2. (a) How does Desmos help with solving Continuity Problems? Can this tool be used to help with proving Discontinuity as well? If yes, please describe how? (b)Use the site "desmos.com" to answer the following questions. Create graphs of three functions below to determine if they are continuous or discontinuous. Take a screen shot of each, save in a word document. i.Cos(3x) (ii) 3Tan(2x+1) (iii) Sin (3x+1) b. Determine the discontinuities of the following functions and state why the function fails to be continuous at those points. Check your answers by using a graphing calculator (such as Desmos) i.F(x) = x²-10x+2 x-2 ii.F(x)=x³ - x² + 3

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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2. (a) How does Desmos help with solving Continuity Problems? Can this tool be used to help with
proving Discontinuity as well? If yes, please describe how?
(b)Use the site "desmos.com" to answer the following questions.
Create graphs of three functions below to determine if they are continuous or discontinuous. Take a
screen shot of each, save in a word document.
i.Cos(3x)
(ii) 3Tan(2x+1)
(iii) Sin (3x+1)
b. Determine the discontinuities of the following functions and state why the function fails to be
continuous at those points. Check your answers by using a graphing calculator (such as Desmos)
i.F(x) =
x²-10x+2
x-2
ii.F(x)=x³ - x² + 3
Transcribed Image Text:2. (a) How does Desmos help with solving Continuity Problems? Can this tool be used to help with proving Discontinuity as well? If yes, please describe how? (b)Use the site "desmos.com" to answer the following questions. Create graphs of three functions below to determine if they are continuous or discontinuous. Take a screen shot of each, save in a word document. i.Cos(3x) (ii) 3Tan(2x+1) (iii) Sin (3x+1) b. Determine the discontinuities of the following functions and state why the function fails to be continuous at those points. Check your answers by using a graphing calculator (such as Desmos) i.F(x) = x²-10x+2 x-2 ii.F(x)=x³ - x² + 3
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