Prove the identity.tan2x + cos 2x = 1 - cos 2x tan2x
What will be an ideal response?
tan2x + cos 2x = 
= 
= 1 - cos 2x tan2x.
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A market analyst working for a small-appliance manufacturer finds that if the firm produces and sells x blenders annually, the total profit (in dollars) is
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Graph the function P in an appropriate viewing rectangle and use the graph to answer the following questions.
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(a) When just a few blenders are manufactured, the firm loses money (profit is negative). (For example, 
, so the firm loses $283.30 if it produces and sells only 10 blenders.) Approximately how many blenders must the firm produce to break even? Round your answer to the nearest whole number.
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(b) Does profit increase indefinitely as more blenders are produced and sold?
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(c) If not, what is the largest possible profit the firm could have? Please round the answer to the nearest dollar.
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What will be an ideal response?
The following question(s) refer(s) to the capture-recapture method: n1 denotes the size of the tagged (captured) sample, n2 denotes the size of the second (recaptured) sample, and k denotes the number of tagged individuals in the second sample.If n1 = 135, n2 = 116, and k = 15, an estimate for the size of the population is
A. 861. B. 1044. C. 1012. D. 973. E. none of these
Rationalize the denominator. Assume all variables represent positive numbers.
A. 
B. 
C. 
D. 
Solve.A box is made from a rectangular piece of metal with length 21 inches and width 11 inches. The box has no top. 
Write an expression that gives the outside surface area of the box.
A. 462 - 64x B. 64x + 231 C. 231 - 4x2 D. 4x2 + 231