Author Question: An eagle is flying on a helical path so that at time t its position is given by x = sin t, y= cos t, ... (Read 63 times)

geoffrey · **on:** May 27, 2021

Question 1

Let z = f(x, y), where x = uv², and y =

. Use the chain rule to find

at (u, v) = (2,- 1) given that
f_x(2,- 1) = - 7, f_y(2,- 1) = 5, f_x(2,- 2) = 3, and f_y(2,- 2) = -2.
◦ -12
◦ 4
◦ 2
◦ -5
◦ 5

Question 2

An eagle is flying on a helical path so that at time t its position is given by x = sin t, y= cos t, z = 2t. It is measuring the change of a quantity f whose value at position (x, y, z) is given by f(x, y, z) = x² + xy² + z. How fast does the eagle experience f changing at time t?
◦ 2 sin t cos t - cos³ t + 2 sin² t cos t + 2
◦ 2 sin t cos t + cos³ t - 2 sin² t cos t + 2
◦ 2 sin t cos t - cos² t - 2 sin² t cos t + 2
◦ 2 sin t cos t + cos³ t - 2 sin² t cos t + 1
◦ 2 sin t cos t + cos² t + 2 sin² t cos t + 2

jennafosdick · **Reply #1 on:** May 27, 2021

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Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.

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