(5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by the planes z = y and z = 0. Use cylindrical coordinates to evaluate

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A: We have to draw the graph and average value.

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A: Given that, the mass weighing =16 pounds Now, changing the unit of the mass: m=1632=0.5 slug

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A: Student has specifically asked for the solution to the Question (5). Hence answer to that problem is…

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A: A detailed solution is given below

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A: Solving

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A: I have appended the formula used in the solution part.

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A: The given series,          ∑n=1∞n cosnπ2n

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Q: 1- 2. 12 3 10 O 니 %3D 3.

A: In this question , we can find the value of the variable of 'a' and 'c' . Multiply the left hand…

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A: Given  :

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A: On solving this we will get

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A: Cylindrical coordinates :       x = r cosθ , y = r sin(θ) , z=z where,    x2+y2 = r2   and θ =…

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A: ddtr1(t).r2(t)=r2(t)dr1(t)dt+r1(t)dr2(t)dt ddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

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A: Solving the problem by finding the missing values of the triangle.

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Q: 5) Evaluate ehe integral (use c fos Ane constant of integration. tan'cx)cos x) dx

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