Given z=4x² + y2 -2 and C: x=cos t, y= sin t for [0,2] a) Find z'(t) using chain rule (not substitution please) b) Imagine you are walking on the surface directly above C consistent with the positive orientation of C. Find the values of t for which you are walking uphill.
Given z=4x² + y2 -2 and C: x=cos t, y= sin t for [0,2] a) Find z'(t) using chain rule (not substitution please) b) Imagine you are walking on the surface directly above C consistent with the positive orientation of C. Find the values of t for which you are walking uphill.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Given z=4x² + y2 -2 and C: x=cos t, y= sin t for [0,2]
a) Find z'(t) using chain rule (not substitution please)
b) Imagine you are walking on the surface directly above C
consistent with the positive orientation of C. Find the values of t
for which you are walking uphill.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9454a43d-48d8-460c-9970-8c1a520f5a48%2F529bc9eb-61a6-41ae-b8b7-f3903a7be89c%2Fnj4xlhp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given z=4x² + y2 -2 and C: x=cos t, y= sin t for [0,2]
a) Find z'(t) using chain rule (not substitution please)
b) Imagine you are walking on the surface directly above C
consistent with the positive orientation of C. Find the values of t
for which you are walking uphill.
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