Find a particular solution of the differential equation .
?

A. ?sinx + cos
B. ??sinx + cos
C. ??sinx + cos
D. ??sinx + cos
E. ??sinx + cos


Answer: A

Mathematics

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Solve the problem.According to a country's census, the population (to the nearest million) was 264 in Year 0 and 288 in Year 10. The projected population for Year 50 is 434. To construct a logistic model, both the growth and carrying capacity must be estimated. (a) Estimate r by assuming that t = 0 corresponds to Year 0 and that the population between Year 0 and Year 10 is exponential; that is, the population is given by  Round the value of r to four decimal places, if necessary.(b) Write the solution to the logistic equation using the estimated value of r and use the projected value P(50) = 434 million to find an estimation for the value of the carrying capacity K. Round to

the nearest million. A. (a) r = -1.0087 (b) K = 254 million B. (a) r = 0.0087 (b) K = -2390 million C. (a) r = 1.0087 (b) K = -2290 million D. (a) r = -0.0087 (b) K = 154 million

Mathematics

Graph the equation.y = - x + 4

A.

B.

C.

D.

Mathematics

Solve the absolute value equation.|x| = 3

A. {3, -3} B. {9} C. {3} D. {-3}

Mathematics

Simplify the factorial expression.

A. 8 B. 0! C. 28 D. 1

Mathematics