Solve the problem.Find the point on the curve x = 4 sin t, y = cos t, -  ? t ? , closest to the point . (Hint: Minimize the square of the distance as a function of t.)

A.  
B. (-4, 0)
C.
D. (4, 0)


Answer: A

Mathematics

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Solve the problem. Use a calculator with an LN or a LOG key.The population growth of an animal species is described by where t is the number of months since the species was introduced. Find the population of this species in an area 6 months after the species is introduced.

A. 240 B. 74 C. 470 D. 704

Mathematics

Determine the scalar c so that the vectors v and w are orthogonal or parallel as indicated.v = , w = ; orthogonal  

A. c = 4 B. c = -4 C. c = 3 D. c = -3

Mathematics

Simplify.

A. 14
B. 6
C. 22
D. 84

Mathematics

Mr. Jackson borrowed money from his bank and on his life insurance to start a business. His interest rate on the bank loan was 10%, and his rate on the insurance loan was 12%. If the total amount borrowed was $100,000 and his total yearly interest payment was $11,400, how much did he borrow from the bank? ?

A. He borrowed $70,000 from the bank. B. He borrowed $7,200 from the bank. C. He borrowed $41,400 from the bank. D. He borrowed $58600 from the bank. E. He borrowed $30,000 from the bank.

Mathematics