| AP Review | Volume | Miscellaneous | Maur"rates" | Antidermivatives | 
|---|---|---|---|---|
| 
					  What is 1/3 sin(3x) + C					 
					 The integral of cos(3x) | 
					  What is pi * the integral from 0-1 of g(x)^2 - f(x)^2					 
					 Equation for the volume of a solid generated when the functions f(x)=2x and g(x)=x+1 in the first quadrant. | 
					  What is 0					 
					 Lim of 1/x as x reaches infinity= | 
					  What is dV/dt= 4pi r^2 dr/dt					 
					 Rate of change set up for the volume of a sphere (V= 4/3 pi r^3) | 
					  What is (4x^5)/5 +C					 
					 Dy/dx= 4x^4  | 
| 
					  What is 2x+y-2					 
					 dy/dx of ln(2x+y)=x+1 | 
					  What is pi * the integral from 0-1/2 of (1-f(x))^2 - (1-g(x))^2					 
					 Write an integral expression for the volume of the solid rotated around the line y=1 of region in the first quadrant enclosed by the graphs of f(x)=8x^3 and g(x)=sin(pi x) intersecting at the point (1/2,1). | 
					  What is A^u lnA du/dx					 
					 d/dx A^u | 
					  What is .0442 in/min					 
					 Air is being pumped into a spherical balloon at a rate of 20 in^3/min. How fast is the radius of the balloon increasing when the radius is 6in. (Calculator) | 
					  What is sin(x)^2 /2 + C					 
					 Dy/dx= sin(x)cos(x)  | 
| 
					  What is 13					 
					 A particle move along the x-axis with a velocity given by v(t)=3t^2-4 and the particles position is x=-2 at t=0. Find the position of the particle at t=3. | 
					  What is 91.067pi or 311.228					 
					 Find the volume of the solid generated between x=1 and x=3 around the function 3x^2+2 when rotated around the x-axis. (calculator permitted) | 
					  What is velocity and acceleration are the same					 
					 The particle is speeding up under these conditions | 
					  What is dV/dt= 2/3pi rh dr/dt + 1/3 pi r^2 dh/dt					 
					 Set up of the rate of change of volume of a cone. (V=1/3pir^2h) | 
					  What is (2x^6)/3 + C					 
					 Dy/dx= x^2 2x^3  | 
| 
					  What is y+3= 11/3 (x-1)					 
					 The equation of the line tangent to the graph of x^2-3xy=10 at point (1,-3) | 
					  What is 42.667pi or 134.039					 
					 The volume of a solid generated from the area between the functions f(x)=4x and g(x)=x^2 when rotated around the y-axis.(calculator)   | 
					  What is log (x^3+y^.5)/z					 
					 Simplify 3log x + log y^.5 - log z | 
					  What is 18.685 mph					 
					 At noon Ship A is 50 miles west of ship B. Ship A is traveling east at 15 mph and ship B is traveling north at 20 mph. How fast is the distance between the two ships changing at 3:00 pm. | 
					  What is (x+2)^6 /6 + C					 
					 The indefinite integral (x+2)^5dx  | 
| 
					  What is f'(x)=(x^.5)/2 - 1/x , f"(x)= -(x^-1.5)/4 + 1/x^2					 
					 f'(x) and f"(x) of the function f(x)=sq. root x-lnx | 
					  What is 34.133					 
					 The volume of a solid with square cross sections with base side lying perpendicular to the x-axis between functions f(x)=x^2 and g(x)=4x.(calculator) | 
					  What is 4					 
					 2+2 | 
					  What is 20/3 mph					 
					 A man 6 feet tall walks away from a lamp post 24 feet high at 5 mph. How fast is the end of his shadow moving.  | 
					  What is arc-csc(x)					 
					 -1/(lxl sq. rt(1-x^2)) |