Provide an appropriate response.Rationalize the denominator:   

What will be an ideal response?


 

Mathematics

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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.

Mathematics

Find the average velocity of the function over the given interval.  y = -3x2 - x, [5, 6]

A. - 
B. -2
C.
D. -34

Mathematics

Find the equation of the line that has the given slope and passes through the given point.m = , (0, 3)

A. y = x + 3
B. y = x + 3
C. y = x - 3
D. y = - x - 3

Mathematics

Solve the problem.Suppose you would like to cross a 219-foot wide river in a boat. Assume that the boat can travel 38 mph relative to the water and that the current is flowing west at the rate of 7 mph. What bearing should be chosen so that the boat will land at a point exactly across from its starting point? Give your answer to the nearest tenth of a degree.

A. 10.6° B. 7.1° C. 79.4° D. 8.5°

Mathematics