Area, Arc Length
Disk/Washer Method
Shell Method
Cross Sections
Mrs. Price trivia
100

Determine the area of the region bounded by 

y=e^x, y=0, x=1 and x=3


e^3-e≈17.367

100

Find the volume of the solid formed when the region bounded by and the x-axis is revolved about the x-axis


421.392

100

Find the volume of region V when: y=x3/2, y=0, x=1, about the y-axis

V=1.795

100

Find the volume of the solid bounded by the graph of y=x1/2 , x=4, and the x-axis using cross sections of squares with a base that is perpendicular to the x-axis.


V=8

100

What are the names of Mrs. Price's two boys?

Jeffrey and Daniel

200

Determine the area bounded by the curves:

8.0435

200

Let R be the region in the first quadrant bounded by the graph of  y=sqrt(x-1)  , the x-axis, and the vertical line x = 10. What is the volume of the solid generated by revolving R about the y-axis?


V=723.822 or 723.823

200

Find the volume of region V when: y=

root2(x-2), x=0, y=5 

  Around the y-axis

V=1138.827

200

The base of a solid is the region in the first quadrant bounded by the y-axis, the graph of y=tan-1 x, the horizontal line y=3, and the vertical line x=1. For this solid, each cross-section perpendicular to the x-axis is a square. What is the volume of the solid?

V=6.612

200

Name any university Mrs. Price has attended

Michigan State

Georgia State

UW Stout

Hamline

Minnesota State Moorhead

300

Determine the length of the arc of the top half of the curve with the equation 

y^2=x^3

from x = 1 to x = 4

7.6337

300

Find the volume of the solid generated by rotating

from x = 0 to x = 1 about the line y = -2


201.8647

300

Find the volume of region V when: y= 4x-x2, y=3 about x=1

V= 8.377 or 8.378

300

Find the area of the solid bounded by the x-axis, y-axis, and the line y=4-x/2 using cross sections of semicircle that are perpendicular to the x axis

V=16.755

300

Name at least 2 of Mrs. Price's pets

Chief, Captain Awesome and Cobbler

400

Determine the area of the region bounded by

7.9695

400

 Let R be the region in the first quadrant bounded by the graph of y = tan x, the x-axis, and the vertical line x = 1. What is the volume of the solid generated when region R is revolved about the vertical line x = 1?


V=1.178

400

Find the volume when: y=x2+1, x=0, y=5 about the y-axis

V=25.132 or 25.133

400

The base of a solid is the region in the first quadrant between the graph of y=2x and the x-axis for 0≤x≤1. For the solid, each cross section perpendicular to the x-axis is a quarter circle with the circle’s center on the x-axis and one radius in the xy-plane. What is the volume of the solid?

V= 1.047 

or

V=pi/3

400

What was the best concert Mrs. Price saw in the past year?

I would accept either Asia or Toto

500

Determine the area of the region bounded by 

22.9983

500

Find the volume of the solid formed by revolving the region bounded by  y=10-6x+x^2, y=-10+6x-x^2, x=1, x=5  about y = 8


938.289

500

Find the volume of region V when the region bounded by y=sin(πx/2), y=x^2 

is revolved about x = 2

V=2.836

500

Let R be the region in the first quadrant bounded by the graph of y=x2, the line x=4, and the x-axis. R is the base of a solid whose cross sections perpendicular to the x-axis are equilateral triangles. What is the volume of the solid?


V=88.681

500

What is Mrs. Price's favorite anime?

Attack on Titan