Let A.3 be 5x5 matrices such that det (A) = 7 and det(A)=-3. Find the following (1) det(2(A^B)') (11) det (adj(3))

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A: To find the value of given indefinite integral.

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A: Let's solve given integration.

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A: Find the specific function values f(x, y) = x^2 + xy^3 a)f(2, 3) b)f(−3, −2)

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A: This question is based on application of derivative.

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A: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

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A: Follow the procedure given below.

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A: We can find the answer in the following steps.

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A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

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A: Let's solve.

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A: Topic = Derivative

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A: We can solve the given problem by using the concept of derivatives.

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A: This question is based on application of diffrential equation.

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A: We have to find the profit.

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A: We have to find whether the series is convergent or  divergent by root test.

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A: To find out the solution of the differential equation.

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A: Here is the step by step solution of ques 4.

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A: The given series,      ∑n=1∞13n-7

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A: In this question we have to find the projection of the point on the yz-plane.

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A: Topic:- indefinite integration