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.)

Find the following value: if $F(x) = {1\over4}x^4 + x$, find $F(b)-F(a)$ for $a=-1$, $b=1$.

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

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

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

Let $f(x)=\sqrt{x^2+16}-5$. For what $x>0$ is $f(x)$ zero?
$x =$

Let $M(r)=20(1.2)^r$. If $r=0$, what is $M(r)$?

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

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

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 meaning of $s(0)$?

Find the following value: if $G(x) = \tan 2x$, find $G(b)-G(a)$ for $a=0$, $b={\pi\over8}$.

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

Evaluate mentally (without using a calculator): $x^2+4(x - 3)$ at $x=4$.

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

Let $g(x) = 2(x+1)^2-4$. What is the vertical intercept of the graph of $g(x)$?
vertical intercept =