Q1) Show that: (a) (1+x)° =1+6x :(cosx) = dx = -sinx (e)읊 = E d ( V) = (d) V1+ tan x = 1+;x dx 2 vx
Q1) Show that: (a) (1+x)° =1+6x :(cosx) = dx = -sinx (e)읊 = E d ( V) = (d) V1+ tan x = 1+;x dx 2 vx
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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![Q1) Show that:
(a) (1+x)° =1+6x
(b)
:(cosx):
= -sinx
dx
(e) (V) =
d
1
1
( VI) =
(d)
/1+ tan x = 1+:
dx
2 Vx
2x2+2x+1
x² –1
Q2) Find the asymptotes for the following functions : f(x)=-
g(x) =
1+x2
2x
V1+cos 2x
(1) lim,- 4(x-
|4-x2|
Q3) Find:
(2) limx→-2- (x+ 2)
2-x
Q4) Find the equation of the normal to the curve [y+x(1+y)-4] at point (2,1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32e63890-2216-4adc-951c-47017dcde861%2Fde811c40-8c92-4a47-9c64-52863b94d9da%2Fr97wou_processed.png&w=3840&q=75)
Transcribed Image Text:Q1) Show that:
(a) (1+x)° =1+6x
(b)
:(cosx):
= -sinx
dx
(e) (V) =
d
1
1
( VI) =
(d)
/1+ tan x = 1+:
dx
2 Vx
2x2+2x+1
x² –1
Q2) Find the asymptotes for the following functions : f(x)=-
g(x) =
1+x2
2x
V1+cos 2x
(1) lim,- 4(x-
|4-x2|
Q3) Find:
(2) limx→-2- (x+ 2)
2-x
Q4) Find the equation of the normal to the curve [y+x(1+y)-4] at point (2,1).
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