Delta College Week 3 Multivariable Calculus Questions

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Breakout Room Session Wk 03 Thursday Breakout Session is a
Submission Only Breakout Session and is due on Sunday, June 27.
Any discussion and strategy for your writeups will be done
independently with your network or by yourself. You can submit
this Breakout Session three times so submit an early version in
case you forget.
Warning: All work and writeup should have distinct voices to
indicate to me that you understand the problem and logic. DO
NOT just copy someone else’s writeup. It will be a zero on both
papers.
Presentation Problem #1: Section 13.1 page 882 #80
You may plot the equipotential curves using CalcPlot3D or by sketching your three curves by hand. In any
case, provide a little explanation of what you would need to do.
Explain and Deliver:
Before I could arrive at my solution, I had to . . .
Here are the calculations that are outlined in the
description of my process.
Presentation Problem #2: Section 13.3 page 902 #116
Explain and Deliver:
Before I could arrive at my solution, I had to . . .
Here are the calculations that are outlined in the
description of my process.
Presentation Problem #3: Section 13.4 page 910 #30
Explain and Deliver:
Before I could arrive at my solution, I had to . . .
Here are the calculations that are outlined in the
description of my process.
Presentation Problem #4: Section 13.6 page 929 #50 (modified by instructor)
Explain and Deliver:
Before I could arrive at my solution, I had to . . .
Here are the calculations that are outlined in the
description of my process.
Breakout Room Problem #5:
Problem #5 is not from your text but will allow me to see how you can put the concepts of
Chapter 13 together to solve this problem. This problem is “similar to” what is
demonstrated in example #3 on page 896 of your text. Create the Calcplot3D images that
displays the following descriptions:
A point moves along the path of the curve which is the intersection of the surface z = x 2 + 4y2 and the
plane y = 1.
a) Find the slope of the tangent line at (-1, 1, 5).
b) Find the equation of the tangent line at (-1,1,5)
A point moves along the path of the curve which is the intersection of the surface z = x 2 + 4y2 and the
plane x = -1.
c) Find the slope of the tangent line at (-1, 1, 5).
d) Find the equation of the tangent line at (-1,1,5)
e) Use CalcPlot3D to graph the three surfaces, the two curves of intersection, respectively, and the two
tangent lines at (-1, 1, 5)
Explain and Deliver:
Before I could arrive at my solution, I had to . . .
Here are the calculations that are outlined in the
description of my process.

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calculations

center

Radius

substitute

equipotential curves

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