plz provide hzndwritten answer for part b
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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plz provide hzndwritten answer for part b
![(a) By using truth tables, check whether the propositions -(p ^ q) and "p v q are logically
equivalent or not?
(b) If for a right-angle triangle, for the acute angle e, sin e = 12 13 then, find the values for
cos e & tan e and show that - sin2 0 + cos2 e = 1 and sec2 e – tan2 0 = 1
(c) Find the value of the constant a, for which, the following function f(x) is continuous
(V1+ ах — V1 — ах
; -1< x < 0
f(x) =
2х + 1
0 < x<1
х — 2
(d) Find whether the following series are convergent or divergent
V14 + V 2 6 + V 3 8 + ...
d)
(b) The daily earning of a vendor for a period of 40 days are given
below
Daily earning
118-126 127-135
136-144
145-153 |154-162 |163-171 |172-180
(Rs.)
No. of days
3
8
12
5
4
Calculate Standard Deviation and coefficient of variation.
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd49e3527-3b1b-4f74-9523-be7dc829da45%2F6f01fccb-62f0-4406-9353-0048c09dc38b%2Fg8s1ty_processed.png&w=3840&q=75)
Transcribed Image Text:(a) By using truth tables, check whether the propositions -(p ^ q) and "p v q are logically
equivalent or not?
(b) If for a right-angle triangle, for the acute angle e, sin e = 12 13 then, find the values for
cos e & tan e and show that - sin2 0 + cos2 e = 1 and sec2 e – tan2 0 = 1
(c) Find the value of the constant a, for which, the following function f(x) is continuous
(V1+ ах — V1 — ах
; -1< x < 0
f(x) =
2х + 1
0 < x<1
х — 2
(d) Find whether the following series are convergent or divergent
V14 + V 2 6 + V 3 8 + ...
d)
(b) The daily earning of a vendor for a period of 40 days are given
below
Daily earning
118-126 127-135
136-144
145-153 |154-162 |163-171 |172-180
(Rs.)
No. of days
3
8
12
5
4
Calculate Standard Deviation and coefficient of variation.
2.
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