D:-No general solution exists
Correct Answer:- Option-A
Question86:-Stirling'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 corresponds the functional values “f (-1) = 9, f(0)=5,
(2) = 3,1(5) = 15 ।5
^ 3 +^ 2424145.
x*2-3x+5*
x*444x%3 +5x*245°
ലി
Correct Answer:- Option-B
Question88:-The solution of the integral equation ‘Phi (x) = x+ int_O*x (Xi -x) Phi (Xi) dXi* is
A:-‘cos x°

>

B
"0
0

0:- 5९८५४
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:a circle
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
‏3ھ‎
‎8:-1
‎C:-6
‎D:-9
‎Correct Answer:- Option-A
Question92:-A particle of unit mass is moving under gravitational field, along the cycloid ‘x = phi - sin phi, y =1 + cos phi* .
Then the Lagrangian for motion is
A:~ phi*2 (1+cos phi) - g (1- cos phi)”
8: phi*2 (1-cos phi) + g (1+ cos phi)”
(00/72 (1-005 phi) - g (1+ cos phi)*
D:- 2phi*2 (1-cos phi) - g (1+ cos phi)*
Correct Answer:- Option-C
Question93:-°L*-1 [(1)(s (5^2+2^2))] is
A:-(1)/(a%2) (1- cos at)”
(2 sin h t)/(t)’
©: (1)/(2^2) (e* {at} -1)°
D:-*(1)/(a*2) sin h at®
Correct Answer:- Option-A
Question94:-" int_0*00 e*{-x*2}dx* is
(1/2:
(6/2)
(sqrt(pi))/(2)°
:-* «sqrt(pi)”
Correct Answer:- Option-C
Question95:-Using Fourier series, representing *x® in the interval *[-pi, pi]’, the sum of the series *1-(1)/(3) + (1)/(5) -
(1)/(7) + 0 is