Determine whether the statement is true or false.Suppose that g (x) =f (x) sec x,wheref(0) = 8 andf' (0) = –3. Thenf (h) sec h– f (0)g' (0) = lim-h→0h8 (sec h – 1)= limh→0hd= 8– [sec x]-0dx= 8 sec 0 tan 0= 0TrueO False

Answered: Suppose that g (x) = f (x) sec x,where…

Suppose that g (x) = f (x) sec x,where f(0) = 8 and f' (0) = -3. Then %3D %3D f (h) sec h– f (0) g' (0) = lim h→0 h 8 (sec h- 1) = lim- h→0 h = 8– sec x|,-0 dx

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

Determine whether the statement is true or false.
Suppose that g (x) =f (x) sec x,wheref(0) = 8 and
f' (0) = –3. Then
f (h) sec h– f (0)
g' (0) = lim-
h→0
h
8 (sec h – 1)
= lim
h→0
h
d
= 8– [sec x]-0
dx
= 8 sec 0 tan 0
= 0
True
O False

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