Surface Area of Rotation

Cool Math

100

Find the surface area of the rotation of y=x^1/2 rotated about the x-axis on the interval [0,1]

S=13.22

200

Find the surface area of the rotation of f(x)=4x³ rotated about the x-axis on [0,1]

50.761

300

Find the surface area of the rotation of y=5x⁴+1 on the interval [0,1]

112.67

Math Swag

100

y=(4-x²)^1/2 rotated about the x-axis on [-1,1]

25.13

200

Find the surface area of the rotation of f(x)=x² rotated x-axis on [0,3]

S=261.32

300

Find the surface area of the rotation of y=(1/9)x³ on [0,2] rotated about the x-axis.

3.8

Math Parody

100

Find the surface area of the rotation of y=3x²+3 about the x-axis from [1,5].

19021.7

200

Find the surface area of the rotation of y=3x⁴+3x² rotated x-axis on [0,1] 

S=116.691

300

Find the surface area of the rotation of x=(1/3)y³ rotated about the y-axis [0,1]

S=0.64

Coolio Calc

100

Find the surface area of the rotation of x=4y² rotated about the y-axis from [0,1]

S=51.635

200

Find the surface area of the rotation of y=.5x about x-axis on [0,4]

S=28.1

300

Revolve x^2/3+y^2/3=1 about the x- axis on the interval [0,1] 

S=7.54

No calc Calc

100

What is the derivative y=x³

3x²

200

What is the indefinite integral of 3x²+5?

x³+5x+c

300

If Mrs. Cardenas has grades changing at a rate of y=6x² percentages per minute, then how much have the grades changed in 60 seconds?

2%