Consider the solid bounded below by the xy-plane, on the sides by the sphere p=5, and above by the cone = a. Find the spherical coordinate limits for the integral that calculates the volume of the given solid. b. Evaluate the integral.

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A: The given figure is:   Radius r=15 cm Let the dimeter is d  ∴d=2r=215=30cm

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A: Given velocity function v( t ) = t2 - 2t - 3

Q: Suppose that f(x) = 3x√/2x² + 1

A: Given, f(x)= 3x2x2+1 Using chain rule , we will find derivative of f(x) Therefore, f'(x)= 32x2+1+…

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A: Please see the below picture for detailed solution.

Q: g'(x) = - g'(x) = g(x) = -4x³ + 14x² + 2x - 63 3

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Q: 4. Find y if ((2x+7)dx x +4x+8 I = -1 tan y + C In|x² + 4x + 8 + 1⁄2 ta

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Q: Consider the following. h(x) = ex²_ Find h '(x). h'(x) = 2xe+² Solve h'(x) = 0 for x. X = h(0) =…

A: The given function is: hx=ex2-9 Use the Chain rule: fgx'=f'gx·g'x And Power law: ddxxn=nxn-1

Q: 2. Let y = 3x23 a) Find the change in y, Ay when x = 5 and Ax = 0.02. b) Find the differential dy…

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A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: The wind-chill index is modeled by the function W = 13.12 +0.6215T-11.370.16 +0.39657v0.16 where T…

A: Ans= 1.32 degree Celsius and.  -0.38 degree Celsius  For detail...go through the solution

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Q: Let f(x) = 4x² + 10x - 2. Using the definition of derivative, f'(x) =lim h→0 enter the expression…

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Q: If C(t)= 18.5te -0.3t measures the concentration, in of a drug in ng ml' a person's system t hours…

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Q: If   C(t)=50te−0.4t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

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Q: y' = = x/n(x)

A: We can find the derivative of the given function by using logarithmic differentiation.

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