Solve the problem.A person at the top of a 600 foot tall building drops a yellow ball. The height of the yellow ball is given by the equation  where h is measured in feet and t is the number of seconds since the yellow ball was dropped. A second person, in the same building but on a lower floor that is  from the ground, drops a white ball  after the yellow ball was dropped. The height of the white ball is given by the equation 

src="https://sciemce.com/media/4/ppg__tttt0529191426__f1q128g4.jpg" alt="" style="vertical-align: -4.0px;" /> where h is measured in feet and t is the number of seconds since the yellow ball was dropped. Find the time that the balls are the same distance above the ground and find this distance.

A. 4.5 sec; 276 ft
B. 6 sec; 24 ft
C. 5 sec; 200 ft
D. 5.5 sec; 116 ft

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Answer: D

Mathematics

Find the extreme values of the function and where they occur.y = (x - 5)2/3

A. There are no definable extrema. B. The minimum value is 0 at x = -5. C. The minimum value is 0 at x = 5. D. The maximum value is 0 at x = -5.

Evaluate the integral.

A. - e^-2x + C
B. -7e^-4x(4e^2x + 1) + C
C. - e^-4x(28e^2x + 2) + C
D. - e^-2x(7e^2x - 2) + C

Solve the problem.Mark and Kate are establishing a fund for their son's college education. What lump sum must they deposit in an account that gives 6% annual interest rate, compounded monthly, in order for them to have $65,000 in the fund at the end of 10 years?

A. $38,046.13 B. $35,726.13 C. $40,302.13 D. $37,026.13

Solve the problem. Round to two decimal places if needed.An irrigation sprinkler in a field of lettuce sprays water over a distance of 30 feet as it rotates through an angle of 160°. What area of the field receives water?

A. 400 square feet B. 41.89 square feet C. 1256.64 square feet D. 2513.27 square feet