Find the length of the curve.The circle r = 9 cos ?
A. 81?
B. 9?
C. 18?
D. ?
Answer: B
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The graph of a function f is given. Use the graph to answer the question. Find the numbers, if any, at which f has a local maximum. What are the local maxima?
A. f has a local minimum at x = 5 and 3.9; the local minimum at 5 is -8; the local minimum at 3.9 is 2.2 B. f has a local minimum at x = -8 and 2.2; the local minimum at -8 is 5; the local minimum at 2.2 is 3.9 C. f has a local maximum at x = 5 and 3.9; the local maximum at 5 is -8; the local maximum at 3.9 is 2.2 D. f has a local maximum at x = -8 and 2.2; the local maximum at -8 is 5; the local maximum at 2.2 is 3.9
Find the exact value under the given conditions.sin ? = , 0 < ? <
; cos ? =
, 0 < ? <
Find cos (? + ?).
A. -
B. -
C.
D.
Solve the problem.Consider an economy with only two industries: A and B. Suppose industry B needs 15 cents worth of A's product for each 1 dollar of output B produces and that industry A needs 24 cents worth of B's product for each 1 dollar of output A produces. Consumer demand for A's product is 1300 dollars and for B's product is 750 dollars. Write an augmented matrix for this economy.
A.
B.
C.
D.
Factor completely. If unfactorable, indicate that the polynomial is prime.7x2 + 28x - 21x - 84
A. 7(x + 4)(x - 3) B. 7(x + 4)(x + 3) C. (7x + 28)( x - 3) D. (7x - 21)(x + 4)