Figure Part A Izy 1m Value 1m Determine the product of inertia of the area with respect to the x and y axes. Express your answer to three significant figures and include the appropriate units. Units -y=x² ? -X

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A: Double integral is used to integrate the function of two variables over two-dimensional region.…

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A: Given,

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Q: 7) Find the area of the region enclosed by the cardioid r² = 4 cos 20.

A: To find the area of the region enclosed by the cardioid r2=4 cos 2θ.

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A: The graph is  Intersection point 3cos θ=3sin θcos θ=sinθθ=π4R1={(r,θ)|0≤θ≤π4,0≤r≤3sin…

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Q: Find the exact area

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A: Since you have posted multiple questions  so as per guidelines we will solve the first question for…

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A: Solution of given question is followed by

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A: Given that , y=4-x1+x2 on -3,3 Calculate the area of the shaded rectangles using approximation.

Q: 3. Find the area of one of the sine curve.

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Q: Differenciate and simplify where possible

A: Introduction: Mathematicians use a procedure called differentiation to determine a function's…