v) 5 a)Write down the form of particularColutiun tofor each of the following g (x)9 (x)4 CoS6x - 9 sin 3 4+62.g (x) =6x-7x°8in 3 nt 9g (n = x cos x -5x inan2.Toe5xe+2e

Answered: 5 a) Write down the form of particular…

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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Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table. Reaction None Mild Strong Column Total Within 5 Minutes After 5 Minutes 391 65 44 500 66 341 93 500 Row Total 457 406 137 1000 Let's use the following notation for the various events: W= washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.)
For following function, select (on the same set of coordinate axes) a graph of function for c = 3, 1 and–3. [x²+c,x<0 -x2+c, x20 f(x) = -5 -4 -3 -2\-1. 5 3 4 2+ -3 2 + -5 -4 -3 -2 + 3 4 5 1 2 -2 -3 -5
Find a and B that solve the vector equation: « (1) + »(;) - () 23 a 3 34
2 5t f) ² Stdt
Use the forgmela f'lx)lim f(xth)-f(x) h-70 X+h
1 10. ) 2v6x– x² dx
) 2,486 + 143 t
yV1)
which part is A(1) and which is A(2)?
Q3) draw and find Df and Rf for y |x2 - 1

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5 a) Write down the form of particular Colutiun to こ for each of the following g (x) g (n) 4 CoS6x - 9 sin 3 7 76 2. g Cx) = 6x-7x°Sin 3 nt 9 g (n = e cos x -5x Sinan 2. T0e 5xe +2e