Evaluate the given integral by using a transformation to cylindrical coordinates: f (x2+2)¹/2 dv, where T is the solid bounded by x² + y² = 6x, z =

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A: According to guideline I only solve the the first question. Please post other question as new post.

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A: Please see the attachment

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Q: 5. x' = 1 1 6 161 611 X

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Q: Answer the following questions for the function defined on the interval [-5, 7]. a.) f(x) is concave…

A: From the above details we have,

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Q: F(s) = (5 + 3 s+3e = (F(x بر 3² (3+2) 38 +4 F(s) = 2 + 6s + 13)

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Q: 5. Use spherical coordinates to evaluate LIVE √√= ²+ y² + 2² dz dy dr.

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A: The given LPP is as follows MInimize Z= 20x1+10x2+80x3x1+x2+x3≥62x1+4x2+x3=202x1+x2≤5x1,x2,x3≥0 Add…

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Q: Q2. Consider the function defined by f:P(N)→Z+ ƒ(A) = |A|+1 i. ii. iii. iv. Find the image of f Is f…

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Q: $ D Surface Aren So Sex & trift-gin 1-1/² D S= (6²-y²) =7 y b₂ SERS() JH (fa) dx 6² D 0 $10k Tave…

A: From the above details we have,

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Q: bounded by the parall tus rectum. bounded by the parall axis.

A: Given as, The parabola y2=8x  latus rectum (x=2)