Question

Question 11 when approximating the first derivative using fina True False nce rat e s with and truncation error decreases Question 12 Fourier analysis is based on the premise that more complicated functions for exam i me series can be represented by the sum of simpler trigonometric True False Question 13 Implementation of Euler's method involves computing a new value based on an old value of the dependent variable Bold value of the independent variable c Slope D. Step size E all of the above Question 14 This MATLAB function generates a sequence of numbers that are uniformly distributed between 0 and 1. A hist B. Inregr cinspace Vorand Estev Question 15 Computer implementation of iterative calculations may involve A Decision loops B. Count-controlled loops c approximate error estimate D. stopping criterion E All of the above

Answer 1

Q->11: When approximating the first derivative using finite-difference approximation, roundoff error increases with the step size and truncation error decreases with step size.

Answer:

False, Actually reverse is true,

Roundoff error decreases with the step size and truncation error increases with step size.

Q->12: Fourier analysis is based on the premise that more complicated functions can be represented by the sum of simpler trigonometric functions.

Answer:

True, they can be represented as sin and cosin.

Q->13: Implementation of Euler's method involves computing a new value based on a

Answer:

D. step size

Q->14: The MATLAB function generates a sequence of numbers that are uniformly distributed between 0 and 1.

Answer:

D. rand

Q->15: Computer implementation of iterative calculations may involve

Answer:

E. All of the above