How to Conquer Hard Math on the GMAT | Princeton Review

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What is Hard Math?
Best Approach to studying math.
Specialized techniques for Hard Math.
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[@coawarren]

Pro Tip: Play this video at 1.5 speed, or whatever you're comfortable with.

[@deannakennedy1950]

GREAT call!

[@jtuck8832]

I caught on

[@AmerHamayel]

and hit [ > ] whenever you feel you could :D

[@NavaneethaKrishnanA]

Best advise

[@TexasEmperor]

Imagine listening to this voice for a semester.

[@parekhkar1638]

Would love to Wish she could read the question in my exam as well It's just so concise

[@Phanibus]

For Car X, Y problem around 34:00. Just note the difference made up per hour will be (Y-X) miles per hour. you need to cover 60 miles. Time to cover 60 miles at (Y-X) miles per hour is 60/(Y-X)....takes less than 20 seconds.

[@Gotz2bril]

For the cars X & Y problem, you can also easily eliminate B through D because the per the question you are looking for TIME, which is Distance over Rate (D/R)... only choices A and E are consistent with that formation...the remainder of the choices, do not.

[@collegeadmissionsreview4552]

The key to a good GMAT score is practice and preparation!

[@abhibarua5437]

This video is an evidence that the GMAT (at least the quant part of it) is getting harder. Except for a couple, all the questions that were considered to be "hard" 9 years ago can barely qualify as 650 level problems today.

[@kvin9210]

Truth 💯

[@GarrickPinon]

I start my Princeton Review course tomorrow! I'm so thankful and even more excited to partner with you after seeing this. (I purchased my course on blind faith after some decent online due dilligence but I see now I chose right!)

[@gmatclub]

Related videos: FIVE HARD GMAT QUANT QUESTIONS kzbin.info/www/bejne/mJm2oZp5jdWNg9U How to Solve 700 level Quant Questions in 2 Mins kzbin.info/www/bejne/e4aaXmiNhZt_aJI Toughest GMAT Quant on the Digital Whiteboard kzbin.info/www/bejne/i2rMZ5yQm9esjtU Subscribe to our KZbin Channel & Get Forum Quiz Subscription FREE for 7 Days kzbin.info/door/EIeUiExox8otkETZFC9DKA Subscribe and then follow the instructions posted here to activate Forum Quiz gmatclub.com/google_verify.php

[@andreastornes25]

This video was awesome!! Thank you!

[@Pavelslav]

Fantastic help. Thanx a lot

[@silentwhisper2009]

Ok, the question at minute 0:25 states the probability of finding three digits between 1000 to 2000. Correct me if I am wrong, but isn't this supposed to be 38/1001 ? Counting 1000 and 2000 plus all the numbers in between I came with 38, here is the list: 1000 1011 1101 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1121 1131 1141 1151 1161 1171 1181 1191 1211 1222 1311 1333 1411 1444 1511 1555 1611 1666 1711 1777 1811 1888 1911 1999 2000

[@ThatITGuy-jj4cp]

29:55 speed is distance/time so time = distance/speed... the only options with appropriate units are A and E. as time can not be negative and it is given that y > x, answer will be A. There is no need to calculate anything ;)

[@silentwhisper2009]

Great, thanks!

[@JonasAtGuitar]

In the question at about 1:05:00 Shouldn't the answer e 5 ? AB is a code , but BA is also a code and so on , so by E you'd have enough codes

[@juanmanrique2713]

I have the same question. Can anyone please help?

[@Br1CEP]

Juan Manrique It says assume the order of the letters in the codes doesn't matter. Because the order doesn't matter, you could say the name AB=BA. AB is the same as BA because it doesn't matter which order they are in. In other words, AB and BA are the same name and you cannot use it for two factories.

[@ervinkajevic1314]

Delt4 I would go for 5 as well .... because with the first 5 letters you have already covered 5 factories.... thank to the counting method we can se how many "pair combinations" can be created out of 5 different no. 5!/(5-2)!= 30.... so more than enough ... correct me if wrong

[@biggpete100]

It says the order doesn't matter right in the question.

[@Hzsound]

great prep help!

