Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder y =x and the planes z=4-y and z= 0. The volume of the wedge is (Type an exact answer.) square units units. cubic units.

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A: Follow the procedure given below.

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A: Given: 1 + 1 + 1 + 1 + 1 1 + 1 + 1 + 1 + 1 1 + 1 x 0 + 1 = ?

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A: Use the given information.

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A: Just try to simplify and that's easy.

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Q: One root of the equation 2x2 - x- 15 0 is C. 3 D. -3 A. B.

A: Given, The equation is  2x2-x-15 = 0  We have to find the one root of the equation from the given…

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A: Consider the given function:

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Q: dx (XS_8)5

A: The objective is to evaluate the integration.

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Q: -25 se Find S+16

A: Heaviside Unit Step Function: Heaviside unit step function is denoted by and defined by Second…

Q: Solve for x: 3* - 6(√3)* 27 = 0

A: We see     3x - 6(√3)x - 27          = (√3)2x - 6(√3)x - 27          = (√3)2x - 9(√3)x + 3(√3)x - 27…

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A: Let the 3 consecutive numbers be a, a+1,a+2 Their sum is a+a+1+a+2 Here 12 more than twice the…

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A: We have to prove both the sides

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Q: (15x - 8) 226

A: Given,

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