11. y - 3r y - 12

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.5: Percents
Problem 23WE
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Finding Limits of Integration
In Exercises 9–18, write an iterated integral for over the described
region R using (a) vertical cross-sections, (b) horizontal crosssections

11.
y - 3r
y -r
Transcribed Image Text:11. y - 3r y -r
Expert Solution
Step 1

Consider the given curve.

 

The equation of line is,

y=3x

The equation of the curve is,

y=x2

Step 2

(a)

Draw a vertical line through the region R and mark the y values where the line enters and leaves. These are the y-limit of integration and is usually a function of x. 

After that choose x-limits that include all vertical lines through R.

Calculus homework question answer, step 2, image 1

Step 3

From the graph, the region of integration R is given by the inequalities,

0x3x2y3x

Hence,

RdA=x=03y=x23xdydx

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