[@TheBuddhhaa]

Thank you - nice video

[@dhanbahadurgurung854]

It's great! i like it

[@patphat5098]

Thank you.

[@rafaqathussain7259]

excellent effort

[@mohdbasryt]

@silentwhisper2009- Not sure why you counted 1111...

[@joetursi9573]

In the problem with two cars, you assumed that the time needed is a whole number of hours and that's why any two speeds that differ by thirty work. for example seventy and forty. Is that a valid assumption? I think a better solution is to simply observe that the only reasonable answer is choice number 1.

[@rafaelriso6090]

factoring 99225 alone would take me more than 2 minutes. Is there a quick approach to factoring large numbers that I'm not aware of?

[@aidigitalnomad]

+Rafael Riso You don't need to factor as the questions asks for a least value for d. the number 99225 is divisible by 3. So 'd' can be 3.

[@duttasujeet]

very helpful video

[@misskikiliu306]

Questions about the first DS example... the question shows D>=2, so without looking at the stems first, can we assume that the least possible value of D could be 2? And CD is a square of a positive integer... after factoring out, the tree shows several squares of different numbers.. I assumed CD could be something like 5^2=25, but not 7^2+3^4 or whatever. It says the square of A positive Int... can someone help me with understanding the wording of these questions..? Just confused as fuc

[@SyntaxErrorXoXo]

42:10, I understand the factoring approach, but I don't understand how we answered the question. It says "What is the least possible value of d" and our answer is "at least 3," it seems to be too inaccurate to adequately answer the original question? I would be tempted to say not sufficient here...

[@ervinkajevic1314]

SyntaxErrorXoXo I would say the same thing.... because for the 1. Statement it would be 3^2= 9..... because 3^2 x 3^2 = 3^4..... and not 3. They did not ask for the factor... they asked for the value

[@zelda4316]

great video

[@bernardorubio3]

In 1:04:42 there's mistake. In the pattern for "D", BC, should be BD. Small mistake that confused me a little bit.

[@atangbingana6129]

for manufacturing Question ... 20 factories x 28 letters = 560 ...factorise and your left with 2x2x2x2x2x5x7 = 6 ..any objections ? @gmatclub

[@johnmiller8214]

17:35 can i use Bhaskara formula?

[@ThePurplePajamas]

These don’t qualify as hard problems anymore :(. Nonetheless, very helpful for someone like me who isn’t great at the subject!

[@marshallbaronial147]

for car X and Y problems, using her method, if i plug in some other digits other than 50 and 80, i don't get '2 hours'. can someone help look into this please.

[@indra81chakr]

I agree with Marshall

[@trifelifeee3365]

Exactly what I said!! Those numbers (50 & 80) seem to be the only “random” numbers that will satisfy this problem. Very misleading.

[@i4c0gli0ni]

Not misleading at all, it’s just one of the possible answers. Notice that the problem is NOT asking you to find the exact hours, but rather the function that gives you the time it takes when you insert the speeds (x and y). In that case it was 2 hours, I instinctively solved it with x = 10 and y = 20, in which case the car will “gain” 10 miles for every hour and it will take 6 hours in total, but the final answer is always the same: 60/(y-x): in my case, 60/(20-10).

[@alyssapietanza9652]

can you please explain how you got the 312 on the test score problem?

[@TheBookloverforever]

Highest score = 84 Lowest score = 74 median = 77, which means average of middle two scores = 77, or the sum of middle two numbers = 154 Sum of first four scores = 84+74+ 154 = 312

[@bharatvarma9167]

For car X and car Y problem if we assume X=40 and Y=60 as Y>X but we are not getting the exact answer. if we are assuming for every assumption we should get the same answer. Could you explain.

[@trifelifeee3365]

Bharat Varma I’m wondering the same thing!

[@lapaternalaj]

It asks for exactly 3 identical numbers, not more. so 1111 should not be counted.

[@biggpete100]

I got every question right, easily. These are hard??

[@trifelifeee3365]

Car aX and Car Y problem is misleading. The values that the narrator chose to plug in at “random”, are the only values that satisfy the problem. @30:00

[@d0pel0gic]

at 28:35 why is 1000 not counted as well?

