Answer to Question #186980 in Calculus for Hyeri

Question

A. Find the volume generated by revolving above the x-axis the areas bounded by the following curves.

1. y= 6x-x² ; y = 0

2. y = x² ; y = 2x

B. Find the volume generated by revolving above the y-axis the areas bounded by the following curves.

1. y = x² ; y = x

2. y = 12 - x² ; y = x ; x = 0

C. Find the volume of the solid generated by revolving above the indicated axis the area bounded by the giving curves.

1. y² = 4x ; x = 4 ; about x = 4

2. y² = 5-x ; x = 0 ; about x = 5

Answer 1

There are seven ways your sketch could look, depending on what z-values you were given. Once you have drawn your sketch, look at the pictures below. Click on the image that looks most like your sketch. The link will take you to a step-by-step guide on how to find the area under a normal curve for that shape. Many of these also have short videos showing the steps.

Find an area under a normal distribution

area between two z scores on same side

area between two z values on opposite side of mean