The average rate of change of the function f(z) = 13z +4 on the interval [1, 4] is

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Q: 3) Find the maximum rate of change of f at the given point P and the direction in which it occurs.…

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Q: 2. Find the derivative of the function at PO in the direction of u. f(x,y)=6x-7y, P0(-7,-2), u=4i-3j

A: We have to find derivative

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A: To find the derivative of the function f(x,y)=x2y+y2z at P0(1,2,3) in the direction of…

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

A: Note: where △f(x,y) = ∂f∂x,∂f∂y

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A: Given: fx=cosx  0,π2

Q: consider the function f(x, y) = esin(x), Find the maximum rate of change of f at the point (, 1).

A: The direction of maximum increase of f is given by ∇fx,y.Maximum value of Du→fx,y or rate of…

Q: Find the average rate of change for function over the given interval.

A: Given  y=3x-2.

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Q: What is the average rate of change of the function f ( x ) = 3 x over the interval [ 2 , 5 ]

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Q: Find the maximum rate of change of the function f(x, y, z) = xy + yz - xz at the point P,(1, -3, 4).

A: As per our guidelines we are supposed to answer only one question.

Q: Find the maximum rate of change of the function f(x, y) 4y at the point (5,1)

A: Given f(x, y) at (5, 1)  We have to find find the maximum rate of f(x, y) at (5, 1) by using the…

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

Q: e) The maximum rate of change of f(x, y) at the point (x, y) = (1, 0) is

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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: What is the formula for the linearization of a function f at the point x = a? %3D

A: Given :To provide the formula for linearization of a function f at the point x=a

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A: Givena function y = 5x + 7, between x = -1 and x = 0 Average rate of change for the function over…

Q: 2) Find the maximum rate of change of f at the given point P and the direction in which it occurs.…

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

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Q: 3. Find the derivative of the function f(x, y, z) = xy³ + yz³ + zx³ at the point (-1, 2, 1) in the…

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Q: 3. If f(r, y) = x*y - 2x-4y, then the total derivative of f

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Q: Find the average rate of change of the function over the interval [-2, 1] f(x) = 2.x³ – 5.x +3

A: To determine the average rate of change of the below function over the interval [-2,1]. fx=2x3−5x+3

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

A: Topic- Vectro

Q: find the average rate of change of the function overthe given interval or intervals. g(t) = 2 + cos…

A: Given, g(t)=2+cost, -π,π The average rate of change of function f(x) over an interval [a,b] is,…

Q: consider the function f(x, y) = esin(= Find the maximum rate of decrease of f at the point

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Q: Find the average rate of change of the function from x, to x,. Function x-Values f(x) = x² – 3x + 8…

A: The given function and x -values are: fx=x2-3x+8, x1=1, x2=5 Now, calculate the average rate of…

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

A: Given function and point is

Q: Find the direction of maximum decrease of the function f(x, y, z) =exyz at the point P(1,1,1) and…

A: Given function is

Q: given the function f(x) = (x+4)^2 + (y-2)^2 (i)find the critical points (ii)using the second…

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Q: Find the derivative of the function f(x, y) = e³ at the point (0, 2) in the direction in which the…

A: The derivative of function f(x,y) can be determined by the gradient of the function,…

Q: Find the magnitude of the greatest rate of change of f(x, y, z) = (x2 + z2)3 at (1, 3, -2), and…

A: Consider the provided question,

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)

A:

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

A:

Q: The total derivative of f(x,y )=3 x+ 3 y-41n y is

A: Given function is fx,y=3x3+3y2-4 ln y find the total derivative  dz=fxx,ydx+fyx,ydy

Q: Find the derivative of the function f(x,y) = tan at the point (3, - 3) in the direction in which the…

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Q: Find the average rate of change of the function w(x) = v 25 – x on the interval [16,16 + h] when:…

A: Consider the given function and find the value of w(x) at different intervals.

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

Q: What is the average rate of change of f(X)= X2-2 on the interval [-1,3]?

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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: Find the direction of the maximum rate of increase of f(x,y, z) = y²sinxz² at the point (0,3, –1).…

A: Given the function f(x,y,z)=y2sin(xz2) And the point (0,3,-1)

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: Show that the average rate of change of the linear function f(x) = a over any interval say [x1,x2]…

A:

Q: The total derivative of the function f(x, y) =3x'y- xy is

A: Find the total derivative

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 average rate of change of the function f(x)=x2  on the interval [x, x+h]

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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…

Q: 35. Find all points at which the direction of greatest rate of change of the function f (x, y) = x²…

A: Find your answer below