## Question

###### Let z = f(x,y) where f is a polynomial, and suppose x and y aredifferentiable functions of t. We are given the followinginformation:1. When t = 2, x = 5 and y = 3.2. When t = 2, dx/dt = 4 and dy/dt = -13. âˆ‡f(5,3) = <4,6> Compute dz/dt at t = 2, if possible, or tell that it is notpossible without having more information available.

Let z = f(x,y) where f is a polynomial, and suppose x and y are differentiable functions of t. We are given the following information: 1. When t = 2, x = 5 and y = 3. 2. When t = 2, dx/dt = 4 and dy/dt = -1 3. âˆ‡f(5,3) = <4,6> Compute dz/dt at t = 2, if possible, or tell that it is not possible without having more information available.

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