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2² + 4x + 5 (a) Given that f(x)= explain whether f(x) is a proper rational function or improper rational function (Word limit 25). a² + 3x + 2 (b) Factorise z? + 3x + 2. (c) Given that A f(x) = Q(x)+ B a+1 * + 2 and Q(x) is a polynomial of degree zero, and A and B are constants, find Q(x) and the values of A and B. (d) Show that f(x) dæ = 2 + In(~).

2² + 4x + 5 (a) Given that f(x)= explain whether f(x) is a proper rational function or improper rational function (Word limit 25). a² + 3x + 2 (b) Factorise z? + 3x + 2. (c) Given that A f(x) = Q(x)+ B a+1 * + 2 and Q(x) is a polynomial of degree zero, and A and B are constants, find Q(x) and the values of A and B. (d) Show that f(x) dæ = 2 + In(~).

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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x2 + 4x + 5 (a) Given that f(x) explain whether f(x) is a proper rational function or improper rational function (Word limit 25). x2 + 3x + 2 (b) Factorise x² + 3x + 2. (c) Given that A f(x) = Q(x)+ x +1 B I + 2° and Q(x) is a polynomial of degree zero, and A and B are constants, find Q(x) and the values of A and B. (d) Show that 9 f(x) dæ = 2 + ln(G).
Transcribed Image Text:x2 + 4x + 5 (a) Given that f(x) explain whether f(x) is a proper rational function or improper rational function (Word limit 25). x2 + 3x + 2 (b) Factorise x² + 3x + 2. (c) Given that A f(x) = Q(x)+ x +1 B I + 2° and Q(x) is a polynomial of degree zero, and A and B are constants, find Q(x) and the values of A and B. (d) Show that 9 f(x) dæ = 2 + ln(G).
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