[@misskikiliu306]

d0pel0gic omg omg that was my question too?! So I counted 38 as the total wanted number

[@23Drezzy]

I think it is included in 1 of the sets of 9 that is multiplied with the other 2 to equal 36

[@Just-ing]

I'm 9 years late for this video 😁. Nonetheless. It's useful. Thank You again

[@atangbingana6129]

is this worth watching?

[@miguelangelponce8553]

IN TWO OURS THEY ONLY MATCH, AND NOT OVERTAKE 'car Y' TO 'car X'

[@bernardorubio3]

Answer for silentwhisper2009: In 28:33, you can't count the number "000" twice, therefore, answer should be 37/1001, instead of 38/1001.

[@brilliantstarhomes2300]

You lost one X in the Quadratic approach your second problem.

[@misskikiliu306]

And the counting 3-same digit question... why wasn’t 1000 counted? Then it would make 38 wanted number instead of 37? Idk what’s going on guys

[@trifelifeee3365]

Miss Kiki Liu 1000 was counted (1___ ; there are 9 possibilities; 1000,1222,1333,1444,1555,1666,1777,1888,1999)

[@blahblahblahXDD]

watched this in 2x speed

[@nanair01]

The answer for the probability question at 25th minute is wrong. It should be 41/1001, but such an answer is not available. Instead of having 9 of each set, there is 10 of each set; 0 was not taken into consideration at all. Am I right? 1_11 (replacing the _ with 0 to 9 gives 10 numbers) 11_1(replacing the _ with 0 to 9 gives 10 numbers) 111_(replacing the _ with 0 to 9 gives 10 numbers) 1___(this gives 10 numbers again) All these together with 2000 gives us 41.

[@realexarkun]

+Abhilash Nair for each gap (1_11, 11_1,111_ and 1___) there are 9 numbers you can put in, not 10. you can put in 0,2,3,4,5,6,7,8,9 but NOT 1, because then you would have 4 times the same digit, not three times. so 4 times 9 possibilities = 36, plus the possibility of 2000 -> 37 possibilities in total.

[@nanair01]

+realexarkun yes... I got it confused... thanks

[@oliverneedham1174]

Question at 29:30 is incorrect. Should include 1000 and 2000 - so 38 / 1001.

[@gmatclub]

Thank you for your comment and thanks for watching. It appears the presented accounted for both numbers inclusive, hence it is 1001 in the denominator. This question is also discussed here: gmatclub.com/forum/slips-of-paper-are-numbered-from-1000-to-297010.html - feel free to post your question there to point out a flaw. Thank you.

[@javierbeltran7623]

silentwhisper2009...You need to eliminate 1111 because it has more than 3 identical digits..

[@sayan3129]

you cannot count 1111 as it has asked for exactly 3 identical nos.

[@bprijadi]

1222, 1333, 1444, 1555, ..., 1999?

[@Kamisama1993]

Around 42.30, what kind of brain do you need to factor 2 numbers like these without calculator and under 2 minutes...

[@MsSarita8]

Theres a trick to dividing by 5, all you have to do is double the number you are dividing by 5 and move the decimal one point over to the left. So in this example, if you double 99,225 you get 198,450 and move decimal over the answer would be 19845. And if your stuck at doubling big numbers like 99225 its easy you can start by doubling each number by itself starting from number 5 in this example :)

[@DAukes]

never heard of a factor tree in my life

[@misskikiliu306]

slpaukes I thought she said “factory”

[@theresa78201]

This video has enough errors that it should be dropped from the gmatclub channel.

[@princenimbalkar96]

So does your sentence😋

[@frankdimeglio8216]

