Please show your answer to 4 decimal places. Find the maximum rate of change of the function f(x, y) 2y* at the point (4,1).

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A: GIVEN DATA : Function fx,y=ex2        TO FIND : Maximum rate of change at 3,0 and the direction  The…

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Q: Find the maximum rate of change of the function f(x, y) : 4y4 at the point (1,3)

A: We will solve the problem

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Q: What is the average rate of change of the function f(t) = -3t between t--4 and f--3?

A: what is average rate of change of the function f(t)=t2 -3t between t=-4 and t=-3   answer  put t=-4…

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

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Q: Find the direction in which f (x, y, z) = z exy increases most rapidly at the point (0, 1, 2). What…

A: We have given f(x, y, z) = zexy and the point (0, 1, 2).

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: Given,

Q: F(X, y,z) = 2x -y? +z?

A: F(x,y,z)= 2x-y^2-z^2 at point (4,-4,2) df/dx= 2 df/dy=-2y df/dz= -2z

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Q: Let y=sqrt(2x). Find the rate of change of y with respect to x at x=4.

A: Answer is 1/(2√2).

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Q: Find maximum rate of change of f at the given point. f(x,y)=sin(xy), (1,0)

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Q: Find the maximum rate of change of f(x, y) = (2x - y)3/2 (3,2). at %3D

A: Given,          The function is fx,y=2x-y32 at 3,2.We know that,          The maximum rate of change…

Q: Let f(x, y) = xe*Y. Find the maximum rate of change of f at the point (2, 1). хе

A: We will find the maximum rate of change.

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs…

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Q: 2. Find the derivative of f(x, y, z) = x³ - xy2 - z at Po(1,1,0) in the direction of V = 2ỉ – 3j +…

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Q: Find the maximum rate of change of the function f(x, y) 3y5 x at the point (3,4)

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate. x2 + 8y2 = 33,…

A: Explanation of the answer is as follows

Q: Let f(x, y) = xe". What is the maximum rate of change of f at the point (2,0)?

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Q: Find the maximum rate of change of f(x, y, z) = tan(2x + 7y + 3z) at the point (– 2, – 3, – 6). - -

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: We have to solve

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

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Q: Let x represent the units of labor and y the capital invested in a manufacturing process. When…

A: Relationship between labor and capital model is given as : 160 x0.75y0.25=254,486 We need to find…

Q: Find the maximum rate of change in f (x, y, z) = tan(r + 2y + 3z) at P = (-5,1,1).

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. (x, Y)…

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Q: Let f(z, y) = ze. What is the maximum rate of change of fat the point (2,0)?

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Q: Q. Find the rate of change of z = In Vx² + y² at (3, 4, In 5), (a) In the direction of the positive…

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Q: Find the maximum rate of change of f(x, y) : = ye* at the point (0, 2).

A: Introduction: Let f(x,y) is the function of two variables x and y. then the maximum rate of change…

Q: Find the average rate of change of the function on the interval specified Y=1/x on [1,3]

A: We know that ,The average rate of change of function over an interval a,bis given by f(b)-f(a)b-a

Q: Find the rate of change of volume at the t= 2 sec If ri=2t-1 hisim hi=3ť-t r2= 3t+1 h2=2m h2=4t-1…

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Q: Find the maximum rate of change of the function f(x, y) 4y5 at the point (5,4)

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Q: Find the derivative of the function f (x, y, z) = * ++ at the point (-8, 8,-8) in the direction in…

A: Given thta  f(x,y,z)=x/y+y/z+z/x  To find teh derivative of the function at point p in the direction…