(6) Given that In= tan" x dx, show that, for n 2 2. %3D In- In-2 = %3D n- 1
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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
Solve detailly the question 9ii below
Transcribed Image Text:9.
(i) Sketch on the same diagram the curves
C1
and
C2,
defined
by the polar equations
C1: r = 2 sec 0
6.
C2: r=.
1 + cos e
VE AO
(a) State the polar coordinates of the points of intersection of c, with the initial line
(b) State the palar coordinates of the points of intersection of c2 with the initial line and the half lines
(c) Find the polar coordinates of the points of intersection of
C1
and C2.
TC
4
Given that In = | tan" x dx, show that, for n 2 2.
%3D
FOKAM MES
In - In-2 =
%3D
n - 1
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