Find all values of a, b and c such that the function if z1 (-1)2 2, g(x) = if 1 is continuous at r = 1. Let f(r) be a continuous function on the set of real numbers R. Suppose that -1

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Find all values of a, b and c such that the function
ar+br2+er+1
(-1)2
if r1
g(x) =
12,
if = 1
is continuous at r = 1.
Let f(x) be a continuous function on the set of real numbers R.
Suppose that
-1< f(x) < 0,
for every real number r. Show that there is we (0, 1) such that
P(w) = 2f(w) + 3w.
Transcribed Image Text:Find all values of a, b and c such that the function ar+br2+er+1 (-1)2 if r1 g(x) = 12, if = 1 is continuous at r = 1. Let f(x) be a continuous function on the set of real numbers R. Suppose that -1< f(x) < 0, for every real number r. Show that there is we (0, 1) such that P(w) = 2f(w) + 3w.
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