Find the numbers b such that the average value of f(x) = 2 + 10x - 9x2 on the interval [0, b] is equal to 3. b = (smaller value) b = (larger value)

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Q: Find all numbers b such that the average value of f(x) = 7+ 8x - 6x2 on the interval [0, b] is equal…

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Q: Consider the region bounded above by f(x)=−x2+9x+7 and below by g(x)=8x+5. Find the area, in square…

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Q: . Find the average value of the function over the interval [-3, 5] f(x) =x³ -x? -4

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

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

A: The graph f(x) = 3x2 – 3 on [0, 1]. We have to graph the function and also find the average value…

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: Use forward, backward and centered difference approximations to estimate the percentage error for…

A: This question is related to numerical methods. we will solve it using given information.

Q: Find the average value of f(x) = 9-x2 on [-3,3].

A: Given :   f(x) = 9 - x2 on -3, 3   To find :             The average value of f(x) = 9 - x2 on -3, 3…

Q: Let f(x)=x sq root x+7 Find the average slope of the function f on the interval [-7,0]. Average…

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Q: Consider the function f(x)=x²+x between x=1 and x=3. Approximate the average value of this function…

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Q: b. Approximate the area bounded by f(x)=x² - 2x+6 on the x-interval [0,3] usingn = 3 rectangles and…

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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: Use the Linear Approximation to estimate Af = f(4.8) – f(5) for f(x) = x – 5x². (Use decimal…

A: Given data:   The given expression for the function is f(x)=x-5x2. The given value a=5.   The…

Q: Determine the average value of f(x) = 6 ln(3x +3) over the interval 1 < x < 3

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Q: Find the average rate of change of the function over the given intervals.   ​f(x)=6x3+6​;      a​)…

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Q: 95. Prove that the average rate of change of the linear function f(x) = −2x + 4 on any interval I is…

A: The average rate of change of a function f(x) over an interval [a,b] is given by f(b)-f(a)b-a. It is…

Q: Calculate the area in square units, bounded above by g(x)=4x+10 and below by f(x)=x2+6x−14 over the…

A: The given function g(x) and f(x) are line and a parabola over the interval [-6, 4].Since the line…

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Q: The average value of f(x) 5x° on the interval 3 < x < 7 is:

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Q: Find the number(s) b such that the average value of f(x) = 6x² – 42x + 39 - on the interval [0, b]…

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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 average value of f(x) = 1 / (4x2 − 1) from x = 1 to x = 4.

A: We have to find the average rate of change of function fx=14x2-1from x=1 to x=4 Average rate of…

Q: Find the total area between f(x)=3x2-3 and the x-axis on the interval [-2,2]

A: Calculation:The given curve are f(x) = 3x2 – 3 and the x axis y = 0 on the interval [– 2, 2].The…

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 a function of f(x)= 3x3 +2x-1 on the interval [-1,2].

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Q: 3.3 Find the average value f(x) of f(x) = 2x² + 3x + 3 in the interval [1,4].

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Q: Find the average value of f(x) = 9-x2 on [ -3,3].

A: Average value of a function f(x) on [a, b] is, f=1b-a∫abfxdx

Q: The average value of the function f(x) =2x + 6 on the interval [2, 5] is Select one: O True O False…

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Q: Find the average rate of change of the function on the interval specified for real number h. p(x) =…

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

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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: Find the area of the region bounded by f(x)=X^2-4X +3 the X axis in the lines X=2 and x=6

A: We will find out the area of the region.

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

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Q: Find the average value of the function f(x)= 2x^3-3x^2+4x-1  on the interval [-1,1]

A: Given, f(x) = 2x3 -3x2 + 4x -1       [-1, 1] The average value of a function is defined as…

Q: Find the average value of the function f(x) = 7x2 on the interval [-1, 1]. fave

A: The given function is  f(x) = 7x2  on the interval [-1, 1]

Q: On the interval [0, 6], function f has an average value of 20, but for the interval [0, 10] its…

A: Please post next question seperately. Solved the first one according to the guidelines.

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 9 -x, and the line perpendicular…

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Q: Consider the function f(x)=x2 +x between x=1 and x=3. Approximate the average value of this function…

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

A: Given,            The function is fx=3x2 and the interval is 2≤x≤6.To find : The average value of…

Q: Find the numbers b such that the average value of f(x) = 6 + 10x - 6x2 on the interval [0,b] is…

A: Compute the average value of f (x) = 6+10x-6x^2 on the interval [0,b] equal to 7 as follows.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.