Math 251 University of Arizona Multivariable Calculus Homework There are 3 questions.Please, solve these problems on your own paper, using one piece of pap

Math 251 University of Arizona Multivariable Calculus Homework There are 3 questions.Please, solve these problems on your own paper, using one piece of paper perproblem. Write neatly and clearly. If your work is scattered and/or difficult to follow, you maylose points, because when solving systems of equations this way, notation and organization are important. Math 251
Name:
Homework: Sections 12.6 and 13.1-13.2
1. Sketch/describe the following surface. Your work should include:
a) The sketches of at least three traces.
b) Enough of a rough sketch to demonstrate that you know what the surface looks like. You
may use words to help me understand what you attempted to draw.
c) The name of the surface.
x2
z2
− y2 −
=1
4
9
1
2. Sketch/describe the following surface. Your work should include:
a) The sketches of at least three traces.
b) Enough of a rough sketch to demonstrate that you know what the surface looks like. You
may use words to help me understand what you attempted to draw.
c) The name of the surface.
x2
z2
+ y2 −
=1
4
9
2
3. Find an equation for the line tangent to r(t) = h3t2 , 3t + 4, e2t−2 i at the point (3, 7, 1).
3

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