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## Homework Statement

What is the direction and rate of maximum increase?

f(x,y) = x^2 + y^3, v = <4,3>, P = (1,2)

## Homework Equations

## The Attempt at a Solution

The direction should be as same as the gradient so < 2,12>

The rate of maximum increase is magnitude of the gradient so sqrt(4+144) = sqrt(148).

Is that right?