What is the average rate of change of the function f given by f(x)=x^4-5 on the closed interval[0, 3]?
33
100
Name 5 of the 7 dwarfs.
Names 5 of the following: Grumpy, Dopey, Doc, Sneezy, Happy, Bashful, and Sleepy
200
∫(3/x)dx
3lnlxl+c
200
sinxcosx
cos^2(x)-sin^2(x)
200
lim (x-3)/(x^2-9)
x->3
1/6
200
If the function f given by f(x)=X^3 has an average value of 9 on the closed interval [0,k], then k=
36^1/3
200
What year was Monster's Inc. first released. (Bonus 100 points if correct month is given as well)
2001 (in December)
300
∫dx/(x^2+4x+3)
1/2(lnl(x+1)/(x+3)l)+c
300
e^(x^2-4x+2)
(2x-4)e^(x^2-4x+2)
300
lim (4x+3x^2)/(2x-6x^2)
x->∞
-1/2
300
If 3x^2+2xy+y^2=1, then dy/dx is
-(3x+y)/(x+y)
300
What character's first line is "Life's not fair"?
Scar from the Lion King
400
∫xe^xdx
xe^x-e^x+c
400
sin(x^2-4x)
(2x-4)cos(x^2-4x)
400
lim (x^2+2x-4)/(9x-2)
x->∞
∞
400
A curve is described by the parametric equations 2
x t t = + 2 and 3 2 y t t = + . An
equation of the line tangent to the curve at the point determined by t = 1 is
5x-4y=7
400
What is the name of the step mother in Cinderella?
Lady Tremaine
500
∫arctanxdx
xarctanx-1/2(lnl1+x^2l)+c
500
arctanx
1/(1+x^2)
500
lim (x^3+x^2-4x)/(x^9+3x^12-3x)
x->0
4/3
500
The third-degree Taylor polynomial about x = 0 of ln(1-x) is