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Why do we need asymptotic notation? Describe about Big oh notation with its curve.

Answered Data Structure and Algorithm Asked on 2079 Exam

Sort the numbers 82,73,12,39,26,88,2,9,60,41 using shell sort.

Answered Data Structure and Algorithm Asked on 2079 Exam

Write a program to implement binary search.

Answered Data Structure and Algorithm Asked on 2079 Exam

Solve the Poisson’s equation ∇²f=3x²y over the square domain 0 ≤ x ≤ 3, 0 ≤ y ≤ 3 with f=0 on the boundary and h=1.

Answered Numerical Method Asked on 2079 Exam

Solve the following differential equation for 0 ≤ x ≤ 1 taking h=0.5 using Runge Kutta 4th order method.

y'(x) + y = 3x with y(0)=2

Answered Numerical Method Asked on 2079 Exam

Solve the following set of equations using Gauss Siedal method.

x + 2y + 3z = 4

6x + 4y + 5z = 16

5x + 2y + 3z = 12

Answered Numerical Method Asked on 2079 Exam

What is Gaussian integration formula? Evaluate the following integration using Gaussian integration three ordinate formula

₀∫¹ Sinx/x dx

Answered Numerical Method Asked on 2079 Exam

Estimate the integral value of following function from x =1.2 to 2.4 using Simpson’s 1/3 rule.

x 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6

f(x) 1.53 2.25 3.18 4.32 5.67 7.23 8.98 10.94 13.08

Answered Numerical Method Asked on 2079 Exam

Fit the quadratic function for the data given below using least square method.

x 1.0 1.5 2.0 2.5 3.0 3.5 4.0

f(x) 2.7 4 5.8 8.3 11.2 15 19

Answered Numerical Method Asked on 2079 Exam

Write down the program for solving ordinary differential equation using Heun’s method.

Answered Numerical Method Asked on 2079 Exam

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