Find a rectangular equation equivalent to the given pair of parametric equations.x = 5 tan t, y = 3 sec t; 0 ? t ? 2?
A. y = 3; -? < x < ?
B. y = x2 - 9; -3 ? x ? 3
C. +
= 1; -? < x < ?
D. -
= 1; -? < x < ?
Answer: D
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Perform the indicated operations.(6x + 6) + (6x + 9)
A. 12x + 15 B. 27x C. 12x2 + 15 D. 12x
Determine whether the given series converges or diverges, and find the sum if it converges.30 + 5 + +
+ . . .
A. Converges; sum = 37 B. Converges; sum = 35.5 C. Converges; sum = 40 D. Converges; sum = 36
Graph the solution set of the system of inequalities or indicate that the system has no solution.x2 + y2 ? 36-5x + 2y ? -10
A.
B.
C.
D.
Solve the problem.Jorge has a total of 66 coins, all of which are either dimes or nickels. If d of the coins are dimes, then the total value of the coins (in dollars) is given by the algebraic expression If the number of dimes is 37, determine the total value of the coins.
A. $4.65 B. $5.15 C. $6.05 D. $3.90