Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the cylinder x2 + y2 = 64 and the surface z = xy

we are given

equations as

Let's assume

general form of r(t)

We can take

so, x(t) and y(t) satisfies the given equation

now, we can find z

so, we will get vector as

................Answer

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer

26

step-by-step explanation: