Find the integral.


d.

Mathematics

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Provide an appropriate response.A credit card charges 2% interest per month on the average daily unpaid balance of the account. What would be the finance charge for one month on a balance of $567.89?

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the problem.Find the centroid of the region bounded above by the sphere  and below by the plane  if the density is constant.

A.  = 0,  = 0,  = 
B.  = 0,  = 0,  = 
C.  = 0,  = 0,  = 15
D.  = 0,  = 0,  = 

Mathematics

As astronomer observes that at point A on the planet Mercury at a particular time the sun is directly in line with point A and the center of the planet. At the same time, the sun’s rays form an angle of 5 with the vertical at point B on the surface of the planet. She determines that point B is roughly 213 km south of point A. Using this data, what will she calculate Mercury’s diameter to be? (See sketch.)

Mathematics

Solve the inequality. Express your answer using interval notation.8 - 3(2 - x) ? -7

A. [-3, ?)

B. (-?, -3)

C. (-?, -2]

D. (-?, -3]

Mathematics