Volume and Area
What is the area bounded by the x axis and x from 0 to 2?
2
What 3 rules make a limit continuous?
f(x) is defined. The limit from each side is the same. The limit of f(x) equals f(x).
Find the derivative of 5
0
Find the definite integral form 0 to 2 of x2 + 3 dx.
26/3
Order the acceleration, position and velocity in the correct order in terms of derivative and integral.
position, velocity, acceleration or acceleration, velocity, position.
Find the area in between the curves y=x and y=x2
1/6
What are the four types of discontinuity?
Jump, Hole, Infinite and O
Find the derivative of 4z7 - 3z-7 + 9z.
28z6 + 21z-8 + 9
What is the integral of 3x5 - 12x - 1?
(1/2)x6 - 6x2 -x + C
Find the derivative of -tanx
1-sec2x
What is the equation of a washer?
The integral of R(x) - r(x)
What is the limit of (5x3 + 2x2 - 4)/(4x3 -3x2 +2)?
5/4
Find the derivative of tanx + sec2x
sec2x(2tanx+1)
What is the integral of velocity?
Position
What is sin(5pi/4)?
-(sqaure root of 2)/2
Find the volume in between the curves y=x3+3 and the x axis and x=2
60.2857pi
What are three ways to calculate a limit?
Graphically, Algebraically and Numerically.
Find the derivative of 6x-3/2 + (1/8)x-4- (1/3)x-10.
-9x5/2 - (1/2)x-5 + (10/3)x-11
Find the integral of (x.5)/(2x.5)
(2/3)x3/2+x1/2
What is an indefinite integral of a function called?
Anti Derivative
Describe 3 different types of cross sectional shapes
Circle, Square, Triangle
Find the limit of x approaches -3. (Sqareroot(2x+22) -4)/(x+3)
1/4
Find the derivative of cos(3x)5.
-15cos(3x)4sin(3x)
Find the definite integral of 5x2+2+7 from 0 to 2
94/3
Name the Pathegorian Identity.
sin2x+cos2x=1