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24) Assume that f is a continuous and odd function. Assume that , f(t)dt = 4 and K f (t)dt = 1. Which of the following statements are true? a) f(t)dt = 3 b) f(t)dt : c) So f(t)dt = –1 d) , f(t)dt = 0 e) , f(t)dt = 2 -4

24) Assume that f is a continuous and odd function. Assume that , f(t)dt = 4 and K f (t)dt = 1. Which of the following statements are true? a) f(t)dt = 3 b) f(t)dt : c) So f(t)dt = –1 d) , f(t)dt = 0 e) , f(t)dt = 2 -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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Solve both 24 and 25 please

25) Assume that f(t) is continuous on R. Assume also that g(x) and h(x) are differen- tiable on R. Let r9(x) H(2) = f(t) dt. h(x) g(x) ch(x) a) Then H(x) = Se f(t) dt + S) f(t) dt.. b) Then H(x) = Se) f(t) dt – S,@) f(t) dt. c) Then H(x) is differentiable and the FTC and the Chain Rule tells us that H'(x) = f(g(x))g'(æ) – f(h(x))h'(x). d) Then H(x) is differentiable and the FTC and the Chain Rule tells us that H'(x) = f(g(x))g'(x) + f(h(x))h'(x). e) H(x) is only differentiable if f is differentiable.
Transcribed Image Text:25) Assume that f(t) is continuous on R. Assume also that g(x) and h(x) are differen- tiable on R. Let r9(x) H(2) = f(t) dt. h(x) g(x) ch(x) a) Then H(x) = Se f(t) dt + S) f(t) dt.. b) Then H(x) = Se) f(t) dt – S,@) f(t) dt. c) Then H(x) is differentiable and the FTC and the Chain Rule tells us that H'(x) = f(g(x))g'(æ) – f(h(x))h'(x). d) Then H(x) is differentiable and the FTC and the Chain Rule tells us that H'(x) = f(g(x))g'(x) + f(h(x))h'(x). e) H(x) is only differentiable if f is differentiable.
24) Assume that f is a continuous and odd function. Assume that , f(t)dt = 4 and K f (t)dt = 1. Which of the following statements are true? a) f(t)dt = 3 b) f(t)dt : c) So f(t)dt = –1 d) , f(t)dt = 0 e) , f(t)dt = 2 -4
Transcribed Image Text:24) Assume that f is a continuous and odd function. Assume that , f(t)dt = 4 and K f (t)dt = 1. Which of the following statements are true? a) f(t)dt = 3 b) f(t)dt : c) So f(t)dt = –1 d) , f(t)dt = 0 e) , f(t)dt = 2 -4
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