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1. [11 Points] DETAILS SCALCETB 14.6.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the directional derivative of fat the given point in the direction

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1. [11 Points] DETAILS SCALCETB 14.6.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the directional derivative of fat the given point in the direction indicated by the angle 6. For. y) = y 035000. (0: 1). 9 =2 ouno,1)=I New Help? 2. [13 Points] DETAILS SCALCETB 14.6.009. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following. fix, 14:1. P(4.1). u=3i+ii y 5 5 (a) Find the gradient of f. Vf(X. y} = (b) Evaluate the gradient at the point P. W4. 1) = (c) Find the rate of change offat P In the direction of the vector u. Duf(4, 1) = I Need Help? 3. [11 Points] DETAILS SCALCET9 14.6.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the directional derivative of the function at the given point in the direction of the vector v. :10, 5, r) : ln(3r+ 65 + 9:), (2, 2, 2), v : 6i + IBj + 9k Duh(2, 2, 2) = I Need Help? @_' Submit Answer 4. [-12 Points] DETAILS SCALCET9 14.6.028. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the maximum rate of change offat the given point and the direction in which it occurs. 5 f(s, 1') = i (7, 7) 52 + ['2 maximum rate of change I direction vector I Need Help? _

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