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1. у — х3 — 0, у 3D 8, х %3D 0 2. у — 1 %3D 2х, у %3D 7— х, у %3D8 3. у? — 1 %3D х, у %3D 1 - х

1. у — х3 — 0, у 3D 8, х %3D 0 2. у — 1 %3D 2х, у %3D 7— х, у %3D8 3. у? — 1 %3D х, у %3D 1 - х

Calculus: Early Transcendentals
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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Open with Google Docs Instruction: Write your solution on a clean sheet of paper and box your final answer. For item 1-3, find the area bounded by the given curves. For item 4-6, find the volume of solid generated by revolving the area bounded by the given curves about the indicated axis. For item no. 7-8. Find the area of surface generated when the indicated arc is revolved about the x-axis. For item 9-10. Find the centroid of the area enclosed or bounded by the given curves. 1. у — х3 3D 0, у %3D 8, х %3D0 2. у — 1 %3 2х, у%3D7—х, у %3D 8 3. у? — 1 %3Dх, у %3D 1-х 4. y = x2 – 2x, x – axis; about the x 5. х +у—5%3 0, у %3D 0, х %3D 0% about the y — ахis 6. х +у — 6 3 0, у %3D 3, х %3D 0; about the y — ахis 7. x2 + y² – 42 = 0 from x 8. y? — 12х — 0 from x 3D 0 to x %3 9. x + 2y – 16 = 0 ,x = 0 ,y = 0 y2 – x3 = 0,y =- 2x | ахis %3D - - - = 2 to x = 4 3 10. -0, y = 2x Page 1 | 1 + -
Transcribed Image Text:Open with Google Docs Instruction: Write your solution on a clean sheet of paper and box your final answer. For item 1-3, find the area bounded by the given curves. For item 4-6, find the volume of solid generated by revolving the area bounded by the given curves about the indicated axis. For item no. 7-8. Find the area of surface generated when the indicated arc is revolved about the x-axis. For item 9-10. Find the centroid of the area enclosed or bounded by the given curves. 1. у — х3 3D 0, у %3D 8, х %3D0 2. у — 1 %3 2х, у%3D7—х, у %3D 8 3. у? — 1 %3Dх, у %3D 1-х 4. y = x2 – 2x, x – axis; about the x 5. х +у—5%3 0, у %3D 0, х %3D 0% about the y — ахis 6. х +у — 6 3 0, у %3D 3, х %3D 0; about the y — ахis 7. x2 + y² – 42 = 0 from x 8. y? — 12х — 0 from x 3D 0 to x %3 9. x + 2y – 16 = 0 ,x = 0 ,y = 0 y2 – x3 = 0,y =- 2x | ахis %3D - - - = 2 to x = 4 3 10. -0, y = 2x Page 1 | 1 + -
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