The solution to y' = 2y with an initial condition y(0) = 6
What is 6e^2x
100
lim as x approaches infinity of 2x^2/4x^2
What is 1/2
100
Critical points of f(x)=x^2 - 2x +4
What is 1
200
f(x) = absolute value of (x-3), f'(1)
What is 1
200
The integral of 6x sin(x^2) dx
What is -3 cos(x^2) + C
200
A solution to y' + 4y = 0
What is 1/(4e^4x)
200
limit as x approaches infinity of 4 - 1/x
What is 4
200
The absolute maximum of y = x^3 - 12x^2 +21x on interval [0, 2]
What is x = 1
300
y - x^2 * y^2 = 6, what is dy/dx
What is (2xy^2)/(1-2x^2 * y)
300
The integral of t^2 sec^2(9t^3 + 1) dt
What is 1/3 tan(9t^3 + 1) + C
300
A solution to the DEQ y'+x^2*y=0
What is ce^(-x^3/3)
300
limit as x approaches 0 of x * ln(x)
What is 0
300
The value that satisfies the mean value theorem for the function y = x^-1, [2, 8]
What is -1/16
400
Sand is falling from a rectangular box container whose base measures 40 inches by 20 inches at a constant rate of 300 cubic inches per minute. The rate of change of the depth is
What is -3/8 inches/min
400
The setup of the area of the region in the first quadrant bounced above by y =4x and below by y = x^3.
What is the integral from x = 0 to x =2 of 4x - x^3
400
Solution of DEQ y' = x(y^2+1), y(0) = 0
What is y = tan (1/2 x^2)
400
limit as x approaches 0 from the positive side of cos(x)/x
What is infinity
400
The volume of the solid obtained by rotating y =16x -2x, y=6, x=0 about y = 15
What is 1400pi/3
500
The equation of the line tangent to the curve at the point (-2, 3) of the function x^2 - xy +y^2 = 19
What is y = 3 + 7/8(x+2)
500
The average acceleration from 0 to 10 of the acceleration function a(t) = 6 - 2t
What is -4 (ft/sec)/sec
500
Solution to y' = y^2 sinx, y(pi) = 2
What is y = 1/(cos(x) + 3/2)
500
limit as x approaches infinity of (e^2x - 1 - x)/(x^2)
What is infinity
500
Volume of the solid obtained by rotating y = 9/x^2 and y=10-x^2, x is positive about x =-1