AP Review | Volume | Miscellaneous | Maur"rates" | Antidermivatives |
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What is 1/3 sin(3x) + C
The integral of cos(3x)
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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.
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What is 0
Lim of 1/x as x reaches infinity=
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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)
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What is (4x^5)/5 +C
Dy/dx= 4x^4
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What is 2x+y-2
dy/dx of ln(2x+y)=x+1
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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).
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What is A^u lnA du/dx
d/dx A^u
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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)
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What is sin(x)^2 /2 + C
Dy/dx= sin(x)cos(x)
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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.
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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)
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What is velocity and acceleration are the same
The particle is speeding up under these conditions
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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)
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What is (2x^6)/3 + C
Dy/dx= x^2 2x^3
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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)
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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)
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What is log (x^3+y^.5)/z
Simplify 3log x + log y^.5 - log z
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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.
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What is (x+2)^6 /6 + C
The indefinite integral (x+2)^5dx
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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
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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)
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What is 4
2+2
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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.
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What is arc-csc(x)
-1/(lxl sq. rt(1-x^2))
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