Find the volume of a solid by rotating the region bounded by the curve y=2x-x^2 and y=0 about the line x=3 using cylindrical shell method
What is (56pi)/3
200
derivative of (cos(x^3))^2
What is -6x^2cos(x^3)sin(x^3)
200
Integral from -3 to 1 of 6x^2-5x+2
What is 84
200
In order to find a relative maximum or minimum, you can use...
What are the First and Second Derivative Tests
200
lim sin(x)/x
What is 1
200
Find the volume of the solid obtained by rotating the region bounded by y=4x-x^3 and y=0 and the lines x=0 and x=2 about the y-axis using the method of cylindrical shells
What is (128pi)/15
300
Derivative of sin(5x)
What is 5cos(5x)
300
Integral from pi/6 to pi/4 of 5-2secxtanx
What is (5pi/12) - 2(sq root 2) + (4/(sq root 3))
300
The position at t = 2 of a particle with velocity, v(t) = 2x + e^x, and s(0) = -3 ft is
What is e^2 ft
300
lim as x approaches infinity of (1/x)
What is 0
300
Find the area of the region bounded by y=(sq root of x) and y=x^3
What is 5/12
400
derivative of 6x^(3/2)tanx
What is 3x^(1/2)(2(secx)^2+3tanx)
400
Integral from 0 to 3 of the absolute value of (3x-5)
What is 41/6
400
Name all four types of non-differentiabilities.
What are the cusp, corner, vertical tangent, and discontinuity
400
lim as x approaches 4 of (x^2-7x+12)/(x-4)
What is 1
400
Find the volume of the solid obtained by rotating the region bounded by x=y^2 - 2 and y=x about the line y=3
What is (45pi)/2
500
derivative of x^3 lnx
What is (x^2(1+3lnx))
500
Integral from 0 to 1 of 4x - 6 (cube root (x^2)) dx
What is -8/5
500
A particle moves on the x-axis with position s(t) = sin(2x). On the time interval [0,pi], WHEN does the particle change direction?
What is pi/4 and 3pi/4
500
lim as x approaches 2 of k(x)
k(x) = x^2 + 9 when x<2
k(x) = x^2 - 3 when x >/= 2
What is dne
500
Find the volume of the solid formed by rotating the region bounded by y=(x-1)(x-3)^2 and the x-axis about the y-axis