limits
What is the limit as x approaches 4 of 2x^(2)-4x-7
9
What is the derivative of x^(2)-4x
2x-4
What are three types of limit discontinuities?
Jump, oscillating, removable (hole), infinite (vertical asymptote), endpoint
What is the integration of (3x^(2)-4x+3)dx
x^(3)-2x^(2)+3x+c
What is the limit as x approaches infinity of (x-2)/(x^2-5x-2)
0
What is the derivative of (4)/(x-1)
(4)/[x^(2)-2x+1]
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.
What is the integration of (2/x^(1/2))dx
4x^(1/2)+c
What is the limit as x approaches pi/2 of sin2x
0
What is the derivative of (2x+4)(cosx)
(2x+4)(-sinx)+2cosx
What does the 2nd derivative tell you?
Concavity and inflection points.
What is the integration for (3x^(2)-4cosx)dx
x-4sinx+c
What is the limit as x approaches 3 of e^(2-x)+2
2
What is the derivative of e^cosx
-sine^cosx
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
What is the integration from 2 to 1 for ((3)/(x^(2))-1)dx
1/2
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
What is the derivative of ln(5-2x^2)
(-4x)/(5-2x^2)
What is the formula for cross sections that are right isosceles triangle on the hypotenuse?
[int. 0 to 1] ((1/4)*((f(x)-g(x))^2) dx
What is the integration of (x^(0.5)+(1)/(2(x^(0.5)))dx
2/3x^(3/2)+x^(1/2)+c