Error Calculation of a expression

Question

How do we calculate the

(i) absolute error

(ii) relative error

(iii) percentage error, of the formula,

((y)^(1/2)) + (x/y) + (x*(e^(2x)))

if the values of x=0.906 , y=1.036, where the values are corrected to the given decimal

places.

Answer 1

absolute : absolute value of [ (ACTUAL - Approximate)/Approximate ]* 100%

relative: absolute value of [ (ACTUAL - Approximate)/Actual ]* 100%

Ex.

12*11 = 132 is the actual product

10*10 =100 is the approximate estimate

absolute error = | (132-100)/100 | * 100% = 32/100 *100% = 32%

relative error = | (132-100)/132 | * 100% = 32/132 *100% = 24.24%