Complete the identity.cos (? + ?) cos (? - ?) = ?

A. 2 - sin2? - sin2?
B. cos2? - 2 sin2? sin2?
C. cos (?2) cos (?2) + sin (?2) sin (?2)
D. cos2? - sin2?


Answer: D

Mathematics

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Solve the problem.Find the mass of the lamina in the first quadrant bounded by the coordinate axes and the curve  if .

A.
B.
C.
D.

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Use the Consumer Price Index below to answer the question.Between 1990 and 2000, a college raised its annual tuition fees from $4490 to $6650. Find the relative change in the fees over that period and compare it to the overall rate of inflation as measured by the CPI. Were the tuition increases in line with inflation? If necessary, round values to the nearest tenth.

What will be an ideal response?

Mathematics

Find T, N, and B for the given space curve.r(t) = (1 + t)3/2i   + (1 - t)3/2j  + tk 

A. T = i + j + k; N = i  + jB = i + j + k
B. T = i - j + k; N = i + j ; B = - i + j + k
C. T = i - j + k; N = i + jB = - i + j + k
D. T = i  - j + k; N = i + jB = - i + j + k

Mathematics

Solve the problem that involves probabilities with independent events.If you are dealt two cards successively (with replacement of the first) from a standard 52-card deck, find the probability of getting a face card on the first card and an ace on the second.

A.  
B.  
C.  
D.

Mathematics