Find (9x? - 8x + 2) dx. (9x² - 8x + 2) dx²

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A: A detailed solution is given below.

Q: Find the number(s) b such that the average value of f(x) = 6x2 42x + 70 %3D on the interval (0, 6 is…

A: Integration application

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A: We know that,

Q: dy without first solving for y. dx Use implicit differentiation to find - 28x4 + 10x2y + y* = 8 dy…

A: The given function,    -28x4+10x28y+y4=8

Q: Find the number(s) b such that the average value of f(x) = 6x? 42x + 70 on the interval (0, 6 is…

A: The average value of f(x) in the interval a,b is given by, 1(b-a)∫abf(x)dx

Q: 7. Let f(x) = -3x + 9x - 3. a. Determine the x values where f"(x) = 0. b. Fill in the table below to…

A: In this question we have to find first three subpart.

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Q: Sketch the region enclosed by 2y = 5/a, y = 4, and 2y + 2æ = 7. Decide whether to integrate with…

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Q: Find the number(s) b such that the average value of f(x): f(x) = 6x2 42x + 70 on the interval (0, 6…

A: To find the value b.

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A: Topic:- application of derivatives

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Q: Use implicit differentiation to find the slope of the tangent line to the curve = x° + 9 2y 10 at…

A: To find out the slope of the tangent at point  (1, 10/21).

Q: Find

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A: Solved below.

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A: Given:      limx→∞x1cosx

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A: Given query is to find the end behaviour of the function.

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Q: Use the chart below to find the average rate of change of the function f(x) over the interval given.…

A: Our Aim is to find the average rate of change of the function f(x) over the interval given.

Q: ) Find eigennwaly gse for -5- OA= L-4 to -구

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A: Question- A tire swing attached to a tree branch swings with an arc length of 40 feet on its first…

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A: Note: According to our answering guidelines we have to answer only one question if multiple…

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Q: Ift=2cos (y² + 2), find the derivative of t with respect to y. A. 8y sin(y² + 2) cos(y² + 2) B. –8y…

A: The given function,  t=2cos2y2+2

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Q: Use the tabular method to evaluate the integral |(x3 + 2x – 1) cos(4x)dx

A: To evaluate the following integral using tabular methodI = ∫x3+2x-1cos(4x)dx differentiable function…

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Q: Consider the line which passes through the point P(1, 3, -5), and which is parallel to the line æ =…

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