Differentiate. y= 7x* + 2 O In(7)7** +2(4x³) O In(7)7^x+2(4x³) O In(7)7* + 2(4x³) 2 (4x³) O In (7)7**+2(4x²)

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A: Given that: Total number of child = 5Average money held by each child = $0.50

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A: Topic:- integration

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A: fx=x4-7x2+3x+9,   -2, 2

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A: We will use substitute method to solve this integral.

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Q: Find 8. -- 」く入.ビ dt

A: Simple integration

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A:

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A: We will use Lagranges multiplier to solve this question.

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A:

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A: ∫1e2x-452dx=∫1ex2-452dxSubstitute…

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A: Solution is given:

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A: Given: I=∫x+59-x-32dx    ....(1)   We know the trigonometric identities; (1). sin2x+cos2x=1 (2).…

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A: Consider the given integral function.

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A: Let the first number be x. Let the second number be y.   Given: x+4y=1000x=1000-4y   Determine the…

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A: Solving the problem by doing the integration.

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A: This question is based on indefinite integral. General form, Integral of xn  is x(n+1)/(n+1)  As for…

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A: To state the give statement is true or false.

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A: Initial population = 400  Final population = 400,000  Doubles in every 52 minutes

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A: Indefinite integration

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A: Formula:

Q: evaluate the integral of 10x/(4x2-8x+9)

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A: To integrate

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A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Max. Z=10 X, +15X2 S.T 6x1+4x2 <30000 2x1+4x2 2 20000

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A: The given integral is ∫124x2+2x-1x3+x2dx. Calculation: Rewrite the partial fraction of the integral…