Is the following statement true or false? Please explain and justify your reasoning. If f takes on both positive and negative values, then the Riemann sum is the sum of the areas of rectangles that lie above the x-axis and the negatives of the areas of the rectangles that lie below the x-axis. Please include an example and use clear writing

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A: We will solve.

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A: Given that the ellipsoid x2 + y2 + 4z2 = 12. We find the general equation of the tangent plane to…

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A: Topic:- trigonometry ratios in triangle

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A: We will solve the required.

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A: Topic = Determinant

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A: I am attaching image so that you understand each and every step.

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A: The objective is to solve the above question.

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A: The region is bounded by the curves fy=y+1, y=1, y=4 and x=1 we have to find the volume of the solid…

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A: Given y=tanx y=-tanx and x=π3

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A:

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A: Let's draw the graph of trigonometric function.

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A: I am attaching image so that you understand each and every step.

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A: Follow the procedure given below.

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A: We will solve  the integration.

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A: I have stated the used formulas in the solution

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A: Solve the following

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A: I have stated the used formulas in the solution

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A: Here we have to find the limit in step 4.

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A: topic:- vector algebra