A function z=f(x, y) is defined implicitly by the equation xy2 - x²z+yz² -z = 11 near point (2, -2, -1). The directional derivative of this function in the direction of v = (4, 3) is a) 17/5 b) 7/5 O c) 11/5 O d) 31/5 e) 17/5 Of) 23/5 202

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A: We have to solve the given problems.

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A: Explanation of the answer is as follows

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A: Step 1: Step 2: Step 3: Step 4: Step 5: Step 6:

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A: Suppose f and g are functions such that

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A: We have to find first and second derivative for the given parametric function.

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Q: The roots of the characteristic equation of y"-7y=0 are:  a. √7.-√7  b. 0, 7 c. 7,7 d. 7.-7

A: Here I am attaching image so that you understand each and every step.

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