14n³-2n ===yd וח limn- 44n3 +5n babauod anis -2 a) and i dansavib b) iw sons por 0 wted 14 44 c) in the plane ? at the point (8.2.2) d) not exist surpoadue babayed

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
1
3
limn→ 44n³3 +5n
14n³-2n==³=yed
bobnuod noget odilo nove out but
a) 0 and Ji sudanomaavilb)irlw sonsupora c) R
2 The tangent to the curve x-yz+4 in the plane z-2 at the point (8,2,2)
a) 2y-x=-4 and
z=2
b) x+6y= 7 and z = 2
The set of points of the function Z = 100-X² - y² in the plane Z = 51 is
b) the circle witho.JUAY SIST
c) the circle with
Str=7
r = 7, c(0, 0, 51)
4
If fx(a,b) = fy(a, b) = 0
a) saddle point at the point
(a, b)
5 S12 of the series is En-1
a) 54
6
a) the circle with r = 7,
c(0,0)
8
b) local maximum value
at the point (a, b)
6 is
b) 72
-In, then Wyz =
If the function W= sin()cot z - In
,c(0,0,0)
and fxx fyy-fy >0 and fxx>0 at the point (a, b) then f has a
d) None of these
14
44
a) p(-8,), p (8,3) b) p(-8,,p(-8,
P(-8,,p(-8,
P (8,5), p(-8,5)
Р
The Cartesian coordinates of the point p(-6,-3) is
c) 2x - 2y = 6 and
2= 2
a) a+1
b) Ir
10 The range of the Sequence < (-1)"+1 > is
a) {-1}
b) {1}
Good Luck
Hrpe
c) local minimum value
at the point (a, b)
REL92
c) 66
7
The polar coordinates of the point p(-8,) when -2n ≤0 ≤ 2π are
(8), p (-8,
p (8,3), p(-8,
102 odi tudi odlody
a) (6,-2√3)
b) (-3,-3√3)
9
The geometric series Earn-1 converges to ......... if |r|<1
mista(1
1
a) csc² (z)cos() b) csc² (z)sin()-c) cos(-a) csc² (z)cos(3)
c) (3,3√3)
-a
d) not exist
c) [-1,1]
d) None of these
d) None of these
d) 48
d) None of these
2
d. (-3,3√3)
D
d) {-1,1)
المادة
اسم وتوقيع أساتذة ال
ا.د.سعد شاكر محمود أ.م.بشرى جارالله توفية
Transcribed Image Text:1 3 limn→ 44n³3 +5n 14n³-2n==³=yed bobnuod noget odilo nove out but a) 0 and Ji sudanomaavilb)irlw sonsupora c) R 2 The tangent to the curve x-yz+4 in the plane z-2 at the point (8,2,2) a) 2y-x=-4 and z=2 b) x+6y= 7 and z = 2 The set of points of the function Z = 100-X² - y² in the plane Z = 51 is b) the circle witho.JUAY SIST c) the circle with Str=7 r = 7, c(0, 0, 51) 4 If fx(a,b) = fy(a, b) = 0 a) saddle point at the point (a, b) 5 S12 of the series is En-1 a) 54 6 a) the circle with r = 7, c(0,0) 8 b) local maximum value at the point (a, b) 6 is b) 72 -In, then Wyz = If the function W= sin()cot z - In ,c(0,0,0) and fxx fyy-fy >0 and fxx>0 at the point (a, b) then f has a d) None of these 14 44 a) p(-8,), p (8,3) b) p(-8,,p(-8, P(-8,,p(-8, P (8,5), p(-8,5) Р The Cartesian coordinates of the point p(-6,-3) is c) 2x - 2y = 6 and 2= 2 a) a+1 b) Ir 10 The range of the Sequence < (-1)"+1 > is a) {-1} b) {1} Good Luck Hrpe c) local minimum value at the point (a, b) REL92 c) 66 7 The polar coordinates of the point p(-8,) when -2n ≤0 ≤ 2π are (8), p (-8, p (8,3), p(-8, 102 odi tudi odlody a) (6,-2√3) b) (-3,-3√3) 9 The geometric series Earn-1 converges to ......... if |r|<1 mista(1 1 a) csc² (z)cos() b) csc² (z)sin()-c) cos(-a) csc² (z)cos(3) c) (3,3√3) -a d) not exist c) [-1,1] d) None of these d) None of these d) 48 d) None of these 2 d. (-3,3√3) D d) {-1,1) المادة اسم وتوقيع أساتذة ال ا.د.سعد شاكر محمود أ.م.بشرى جارالله توفية
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