hout using a calculator, determine th 8.r (i) dr; 9 J2+8r - 9
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
ANSWER ALL QUESTIONS A AND B WITH
DETAILED CALCULATIONS ON A PAPER!
THANKS!
Transcribed Image Text:1. (a) Without using a calculator, determine the following integrals:
8.T
dr.
(ii) 2+8r+41
8r
(1)/
r2 + 8x-9
(b) Let P(r, y) be a general point on the circle r + y? = 4 and let S be the point
(2,0) as shown in the sketch below.
P(r,y)
Q(r, 0)
S(2,0)
(i) Write down expressions for r and y in terms of 0. Hence, show that the area
A of the shaded region R is
A = 20 – sin 20.
(ii) Use Newton's method to determine the value of 6 (in radians, to three decimal
places) such that A = 1.
(Newton's method for solving (r) = 0: z,+1 = In
f(In)
for n = 0, 1, 2,...)
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