Provide an appropriate response.Give a geometric interpretation of the triple integral Describe the three-dimensional region associated with this integral in detail.

What will be an ideal response?


This integral represents the volume of a wedge cut from a sphere of radius 1 by two half-planes whose edges meet at a 45° angle along a diameter of the sphere. The region resembles a section of an orange and is  of the entire sphere.

Mathematics

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Use implicit differentiation to find dy/dx and d2y/dx2.x2 + y2 = 5, at the point (2, 1)

A.  = - 2;  = -5
B.  = - 2;  = 1
C.  = 2;  = 5
D.  = -  = 0

Mathematics

Solve for the variable.x - x - 5 = 1

A. x = 24 B. x = -36 C. x = -24 D. x = 36

Mathematics

Simplify the expression, if possible.-

A. -6 B. 12 C. Not an integer D. 6

Mathematics

Graph the function.f(x) = x3

A.

B.

C.

D.

Mathematics