Find all possible (real number) values of p, q, and r, if any, which result in the following function being continuous on (-∞, ∞): -00, x2 -p if æ < 2 x-2 px2 + x + q sin(æ-3) f(x) if 2 < x < 3 + qx + r__if x > 3 8(x-3)
Find all possible (real number) values of p, q, and r, if any, which result in the following function being continuous on (-∞, ∞): -00, x2 -p if æ < 2 x-2 px2 + x + q sin(æ-3) f(x) if 2 < x < 3 + qx + r__if x > 3 8(x-3)
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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Transcribed Image Text:Find all possible (real number) values of p, q, and r, if any, which result in the following function being continuous on (-o, 0):
if x < 2
x-2
px2 + x + q
sin(x-3)
f(x) =
if 2 < x < 3
+ qx + r
__if x > 3
8(г —3)
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