Question

Multivariable calculus question:

Answer 1

\[\large \frac{dz}{d \theta } = \frac{dz}{dx}\frac{dx}{d \theta} + \frac{dz}{dy}\frac{dy}{d \theta}\]

Answer 2

i am given \[\frac{dz}{dx} = -1\] at (3,4) and\[\frac{dz}{dy} = 2\] at (3,4)

Answer 3

\[\frac{dx}{d \theta} = -\sqrt{5}\sin (\theta )\]

Answer 4

\[\frac{dy}{d \theta} = \sqrt{5}\cos( \theta )\]

Answer 5

@phi @amistre64 @Hero @myininaya @ash2326

Answer 6

put \( \theta =\arctan( 4/3) \)