Let f(x) = S V1+ y² dy on R. Find the average value of f(x) over the interval [0, 2].

Q: Find the average value of f(x.y) = sin (x+ y) over a. the rectangle 0sXsa/2,0sys3a/2 b. the…

A: In the question we have to find average value.

Q: Find the average value of ƒ(x, y) = x cos xy over the rectangle R: 0≤ x ≤ π, 0 ≤ y ≤ 1.

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Q: Find the average value of ƒ(x, y) = sin (x + y) over the rectangle 0 ≤ x ≤ π, 0 ≤ y ≤ π/2.

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Q: Find the average value of the function on the given interval. а. f(x) 3D seсx tan x on [0, п] 6x2 b.…

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Q: Find the average value of the temperature functionT(x, y, z) = 100 - 25z on the cone z2 = x2 + y2,…

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Q: calculate the average over the given interval. f (x) 1] = cos x,0, π6

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Q: Find the average value fave of the function f on the given interval. f(t) = esin(t) cos(t),    [0,…

A: We know that,

Q: ;Find the average value TX of the function f (x) = 4sin Cos on 2 2 the interval [1,4].

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: 4.) Find the average value of the function f(x, y) = e²+2y over R = {(x, y)|0 < x< In(2), 0 < y <…

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Q: Find the average value have of the function h on the given interval. h(x) = 8 cos“ x sin x, [0, n]…

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Q: Find the average value of ƒ(x, y) = sin (x + y) over the rectangle 0 ≤ x ≤ π, 0 ≤ y ≤ π.

A: Given: f(x,y)=sin(x+y) over the rectangle 0≤x≤π , 0≤y≤π To determine: Average value of given…

Q: Find the average value of the function f(t) = v2t +3 on the interval [-1,3].

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Q: f(x,y) =1+2x + 3y where D= {(x,y): -2<x< 2 and 0<ys4- x}

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Q: Find the average value of the function ƒ(x) = 1/ 1 - sin u on [0, π/6]

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Q: Find the normal line to f(x) = ax - 3ax at x=2. Assume that a is a positive constant.

A: The given function fx=ax2-3ax at x=2.   Formula used:   Formula for finding normal to the function…

Q: Find the average value have of the function h on the given interval. h(x) = 3 cos“(x) sin(x), [0, x]…

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Q: Find the average value of f (x, y) = = 4x cos(xy) over the rectangle R = {(x, y) | 0 < æ < n, 0 < y…

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Q: What is the average value of the function f(x, y) = 2x + 4xy over the rectangle with vertices (0,0),…

A: use all the values and put in function f(x,y)

Q: Find the average value of the function J (1) = VI +1 from x =0 to x = 3.

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Q: Find the average value of the function g(x) over the interval given. g(x) = 2 cos" r sin² x, [0,

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Q: Find the average value of the function g(t) = 1 + tover the interval [0, 4].

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Q: Find the average value of the function f(x) = Vx on the interval [-8, 1).

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Q: 15. Find the average value of f(x)=3x sinx' on the interval 0, (B) (C) (D) 1

A: Given, fx=3x2sinx3, 0, π23

Q: 19. Find the average value of f(x, y) = sin (x + y) over a. the rectangle 0 < x < ™, 0 < y<. b. the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: propose a formula  for the average value of F(x, y,z) along a smooth curve Cparametrized by r(t) for…

A: We asked a formula for the for the average value of F(x, y,z) along a smooth curve Cparametrized by…

Q: Find the average value of f over the given rectangle. f(x, y) = 2e Vx + e', R = [0, 4] × [0, 1]

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Q: Find the average value of f (x, y) = 4x cos(xy) over the rectangle R = {(x, y) | 0 <æ <1 O 1

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Q: ind the average value of the function f (x, y, z) = x² + y² +2²³ over the rectangular prism 0≤x≤ 5,0…

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Q: Calculate the average value of f(x, y) = ex+y on the square domain [0, 1] x [0, 1].

A: Given function fx,y=ex+y The expression for the average value is given by…

Q: Find the Average Value of the function h(t) = sin(at) + 3t² on the t – ·interval [0,1].

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Q: Find the average value of the function f(x, y) = 5/√x² + y² on the annular region a² ≤ x² + y² ≤ b²,…

A: Here we have to find the average value of the function f(x,y) = 5/√(x2+y2) on the annular region…

Q: f(x,y) = cos(x+ y) on R = [0,7]X[0,¤]|

A: Consider the function

Q: Evaluate the line integral of f(x,y) along the curve C. 7) f(x, y) = x5 √1+ 4y ,C: y=x², 0≤x≤ 3

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Q: Find the average value of the function over the given interval- os (x)sin(x), TC f(x) = COS %3D

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the average value of the function f(x)  = t Sin (t2) onthe interval [0, 2].

A: We use the formula f¯=1b–a∫abfxdx.

Q: Find the average value of f (x, y) = 4x cos(wy) over the rectangle R = {(x, y) | 0 < x < T, 0 <y <…

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Q: Find the average value of the function ƒ(x) = 1 /(1 - sin u) on [0, pai/6] .

A: The average value ‘A’ of a function f(x) on any interval (a, b) is given by the formula.

Q: Find the average value of the function g(x) over the interval given. g(x) = 2 cos x sin? x, [0, 2:

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Q: Find the Average value of f (x) = 5t sin(t²) on the interval [ 0, VT ]

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Q: Find the total differential. z = x sin xy

A: Given: z=x sinxy To determine: The total differential of the given function.

Q: Find the average value of the function f(t) = 4 sec(t) tan(t) on the interval [0, T/4].

A: Given,         The average value of the function ft=4secxtanx on the interval 0,π4.We know that,…

Q: Given: f(x, y) = xy + 10; R is bounded by y = x5 and y = 5x Question: What is the average value of…

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Q: 1. Find the average value of the function f(x, y) = sin(r+y) over the rectangle 0 < a < 27 and 0 < y…

A: Given: fx,y=sinx+y and R:0≤x≤2π,0≤y≤π2. To Find: Average value of given function over given…

Q: Find the average value of f over the region D. f(x, y) = 6x sin(y), D is enclosed by the curves y =…

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Q: Find the average value of the function on the giveninterval.   h(x)   = Cos 4x Sinx  , [0 ,π]

A: Our Aim is to find the average value of the function given below:-h(x)=cos4 (x) sin (x) on the…

Q: Find the average value of the function ( x) in the interval [- T, n]. f(x) = sin xcos'x а. п b.0 C.…

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Q: Find the average value of f(x) = 3 sin (x) + 5 cos (x) over the interval 0, [0]. 3

A: The function f(x)=3 sin(x)+5 cos(x) over the interval 0,π3

Q: Find the normal line to f(x) = ax 8ax at x= 9. Assume that a is a positive constant.

A: