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Mark the correct statement about the series ∑n=1∞(−1)nn+1n!{“version”:”1.1″,”math”:”\sum_{n=1}^\infty (-1)^n \dfrac{n+1}{n!}”}

Solve 32x−1=2x+1{“version”:”1.1″,”math”:” 3^{2x-1}=2^{x+1} “}

Calculate log2⁡0.5{“version”:”1.1″,”math”:”\log_2{0.5}”}

Sketch the graph of the function and find its range f(x)=5+3−x{“version”:”1.1″,”math”:”f(x)=5+3^{-x}”}

Let f(x)=x{“version”:”1.1″,”math”:”\(f(x)=\sqrt{x}\)”}. Write the functions resulting from the following transformations.(a) f1(x)={“version”:”1.1″,”math”:”\(f_1(x)=\)”} shift the graph of f(x){“version”:”1.1″,”math”:”\(f(x)\)”} two units to the left.(b) f2(x)={“version”:”1.1″,”math”:”\(f_2(x)=\)”} reflect the graph of f1(x){“version”:”1.1″,”math”:”\(f_1(x)\)”} about the x-axis.(c) f3(x)={“version”:”1.1″,”math”:”\(f_3(x)=\)”} shift the graph of f2(x){“version”:”1.1″,”math”:”\(f_2(x)\)”} three units down and then reflect about the y-axis.  

How long will it take to double your deposit if the bank pays an interest rate of 2% compounded continuously?

Find the balance in your account after 5 years if you deposited $10,000 if the bank pays an interest of 1% compounded monthly.

Professor Bart gave a quiz to his college algebra class. One problem worth 10 points had a typo, so nobody could solve the problem. The professor adjust the grades for the class by first increasing everyone’s score by 10% and then giving everyone 5 bonus points. Let x represent the original score of a student and (f∘g)(x){“version”:”1.1″,”math”:”\((f\circ g)(x)\)”} represent the adjusted final score. Find f(x) and g(x).

In looking at the speciesarea plot in the accompanying figure, what can be concluded?

The Latitudinal Gradient describes where we expect to find high and low species diversity on a global scale. Describe this pattern of global biodiversity.