The eccentricity is given of a conic section with one focus at the origin, along with the directrix corresponding to that focus. Find a polar equation for the conic section. e = , y = -8

A. r = 
B. r = 
C. r = 
D. r = 


Answer: B

Mathematics

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Solve the problem.A rectangular swimming pool is being constructed, 18 feet long and 100 feet wide. The depth of the pool is measured at 3-foot intervals across the width of the pool. Estimate the volume of water in the pool using the Trapezoidal Rule.

A. 14,400 ft3 B. 8200 ft3 C. 10,900 ft3 D. 12,300 ft3

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Find the differential of the function.y = 6x3 + 7x - 4

A. (25) dx B. (18x2 + 7) dx C. 36 D. 3(6x2 + 7) dx

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Solve the problem.The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and has a pH of 7. The pH of a solution is given by  where x represents the concentration of the hydrogen ions in the solution in moles per liter. Find the pH if the hydrogen ion concentration is 

A. -3 B. 3 C. -11 D. 11

Mathematics

Find two square roots for the complex number. Write your answer in standard form. ? ?

A.
B.
C.
D.
E.

Mathematics