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Question 1.[5, 10, 8 marks] Evaluate the following integrals: 1 (a) 9 (HINT: Sesc2 0 = - cot 0) dr.

Question 1.[5, 10, 8 marks] Evaluate the following integrals: 1 (a) 9 (HINT: Sesc2 0 = - cot 0) dr.

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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* UWC iKamva : MAT 105 YR 2021 x K Classtest4_Upload.pdf G Question 1.[5, 10, 8 marks] Evalua x b Answered: Subject: EnggMath 4 + A ikamva.uwc.ac.za/access/content/attachment/1c367e3f-bfb9-4455-998e-ee5f4a04fa55/Assignments/ab35fa8a-4636-4984-88f4-d271a819cd84/Classtest4_Upload.pdf Classtest4_Upload.pdf 2 / 3 + | 107% 1. INTEGRATION TECHNIQUES Question 1.[5, 10, 8 marks] Evaluate the following integrals: 1 dr. (HINT: (csc? 0 = – cot 0) - 6 (D) 1+r* (b) dr. (e) F+8 (c) dr. 1 (HINT: Note that r +2 is a factor of r3 + 8) 2. FUNDAMENTAL THEOREM OF CALCULUS Question 2.[3 marks] Find the derivative of the following indefinite integral or partial area function: I(r) = sin t2 dt Question 3.[3 marks] Use an indefinite integral to define a function F(x) having derivative ecos r for all r and satisfying F(-2) = 0. 3. APPLICATIONS OF FTÇ Question 4. [4 marks] Prove that the improper integral ap A Classtest4_Upload.pdf Show all 09:26 O Type here to search 98% 16°C ENG 2021/10/29 II
Transcribed Image Text:* UWC iKamva : MAT 105 YR 2021 x K Classtest4_Upload.pdf G Question 1.[5, 10, 8 marks] Evalua x b Answered: Subject: EnggMath 4 + A ikamva.uwc.ac.za/access/content/attachment/1c367e3f-bfb9-4455-998e-ee5f4a04fa55/Assignments/ab35fa8a-4636-4984-88f4-d271a819cd84/Classtest4_Upload.pdf Classtest4_Upload.pdf 2 / 3 + | 107% 1. INTEGRATION TECHNIQUES Question 1.[5, 10, 8 marks] Evaluate the following integrals: 1 dr. (HINT: (csc? 0 = – cot 0) - 6 (D) 1+r* (b) dr. (e) F+8 (c) dr. 1 (HINT: Note that r +2 is a factor of r3 + 8) 2. FUNDAMENTAL THEOREM OF CALCULUS Question 2.[3 marks] Find the derivative of the following indefinite integral or partial area function: I(r) = sin t2 dt Question 3.[3 marks] Use an indefinite integral to define a function F(x) having derivative ecos r for all r and satisfying F(-2) = 0. 3. APPLICATIONS OF FTÇ Question 4. [4 marks] Prove that the improper integral ap A Classtest4_Upload.pdf Show all 09:26 O Type here to search 98% 16°C ENG 2021/10/29 II
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