Create an external CSS file for this form. This CSS file should select the font size of 14 point italics for all the labels; font colour should be red for the headings and dark blue for the normal text. The background colour of the form should be light green.

Create an online membership form for an Online Library using HTML. The form should ask for the following information:

The Name of the member

Aadhaar Number

Type of Membership (Student/Faculty/Staff/Other to be chosen from a drop down list)

Year of membership

Were you a member earlier? Yes/No

Description of services expected from the Library

Explain the features of the following technologies - Blogging, Mashups and Rich Internet Applications. How are these technologies useful for you?

Compute the value of the integral

 by using

Rectangular Rule (ii) Trapezoidal Rule and then (iii) Simpson's 1/3 Rule

Find the values of the first and second derivatives of f(x) at x = 76 from the following table. Use 0(h2 ) forward difference method. Also, find Truncation Error (TE) and actual errors.

If values of the function 

find the Lagrange's interpolation polynomial of f(x). Also, find f

By decinnial census, the population of a town was given below

Year (x) : 1971 1981 1991 2001 2011

Population (y): 112 132 158 189 226 (in thousands)

(i) Using Stirling's central difference formula, estimate the population for the year 2006

(ii) Using Newton's forward formula, estimate the population for the year 1992.

(iii) Using Newton's backward formula, estimate the population for the year 1980.

For the following data develop difference table and find forward differences and backward differences

Express A³fi as a central difference.

Express A³f, as a backward difference.

Explain what is the role of interpolation in solving numerical problems?

Regula-falsi method (ii) Newton Raphson method (iii) Bisection method (iv) Secant method

Determine the smallest roots of the following equation:

 to three significant digits using

Perform four iterations (rounded to four decimal places) using

(i) Jacobi Method and

(ii) Gauss-Seidel method,

for the following system of equations

. The exact solution is (1, 2, 3)^T. Which method gives better approximation to the exact solution?

Solve the system of equations

using Gauss elimination method with partial pivoting.

Obtain Approximate the value of (3.7)^-1 using first three terms of Taylor's series expansion.

Calculate a bound for the truncation error in approximating

 where  and (fact n) denotes factorial of n

Find out to how many decimal places the value 22/7 is accurate as an approximation of 3.14159265, where the latter is value of, calculated up to 8 places after decimal?

Explain with suitable example that in computer arithmatics (i.e., numbers represented in computer, with +, -, , / as implemented in a computer) the multiplication operation() may not be distributive over plus (+), i.e.  may not be true for some computer numbers a, b and c

Explain each of the following concepts, along with at least one suitable example for each: (i) Fixed-point number representation (ii) round-off error (iii) representation of zero as floating point number (iv) significant digits in a decimal number representation (v) normalized representation of a floating point number (vi) overflow