letd(x) be a dunction on (0,0o) satistyingthe dollowing:SCx) So on the interval (0,00)(x) So onthe interval (5,15)dix) co on the intervak (0,5)and (15,0)d"(x)J0 on the hterals (o,5) ard (10,00)8"x) co on thhe interval (5,1d(x) is ditlerentiabe at x=10dour true answer.a)it is concave down on (10,15)b) itis decreasine on (10,15)c) x=5 is acritical point oftd)5,t(5)) is on inplection Point orte)dis concave up on (o5)tH& has a horizontal osymplote9) (10,4(10)) is on inflection Pontott4d is horeasing on (515)

We have to go one by one option wise here.

let d(x) be adunction on (0, c) satistying the dollowfng: SCx) So on the interval (0,0) S(x) So onthe interval (5,15) d(x) co on the intervals (0,5)and (15,0) d"(x)J0 on the htenals (o,5) ard (10,00) 8"x) co on the interval (5,1) d(x) is ditterentiabe at x=10 dour true answer.

let d(x) be adunction on (0, c) satistying the dollowfng: SCx) So on the interval (0,0) S(x) So onthe interval (5,15) d(x) co on the intervals (0,5)and (15,0) d"(x)J0 on the htenals (o,5) ard (10,00) 8"x) co on the interval (5,1) d(x) is ditterentiabe at x=10 dour true answer.

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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Question

letd(x) be a dunction on (0,0o) satistying
the dollowing:
SCx) So on the interval (0,00)
(x) So onthe interval (5,15)
dix) co on the intervak (0,5)and (15,0)
d"(x)J0 on the hterals (o,5) ard (10,00)
8"x) co on thhe interval (5,1
d(x) is ditlerentiabe at x=10
dour true answer.
a)it is concave down on (10,15)
b) itis decreasine on (10,15)
c) x=5 is acritical point oft
d)5,t(5)) is on inplection Point ort
e)dis concave up on (o5)
tH& has a horizontal osymplote
9) (10,4(10)) is on inflection Pontott
4d is horeasing on (515)

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