Sketch the logarithmic function.f(x) = log3 x

A.

B.

C.

D.


Answer: A

Mathematics

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Find the limit of the sequence if it converges; otherwise indicate divergence.an = 8/n

A. 0 B. 1 C. ln 8 D. Diverges

Mathematics

Compute the values of f(x) and use them to determine the indicated limit.If f(x) = , find  f(x). 

A.
 ; limit = 1.210
B.
 ; limit = 5.10
C.
 ; limit = 4.0
D.
 ; limit = ?

Mathematics

Find T, N, and B for the given space curve.r(t) = (2 + t)i  + (6 + ln(sec t))j - 6k, -?/2 < t < ?/2

A. T = (cos t)i  - (sin t)j; N = (-sin t)i - (cos t)j ; B = -k B. T = (-cos t)i  - (sin t)j; N = (-cos t)i + (sin t)j ; B = k C. T = (-cos t)i  - (sin t)j; N = (sin t)i - (cos t)j ; B = -k D. T = (cos t)i  + (sin t)j; N = (- sin t)i + (cos t)j ; B = k

Mathematics

Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?

A. $180,000 B. $300,000 C. $270,000 D. $239,400

Mathematics