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.)

Evaluate mentally (without using a calculator): $\sqrt{3x-26}$ at $x=9$.

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

Evaluate mentally (without using a calculator): $\log(2x)$ at $x=5$.

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

Let $f(x) = {6x\over 1+x}$. Solve the equation $f(x) = 3$ for $x$.
$x =$

Find the following value: if $s(t) = 3t^2 \ln t + t^3({1\over t})$, find $s(t)$ when $t=1$.

(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.)

Let $g(z)=\ln(z)$. Find $g(e^2)$
$g(e^2) =$
(Simplify your answer, so that it is written without any functions like sine, ln, etc.)

Evaluate mentally (without using a calculator): $2^y$ at $y=-2$.

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

Let $M(r)=20(1.2)^r$. If $r=1$, what is $M(r)$?

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

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

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