Use a separate sheet of paper to show your work. What value(s) of c, if any, will satisfy the IVT for the given function f and the given value w, on the given interval [a, b]. Sketch the graph. (*tip: follow the example above) 1. f(x) = x² - 1 2 ,w = 2, (-1,2) %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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ACTIVITY 2
Use a separate sheet of paper to show your work.
What value(s) of c, if any, will satisfy the IVT for the given
function f and the given value w, on the given interval [a, b].
Sketch the graph. (*tip: follow the example above)
1. f(x)= x² – 1
,w = 2, (-1,2)
2. f(x) = x² + 5x – 6 ,w = 4, (-1,2)
Transcribed Image Text:ACTIVITY 2 Use a separate sheet of paper to show your work. What value(s) of c, if any, will satisfy the IVT for the given function f and the given value w, on the given interval [a, b]. Sketch the graph. (*tip: follow the example above) 1. f(x)= x² – 1 ,w = 2, (-1,2) 2. f(x) = x² + 5x – 6 ,w = 4, (-1,2)
1. Determine if the following functions are continuous at the
given value of x.
(a) f(x) = Vx – 1 at x = 4.
(b) f (x) = 3x² + 2x + 1 at x = -2
V4-x
(c) g(x) =
at x=0
if x < 4
if 24
(d)f(x)
|(x – 4)² + 3
Transcribed Image Text:1. Determine if the following functions are continuous at the given value of x. (a) f(x) = Vx – 1 at x = 4. (b) f (x) = 3x² + 2x + 1 at x = -2 V4-x (c) g(x) = at x=0 if x < 4 if 24 (d)f(x) |(x – 4)² + 3
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