Please answer all parts Thank You 5. Find the length of the curve• r(t) = cos(t)i+sin(t)j + ln(cos(t))k6. Use the Chain Rule to find the indicated partial derivative• w=xy+yz+zx, x=rcos (0), y=rsin(0), z=r0;we when r = 2, 0 = π/27. Find the directional derivative of the function at the given point in the direction of thevector v●0≤t≤π/4f(x, y, z)= xey + ye²+zet, (0,0,0) v = (5,1, -2)

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Answered: 5. Find the length of the curve • r(t)…

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5. Find the length of the curve • r(t) = cos(t)i + sin(t)j +ln(cos(t))k 0≤t≤n/4

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 15E

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Question

Please answer all parts Thank You

5. Find the length of the curve
• r(t) = cos(t)i+sin(t)j + ln(cos(t))k
6. Use the Chain Rule to find the indicated partial derivative
• w=xy+yz+zx, x=rcos (0), y=rsin(0), z=r0;
we when r = 2, 0 = π/2
7. Find the directional derivative of the function at the given point in the direction of the
vector v
●
0≤t≤π/4
f(x, y, z)= xey + ye²+zet, (0,0,0) v = (5,1, -2)

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