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limits
derivative
rules
velocity and acceleration
integration
100

What is the limit as x approaches 4 of 2x^(2)-4x-7

9

100

What is the derivative of x^(2)-4x

2x-4

100

What are three types of limit discontinuities? 

Jump, oscillating, removable (hole), infinite (vertical asymptote), endpoint

100
Find max accel. on inter. 0
21
100

What is the integration of (3x^(2)-4x+3)dx

x^(3)-2x^(2)+3x+c

200

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 sin2x

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 right isosceles triangle on the hypotenuse?

[int. 0 to 1] ((1/4)*((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

2/3x^(3/2)+x^(1/2)+c