Test Section10FunctionNotationTest

Let $v(t)=t^2-2t$, where $v(t)$ is the velocity in ft/s of an object at time $t$. When for $t>0$ is the object stopped (when is $v(t)=0$)?
$t=$
(Enter your answer as a number with units, leaving a space between your numerical answer and the units.)

Find the following value: if $x^2+y^2=z^2$, find $x$ for $y=12$, $z=13$, $x>0$.

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

Let $g(z)=\ln (z)$. Find a value of $z$ which makes $g(z)$ zero.
$z=$
(Simplify your answer, so that it is written without any functions like sine, ln, etc.)

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

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

Find the following value: if $4x-3(y^2+x^{2}y{y}^{\prime })+4y^{\prime }=0$, find $y^{\prime }$ for $x=1$, $y=2$.

(Enter your answer as a number 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 $g(x)=2(x+1{)}^2-4$. Find $g(2)$.
$g(2)=$

Evaluate mentally (without using a calculator): $\frac{\tan x}{x}$ at $x=\pi$.

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

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 $h(z)=\frac{(\cos z)(2z+1)-(\sin z)(2)}{(2z+1{)}^2}$, find $h(0)$.

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