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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.

attachment

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