Q Is the equation e + x cos x -if x >02 = 0 has real roots?.2х +1Q. Given f(x)= {Зх - 1if x < 0a.Determine f-(-2,1)).b.Discuss the continuity of f(x).c.Is the graph of f(x) connected? PWC?Justify your answer.Q. Given M = {(x, y), 2² – 4y2 > 1} ,N = {(x, y), x² – 4y? < 1}.(a) Is M connected? Pathwise connected? Justify.(b) Is N connected? Pathwise connected? Justify.(c) Is N = M? prove your answer.Q.Prove or disprove the following:If A UB is connected set,then either A or B is connected set.||

To show there are real roots, just use intermediate value theorem on appropriate interval.

Answered: Q Is the equation e + x cos x 2 = 0 has…

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Q Is the equation e + x cos x 2 = 0 has real roots?. -

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

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Question

Q Is the equation e + x cos x -
if x >0
2 = 0 has real roots?.
2х +1
Q. Given f(x)= {
Зх - 1
if x < 0
a.Determine f-(-2,1)).
b.Discuss the continuity of f(x).
c.Is the graph of f(x) connected? PWC?
Justify your answer.
Q. Given M = {(x, y), 2² – 4y2 > 1} ,N = {(x, y), x² – 4y? < 1}.
(a) Is M connected? Pathwise connected? Justify.
(b) Is N connected? Pathwise connected? Justify.
(c) Is N = M? prove your answer.
Q.Prove or disprove the following:
If A UB is connected set,
then either A or B is connected set.
||

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