What is the limit as x approaches infinity of (x-2)/(x^2-5x-2)
0
200
What is the derivative of (4)/(x-1)
(4)/[x^(2)-2x+1]
200
What is the intermediate value theorem?
if f(x) is continuous on [a,b] and f(a)y>f(b) then there exists at least 1 value x=c on (a,b) such that f(c)=y.
200
A particle moves along the x- axis so that any time t>0 its velocity is given by the function v(t)=t^(2)ln(t+2). What is the acceleration of the particle at time t=6? (Calc.)
29.453
200
What is the integration of (2/x^(1/2))dx
4x^(1/2)+c
300
What is the limit as x approaches pi/2 of sin2theta
0
300
What is the derivative of (2x+4)(cosx)
(2x+4)(-sinx)+2cosx
300
What does the 2nd derivative tell you?
Concavity and inflection points.
300
Find average velocity on int. 1 to 3 with 2x^(2)-3x.
5
300
What is the integration for (3x^(2)-4cosx)dx
x-4sinx+c
400
What is the limit as x approaches 3 of e^(2-x)+2
2
400
What is the derivative of e^cosx
-sine^cosx
400
What is the formula for finding the volume of the solid revolution?
pi(integration from b to a) [f(x) - Axis of Rotation]^(2) dx
400
Find the average value of 2-4x on int. 2
-14
400
What is the integration from 2 to 1 for ((3)/(x^(2))-1)dx
1/2
500
For what value of a would the limit exist
f(x)=2x^(2)-3+a as x is less than 3
ax^(4)-x^(3)+3 as x is greater than or equal to 3
DOUBLE JEOPARDY
a=39/80
500
What is the derivative of ln(5-2x^2)
(-4x)/(5-2x^2)
500
What is the formula for cross sections that are equilateral triangles?
(3^(0.5)/4)integration(f(x)-g(x))^(2)dx
500
Find the instantaneous velocity at f=2 for p(t)=2x^(2)-3x.
5
500
What is the integration of (x^(0.5)+(1)/(2(x^(0.5)))dx