The page Nexus of Physics has now given the following two writings the thumbs up on their page. ALSO consider this: E=mc2 is DIRECTLY and fundamentally derived from F=ma, AS E=mc2 IS F=ma; AS time DILATION proves that electromagnetism/ENERGY IS GRAVITY. THE UNIVERSAL AND MATHEMATICAL PROOF THAT ELECTROMAGNETISM/ENERGY IS GRAVITY: Energy has/involves GRAVITY, AND ENERGY has/involves inertia/INERTIAL RESISTANCE. "Mass"/ENERGY IS GRAVITY. ELECTROMAGNETISM/ENERGY IS GRAVITY. E=mc2 is DIRECTLY and fundamentally derived from F=ma. GRAVITATIONAL force/ENERGY IS proportional to (or BALANCED with/as) inertia/INERTIAL RESISTANCE, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. SO, gravity/acceleration involves BALANCED inertia/INERTIAL RESISTANCE consistent with/as what is BALANCED electromagnetic/gravitational force/ENERGY; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. "Mass"/ENERGY involves BALANCED inertia/INERTIAL RESISTANCE consistent with/as what is BALANCED electromagnetic/gravitational force/ENERGY, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. Gravity AND ELECTROMAGNETISM/ENERGY are linked AND BALANCED opposites, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. THE SUN AND THE EARTH are described and represented by BOTH F=ma AND E=mc2. F=ma AND E=mc2 PROVE that ELECTROMAGNETISM/ENERGY IS GRAVITY, AS ALL of SPACE is NECESSARILY electromagnetic/gravitational (IN BALANCE). Objects fall at the same rate (neglecting air resistance, of course), AS the SPEED OF LIGHT is RELATIVELY CONSTANT AS WELL. ELECTROMAGNETISM/ENERGY IS GRAVITY. Gravity IS ELECTROMAGNETISM/ENERGY. In fact, the rotation of THE MOON MATCHES it's revolution; AS gravity/acceleration involves BALANCED inertia/INERTIAL RESISTANCE; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. So, THE PLANETS (INCLUDING WHAT IS THE EARTH) are not "falling" in what is "curved SPACE" in RELATION to what is THE SUN. This is nonsense. E=mc2 is DIRECTLY AND FUNDAMENTALLY DERIVED FROM F=ma. This truly explains PERPETUAL MOTION. Very importantly, outer "space" involves full inertia; AND it is fully invisible AND black. The stars AND PLANETS are POINTS in the night sky. A PHOTON may be placed the center of THE SUN (as A POINT, of course), as the reduction of SPACE is offset by (or BALANCED with) the SPEED OF LIGHT; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. By Frank DiMeglio EINSTEIN NEVER UNDERSTOOD PHILOSOPHY, MATHEMATICS, AND PHYSICS, AS HE HAS BEEN TOTALLY OUTSMARTED BY SIR FRANK MARTIN DIMEGLIO: The balance of being AND EXPERIENCE is ESSENTIAL. BALANCE AND completeness go hand in hand. THE SELF represents, FORMS, and experiences a COMPREHENSIVE approximation of experience in general by combining conscious and unconscious experience. MOREOVER, the ability of THOUGHT to DESCRIBE OR RECONFIGURE sensory experience is ULTIMATELY dependent upon the extent to which THOUGHT IS SIMILAR TO sensory experience. THOUGHTS ARE INVISIBLE. Dream experience is/involves true/real QUANTUM GRAVITY, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. MOST IMPORTANTLY, in dreams, BODILY/VISUAL EXPERIENCE is invisible AND VISIBLE IN BALANCE. IMPORTANTLY, dream experience is possible/potential AND actual IN BALANCE. THE EYE is ALSO the body. Dreams improve upon memory AND UNDERSTANDING. Indeed, there is no outsmarting the GENIUS of dreams. OVERLAY