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# Calculus Questions - All Grades

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College Integrals
Find the following indefinite integral
$int(8x^8 -6) dx$
1. $8/9x^9+C$
2. $64x^7+C$
3. $8/9x^9-6x+C$
4. $8/9x^9-6+C$
College Integrals
Find the following indefinite integral:
$int(-7x^2+ 4/x- 5/x^4) dx$
1. $-7x^3 + 4 ln(|x|) -5x^-3 +C$
2. $1/3x^3 + 4ln (|x|) + 5/3 x^-3 +C$
3. $-7/3x^3 + 4ln(|x|) + 5/3x^-3 +C$
4. $-14x - 4x^-2 + 20x^-5 +C$
Evaluate. $lim_{x->0} (3x^3+2x^2) / x^2$
1. $5$
2. Undefined
3. $0$
4. $2$
Evaluate the limit. $lim_{x->5} (x^2 - 2x - 15)/(x^2 - 25)$
1. $0$
2. $4/5$
3. $1$
4. $1/2$
Evaluate. $lim_{x->-2} (x+2)/(x^3+8)$
1. $1/6$
2. $1/12$
3. $1/4$
4. $0$
Evaluate the limit. $lim_{x->0} ((x-5)^2-25)/x$
1. Does not Exist
2. $-10$
3. $oo$
4. $0$
Find the average rate of change of $f(x)=-4x^2+3x-4$ on the interval $[-1, 3]$.
1. $-1/5$
2. $5$
3. $1/5$
4. $-5$
Evaluate the limit. $lim_{x->9} (x-9)/(sqrt(x)-3)$
1. Indeterminate
2. $0$
3. $3$
4. $6$
On what intervals is the function $f(x)=3x^3+2x^2$ increasing or decreasing?
1. Increasing: $(-oo,-4/9) uu (0, oo)$, decreasing: $(-4/9, 0)$
2. Increasing: $(-oo,-4/9)$, decreasing: $(-4/9, 0)$
3. Increasing: $(-oo,0) uu (-4/9, oo)$, decreasing: $(-4/9, 0)$
4. Increasing: $(-4/9, 0)$, decreasing: $(-oo,-4/9) uu (0, oo)$
College Integrals
Find the following indefinite integral
$int(-3/x+2x^(-1/4) - 8e^x) dx$
1. $-ln(|x|) -8/3x^(3/4)-8e^x +C$
2. $-1/3ln(|x|) + 8/3x^(3/4) - 8e^x+C$
3. $-3 ln(|x|) + 8/3x^(3/4)-8e^x +C$
4. $-3 ln(|x|) + 8/3x^(3/4) - 8/xe^x+C$
What is the second derivative of $f(x)=3x^3+2x^2$?
1. $f''(x)=18x+4$
2. $f''(x)=9x^2+4x$
3. $f''(x)=18$
4. $f''(x)=0$
Differentiate. $f(x) = (4x^100)/25$
1. $f'(x) = (4x^99)/25$
2. $f'(x) = (8x^10) / 5$
3. $f'(x) = x^99 / 625$
4. $f'(x) = 16x^99$
Find the derivative. $f(x) = root[5](x^7)$
1. $f'(x) = root[5](7x^6)$
2. $f'(x) = 7/5 root[5](x^2)$
3. $f'(x) = root[4](x^6)$
4. $f'(x) = root[5](x^2)$