1. A cable that weighs 2 kg/meter is used to lift 500 kg of coal up a mine shaft 200 meters deep. Find the work done. 2. Find the average value of the function Cos*x sin x on the interval [7/2, 7].

Q: Show that the average value of sin^2t over [0,2pi] is equal to 1/2. Without further calculation…

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Q: Find the average value have of the function h on the given interval. h(x) = 6 cos“ x sin x, [0, 1]

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Q: Find the average value of the function f(x) = 6 sin x on the given intervals. a) Average value on…

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Q: 13- What is the average value of the function f) = sin' X COSX on the interval 0.? 3 a) 27 b) 2 d)…

A: Given function:                     f(x) = sin2 x cos x                              on the interval…

Q: If f(x) = tan x, which of the equations below describes the average value of f(x) over the interval…

A: We have to find the average value of the given function. This problem can be solved by using formula…

Q: A 10 V sine wave is passed through a full-wave rectifier. The average and RMS voltage of the…

A: As per bartleby guidelines we only give first  questions answers.

Q: Find the average value TEX of the function f (x) =4sin cos on - 2 the interval [1,4].

A: Given problem:- f(x) =4 sin(πx/2) cos(πx/2)  To find:- Average value of the function over interval…

Q: at f" si sin rdr = 2, find the average value of the sine function on the interval [0.7]. Also, find…

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

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Q: L(cos(at)sinh(at))

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Q: Find the average value have of the function h on the given interval. h(x) = 7 cos (x) sin(x), [0, 1]…

A: The average value for the given function is given as,

Q: IV. Approximate the following up to 4 decimal places using Maclaurin's series... 1. sin (110) 2.…

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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: Determine the average value of the function y = 3 sin( [ n/ 9] x) on the interval 0 s x 9. 3 2.5 2…

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Q: 2. Given: cosh x==(e²+ e*), sinh x=(e-e), use these 1-1/1 definitions to show that cosh’x−sinh’x=1.

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Q: Find the approximate value of cos59 with the help of differential. w

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Q: Determine the Average Function Value in the given interval of the following:…

A: Consider a function fx over the interval a,b. Then, the average value of the function fx on the…

Q: Find the average value gave of the function g on the given interval. g(x) = 8 cos(x), 2 9ave

A: Given

Q: Find the average value have of the function h on the given interval. h(x) = 2 cos x sin x, [0, «]…

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Q: Find the average value of the function f(x) = 2sin®(x)cos³(x) on the interval

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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: f(x) = 8 sin x + 3 cos x on the interval [0,1] 3 Average value =

A: Solved below.

Q: Find the average value of f(x) = cos* x sin x on the interval [0, 8]. Answer:

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Q: Find the surface area of revolution of 7 cos(5θ ) between - π/10 and  π/10, about the x-axis using…

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Q: B. Evaluate the definite integral using the Simpson's rule, giving the answer correct to 3 decimal…

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Q: Find the average value of the function f(x) = 4 sin x on the given intervals. a) Average value on…

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Q: Find the si0pe of the given Function 1.) hlx) = sin x cos 3x at * = 3 メ 2.) y= In at メ = -2 メー! 3.)…

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Q: Find the average value of the function on the giveninterval.   g(x)  = Cos x,    [0,π/2]

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Q: Show that coshr+ sinh a = e and cosh r- sinhr = e. Hence, deduce UTMOU cosh r- sinh z = 1.

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Q: Given that S." sin xdx = 2, find the average value of the sine function on the interval [0, π].…

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Q: Find the average value of the function f(x) = 4 sin x on the given intervals. %3D a) Average value…

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Q: Estimate the error if S3 (Simpson's rule with n= 8) was used to calculate sin(2x) dx . a) O lerror|…

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Q: Find the average value of f(x) cos¹ sin x on the interval [0, 3]. = Answer: 3-cos(1)/5

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Q: Find the point at which f (x) =2 cos (x) equals its average value on the interval [0, 7] 3 Note:…

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Q: 3. Use the composite trapezoidal rule and Simpson's rule, each with 10 subintervals, to estimate sin…

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Q: Q1\ A) Find average value over the given interval [1, 3] : F(x) = Vx + 4 %3D

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Q: Prove the following (sinh x + cosh x)^= e%x cosh?x-sinh?x = 1

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Q: 3 115 Find the average value of the function f(x)=sin“ xcos°x over the interval -7,7|.

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Q: Find the average value of the following functionson the given interval. Draw a graph of the function…

A: Given function is fx=cosx. To find the average value of the function on interval -π2,π2. Solution:…

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 on the given interval 7T 5. COS on 0, 6. sin x on (0, 7)

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Q: 1. Let f(r) cosh(r) and a = 2. Let h 0.01 and approximate f'(a) using forward, backward and central…

A: We are approximate f'(a) ysing all three method i.e. forward difference, backward difference and…

Q: What is the average value of the function f(x) = sin²xcos³x on the interval [0,-]? %D

A: The given function f(x)=sin2xcos3x on the interval 0,π2

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: •4 Estimate the error if S6 (Simpson's rule with n= 6) was used to calculate sin(2 x) dx . a) O…

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Q: Find the deriva tive Of 6- sin (xy)+ e'

A: Note:- It is not mentioned in question for derivative find with respectvto what variable(x or y) so…

Q: Find the exact average value of the function f(x)=7 cos x on the interval -pi/2 ≤ x ≤ pi/2.

A: Given; f(x) = 7 cos(x)  Interval : [ -π/2 , π/2 ]

Q: Find the average value of: f(x) = 9 sin x + 8 cos a on the interval [0, 8π/6] Average value=

A: The average value of fx=9sinx+8cosx on the interval 0,8π6

Q: Given that ſ♫ sin xdx = 2, find the average value of the sine function on the interval [0, π]. Also,…

A: Please see the below picture for detailed solution .