Find the average value of the function over the given interval. F(x) = = 2₁ [4, 6]

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A: As per the rules we can answer only first question and rest can be reposted.

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A: Given query is to find the value of the integral.

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A: The weekly marginal cost of producing x pairs of tennis shoes is given by the following​ function,…

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A: Vector

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A: The given data is: fx=∫xx3t4dt  To find the value of f'x

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A: Solution is given below:

Q: (a) ах = Du DE = du, ada voa waye by oz + + + 2x DE 2. (x²= y² + x) x (2x+₁) + (-2xy-9)x (-2y) (2x +…

A: We have to simplify (x2 - y2 + x) × (2x + 1) + (-2xy - y) × (-2y)

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Q: xydx + (x^2+y^2)dy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)DX + N(x,y)dy…

A: Please see the below picture  detailed solution.

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Q: ) = 400(5 + 2

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A: For the solution of the problem follow the next step.

Q: Calculus

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A: Given, f′(x)=8x​,​ f(4​)=47.

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