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3 dx a) 3- x

3 dx a) 3- x

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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b) x2 + 5)3 dx 1. Evaluate the integrals that converge: 3 dx 2х а) V3 – x b) (x² + 5)3 dx 2. a) Identify the conic, write in standard form and graph it: 16x? + 4y2 – 64x – 24y + 36 = 0. b) Find an equation that satisfies the given conditions Foci (1,1) and (3,1); major axis of length 6 3. Find the volume of the solid generated when the region enclosed by y = v2x + 8, y = x, x = 0 is revolved about the x-axis. 4. a) Sketch the graph and find the area of the region that lies inside both r = 1 and r= 2sin0. b) Find a polar equation for the conic that has its focus at the pole and satisfies the stated conditions (Points are in polar coordinates and directrix in rectangular coordinates for simplicity). Нуperbola: e %3D 5 =: directrix x = -4 5. Use cylindrical shells to find the volume of the solid generated when the region enclosed between x = y, y = 0,x = 3 revolved about the line y= 3.
Transcribed Image Text:b) x2 + 5)3 dx 1. Evaluate the integrals that converge: 3 dx 2х а) V3 – x b) (x² + 5)3 dx 2. a) Identify the conic, write in standard form and graph it: 16x? + 4y2 – 64x – 24y + 36 = 0. b) Find an equation that satisfies the given conditions Foci (1,1) and (3,1); major axis of length 6 3. Find the volume of the solid generated when the region enclosed by y = v2x + 8, y = x, x = 0 is revolved about the x-axis. 4. a) Sketch the graph and find the area of the region that lies inside both r = 1 and r= 2sin0. b) Find a polar equation for the conic that has its focus at the pole and satisfies the stated conditions (Points are in polar coordinates and directrix in rectangular coordinates for simplicity). Нуperbola: e %3D 5 =: directrix x = -4 5. Use cylindrical shells to find the volume of the solid generated when the region enclosed between x = y, y = 0,x = 3 revolved about the line y= 3.
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