Let R be the region bounded by y=x, x= 1, and y = 0. Use the shell method to find the volume of the solid generated when R is revolved about the line x = 18.

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A: see below the answer and the explanation

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A: Given: 5,6,-3Orthogonal to the line xt=-2-t, y(t)=8-8t, zt=2+2t

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A: Here we have to use the midpoint rule

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A: Follow the procedure given below.

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A: NOTE: Refresh your page if you can't see any equations. .

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A: NOTE: Refresh your page if you can't see any equations. .

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A: We can find the derivative as below.

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Q: if f(x,y) = √x² + y + 4, then find a a21 and ах ду х

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Q: Find all solutions of the equation in the interval [0, 2π]. 2cos2xcosx-2sin2xsinx = 1 Write the…

A: Here, the given equation is: 2cos(2x) cos(x)-2sin(2x) sin(x)=1⇒cos(2x) cos(x)-sin(2x)…

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Q: Consider the graph of r(t) given below. -4- 2 |_y=r(t) 0 2 C) Find r' (2). [Select] 4 D) Find r'…

A: Given that graph of y=rtA.gt=sin3πrtg't=cos3πrt×3πr'tg'1=cos3πr1×3πr'1r'1=slope at…