Q1 The hyperbola x? y? 16 9 is shifted 2 units to the right. Find the center, foci, vertices and sketch of the new hyperbola. Q2 Find the value of x and then check. 4coshx + sinhx = 4 Q3 Prove that sinh 3x = sinh³x + 3cosh?x sinhx = 3 sinhx + 4sinh³x Q4 Evaluate the following integrals cosh? (;) dx 1. -In2 2- | cosh(Inx) dx dy Q5 Find dx 1-y = 2x tanh/x 2 - y = (4x? – 1)csch(ln2x)
Q1 The hyperbola x? y? 16 9 is shifted 2 units to the right. Find the center, foci, vertices and sketch of the new hyperbola. Q2 Find the value of x and then check. 4coshx + sinhx = 4 Q3 Prove that sinh 3x = sinh³x + 3cosh?x sinhx = 3 sinhx + 4sinh³x Q4 Evaluate the following integrals cosh? (;) dx 1. -In2 2- | cosh(Inx) dx dy Q5 Find dx 1-y = 2x tanh/x 2 - y = (4x? – 1)csch(ln2x)
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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Transcribed Image Text:Q1 The hyperbola
x? y?
1
16
is shifted 2 units to the right. Find the center, foci, vertices
and sketch of the new hyperbola.
Q2 Find the value of x and then check.
4coshx + sinhx = 4
Q3 Prove that
sinh 3x = sinh³x + 3cosh?x sinhx = 3 sinhx + 4sinh³x
Q4 Evaluate the following integrals
cosh? (÷) dx
-In2
1
2- cosh(Inx) dx
dy
Q5 Find
dx
1- y = 2Vx tanh/x
2 - y = (4x2 – 1)csch(ln2x)
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