what is THE EYE in BALANCED RELATION to/with what is THE EARTH. NOW, get a good LOOK at what is the translucent, SEMI-SPHERICAL, QUANTUM GRAVITATIONAL, AND BLUE sky. Excellent. The DOME of a person's EYE is ALSO VISIBLE. THE EARTH IS also BLUE (as water). F=ma AND E=mc2 PROVE that, why, and how ELECTROMAGNETISM/ENERGY IS GRAVITY. This NECESSARILY represents, INVOLVES, and describes what is possible/potential AND actual IN BALANCE. SO, it is NECESSARILY a matter of precisely how these equations are understood in a BALANCED, EXTENSIVE, AND INTEGRATED fashion in RELATION to/with WHAT IS THOUGHT. The INTEGRATED EXTENSIVENESS of THOUGHT (AND description) is improved in the truly superior mind. E=mc2 is DIRECTLY and fundamentally derived from F=ma. Very importantly, outer "space" involves full inertia; AND it is fully invisible AND black. The stars AND PLANETS are POINTS in the night sky. A PHOTON may be placed at the center of THE SUN (as A POINT, of course), as the reduction of SPACE is offset by (or BALANCED with) the SPEED OF LIGHT; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. Get a good LOOK at what is THE EYE. POINTS are points. Gravity IS ELECTROMAGNETISM/ENERGY. ELECTROMAGNETISM/ENERGY IS GRAVITY. GRAVITATIONAL force/ENERGY IS proportional to (or BALANCED with/as) inertia/INERTIAL RESISTANCE, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. "Mass"/ENERGY involves BALANCED inertia/INERTIAL RESISTANCE consistent with/as what is BALANCED electromagnetic/gravitational force/ENERGY, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. Gravity/acceleration involves BALANCED inertia/INERTIAL RESISTANCE, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. "Mass"/ENERGY IS GRAVITY. ELECTROMAGNETISM/ENERGY IS GRAVITY. Energy has/involves GRAVITY, AND ENERGY has/involves inertia/INERTIAL RESISTANCE. F=ma AND E=mc2 PROVE that ELECTROMAGNETISM/ENERGY IS GRAVITY, AS ALL of SPACE is NECESSARILY electromagnetic/gravitational IN BALANCE; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. GREAT. The stars AND PLANETS are POINTS in the night sky. OPEN your EYES. NOW, LOOK at what is the FLAT, SETTING, AND ORANGE SUN (with the SPACE around it THEN going invisible AND VISIBLE IN BALANCE). This ORANGE SUN manifests or forms at what is EYE LEVEL/BODY HEIGHT as well. This ORANGE SUN is manifest ON BALANCE as what is NECESSARILY the BODILY/VISUAL EXPERIENCE of THE EARTH/LAVA. The viscosity of LAVA IS BETWEEN what is manifest as WATER AND THE EARTH/GROUND. ALL of SPACE is NECESSARILY electromagnetic/gravitational IN BALANCE, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. F=ma AND E=mc2 do provide absolute, BALANCED, THEORETICAL, and CLEAR proof that ELECTROMAGNETISM/ENERGY IS GRAVITY. Gravity/acceleration involves BALANCED inertia/INERTIAL RESISTANCE, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. THEREFORE, the rotation of THE MOON MATCHES it's revolution. MOREOVER, a given PLANET (INCLUDING WHAT IS THE EARTH) sweeps out equal areas in equal times; AND this is THEN consistent with/as what is F=ma, E=mc2, AND what is PERPETUAL MOTION; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. It ALL makes perfect sense. BALANCE AND completeness go hand in hand. THE PLANETS (INCLUDING WHAT IS THE EARTH) are NOT "falling" in what is "curved SPACE". In fact, this is nonsense. It is PROVEN. By Frank DiMeglio

