An eagle is flying on a helical path so that at time t its ...

[geoffrey]

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]

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[geoffrey]

Thanks for the timely response, appreciate it

[coreycathey]

YES! Correct, THANKS for helping me on my review