D:-No general solution exists
Correct Answer:- Option-A
Question86:-5tirling’s formula is the of Gauss' forward and backward formulae.
A:-Arithmetic mean
B:-Geometric mean
C:-Harmonic mean
D:-None of the above
Correct Answer:- Option-A
Question87:-The interpolating polynomial of the highest degree which comresponds the functional values *f (-1} = 9, f(0)=5,
(2) न 3, हि) न 15 15
42312125
B:-"x"2-3x+5"
0೨೫743 ಹ73 -5(7257
0:95
Correct Answer:- Option-B
Question88:-The solution of the integral equation ` गि {x} = x+ int_0~x (Xi -x} Phi (Xi} dXi* 15
‏لومم "يم‎

0:- 580
Correct Answer:- Option-C
Question89:-The minimizing curve must satisfy a differential equation called
A:-Lagrange's equation
B:-Euler-Lagrange equation
C:-Gauss equation
D:-None of the above
Correct Answer:- Option-B
Question90:-A solid figure of revolution, for a given surface area, has maximum volume is in the case of
A:-acircle
B:-a sphere
C:-an ellipse
D:-a parabola
Correct Answer:- Option-B
Question91:-A rigid body moving in space with one point fixed has degree of freedom
ಹಿ
8:-1
C:-6
0:-9
Correct Answer:- Option-A
Question92:-A particle of unit mass is moving under gravitational field, along the cycloid ' = phi - sin phi, y =1 + cos phi* .
Then the Lagrangian for motion 15
+2 (1+cos phi} - g (1- cos phi}
2 (1-605 phi} + g (1+ cos phi)®
2 (1-cos 001) - 6 (1-- ೧೦5 ೧0/1)”
D:-*2phi~2 (1-605 001) - 6 (1-- ೧೦5 phi}
Correct Answer:- Option-C
Question93:-"L~-1 [(1)/(5 (572--872)17 ‏ىا‎
‎&:- ` {1)/^2) (1. ८05 वेः
B:-*(2 sin h ) 07
௩62) ஹ்‌
;-`(1)/(872) 57 ೧೩೯
Correct Answer:- Option-A
Question94:-"int_0~00 e™{-x"2}dx" 5
ക (1/2
‏(۸2/(م)'-:‎
‎27 (50ಗ:(0/))/(2)
0: -वा (णी)
Correct Answer:- Option-C
Question95:-Using Fourier series, representing x" in the interval *[-pi, pil*, the sum of the series "1-)1(/)3( + )1(/)5( -
)1(/)7( +