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 1} ,N = {(x, y), x² – 4y?

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

Extracted text: 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.="">

Jun 05, 2022

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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 1} ,N = {(x, y), x² – 4y?

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