Questions with Complete Solutions - Hamro CSIT

What is an application of numerical integration? Find the value of the integral
\[
\int_1^2 \frac{e^x}{x} \, dx
\]
using Simpson’s \( \frac{3}{8} \) rule with \( n = 6 \).

Not Answered Numerical Method Asked on 2081 Exam

What is numerical differentiation? The table below gives the values of distance travelled by a vehicle at various time interval, estimate the velocity and acceleration at x = 4.

Time(x) 1 2 4 8 10

Distance(y) 0 1 5 21 27

Not Answered Numerical Method Asked on 2081 Exam

What is regression analysis? Fit a second order polynomial for the following data values.

x 2 4 6 8 10

y 1.4 2.0 2.4 2.6 2.8

Not Answered Numerical Method Asked on 2081 Exam

Consider the following data points estimate the f(0.6) using Newton’s interpolation formula.

x 0.1 0.2 0.3 0.4 0.5

f(x) 2.68 3.04 3.38 3.69 3.97

Not Answered Numerical Method Asked on 2081 Exam

Write an algorithm and program to implement Lagrange interpolation method.

Not Answered Numerical Method Asked on 2081 Exam

What are the limitations of direct methods for solving a system of linear equations? How Gauss Seidel method differs from Jacobi iteration? Solve the following system of linear equation using Jacobi iteration method.

2x-7y-10z=-17

5x+y+3z=14

x+10y+9z=7

Not Answered Numerical Method Asked on 2081 Exam

What are inherent errors? Derive the Newton Raphson method for solving non-linear equation and using this method solve

\[x^2 – 5x + 6 = 0\]. Calculate upto 3 decimal places.

Not Answered Numerical Method Asked on 2081 Exam

The density of aluminum is 2.70 g/cm3 and its molecular weight is 26.98 g/mole.

a. Calculate the Fermi energy
b. If the experimental value of EF is 12 eV, What is the electron effective mass in aluminum? Aluminum is trivalent.

Not Answered Physics Asked on 2079 Exam

An oscillating block of mass 250 g takes 0.15 sec to move between the endpoints of the motion, which are 40 cm apart. Find (a) frequency and (b) amplitude of the motion, and.(c) force constant of the spring.

Not Answered No Subject Asked on 2081 Exam

What do you understand by design of experiments? Give the layout of a Latin Square Design. Explain why the number of treatments tested in a Latin Square Design should not be less than 3?

Not Answered Statistics II Asked on 2081 Exam

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