Implicit Differentiation. Applied Mathematics

In this video we will see about Implicit differentiation

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29. The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100cm2? 30. Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate is the distance between the cars increasing two hours later? 31. Boyle’s Law states that when a sample of gas is compressed at a constant temperature, the pressure and volume satisfy the equa- tion , where is a constant. Suppose that at a certain instant the volume is 600 cm3 , the pressure is 150 kPa, and the pressure is increasing at a rate of 20 kPa/min. At what rate is the volume decreasing at this instant? 32. Two sides of a triangle are 4 m and 5 m in length and the an- gle between them is increasing at a rate of 0.06 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is π/3. 33. A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1 ft/s, (a) how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 6 ft from the wall? (b) how fast is the angle between the ladder and th ground chang- ing when the bottom of the ladder is 6 ft from the wall?

[@smartview8193]

The way you teach is very interesting. Please don't stop making videos.

[@MathTutorialwithDaveMark0893]

Thank you very much

[@bemnetdemere2956]

I love this Dave! Keep on making these videos

[@MathTutorialwithDaveMark0893]

Thanks demere

[@ImuMuluna-u8v]

Jegna teacher.

[@MathTutorialwithDaveMark0893]

Amesegnalew betam

[@goshuindale5240]

Dave really you are clever I wonder you. Keep it up.

[@MathTutorialwithDaveMark0893]

Thanks Goshu

[@EsubalewAbebe-fl9lr]

Tleyalek

[@MathTutorialwithDaveMark0893]

Thanks bro

[@ashebiryaregal9402]

Tnx dave Applied 2n sraln dave

[@MathTutorialwithDaveMark0893]

Eshi Ahebir min chapter lay nachu ahun??

[@AsnakechHaile-b8v]

thanks it is a very good vidio continue!!!

[@MathTutorialwithDaveMark0893]

Thank you, I will

[@1birr2023]

Dave,what about applied 2

[@MathTutorialwithDaveMark0893]

Soon esubalew. What chapter are you being learning???

[@1birr2023]

We are going to start chapter 1 as pre engineering course

[@MathTutorialwithDaveMark0893]

What is chapter 1??? Complex no???

[@-tadaeltube1294]

Thank you very much bro.

[@MathTutorialwithDaveMark0893]

You welcome

[@educationalchannel6067]

thank you

[@MathTutorialwithDaveMark0893]

Very welcome

[@Muselema]

bexam enamesegnalen wendme berta

[@MathTutorialwithDaveMark0893]

Thank you!!!