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Course: MATH 243, Spring 2012School: Delaware
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243, Math Sections 013 and 015, Spring 2012 Suggested discussion problems, Feb 28th or Mar 1st 1. Find an equation of the plane that passes through the point (6, 0, 2) and contains the line x = 4 2t, y = 3 + 5t, z = 7 + 4t. 1 2. Sketch the region bounded by the surfaces z = for 1 z 2. 2 x2 y + 2 and x2 + y 2 = 1 3. Sketch the region bounded by the paraboloids z = x2 + y 2 and z = 2 x2 y 2 . 3 4. Sketch...
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243, Math Sections 013 and 015, Spring 2012
Suggested discussion problems, Feb 28th or Mar 1st
1. Find an equation of the plane that passes through the point (6, 0, 2)
and contains the line x = 4 2t, y = 3 + 5t, z = 7 + 4t.
1
2. Sketch the region bounded by the surfaces z =
for 1 z 2.
2
x2 y + 2 and x2 + y 2 = 1
3. Sketch the region bounded by the paraboloids z = x2 + y 2 and z =
2 x2 y 2 .
3
4. Sketch the graph of the space curve r(t) = t, t2 , et . Also nd its
curvature (as a function of t). (Note that the computations may be messy,
and Maple may be of some help.)
4
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Delaware - MATH - 243
Math 243, Sections 013 and 015, Spring 2012Suggested discussion problems, Feb 28th or Mar 1st1. Find an equation of the plane that passes through the point (6, 0, 2)and contains the line x = 4 2t, y = 3 + 5t, z = 7 + 4t.2. Sketch the region bounded by
Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - MATH - 243
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Delaware - ELEG - 305
Delaware - ELEG - 305
Delaware - ELEG - 305
Delaware - ELEG - 305
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Delaware - ELEG - 305
Delaware - ELEG - 305
Delaware - ELEG - 305
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