4. The region bounded by the curve y = x² + 1 and the line y = -x + 3 is revolved about the x-axis to generate a solid. Find the volume of the solid.

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A: Topic:- calculus

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A: The Solution is given below

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A: Topic:- application of derivatives

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A:

Q: average rates of change

A: The average rate of change  is constant for a linear function. Another way to state this is that the…

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Q: Find the general solution of the differential equation. y(5) — 11y(4) + 29y"″ − 11y" + 28y' = 0.…

A: Let's solve given diffrential equation.

Q: 1.3 domain: What is the domain of y = ln (x² - x - 6)? help (inequalities)

A: The function is  y=ln(x2-x-6)

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A:

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A: Explanation of the answer is as follows

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A: To check the +ve or -ve

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A: We can solve this as follows:

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A: Explanation of the answer is as follows

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A: We can solve the given problem by using the midpoint sum rule.

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Q: By definition, (f ∘ g)(x) =     . So if g(6) = 10 and f(10) = 21, then (f ∘ g)(6) =

A: Topic:- function

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A: Given function,fx, y = 5x -4y

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A: Explanation of the answer is as follows

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A: 5.Solution…

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A: The solution is given below

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A: Take z as constant

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Q: N Given the series an, let SN=an be its Nth partial sum. Suppose that n=1 n=1 SN=8- A) Find a3. 5 N²…

A: