Limits and Continuity
Derivatives
Integrals
Sequence and Series
Random
100
Limit as x goes to 5 of x squared minus 25 over x squared plus x minus 30
What is 10/11
100
d/dx tanx=
What is sec^2xdx
100
Integral of (x-5)^-4dx
What is (-1/3)(x-5)^-3 + k
100
Write out the Maclaurin series for e^x
What is 1+x+x^2/2!+x^3/3!+...
100
If f(x)=3x^2, then f(x)=
What is y= (x-2)/3
200
If f(x)=(3x^2+x)/(2x) for x is not = 0 and f(0)=k, and if f is continuous @ x=0, then k=
What is 3/2
200
d/dx (1+x^3)^7 =
What is 7(1+x^3)^6 * 3x^2
200
Integral of e^(3x-2)dx
What is (1/3)e^(3x-2) + k
200
Write out the Maclaurin series for sinx
What is x-x^3/3!+x^5/5!-x^7/7!+...
200
The slope of the normal line to the curve y=2x^2+1 at (1,3) is
What is -1/4
300
Limit as x goes to 1- of (x^2+2x-3)/(|x-1|)=
What is -4
300
d/dx (sin^-1x) =
What is dx/(1-x^2)^(1/2)
300
Integral of x*(2x^2+5)^4dx
What is 1/20*(2x^2+5)^5+k
300
10 S = ∑ 8*(1/4)i-1 i=1
What is 10.67
300
A boy 5ft tall walks at a rate of 3ft/sec towards a streetlamp that is 12 ft above ground, what rate is the rate of change of length of shadow
What is 15/7 ft/sec
400
Limit as x goes to 0 of (sinx-x)/tanx=
What is 0
400
Find dy/dx for y^3 + xy - 2y - x^2 = -2
What is (2x-y)/(3y^2+x-2)
400
Integral of (1-2x)/(x^2+2x+1) *hint use partial fraction
What is -2ln|x+1| + (-3/x-5)^-3+k
400
The first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find a formula for the n th term
What is 3n+3
400
True or False. The two functions f and g defined by f(x) = 3x + 3 for x real and g(t) = 3t + 3 for t real and positive are equal?
What is False
500
The limit as x goes to infinity of lnx/x=
What is 0
500
Find dy/dx for y= [(x^2+1)/(x^2-1)]^(1/3)
What is (1/3) [1/(x^2+1) - 1/(x^2-1)]
500
Integral of 1/(1+x^2)dx
What is arctan(x)+c
500
The first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find the value of the 50 th term
What is 153
500
A conical tank 20 ft in diameter and 30 ft tall (w/ a vertex down) leaks water @ a rate of 5 ft^3/hr. At what rate is the water level dropping when the water is 15 ft deep?
What is 1/5(pi) ft/hr
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