find the number(s) a such that the average value of the function f(x)=25-20x+3x^2 on the interval [0,a] is equal to 4

Q: integrate the function f over the given region. f(x, y) = 1/lnx  over the region bounded by the…

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Q: reverses the order of integration

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Q: Find the average value of the function on the given interval. f(x)=x²-7: [0, 1] Set up the integral…

A: Average value of a function f(x) on [a,b] is given by, V=1b-a∫abf(x)dx

Q: How can we find the average value of a Nonnegative Continuous Function?

A: How can we find the average value of a Nonnegative Continuous Function?

Q: Find the mean value of the function y 2sin x on the interval |0, %D

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Q: How can we find the average value of a Continuous Function?

A: The average of continuos function is obtained by getting the area between the interval point and…

Q: stimate the area under the curve  -(x)2+

A: Here we have to find the area under the curve -x2+1 with an interval of 0,14.

Q: Find the average value off(x) = (5−2x)^−2 on the interval [−1,2]

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Q: Estimate the area under the graph of f(x) = 4 over the interval [2, 5] using five approxima %3D…

A: Given: f(x)=4x

Q: Find the average value of f(x) = 8√√x-73x over the interval [0, 2]. Submit an exact answer using…

A: The function f(x)=8x-7x3 over the interval 0,2

Q: Describe the General Power Rule for Integration in your own words

A: The general power rule for integration is: So this means we add 1 with the exponent to get a new…

Q: What is the average value of f(x)=−5x−4 over the interval [−5,4]? (Enter your answer as an exact…

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Q: What is the average value of the f(x) = 2x + sgn(x – 5) + |- function in the range [1,4] ?

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Q: Describe the Mean Value Theorem for Integrals in your own words?

A: The mean value theorem for integrals declares that somewhere between the circumscribed and inscribed…

Q: The sum that best approximates the area under the curve between the function and x-axis on the…

A: our objective is to find the best approximation

Q: Find the average value of the function on the indicated interval: 2. f(x) = 3xVx² – 16; x € [4,5] -

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Q: 6. Find the average value of f(x) = /100– 25x² over the interval [-2,2]

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Q: What is the total area between f(x)=2x−7 and the x-axis over the interval [0,5]?

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Q: What is the average value of sin(x) as x varies continuously over the interval [0, r]?

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Q: Estimate the area under the graph of f(x) over the interval [- 2, 2] using five approximating a +4…

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Q: graph the function and find its average value overthe given interval. ƒ(x) = x2 - 1 on [0, √3]

A: Given, The function f(x) = x2 -1 on closed interval [0,3 ]

Q: 2. Find the average value of the function x2 In(x) for 1 5x<3 Show your work in evaluating any…

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Q: Find the average value of the function f (x) = 1 on the interval [0, 2]. Leave your x+1 answer in…

A: Use the formula for the average value of a function.

Q: Find the average value of ƒ(x) = sqrt(x + 1)/ sqrt(x) on the interval [1, 3]

A: Given a function

Q: Use the table to calculate the average rage of change over the interval 5 ≤x≤ 30, rounded to 3…

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Q: What is the average value of the function (arctan x)^2/1+x^2 over [1,square root 3]?

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Q: Find the average value of the functions on the specified interval. 3. f(x) = 3x2 -7 on [-2, 5] 4.…

A: This question is related to functions, we will integeration to find the average value of functions.

Q: Find the rate at which the total average number of COVID cases is increasing at x=10 tents and…

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Q: Use the Fundamental Theorem to find the average value of f(x) = x² + 1 on the interval æ = 0 to x =…

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Q: Find the total differential. z = 10x8y6 dz =

A: GIVEN: z = 10x8y6

Q: Find the average value of the function f(x)=2x2 on the interval 3≤x≤6

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Q: Find the average value of f(x) = √√√x + 6x over the interval [0, 2]. Submit an exact answer using…

A:

Q: Find the number(s) b such that the average value of f(x) = 6x² – 62x + 132 - on the interval 0, 6 is…

A: Given   fx=6x2-62x+132   ,    favg=15      We have to find b value for interval [0,b]

Q: Estimate the area under the graph of f(x)=x+4 over the interval [-4,4] using eight approximating…

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Q: Estimate the area under the graph of f(x) = over the interval [– 3, 0] using four x + 4…

A: The function is given as, fx=1x+4 It is also given that, Number of rectangles, n=4Upper limit,…

Q: What is the average value of the function f(x) = 3x^2 in the interval [1,4] ?

A: Formula:               Avg value of a function f(x) in interval a,b=1b-a∫abf(x)dx

Q: Which of f (x) = x sin2 x and g(x) = x2 sin2 x has a larger average value over [0, 1]? Over [1, 2]?

A:

Q: The indefinite integral is often called the O antiderivative. constant of integration. derivative. O…

A: Please check step 2 for the solution.!

Q: f(x) = /2x; from 2 to 8

A:

Q: Find the average value of f(x) = x² /57 + x³ on the interval [0,4]. favg = Report answers accurate…

A: Find the average of the function  f(x)= x2√(x3+57) on interval [0,4]

Q: Estimate the area under the graph of f(x)=1/(x+3) Over the interval (-2,1) using 8 approximating…

A: Given question:- Estimate the area under the graph of f(x)=1/(x+3) Over the interval (-2,1) using 8…

Q: integral of:

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Q: Find the average value of the function fover the interval [-3, 9]. Flx) = 9 - x2

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Q: Consider the function f(x)=4-sin(2x) on [0,2T1]. Find the linearization (equation of tangent line)…

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Q: Estimate the area under the curve given by the function f(x)= ^3√x on the interval [1, 8] using 6…

A: The solution are next step

Q: Approximate the average rate of change of the function f(x)= | Int dt over 1/2 the interval [1,3] is

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Q: Find the average value of the function on the giveninterval.   f(x)   = Sin4x  , [-π ,π]

A: Given- fx=sin4x To find-  The average value of the function on the interval -π,π. Concept Used- The…

Q: Find the average value of f(x) = 4-x2 on the interval [2,3] Find the area enclosed by f(x) = -x2+4x…

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Q: graph the function and find its average value overthe given interval. ƒ(x) = -3x2 - 1 on [0, 1]

A: The average value over the given interval [a,b] of function ƒ(x) is given by A=1b-a∫abfxdx   ....(i)…

Q: graph the function and find its average value overthe given interval. ƒ(x) = -x2/2 on [0, 3]

A: Given:         f(x) = -x22 on 0, 3   To graph the function f(x)    To find the average value of…