3-t Let F(1) = | dt for -00 < I<+00 t2 + 16 (a) Find the value of z where F obtains its maximum value. T= 3 (b) Find the intervals over which F is only increasing or decreasing. Use interval notation using U for union and enter "none" if n Intervals where Fis increasing: (-0,3) Intervals where Fis decreasing: (3,00) (c) Find open intervals over which Fis only concave up or concave down. Use interval notation using U for union and enter "non Intervals where Fis concave up: (-x,-2)U(8,c) Intervals where Fis concave down: (-2,8)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3-t
Let F(x) =
dt for -00 < I< +00
t2 + 16
(a) Find the value of z where F obtains its maximum value.
I= 3
(b) Find the intervals over which F is only increasing or decreasing. Use interval notation using U for union and enter "none" if no interval.
Intervals where F is increasing: (-0,3)
Intervals where Fis decreasing: (3,00)
(c) Find open intervals over which F is only concave up or concave down. Use interval notation using U for union and enter "none" if no interval.
Intervals where Fis concave up:
(-x,-2)U(8,0)
Intervals where Fis concave down: (-2.8)
Transcribed Image Text:3-t Let F(x) = dt for -00 < I< +00 t2 + 16 (a) Find the value of z where F obtains its maximum value. I= 3 (b) Find the intervals over which F is only increasing or decreasing. Use interval notation using U for union and enter "none" if no interval. Intervals where F is increasing: (-0,3) Intervals where Fis decreasing: (3,00) (c) Find open intervals over which F is only concave up or concave down. Use interval notation using U for union and enter "none" if no interval. Intervals where Fis concave up: (-x,-2)U(8,0) Intervals where Fis concave down: (-2.8)
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