Chapter 4: Problem 89
Evaluate or simplify each expression without using a calculator. $$\ln e^{6}$$
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Chapter 4: Problem 89
Evaluate or simplify each expression without using a calculator. $$\ln e^{6}$$
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Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. If 4000 dollar is deposited into an account paying 3% interest compounded annually and at the same time 2000 dollar is deposited into an account paying 5% interest compounded annually, after how long will the two accounts have the same balance? Round to the nearest year.
In many states, a \(17 \%\) risk of a car accident with a blood alcohol concentration of 0.08 is the lowest level for charging a motorist with driving under the influence. Do you agree with the \(17 \%\) risk as a cutoff percentage, or do you feel that the percentage should be lower or higher? Explain your answer. What blood alcohol concentration corresponds to what you believe is an appropriate percentage?
In Exercises \(53-56,\) rewrite the equation in terms of base \(e\). Express the answer in terms of a natural logarithm and then round to three decimal places. $$ y=4.5(0.6)^{x} $$
Graph each of the following functions in the same viewing rectangle and then place the functions in order from the one that increases most slowly to the one that increases most rapidly. \(y=x, y=\sqrt{x}, y=e^{x}, y=\ln x, y=x^{x}, y=x^{2}\)
Graph \(f\) and \(g\) in the same viewing rectangle. Then describe the relationship of the graph of g to the graph of \(f\). $$f(x)=\log x, g(x)=\log (x-2)+1$$
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