Test Section10FunctionNotationTest

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

(Enter your answer as a number 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.)

Find the following value: if $V=\pi r^2 h$, find $h$ for $V=12$, $r=\sqrt2$.

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

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.)

Let $s(t) = 2t^4 + 320$ be the position (in kilometers, km, from some known location) of an object at time $t$ (in hours, hr). What is $s(0)$?
$s(0) =$
(Enter your answer as a number with units, leaving a space between your numerical answer and the units.)

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.)

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

Evaluate mentally (without using a calculator): ${1\over2}x^{-1/2}$ at $x=1$.

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