Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. y 0 4 5 16 7 8 9 10 11 -4 -3 12 -1 3 -1 -2 -3 -4- +12 x

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A: Here, ∫R∫yx2+y2dA is evaluated where R: trapezoid bounded by y=x, y=8x, x=1, x=8 which is:

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A: Take integration

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Q: 2. Given the matrix A below, Solve for IAI-¹ A = 23 46 24 135 -1 2 2-3 4874

A: Given the matrix A below, A=123424681357-12-34to solve for A-1.

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A: The given problem is solved below in detail.

Q: L=

A: Follow the procedure given below.

Q: Evaluate fi fi fi (xy+z)dxdydz Note: input your answer in two decimal places (example: 1.05, 2.53,…

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Q: 3. Solve the linear system below using Cramer's Rule. a+b+c+d=13 2a + 3b c = -1 -3a + 4b + 2c + d =…

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A: Recall: Area of the parallelogram form by two vector a and b is a×b

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A: Given the query is to find the correct option of integral.

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Q: a₁ = 5 9₁2=35 Find the common difference using arithmetic sequence.

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Q: 37-38 Evaluate the integrals by completing the square and ap- plying appropriate formulas from…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 8. For the enclosed regions bounded by y = x² - 6x and y = -2x in the graph, what is the integral…

A: Given   From the graph intersection point

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Q: أ 12, x > 1 (b) ) 5 f(x) dx

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Q: Evaluate the iterated integral. 6 [[° (x + y) dy dx

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Q: approximate with accuracy 10^3 to the solution of x³+x-4 = 0, lying in the interval [1,4].

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Q: 3 Find f such that f'(x) = - √x f(x) = f(1) = 12.

A: Solve for the f(x)

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A:

Q: 1. Given the following matrices: 12 3 41 4 2 4 6 8 A = B = 85 1 3 5 7 4 4 2 a. [(AC)BT] - DT…

A: Given the following matrices:A=123424681357-12-34, B=479853442, C=112335-23-4-1-11,…

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Q: x²-3x - 7 2 (x² + x + 2)(2x - 1) dx

A: Simplifying the given integrand: x2-3x-7(x2+x+2)(2x-1)=x2-3x-72(x2+x+2)x-12

Q: Evaluate the following: 1) f sin x sin(cos x) dx

A: Integration