Please need and answers to these problems. A volume is described as follows:1. The base is the region bounded by $ y = e^{3.2x} $, $ y = 3.2x^2 + 0.8 $, and $ x = 1 $.2. Every cross section perpendicular to the x-axis is a square.Find the volume of this object.\[ \text{volume} = \] The problem requires finding the volume of a three-dimensional object with specific geometric properties.1. **Base Description:** - The base of the object is a region in the plane determined by two curves: - $ x = -y^2 + 8y + 50 $ - $ x = y^2 - 22y + 138 $ - These equations define the boundaries of the base when plotted on the coordinate plane.2. **Cross Sections:** - Every cross section of the object perpendicular to the y-axis forms a semi-circle.The task is to compute the volume of the object using the provided information. The final result should be entered in the provided text box labeled “volume =”.

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Description: Please need and answers to these problems. A volume is described as follows:1. The base is the region bounded by $ y = e^{3.2x} $, $ y = 3.2x^2 + 0.8 $, and $ x = 1 $.2. Every cross section perpendicular to the x-axis is a square.Find the volum

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Math

Calculus

A volume is described as follows: 1. the base is the region bounded by y = e.2", y = 3.2x? + 0.8 and a = 1; 2. every cross section perpendicular to the x-axis is a square. Find the volume of this object.

A volume is described as follows: 1. the base is the region bounded by y = e.2", y = 3.2x? + 0.8 and a = 1; 2. every cross section perpendicular to the x-axis is a square. Find the volume of this object.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Please need and answers to these problems.

A volume is described as follows:

1. The base is the region bounded by $ y = e^{3.2x} $, $ y = 3.2x^2 + 0.8 $, and $ x = 1 $.
2. Every cross section perpendicular to the x-axis is a square.

Find the volume of this object.

\[ \text{volume} = \]

The problem requires finding the volume of a three-dimensional object with specific geometric properties.

1. **Base Description:**
- The base of the object is a region in the plane determined by two curves:
- $ x = -y^2 + 8y + 50 $
- $ x = y^2 - 22y + 138 $
- These equations define the boundaries of the base when plotted on the coordinate plane.

2. **Cross Sections:**
- Every cross section of the object perpendicular to the y-axis forms a semi-circle.

The task is to compute the volume of the object using the provided information. The final result should be entered in the provided text box labeled “volume =”.

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