The average value of f(x, y) over the rectangle R = {(x,y)| a

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A: Integral Test : Suppose that f(x) is a continuous , positive and decreasing function on [k,∞) and…

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A: solution:-cos2θ=1-tan2θsec2θ RHS=1-tan2θsec2θ        =1-sinθcosθ21cosθ2,      ∴tanθ=sinθcosθ &…

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Q: DEFINITION

A: We will find the Laplaces Transform.

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A: A plane P1 in R3 is perpendicular to the vector n→=4,  5, 7, and contains the point 3, 3,  8.a To…

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Q: Show

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A: The solution is given in the next step.

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Q: 4. If f is a differentiable function of a and y with w f(x, y), x =r cos 0 and y = r sin 0, %3D show…

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Q: Find the limit of the following convergent sequence. a, = 3, an+1 = 8+ 2a, O A. 9 О В. 8 О с. 3 O D.…

A: Use the given first term and keep calculating the subsequent terms and then reach to a conclusion.

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A: We will check if the fundamental theorem of Calculus is applicable.

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A: According to our terms and conditions we are solving one one part. Please repost other parts again.…

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