First, rewrite each equation in exponential form. Then, use a table of coordinates and the exponential form to graph the logarithmic function. Begin by selecting -2, -1, 0, 1 and 2 for y. Finally, based on your graph, describe the shape of a scatter plot that can be modeled by f(x) = log b x, 0 < b < 1.y = log1/9 x
A.
increasing
B.
increasing,
although rate of increase is slowing down
C.
decreasing,
although rate of decrease is slowing down
D.
decreasing,
although rate of decrease is slowing down
Answer: C
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Find the derivative of the function at the point p in the direction of a.f(x, y) = 4x2 - xy + 5y2, p = (-3, -5), a = i - 2j
A. 25
B.
C. 15
D. 1
Solve the problem.Suppose you invest $P on a CD paying 4.15% interest compounded continuously for a term of 250 days. At the end of the term you get $8230.66 from the bank. Find the value of the original principal P. Round your answer to the nearest dollar.
A. $7995 B. $8000 C. $8065 D. $8025 E. $7975
Write the negation of the statement. Remember that the negation of p ? q is p ? ~q.If c - 4 ? 3, then c ? 7.
A. c - 4 > 3 and c > 7. B. c - 4 ? 3 so c > 7. C. c - 4 ? 3 and c > 7. D. c - 4 ? 3 and c ? 7.
?Determine the principal P that must be invested at interest rate r compounded continuously, so that $1,000,000 will be available for retirement in years ,
. Round your answer to the nearest cent.
?
A. ?$49787.07 B. ?$50787.07 C. ?$49000.04 D. ?$40000.06