Limits
Derivatives
f f' f"
Integrals
Random
100
lim as x approaches 1 of 2x+2
3
100
Find the first derivative of ((x2+3)2ln(x))/x
(x2+3)((3x2-3)ln(x)+x2+3)/x2
100
For the graph of x3+16.5x2+90x what are the critical points?
-5,-6
100
Integral of (x3+x)/(x-1)
1/3x3+1/2x2+2x+2ln|x-1|+C
100
If velocity and acceleration is negative then the object is
speeding up
200
What is the lim x-->-4 from both sides as well as from the negative and positive sides
non-existant
-2
3
200
Name the graph formed by the derivative of each function: Quadratic, Cubic, Quartic
Line
Parabola
Cubic
200
When is the slope of the graph of y= x3-3x+5 positive and negative
positive (-infinity, 0) (2,infinity)
Negative (0, 2)
200
Integrate (2x+5)(x2+5x)6 between 1 and 3
4536
200
Find the area bound by the curves of 2x+3 and x2-3x+2
around 26
300
limit as x--> 2 of (x2-5x+6)/(x-2)2
does not exist
300
If the equation P=(x3-4x2)/ex shows the position of an object in inches relative to time in seconds, what is the equation for its acceleration? -x
A=-x(x2-7x+8)e-x
300
What are the inflection points of the graph y=1/6x4+1/2x3-9/2x2
x=-3, 3/2
300
Say that the integral from 0 to 2 of f(x) is 2 and the integral from -1 to 0 of f(x) is -4. What is the integral of f(x) from -1 to 2?
-2
300
Find y for dy/dx= (x4-2x+3)/y
y = sqrt (2/3x4-2x2+6x+2c)
400
Find the horizontal asymptote of y=ln|-4/x +3|
ln|3|
400
The height in inches of kool-aid that is being poured in a jar per second is measured by the equation K=(x+1)1/2+ln(x). At what rate is kool-aid being added at 3 seconds?
7/12 inches/second
400
Find the tangent line graph of for x2+6x-7 at the point (2,3)
y=10x-17
400
If the acceleration of an eagle is represented by the equation y=x2-3x+5 and at t=0 the position was 2 write equations that represent the velocity and position of the eagle.
velocity- 1/3x3-3/2x2+5x
position- 1/12x4-1/2x3+5/2x2+2
400
Find the volume of the solid formed by revolving y=-x2+8 and y=2 around the y-axis
about 56
500
Find the value of a such that limx->1 (2x2-ax-14)/(x2+3x+2)
a=-12
limit=-4
500
Katie is blowing air into her spherical balloon. If the radius is increasing at a rate of 2 cm per minute when the radius is 4 cm, at what rate is the volume changing?
The volume is changing at a rate of 128pi cm per minute
500
A 9x9 cm has squares cut with side length x on each corner. Folding the paper makes a open top box. What is the volume of x that will maximize the volume of the box?
1.5 cm
500
For the equation (x3+4x2+5x) between 0 and 4 find the area using left Riemann sun with 6 rectangles
201.18
500
What is the FTC part 1 equation
integral from a to b of f(x) is equal to F(b) -F(a)