complete the following table for y = f(x) = 3x² and the indicated value of a = 2h 201f(a+h)-f(a)HiltOA 21OB. 12Oc.oOD. 10-0.1 -0.01 -0.0010 0.001 0.01 0.1???→?+ ?? ?

Answered: Image /qna-images/answer/7014b036-8ef6-4193-82c5-17db2f1c7e2b.jpg

Answered: complete the following table for y =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Question

complete the following table for y = f(x) = 3x² and the indicated value of a = 2
h 201
f(a+h)-f(a)
Hilt
OA 21
OB. 12
Oc.o
OD. 10
-0.1 -0.01 -0.0010 0.001 0.01 0.1
?
?
?
→?+ ?
? ?

Expert Solution

Step 1: The numerical differentiation formula:

$H e r e space f left parenthesis x right parenthesis equals 3 x squared comma space a n d space a equals 2. f left parenthesis 2 right parenthesis equals 12 H e n c e space fraction numerator f left parenthesis a plus h right parenthesis minus f left parenthesis a right parenthesis over denominator h end fraction equals fraction numerator 3 left parenthesis 2 plus h right parenthesis squared minus 12 over denominator h end fraction equals fraction numerator 12 h plus h squared over denominator h end fraction equals 12 plus h space i f space h not equal to 0.$