okay so as I said earlier, I have an assignment on calculus 3. It won’t take that much time to solve. I will attach the assignment here in this message…Calculus III

Homework 5

Solve the following exercises. Show your work. (No credit will be given for an answer with no

supporting work shown.)

#1. Consider the surface y2 + 4z2 – x+4y – 8z + 14 =0.

(a) Classify this surface and sketch it.

(b) Find the trace of this surface in the plane x = 10.

(c) Find the trace of this surface in the plane y=0.

#2. Let C be the curve that is the intersection of the cylinder x2–2x+4y2 = 0 with the plane

z- x = 3. Write parametric equations for C.

#3. Find parametric equations for the tangent line to the curve with parametric equations

x=(sin 2t)-1

y=-3 cos 2t

z=t/5+7

at the point corresponding to t=0.

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