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TIME : 3 Hrs. Max. Marks: 75 M
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[B19 BS 1201]
I B. Tech II Semester (R19) Regular Examinations
MATHEMATICS -11
(Common to CE, EEE & ME)
MODEL QUESTION PAPER
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Answer ONE Question from EACH UNIT
All questions carry equal marks
UNIT-I CO KL
- a) Using Newton’s forward difference interpolation formula find Y (3), from the following table
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X 0 5 10 15 20 25 CO3 K2
Y 7 11 14 18 24 32
b) Find the interpolating polynomial f(x) for the data of the following table
X 0 1 4 5
f(x) 4 3 24 39 o3 Kl
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(OR)
- a) Using Gauss backward formula, find f(42), from the following table
X 20 25 30 35 40 45 CO4 K2
f(x) 354 332 291 260 231 204
b) Using Lagrange’s interpolation formula find Y (10) from the following table--- Content provided by FirstRanker.com ---
X 5 6 9 11 CcO4 K3
Y 12 13 14 16
UNIT-II
- a) Find the cube root of 41 using Newton-Raphson method. CO5 K2
b) Evaluate ?oz X3ii+1 by using Simpsons 1/3™ rule with h = 0.25 CO5 K2
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(OR)
- a) Find a real root of the equation x log10x=1.2 by Regula-false method CO5 K2 correct to three decimal places
b) Evaluate y(0.8) using Runge Kutta method given
y' =(x+y)², y(0.4) =0.41 COS 3
UNIT-III
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- a) If U=tan?¹(x³/y³) and x U? +y U? =sin 2U, prove that col K2
X²U? + 2xy U? + y²U? =2cos 3U sinU.
b) If u=x²-2y², v=2x²-y² where x=rcos?, y=rsin? then show that ?(u,v)/?(r,?) =6r³ sin 2?. col K2
(OR)
- a) Expand x²y + 3y -2 in powers of (x-1) and (y+2) using Taylor's theorem. Ccol1 K2
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b) By using the method of differentiation under the integral sign prove that ?08 tan?¹(ax)/x dx = log(1+a), a=0. COl1 K3
UNIT-IV
- a) Solve x(y-z)p+y(z-x)q=z(x-y). CO2 K2
b) solve (D²-DD'-2D'²)z=(y-1)e?. co2
(OR)
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- a) Solve x(y-z)p+y(z-x)q=2z(x-y). CcO2
b) solve (D²+D'-1)(D+2D'-3)z=3x+6y+4. co2 K2
UNIT-V
- a) Obtain the solution of ?u/?t = c² ?²u/?x² by the method of separation of variables. CO6 K2
b) A tightly stretched elastic string of length L, fixed at its' end points is initially in a position given by u(x, 0) = µsin(3px/L). If it is released from rest, find the displacement at any subsequent time. CO6 K3
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(OR)
- a) Obtain the solution of ?u/?t = c² ?²u/?x² by the method of separation of variables. co6 K2
b) A bar of conducting material of length l units is initially kept at a temperature sin(px/l). Find the temperature at any subsequent time if the ends of the bar are held at zero temperature. CO6 K3
[B19ME1202]
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This download link is referred from the post: JNTUK B.Tech R19 2020 Model Question Papers || JNTU kakinada (All Branches)
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