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Advanced Engineering Mathematics
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 handwritten answer for part d

(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.
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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