MTH603 Quiz 1 Solution and Discussion

Richardson extrapolation is method also known as ………… MTH603
Sequence acceleration method
Series acceleration method 
3rd

In NewtonCotes formula for finding the definite integral of a tabular function, which of the following is taken as an approximate function then find the desired integral? MTH603
Trigonometric Function
Exponential Function
Logarithmic Function
Polynomial Function Page=166

While using the Composite Trapezoidal form for integrating y = f(x) in [0,10] which is subdivided in equally spaced interval of width ‘h =2’, then which of the following is the area of associated trapezoidal strip over subinterval:[2,4] ? MTH603
(y2 + y4)/2
(y2 + y4)
(y2  y4)/2
(y2  y4) 

For a function ‘f(x) = x’, with a step size of ‘h=0.01’, which of the following gives the 1st derivative at x =1 by using two point formula? MTH603
Y’=(x)=1+Some truncation Error
Y’=(x)=1.01+Some truncation Error
Y’=(x)=.0.1+Some truncation Error
Y’=(x)=0.1+Some truncation Error


To improve the accuracy of the derivative of the function, which of the following method is more helpful? MTH603
Extrapolation
Interpolation
Divided difference
Central difference