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College Calculus Questions

Create printable tests and worksheets from College Calculus questions. Select questions to add to a test using the checkbox above each question. Remember to click the add selected questions to a test button before moving to another page.

Show Calculus questions in All Grades.

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College :: Calculus by mvmabry

Find the following indefinite integral
$int(8x^8 -6) dx$

$8/9x^9+C$
$64x^7+c$
$8/9x^9-6x+C$
$8/9x^9-6+C$

College :: Calculus by mvmabry

Find the Following indefinite integral
$int(-7x^2+ 4/x- 5/x^4) dx$

$-7x^3 + 4 ln(|X|) -5x^-3 +C$
$1/3x^3 + 4ln (|X|) + 5/3 x^-3 +C$
$-7/3x^3 + 4ln(|X|) + 5/3x^-3 +C$
$-14x - 4x^-2 + 20x^-5 +C$

College :: Calculus by mvmabry

$int(8x^8 -6) dx$

$8/9x^9+C$
$64x^7+c$
$8/9x^9-6x+C$
$8/9x^9-6+C$

College :: Calculus by mvmabry

Find the following indefinite integral
$int(-3/x+2x^(-1/4) - 8e^x) dx$

$-ln(|x|) -8/3x^(3/4)-8e^x +C$
$-1/3ln(|x|) + 8/3x^(3/4) - 8e^x+C$
$-3 ln(|X|) + 8/3x^(3/4)-8e^x +C$
$-3 ln(|X|) + 8/3x^(3/4) - 8/xe^x+C$

College :: Calculus by megomatic

Let $f(x)=sqrt(3x^4+5)$ . Find

College :: Calculus by megomatic

Find $(dy)/(dx)$ when $xy-y^3=1$ .

College :: Calculus by megomatic

Find an equation of the tangent line to the curve $f(x)=3x^2+4x$ at $x=1$

College :: Calculus by megomatic

Let $f(x)=sqrtx$ . Find $f'(x)$ using the formal definition of the derivative.

College :: Calculus by megomatic

Let $y=x^3+3x^2-9x+2$ . Determine the intervals where the function is monotonically increasing and decreasing.

College :: Calculus by Narishm

What is the derivative of 21?

College :: Calculus by megomatic

Let $f(x)=(x^3+2x)/(5x+7)$ find $f'(x)$

College :: Calculus by megomatic

Let $f(x)={ul({:((x^2+x-6)/(x-2) ,x!=2),(a,x=2):})$ Find the a that will make $f$ a continuous function. State your reasoning why.

College :: Calculus by megomatic

A population of harmful insects is growing according to the formula $i(t)=2t^2+t+5$ , where $t$ is measured in days and $i(t)$ is measured in thousands of insects.
a) Find the average rate of growth between $t=1$ and $t=3$

b)Find the instantaneous rate of growth at $t=2$

College :: Calculus by megomatic

Let $f(x)=x^3-2x+3$ Use the Intermediate Value Theorem to show that $f(x)=0$ for some $cin(-3,-1)$

College :: Calculus by megomatic

Explicitly find $lim_(x->oo)(5x^3+3x^2)/(7x^5+8x)$

College :: Calculus by megomatic

Find $d/dt (t^457-6Pit^2+8)$

College :: Calculus by megomatic

Find $lim_(x->o)(sin(3x))/(2x)$

College :: Calculus by megomatic

(Extra Credit) A cylindrical tank with radius $5m$ is being filled with water at a rate of $3m^3$ / $min$ . How fast is the height of the water increasing? (Note: $V=pi r^2h$ )

College :: Calculus by megomatic

Let

. Find $f(x)=(2x^4+8x)(ex^3-2)$

College :: Calculus by megomatic

Let $f(x)=log_7(x^2+5)$ find $f'(x)$

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College Calculus Questions