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Problem 3: In the following problems, there is an argument done incorrectly. For each part, state the location of the error, and provide a one sentence description of the mistake. dr (e) This is a computation of (2a – 1)(2x + 1): dx B (17) dr 2x + 1 (Partial fractions decomposition) (2x – 1)(2x + 1) 2х — 1 (18) 1= A(2x +1) + B(2x – 1) → A= B 2' (Algebra) dr (19) (2x – 1)(2x + 1) dx 2.x + 1 (Plug in) 2.r dr dr (20) (Linearity) - 2.x 1 2x + 1 (21) In |2x – 1| – In |2x + 1|| (Integrate) 10 (22) = (In |1| – In |3| – In |– 1|+ In |1|) (Plug in) In 3 (23) (Simplify) 4

Problem 3: In the following problems, there is an argument done incorrectly. For each part, state the location of the error, and provide a one sentence description of the mistake. dr (e) This is a computation of (2a – 1)(2x + 1): dx B (17) dr 2x + 1 (Partial fractions decomposition) (2x – 1)(2x + 1) 2х — 1 (18) 1= A(2x +1) + B(2x – 1) → A= B 2' (Algebra) dr (19) (2x – 1)(2x + 1) dx 2.x + 1 (Plug in) 2.r dr dr (20) (Linearity) - 2.x 1 2x + 1 (21) In |2x – 1| – In |2x + 1|| (Integrate) 10 (22) = (In |1| – In |3| – In |– 1|+ In |1|) (Plug in) In 3 (23) (Simplify) 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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Problem 3: In the following problems, there is an argument done incorrectly. For each part, state the location of the error, and provide a one sentence description of the mistake. dr (e) This is a computation of (2a – 1)(2x + 1): dx B (17) dr 2x + 1 (Partial fractions decomposition) (2x – 1)(2x + 1) 2х — 1 (18) 1= A(2x +1) + B(2x – 1) → A= B 2' (Algebra) dr (19) (2x – 1)(2x + 1) dx 2.x + 1 (Plug in) 2.r dr dr (20) (Linearity) - 2.x 1 2x + 1 (21) In |2x – 1| – In |2x + 1|| (Integrate) 10 (22) = (In |1| – In |3| – In |– 1|+ In |1|) (Plug in) In 3 (23) (Simplify) 4
Transcribed Image Text:Problem 3: In the following problems, there is an argument done incorrectly. For each part, state the location of the error, and provide a one sentence description of the mistake. dr (e) This is a computation of (2a – 1)(2x + 1): dx B (17) dr 2x + 1 (Partial fractions decomposition) (2x – 1)(2x + 1) 2х — 1 (18) 1= A(2x +1) + B(2x – 1) → A= B 2' (Algebra) dr (19) (2x – 1)(2x + 1) dx 2.x + 1 (Plug in) 2.r dr dr (20) (Linearity) - 2.x 1 2x + 1 (21) In |2x – 1| – In |2x + 1|| (Integrate) 10 (22) = (In |1| – In |3| – In |– 1|+ In |1|) (Plug in) In 3 (23) (Simplify) 4
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