@)X = y² + 1₁ x = 0, y = -1 y = 2 The appropriate integrand to find the volume of the solid generated by revolving the given region about y-axis is! and

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A: Prooof of the above properties of laplace is given by

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A: This question can be solved using the concept of component form of vectors.

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Q: A region bounded by f(x) = 3 − x, y = 0, and x = 0 is shown below. Find the volume of the solid…

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A: To find volume V of the body formed by revolving the given region .

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A: z= f(2x3y-y,y5) ,  u= 2x3y-y, w= y5   And zy= (2x3-1)fu+5y4fw  Find zyx

Q: A region bounded by f(y) = √√√, y = 1, y = 4, and x = 0 is shown below. Find the volume of the solid…

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Q: Find the average value of: f(x) = 8 sin x + 3 cos x on the interval [0,1] 3 Average value =

A: Solved below.

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A: Calculating determinant of a matrix is the key requirement for this problem.

Q: A region bounded by f(x) 8 7 6 Find the volume of the solid formed by revolving the region about the…

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Q: 12. Integral x² dx x³ +4

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Q: 6. Find the area of the region bounded by x = y³ − 4y² + 3y and the x = y² − y. 77 (a) A= square…

A: The region is bounded by the curve x=y3-4y2+3y and x=y2-y

Q: Find fæxyzz for f(x, y, z) = z³y² ln(x). [Show your solution.] Select one: O O O x² 6z²y x² 2z³y x²…

A: See this solution in below.