人工知能を使用せず、すべてを段階的にデジタル形式で解決してください。ありがとうSOLVE STEP BY STEP IN DIGITAL FORMATDON'T USE CHATGPTIn Problems 15-40, use the disk or washer method to find thevolume of the solid of revolution that is formed by revolvingthe region bounded by the graphs of the given equations aboutthe indicated line or axis.18. y1=121₁x=x = 3, y = 0; x-axis2'

First we have to draw the region as given which is in the following :

Answered: In Problems 15-40, use the disk or…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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kindly anwer number 10 plane area problem.
Problem #1 Use the washer method to calculate the volume when you rotate the following area around the x-axis. The area is defined by the curves: y =x? and y=0.25x² +3 and x=0 The point of intersection is (2 ,4). On the figure draw the boundaries of the area to be rotat- ed. Draw a rectangle that represents the washer method around the x-axis. You can use your calculator to evaluate the final answer. 25
10. What is the answer? Show your complete solution (with graph). Simplify your final answer by algebraic process without the use of calculator.
3. [А the graph of y = x3, on the interval [0, 1], is revolved about the Find the surface area of the volume generated when у-аxis.
13. Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)²=2y, the x-axis, and the line tangent to the circle x² + y² =25 at (3,4). A. 22.89 sq units B. 43.23 sq units C. 15.21 sq units D. 33.43 sq units
Consider the graph of y 2 x between x 0 to x = 9 and the graph of the vertical line x = 9 as shown below. A region is bounded above by the curve y = 2Vx , below by the x axis and on the right by the vertical line x = 9. Your task is to find a formula, in terms of x, which gives the area of a rectangle which will fit in the region so that one side is on the x-axis, one side is on the vertical line x = 9, and one corner is on the graph of y = 2Vx as shown in the diagram below. y= 2Vx

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In Problems 15-40, use the disk or washer method to find the volume of the solid of revolution that is formed by revolving the region bounded by the graphs of the given equations about the indicated line or axis. 1 x = √ √2₁ x ² 2' 1 18. y = =, x = x = 3, y = 0; x-axis