Questions on newtons theory and trapezium rule???

[latkan]

3.

(a) Use the trapezium rule to find an approximate value of the integral,

(the integral is from 1 to 2) ? dx/x^2'


by dividing the range of integration into five equal parts. Compare your result withthe exact answer.

(b) Use Newton's method to find an approximate solution of the equation 2 sin x = x^2 to three decimal places, starting from x = ?.

4.

(a) Use Newton's method to find an approximate solution of the equation,

x=1/ (1 + x^2)

to three decimal places, starting from x=1

(b) Use the trapezium rule to find an approximate value of the integral,

(the integral is from 1 to 2) ? dx/ x+ 1

by dividing the range of integration into five equal parts. Compare your result with the exact answer.

 

[Deleted member 4993]

3.

(a) Use the trapezium rule to find an approximate value of the integral,

(the integral is from 1 to 2) ? dx/x^2'


by dividing the range of integration into five equal parts. Compare your result withthe exact answer.

(b) Use Newton's method to find an approximate solution of the equation 2 sin x = x^2 to three decimal places, starting from x = ?.

4.

(a) Use Newton's method to find an approximate solution of the equation,

x=1/ (1 + x^2)

to three decimal places, starting from x=1

(b) Use the trapezium rule to find an approximate value of the integral,

(the integral is from 1 to 2) ? dx/ x+ 1

by dividing the range of integration into five equal parts. Compare your result with the exact answer.

These are fairly simple questions - your text-book should have similar example problems solved. If not, then use google, you'll find many sites with worked out examples.

Please show us your work, indicating exactly where you are stuck - so that we know where to begin to help you