Evaluate the iterated integral. ग π/2 л/2 Jπ/4 cos (2x + y) dy dx

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A: we have given integration

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A: The solution is shown in step-2

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A: We have to find the limit of the function:    when x approaches to infinity.

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A: For any function f(x) the equation of tangent line at  is where is the slope of the tangent line

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Q: Which of the following vectors represent a +b, if a and b are given as below? b a) Ob) d) a

A: The graph of the vectors  and  are given.We have to sketch the graph of the vector .

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Q: Solve the given initial-value problem. x²y" + xy + y = 0, y(1) = 1, y'(1) = 4 y(x) = cos (log(x)) +…

A: To solve the following initial value problem.By using graphing utility to graph the solution curve.

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A: We have to determine whether or not the vector field is conservative. If it is conservative, find a…

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Q: 2 Solve the following DE: (y +4x)y' = 2y = x

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Q: 1/x + 3y = sinx/x² 1-2ye* = 2e* √y

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

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A: we have given limit to find

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Q: Find the derivative of the function y = log |6 - x|

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A: We use the sum to product formulas to prove the given identity.

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Q: Evaluate the following double integral. J₁ 2² ²+1 ¹² - dA, D = {(x, y)|0 ≤ x ≤ 4,0 ≤ y ≤ √T}.

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A: The function is given by:-Since, the natural log is present in the function.Domain of the function…

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A: Using one of the formulas, we can solve the question

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Q: b) y = ex³+cos x

A: To find the derivative of the following function.

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Q: Reverse the order of integration for -2x+1 LS² h(x,y) dydx. Do not evaluate.

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Q: b. If Ax has a zero entry, then A has a row of zeros.

A: Given:- Ax has zero entry

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Q: 42 - z + ^ − z^ - IՒ 05 lim

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A: We have to find line using least square method and then graph it.

Q: 12. If y=x, then y' is.. (HINT: Use logarithmic differentiation.)

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Q: Graph the following features: • Slope = 4 Y-intercept = -1

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Q: Solve the differential equation y' + y = e sec² x using integrating factors.

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A: The given problem is solved below in detail.