Test Section10FunctionNotationTest

Find the following value: if $r(x) = 4x \sin x - (x^2 - 1)$, find $r(x)$ when $x=0$.

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

Let $v(t) = t^2 - 7t + 12$, where $v(t)$ is the velocity (in km/yr) of an object at time $t$ (in years, yr). How fast is the object moving after 48 months?

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

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

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

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

Evaluate mentally (without using a calculator): $10^{2x-5}$ at $x=3$.

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

Let $f(x)=\sqrt{x^2+16}-5$. What is the vertical intercept of the graph of $f(x)$?
vertical intercept =

Let $s(t) = 2t^4 + 320$ be the position (in kilometers from some known location) of an object at time $t$ (in hours). What is the sign of $s(t)$?

Find the following value: if $G(x) = 2\sin x$, find $G(b)-G(a)$ for $a={\pi\over2}$, $b={3\pi\over2}$.

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

Evaluate mentally (without using a calculator): $\log(2x-3)$ at $x=2$.

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

Find the following value: if $y-1 = m(x+4)$, find $m$ for $x=-2$, $y={1\over2}$.

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