- Let f(x) = (x5 + x² + 1)e³+1 and g(x) = e³+1, (a) Draw a rough sketch of the graphs of the functions y = f(x), y = g(x) and the region bounded between y = f(x), y g(x) and vertical lines x = 0 and x = You can use any online graphing tools you want. (b) Find the area of the region bounded between y = f(x), y = g(x) and vertical lines x = 0 and x = 12.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 1. Let ƒ(x) = (x5 + x² + 1)ex³+¹ and g(x) = eï³+¹¸
=
(a) Draw a rough sketch of the graphs of the functions y f(x), y = g(x) and the region
bounded between y = f(x), y = g(x) and vertical lines x = 0 and x = 1. You can use
any online graphing tools you want.
(b) Find the area of the region bounded between y = f(x), y = g(x) and vertical lines x = 0
and x = /1/2.
Explain your steps.
Transcribed Image Text:Question 1. Let ƒ(x) = (x5 + x² + 1)ex³+¹ and g(x) = eï³+¹¸ = (a) Draw a rough sketch of the graphs of the functions y f(x), y = g(x) and the region bounded between y = f(x), y = g(x) and vertical lines x = 0 and x = 1. You can use any online graphing tools you want. (b) Find the area of the region bounded between y = f(x), y = g(x) and vertical lines x = 0 and x = /1/2. Explain your steps.
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