1st Assignment of Numerical Methods in Engineering (ME 309)

Beant College of Engineering & Technology Gurdaspur

5^th Semester Mech (Section A&B)

1^st  Assignment of  Numerical Methods in Engineering (ME 309) (10 Marks)

Due date: In the week starting 30/07/12 during respective Tutorials.

Q1.       Provide the number of significant digits in each of the following numbers:

(a)  0.0000055 g  _____   (c) 1.6402 g  _____   (e) 16402 g ______

(b)  3.40 x 10³ mL  ______  (d)  1.020 L  _____   (f) 1020 L _______

Q2.      Perform the operation and report the answer with the correct number of significant digits.

(a)    (10.3) x (0.01345) =  ___________________ 

(b)   (10.3) + (0.01345) = ______________________

(c) [(10.3) + (0.01345)] ÷ [(10.3) x (0.01345)]  =____________________________

Q3.      If r = 2×h×(h⁴ - 3), find the percentage error in r at h = 2, if the percentage error in h is 5.   
    

Q4.      If R = 4x³y²/z⁴ and relative errors in x, y, z are 0.03, 0.01, 0.02 respectively at x = 2, y = 1, z = 3. Calculate the absolute, relative and percentage error in evaluating R.