Evaluate the following functions at the given values, and simplify the resultant expressions: a) For all real values of X, function f1 is defined by fi(X) 3D 7— 5Х Evaluate and simplify f1(8) b) For all real values of X, function f2 is defined by f2(X) = (X +4)(7 – 3X) Evaluate and simplify f2(-3) c) b is a fixed constant. For all real values of X, function f3 is defined by f3(X) = (b+ 4)(X – 2) - Evaluate and simplify f3(b – 2) d) For all real values of X (except for X = -1), function f4 is defined by 3 – 4X fa(X) = X +1 Evaluate and simplify f4(-2) e) a and c are fixed constants. For all real values of X, function fs is defined by fs(X) %3D X (а— с) — 4а + Зс - Evaluate and simplify fs(3) f) a is a fixed constant, and a + 0. For all real values of X (except for X = 0), function f6 is defined by 5X — 2а f6(X) = aX Evaluate and simplify f6(-2a)

Evaluate the following functions at the given values, and simplify the resultant expressions: a) For all real values of X, function f1 is defined by fi(X) 3D 7— 5Х Evaluate and simplify f1(8) b) For all real values of X, function f2 is defined by f2(X) = (X +4)(7 – 3X) Evaluate and simplify f2(-3) c) b is a fixed constant. For all real values of X, function f3 is defined by f3(X) = (b+ 4)(X – 2) - Evaluate and simplify f3(b – 2) d) For all real values of X (except for X = -1), function f4 is defined by 3 – 4X fa(X) = X +1 Evaluate and simplify f4(-2) e) a and c are fixed constants. For all real values of X, function fs is defined by fs(X) %3D X (а— с) — 4а + Зс - Evaluate and simplify fs(3) f) a is a fixed constant, and a + 0. For all real values of X (except for X = 0), function f6 is defined by 5X — 2а f6(X) = aX Evaluate and simplify f6(-2a)

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Description: Evaluate the following functions at the given values, and simplify the resultant expressions:a) For all real values of X, function fi is defined byf1(X) = 7 – 5XEvaluate and simplify f1(8)b) For all real values of X, function f2 is defined byf2(X) =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Evaluate the following functions at the given values, and simplify the resultant expressions:
a) For all real values of X, function fi is defined by
f1(X) = 7 – 5X
Evaluate and simplify f1(8)
b) For all real values of X, function f2 is defined by
f2(X) = (X + 4)(7 – 3X)
Evaluate and simplify f2(-3)
c) b is a fixed constant. For all real values of X, function f3 is defined by
f3(X) = (b+ 4)(X – 2)
Evaluate and simplify f3(b – 2)
d) For all real values of X (except for X = –
-1), function f4 is defined by
3 – 4X
f4(X) =
X +1
Evaluate and simplify f4(-2)
e) a and c are fixed constants. For all real values of X, function f; is defined by
f6(X) 3D X(а —с) — 4а + Зс
Evaluate and simplify f5(3)
f) a is a fixed constant, and a 0. For all real values of X (except for X = 0), function fe is defined by
5X — 2а
fo(X) =
aX
Evaluate and simplify f6(-2a)

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