Q1: Solve the inequalities and show the solution set on the real line : -1> } or - (- 1) >} (x - 1) <4 1- 2. 1 x2-x - 22o (x- 2) < (x- 6) 5x – 3 S7-3x

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Exam.pdf
Al-Iraqia University
College of Engineering
Department : Network Engineering Dep.
Exam: Math I
Stage : 1" stage
Date: 21/2/2021
Examiner: A.L Ishraq H. Naser
Time: 2 hours
Q1: Solve the inequalities and show the solution set on the real line :
-1> or- (-1) >}
(x - 1) <4
2.
1-
x - x - 22o
{(x – 2) < } (x – 6)
3.
4-
5x – 3 <7- 3x
5.
Q2: Answer one only :
A- If a, b, and e are constants and what can you say about the y = ax+ bx +c?
graph of the equation In particular, how would you go about sketching the curve y = 21+4x?
B- Find the equation of the straight line through P(7.5) perpendicular to the straight line AB whose
equation is 3x + 4y -16 = 0. Calculate the distance of the perpendicular from P and AB.
Q3: Evaluate the following limits : (solve 4 only)
x+ Sinx
1+ Sinx
a) lim
b) lim
* 2x +5
x.Sinx
e) lim
140 tan 3x
d) lim
1 (x + Sinx)'
1- Vx
Vx+1-2x
e) lim
al 1-x
S) lim
Q4: Discuss the continuity of :
X+ for
for Osx<1
for 1sx<2
S(x)=
-1
for
x=2
for
x>2
II
Transcribed Image Text:Exam.pdf Al-Iraqia University College of Engineering Department : Network Engineering Dep. Exam: Math I Stage : 1" stage Date: 21/2/2021 Examiner: A.L Ishraq H. Naser Time: 2 hours Q1: Solve the inequalities and show the solution set on the real line : -1> or- (-1) >} (x - 1) <4 2. 1- x - x - 22o {(x – 2) < } (x – 6) 3. 4- 5x – 3 <7- 3x 5. Q2: Answer one only : A- If a, b, and e are constants and what can you say about the y = ax+ bx +c? graph of the equation In particular, how would you go about sketching the curve y = 21+4x? B- Find the equation of the straight line through P(7.5) perpendicular to the straight line AB whose equation is 3x + 4y -16 = 0. Calculate the distance of the perpendicular from P and AB. Q3: Evaluate the following limits : (solve 4 only) x+ Sinx 1+ Sinx a) lim b) lim * 2x +5 x.Sinx e) lim 140 tan 3x d) lim 1 (x + Sinx)' 1- Vx Vx+1-2x e) lim al 1-x S) lim Q4: Discuss the continuity of : X+ for for Osx<1 for 1sx<2 S(x)= -1 for x=2 for x>2 II
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