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(1) True or False. Justify. a- The volume of the solid rotated about the x-axis of the region bounded between Π y = sinx, y = 0, and x = is given by √(sinx)² dx. b- If f is continuous and √ f(x)dx = 4, then √³ xf(x²)dx = 4. c- The sequence an = 3n-4 2n-1 converges to 0. d-1e2n e-2 1+e-2° e- c- If a converges then Σamust converge too. (Bonus +4)

(1) True or False. Justify. a- The volume of the solid rotated about the x-axis of the region bounded between Π y = sinx, y = 0, and x = is given by √(sinx)² dx. b- If f is continuous and √ f(x)dx = 4, then √³ xf(x²)dx = 4. c- The sequence an = 3n-4 2n-1 converges to 0. d-1e2n e-2 1+e-2° e- c- If a converges then Σamust converge too. (Bonus +4)

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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(1) True or False. Justify. a- The volume of the solid rotated about the x-axis of the region bounded between Π y = sinx, y = 0, and x = is given by √(sinx)² dx. b- If f is continuous and √ f(x)dx = 4, then √³ xf(x²)dx = 4. c- The sequence an = 3n-4 2n-1 converges to 0. d-1e2n e-2 1+e-2° e- c- If a converges then Σamust converge too. (Bonus +4)
Transcribed Image Text:(1) True or False. Justify. a- The volume of the solid rotated about the x-axis of the region bounded between Π y = sinx, y = 0, and x = is given by √(sinx)² dx. b- If f is continuous and √ f(x)dx = 4, then √³ xf(x²)dx = 4. c- The sequence an = 3n-4 2n-1 converges to 0. d-1e2n e-2 1+e-2° e- c- If a converges then Σamust converge too. (Bonus +4)
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