Solve the problem.Let D be the smaller cap cut from a solid ball of radius 8 units by a plane 4 units from the center of the sphere. Set up the triple integral for the volume of D in rectangular coordinates.

A.
B.
C.
D.


Answer: C

Mathematics

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Find y".y = 3 cot 

A. -  csc2 
B.  csc2  cot 
C. -6 csc 
D. 6 csc2  cot 

Mathematics

Find the perimeter of the shape made up of rectangles and squares.All segments are of equal length

A. 232 cm B. 29 cm C. 116 cm  D. 348 cm

Mathematics

Simplify using the order of operations.- + 40 ÷ (7 - (-3)) - 43

A. -125
B. -89
C.
D. -31

Mathematics

Write an equation using the variable x to represent any unknown quantity. Do not solve the equation.A weatherman reports that since 6:00 am this morning the temperature has dropped by  to the current temperature of   Write an equation for which the solution is the temperature at 6:00 am.

A. x + 12 = 40 B. x - 12 = 40 C. x + 40 = 12 D. x - 40 = 12

Mathematics