(d) r2 + x? = 9 in cylindrical coordinates (e) pcos(o) = 1 in spherical coordinates %3D

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A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

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A: To convert: The equation into rectangular form. Formula used: Convert rectangular into cylindrical.

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A: As per the guidelines I can solve only first question. I request you to kindly repost second…

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A: We have to find the cylindrical equation for the given equation

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A: Here we will evaluate the required value.

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A: The graph for part (a) is

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A: This question is related to coordinate system. We will solve it using given information.

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A: Since you have asked multiple questions in single request  so we  will be answering only first…

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A: Diagram C : θ=3π4 Diagram B: r2=4-z2

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Q: Verify that dV = p² sin y dp de dp when using spherical coordinates. %3D

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

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A: Let's find.

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A: The cylindrical equation z=r2

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Q: 它们也称 Use spherical coordinate to evaluate Vr² + y² + z² dz dy dx. 0,

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Q: Q3/|A:- Verify that dV = p² sin o dp do dp when using spherical coordinates. %3D

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