Find the volume of the solid of revolution formed by rotating the region bounded by the x-axis and the graph of Y=x^(1/5) , from x=0 to x=1, about the x-axis.
What is 5π/7
100
dx/dy=5x-3
What is Ce^5t+3/5
200
lim x->0 ((x+3)^3 -27)/x
What is 27
200
∫5x^2-8x+5 dx
What is (5x^3)/3 - 4x^2+5x+C
200
y = 3x^2 + √7x + 1
6x + √7
200
Find the volume of the solid of revolution formed by rotating the region bounded by the x-axis and the graph of y = x^3, from x=1 to x=2, around the x-axis.
What is 127π/7
200
dy/dx = 7y^2*x^3
What is y=-1/(7/4x^4+c)
300
lim x-> 25 (5-x^(1/2)) / (25-x)
What is 1/10
300
∫(-6x^+9x^2+4x-3) dx
What is -3/2x^4+3x^3+2x^2-3x+C
300
y = (x - 1)(x^2 + 3)
What is 3x^2 - 2x + 3
300
Find the volume of the solid of revolution formed by rotating the region bounded by the x-axis and the graph of y=x^2 (2-cos(x^5))^(1/2)
What is π(64-sin32)/5
300
dy/dx=6y^2*x
What is y=1/(28-3x^2)
400
lim x-> 9 (9-x)/(x^(1/2)-3)
What is -6
400
∫1/(x*x^(1/2))dx
What is -2/x^(1/2) +C
400
Find the second derivative of y = sin3x
y'' = 9sinx^3 - 6sinx
400
Use the Washer method to solve the problem
area: y=x^2,x=y^2
axis: y=1
What is 11π/30
400
dy/dx= (x^2y-4y)/(x+2)
What is y= Ce^((x^2)/2 -2x+C1)
500
lim x-> 0 (x^2)/(x^2+12)^(1/2) - 12^(1/2)
What is 2*(12^(1/2))
500
∫7 cos(5x)dx
What is (7 sin(5x))/5+C
500
y = √x/(x + 3)
(3 - x)/2√x(x + 3)^2.
500
Use the washer method to solve the problem
area: y=x^3,y=x, x≥0
axis: y=5