[@poojashah3345]

@@frankdimeglio8216 why

[@frankdimeglio8216]

Frank DiMeglio is RECOGNIZED as having surpassed Newton and Einstein.

[@frankdimeglio8216]

@@poojashah3345 THE THEORETICAL, SIMPLE, ULTIMATE, CLEAR, LINKED, BALANCED, AND EXTENSIVE MATHEMATICAL UNIFICATION OF PHYSICS/PHYSICAL EXPERIENCE IS PROVEN, AS E=MC2 IS F=MA: Very importantly, outer "space" involves full inertia; AND it is fully invisible AND black. Energy has/involves GRAVITY, AND ENERGY has/involves inertia/INERTIAL RESISTANCE. The perpetual motion of THE PLANETS in RELATION to WHAT IS THE SUN is the result of the fact that gravity/acceleration involves BALANCED inertia/INERTIAL RESISTANCE, as this IS proven by F=ma AND E=mc2. GREAT !!!! ACCORDINGLY, a given PLANET sweeps out equal areas in equal times; AS GRAVITY IS ELECTROMAGNETISM/ENERGY. THEREFORE, this NECESSARILY represents, involves, and describes what is MOTION AND NO MOTION IN BALANCE. SO, THE SPEED OF LIGHT (c) IS THEN understood as a POINT; AS the SPACE that envelopes THE EARTH IN BALANCE IS the MIDDLE DISTANCE in/of SPACE. E=mc2 IS F=ma, AS time DILATION ULTIMATELY proves that electromagnetism/ENERGY IS GRAVITY. (BALANCE and completeness go hand in hand.) Gravity IS ELECTROMAGNETISM/energy. Indeed, gravity AND ELECTROMAGNETISM/energy are linked AND BALANCED opposites; AS ELECTROMAGNETISM/energy is gravity. Again, E=mc2 IS F=ma. OVERLAY what is THE EYE in BALANCED RELATION to/with WHAT IS THE EARTH. NOW, LOOK at what is the translucent, semi-spherical, AND BLUE SKY. THE EARTH is ALSO blue. SO, objects fall at the SAME RATE (neglecting air resistance, of course); AS E=mc2 IS F=ma; AS electromagnetism/ENERGY IS GRAVITY. Great. Gravity IS ELECTROMAGNETISM/energy. ELECTROMAGNETISM/ENERGY IS GRAVITY. This is proven by F=ma AND E=mc2. Indeed, a PHOTON may be placed at the center of THE SUN (as a POINT, of course); as the reduction of SPACE is offset by (or BALANCED with) the SPEED OF LIGHT (c). GREAT. ELECTROMAGNETISM/energy IS gravity. This is proven by F=ma AND E=mc2. "Mass"/energy involves balanced inertia/inertial resistance consistent with/as what is BALANCED electromagnetic/gravitational force/energy, as electromagnetism/energy is gravity. Gravity AND electromagnetism/energy are linked AND balanced, as electromagnetism/ENERGY IS GRAVITY. ACCORDINGLY, gravity/acceleration involves balanced inertia/inertial resistance; as gravity IS ELECTROMAGNETISM/energy. The stars AND PLANETS are POINTS in the night sky. Objects fall at the SAME RATE (neglecting air resistance, of course), AS ELECTROMAGNETISM/energy is gravity. E=mc2 IS F=ma. Gravity IS ELECTROMAGNETISM/energy. Carefully consider what is THE EYE along with the falling man. "Mass"/ENERGY IS GRAVITY. ELECTROMAGNETISM/ENERGY IS GRAVITY. ELECTROMAGNETISM/ENERGY IS GRAVITY. This is proven by F=ma AND E=mc2. (E=mc2 is directly and FUNDAMENTALLY DERIVED FROM F=ma, as ELECTROMAGNETISM/ENERGY IS GRAVITY. That is where Einstein got it from.) This NECESSARILY represents, involves, AND describes what is possible/potential AND actual IN BALANCE. THOUGHTS are invisible. Very importantly, the ability of THOUGHT to DESCRIBE OR RECONFIGURE sensory experience is ULTIMATELY dependent upon the extent to which thought is SIMILAR to sensory experience. SO, BOTH equations apply to, represent, AND perfectly describe the MIDDLE DISTANCE in/of SPACE as invisible AND VISIBLE ELECTROMAGNETIC/GRAVITATIONAL SPACE in FUNDAMENTAL equilibrium AND BALANCE; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. The BALANCE of being AND EXPERIENCE is essential. "Mass"/ENERGY IS GRAVITY. ELECTROMAGNETISM/ENERGY IS GRAVITY. Consider THE MAN who is standing on WHAT IS the EARTH/GROUND. Touch AND feeling BLEND, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. E=mc2 IS F=ma. Gravity IS ELECTROMAGNETISM/energy. It ALL CLEARLY makes perfect sense. Take careful notice of WHAT IS THE ORANGE SUN. Beautiful. Now, carefully consider the role and RELATIONAL significance of what is the eyelid. Consider what is lava. The viscosity of lava is BETWEEN that of what is water AND what is the Earth/ground. Gravity IS ELECTROMAGNETISM/energy. E=mc2 IS F=ma. ELECTROMAGNETISM/energy is gravity. Time DILATION ALSO ULTIMATELY proves that GRAVITY IS ELECTROMAGNETISM/ENERGY. E=mc2 IS F=ma. Indeed, this not only explains the term c4; but it ALSO explains the significance of the fourth spatial dimension. GREAT !!! Notice that THE DOME of a person's EYE may also be visible. THINK. IT IS CLEARLY PROVEN. "Mass"/ENERGY IS GRAVITY. ELECTROMAGNETISM/ENERGY IS GRAVITY. The stars AND PLANETS are POINTS in the night sky. INSTANTANEITY is thus FUNDAMENTAL to what is the FULL and proper understanding of physics/physical experience, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. E=mc2 IS F=ma, AS gravity/acceleration involves BALANCED inertia/INERTIAL RESISTANCE; AS the rotation of WHAT IS THE MOON matches it's revolution. Moreover, objects fall at the SAME RATE (neglecting air resistance, of course); AS ELECTROMAGNETISM/ENERGY IS GRAVITY. Gravity IS ELECTROMAGNETISM/energy. INSTANTANEITY is thus FUNDAMENTAL to what is the FULL and proper understanding of physics/physical experience, AS ELECTROMAGNETISM/energy is gravity. Ultimately and truly, time is NECESSARILY possible/potential AND actual IN BALANCE; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. (E=mc2 IS F=ma.) This NECESSARILY represents, INVOLVES, AND describes what is possible/potential AND actual IN BALANCE, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. The INTEGRATED EXTENSIVENESS of thought (AND description) is improved in the truly superior mind. THINK. Gravity IS ELECTROMAGNETISM/energy. Time DILATION ULTIMATELY proves that electromagnetism/ENERGY IS GRAVITY, AS E=mc2 IS F=ma. The full distance in/of SPACE is thus LINKED and BALANCED with what is the middle distance in/of SPACE, AS ELECTROMAGNETISM/ENERGY IS GRAVITY. E=mc2 IS F=ma. GREAT !!!! The stars AND PLANETS are POINTS in the night sky. SO, stellar clustering ALSO proves that electromagnetism/ENERGY IS GRAVITY. Carefully consider what is A GALAXY. (BALANCE AND completeness go hand in hand.) By Frank DiMeglio

