Solve the problem.Find the length of the curve y = ln(sin x), ?/3 ? x ? ?/2

A. 1 - ln()
B. ln()
C. ln(2)
D. ln( + 1)


Answer: B

Mathematics

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Solve.The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke0.04t where k is a constant and t is the time in years. If the current population is 16,000, in how many years is the population expected to be 40,000? (Round to the nearest year.)

A. 10 yr B. 23 yr C. 128 yr D. 13 yr

Mathematics

Use the change of base formula and a calculator to approximate the logarithmic expression. Round your answer to four decimal places.log325

A. 0.3476 B. 1.1093 C. 3.2261 D. 2.9299

Mathematics

Solve.A multiple birth is any birth with 2 or more children born. The birth rate is the number of births per 1000 women. In one country, the birth rate B of multiple births as a function of age a is given by the function  for  What is the multiple birth rate of women who are 30 years of age according to the model?

A. 39.06 B. 67.14 C. 53.1 D. 28.25

Mathematics

The equation is in the form y = mx + b. Identify m and b.y = x - 6

A. m = 1; b = -6 B. m = 0; b = 6 C. m = -6; b = -1 D. m = -6; b = 1

Mathematics