(1) Prove whether or not the number 12.34. 000 2000 30000 40 100 2000 30000 40 100 2000 300004... is rational or irrational 2 sowe two equations: 1. | cos x| = = cos x +1 2. (=—=— (e²*-e²¹³))² + (± (e¹ + e^i^))² = ex
(1) Prove whether or not the number 12.34. 000 2000 30000 40 100 2000 30000 40 100 2000 300004... is rational or irrational 2 sowe two equations: 1. | cos x| = = cos x +1 2. (=—=— (e²*-e²¹³))² + (± (e¹ + e^i^))² = ex
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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![Prove whether or not the number 1234. 000 2000 30000 40 100 2000 30000 40 100 2000 300004... is rational or irrational.
(2) sowe two equations:
1. | cos x| = cos x +1
2. (=— (e²*-e`¯²x))² + ( ± (e¹* + e²^x))² = ex
2i
(3) Find
3. Find functions
$[4(x)]
* $(x)]
if $(x)= exp(x)
y (x)= lnx
(4) Find the regions of definition of the following functions:
f(x)= √arccos (Inx)
f(x)= log₂ (In (logs))
I
1
f(x) = √2/2² + 2ªrcos *x + √√x+0.5
f(x)
sin (cosx) t arecos
(1+x)
२४](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a86fa1a-13e1-49de-8006-018d9be4694c%2Fab003bbe-2d72-4b92-93a5-4bb49aead032%2Four5h28_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove whether or not the number 1234. 000 2000 30000 40 100 2000 30000 40 100 2000 300004... is rational or irrational.
(2) sowe two equations:
1. | cos x| = cos x +1
2. (=— (e²*-e`¯²x))² + ( ± (e¹* + e²^x))² = ex
2i
(3) Find
3. Find functions
$[4(x)]
* $(x)]
if $(x)= exp(x)
y (x)= lnx
(4) Find the regions of definition of the following functions:
f(x)= √arccos (Inx)
f(x)= log₂ (In (logs))
I
1
f(x) = √2/2² + 2ªrcos *x + √√x+0.5
f(x)
sin (cosx) t arecos
(1+x)
२४
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