Question

1) What is the order of error in the series approximation of: Sin(x + h) - Sin(x) + hCos(x)-h’Sin(x)/2+h'Cos(x16 a) h2 b) h c) d) None of the above 2) For two conformable matrices a(m,n) and b(n,p), the product of the two matrices is given by the equation: a) c =ba b) (ij) Ekalt, k) (k.) c) c = -b'a d) None of the above 3) Regression analysis involves minimizing: a) The sum of the squares c) The sum of the square of the errors b) The sum of the errors squared d) None of the above 4) For the approximation: d’y/dx? = ay- + by + cy-l, the error is of order: . b) hº c) h . d) None of the above a) h 5) When using the mult-segment Simpson's 1/3 Rule the number of data points required is: a) An even number b) An odd number c) Does not matter 6) Euler's method of solving a second order differential equation requires: a) Two boundary conditions b) More than one initial condition c) One initial condition only d) None of the above 7) In Matlab, the expression, 1./X (where X is a vector): results in: a) A vector b) A scalor c) Either a vector or a scalor d) None of the above

Answer 1

1.(d) Error is of fourth order here.

2.(d) For conformal matrix product should be a*b

3. (c) Regression method minimizes sum of squares of error.

4. (d) Error is of fourth order here.

5.(a) Since, the number of segments should be even, numeber of points required is also even.

6.(a) For solving second order differential equation, two initial conditions are needed.

7.(a) If x is a vector, result is also vector