Test Section10FunctionNotationTest

Evaluate mentally (without using a calculator): $2e^x$ at $x=\ln(3)$.

(Enter your answer as a number without any functions like sine, ln, etc.)

Find the following value: if $r+3=q(s-4)$, find $s$ for $r=1$, $q=2$.

(Enter your answer as a number without any functions like sine, ln, etc.)

Let $f(x)=\sqrt{x^2+16}-5$. Find $f(0)$
$f(0) =$

Find the following value: if $V={1\over3}\pi r^2 h$, find $r$ for $V=6$, $h={2\over\pi}$ ($r>0$).

(Enter your answer as a number without any functions like sine, ln, etc.)

Let $M(r) = 20(1.2)^r$. Find an $r$ such that $M(r) = 40$.
$r =$

Evaluate mentally (without using a calculator): $\cos^2x$ at $x=\pi$.

(Enter your answer as a number without any functions like sine, ln, etc.)

Evaluate mentally (without using a calculator): $-\ln x$ at $x=e$.

(Enter your answer as a number without any functions like sine, ln, etc.)

Find the following value: if $g(w) = (w+1)^{1/2} + {1\over2}w(w+1)^{-1/2}$, find $g(8)$.

(Enter your answer without any functions like sine, ln, etc.)

Let $g(x) = 2(x+1)^2-4$. What is the $x$-intercept of the graph of $g(x)$ (for $x>0$)?
$x$-intercept =

Let $v(t) = 22t + 1$ be the velocity (in miles/hour, mi/hr) of a car driving along a straight road at time $t$. When is the car going 67~mi/hr?

(Enter your answer as a number with units, leaving a space between your numerical answer and the units.)