Рет қаралды 2,565
In this exercise, we parameterize the curve of intersection between the plane z=2x+2 and the paraboloid z=x^2+y^2-1. The curve is a tilted circle. By combining the equations of the two surfaces, we find a parametric description for the curve: r(t) = ( 1 + 2cos(t) , 2sin(t) , 4 + 4cos(t) ). The paramete t ranges from 0 to 2pi, allowing us to trace the entire curve of intersection.
#mathematics #math #multivariablecalculus #vectorcalculus #iitjammathematics #calculus3