Q#2: (i) Find the absolute maximum and minimum values of each function on the given interval. Then graph the function. Identify the points on the graph where the absolute extrema occur, and include their coordinates. g(x) = -/5 – x2, -V5 < x < 0 %3D h(x) = Vx,-1 < x< 8 %3D (ii) For what values of a, m and b does the function x = 0 0 < x < 1 1< x < 2 3 f(x) x++3x + a тх + b Satisfy the hypotheses of the mean value theorem on the interval [0, 2].

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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PLEASE, SOLVE BOTH PARTS:

Q#2: (i) Find the absolute maximum and minimum values of each function on the given interval.
Then graph the function. Identify the points on the graph where the absolute extrema occur, and
include their coordinates.
g(x) = -/5 – x², –V5 < x < 0
h(x) = Vx, –1<x< 8
(ii) For what values of a, m and b does the function
x = 0
0 < x < 1
1< x < 2
f(x)
-x² + 3x + a
тx + b
Satisfy the hypotheses of the mean value theorem on the interval [0, 2].
Transcribed Image Text:Q#2: (i) Find the absolute maximum and minimum values of each function on the given interval. Then graph the function. Identify the points on the graph where the absolute extrema occur, and include their coordinates. g(x) = -/5 – x², –V5 < x < 0 h(x) = Vx, –1<x< 8 (ii) For what values of a, m and b does the function x = 0 0 < x < 1 1< x < 2 f(x) -x² + 3x + a тx + b Satisfy the hypotheses of the mean value theorem on the interval [0, 2].
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