   Chapter 7.9, Problem 14E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Finding the Volume of a Solid Region In Exercises 13-20, use a double integral to find the volume of the solid region. To determine

To calculate: The volume of the solid region bounded by z=62y, 0x4 and 0y2. Explanation

Given Information:

The provided function is z=62y and the range of x and y are 0x4, 0y2.

And, the provided figure is,

Formula used:

Step 1: First decide the order of integration,

If V=aby=f(x)x=g(x)f(x,y)dydx then take strip parallel to the y-axis.

If V=aby=f(x)x=g(y)f(x,y)dydx then take strip parallel to the x-axis.

Step 2: Integrate the function f(x,y).

If the order of integration dydx then integrate function first with respect to y and x constant

apply the limit. The integrate with respect x.

Step 3: Substitute the limit of x and get the volume of a given function

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