[@MsDyannka]

2:50 LIKE I SAID...big grammar mistake

[@metalboy9722]

1.25x makes it human acceptable

[@barbaraclay64]

Blurry

[@fletcher1312]

her voice kills me.

[@mistersmith7391]

he must have his voice box in his nose.

[@delbatchio]

Great video but it's painful to listen to the instructors voice. Her voice is horrible

[@dhagos]

Why is this video labelled conquering hard math? Anyone who is capable of doing difficult math will not benefit from this video... math for beginners is a more suitable label.

[@biggpete100]

Exactly. This was very basic. I got every question right and had to fast-forward through her explanations as the problems were too elementary

[@AmericanWithTheTruth]

Since calculus? Isn't it a little silly to actually assume that most of us actually had calculus? LOL! Most degrees don't require calculus.

[@MrGaryo78]

l

[@AmericanWithTheTruth]

MrGaryo78 You just used a subjective term called worth, that within context can not be quantified.For someone that holds a personal opinion on this topic on the importance of needing Calculus, I find great irony in the matter. Now shall I go through the number of degrees and professions that don't use nor will ever use Calculus? We can quantify values and compare salaries if you want... ???

[@AmericanWithTheTruth]

MrGaryo78 FYI... Finance does not require Calculus nor is it required to be considered a software engineer.

[@MrGaryo78]

Tom Brooks

[@AmericanWithTheTruth]

MrGaryo78 Congratulations! I have 4 degrees. Those are in electronics systems technology, Informatics both BS and MS and a cert in Computer Science. Guess what? None required Calculus. And guess what? I have worked for both full time and and by way of contracts on very lucrative applications from everything from racing organizations to Apple and Motorola core apps. Oh yeah those degrees from CCAF, Utah State, IU, and Purdue. Enjoy!

[@ssali123]

Brutal listening to this lady talk. Self-righteous "master" annoyance!

[@SenorMorgenStern]

+Sikander Ali Maybe she's snobbish, but I would still love to meet her. I know this may sound rude, but she makes my math hard. :-)