Write e(½) = 1.6487 . . . in logarithm form. A)

ln (1∕2) = 1.6487 . . .

B)

(1∕2) ln e = 1.6487 . . .

C)

1∕2 = ln 1.6487 . . . =

D)

1.6487 . . . × ln (1∕2) = e

Lindsay used two points, (x, y; ) and (+2.82), to find the equation of the line, y = mx + b, that passes through the points. y2-y, first, she used the definition of slope and determined that the value of mis x, - . given this information, which expression must represent the value of b?

Find the degree 3 taylor polynomial p3(x) of function f(x)=(-3x+15)^(3/2) at a=2

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.