Test Section10FunctionNotationTest

Let $g(x) = 2(x+1)^2-4$. If $g(x) = 4$, what is the largest possible value of $x$?
$x =$

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.)

Find the following value: if $f(x)=\cos(x)\sin(x) - 3\tan(x) + 3$, find $f(x)$ when $x={\pi/4}$.

(Enter your answer 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.)

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.)

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

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

Evaluate mentally (without using a calculator): $\root3\of{x-27}$ at $x=26$.

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

Let $s(t) = 11t^2 + t + 100$ be the position (in miles, mi) of a car driving on a straight road at time $t$ (in hours, hr). Where is the car after 2 hours?

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

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

(Enter your answer as a number 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.)