Question

15. Consider the following data for a function (x). Find m if the composite Trapezoidal rule with n=4 gives the value $int_1^3 f(x) dx = 12.25$ (3-digit chopping). x 1 1.5 2 2.5 3 y = f(x) m 3 6 m 10 6. a) Show that the roots of the equation f(x) = e^x - 2x^2 lies in [1, 2] and find the solution using bisection method. b) Find the number of iterations necessary to solve the equation f(x) = x^3 + 4x^2 - 10 = 0 in using bisection method and correct to within 10^-5 c) Find the number of iterations necessary to solve the equation in [1, 2], using bisection method and correct to 10^-5.

          15. Consider the following data for a function (x). Find m if the composite
Trapezoidal rule with n=4 gives the value $int_1^3 f(x) dx = 12.25$ (3-digit
chopping).
x		1		1.5		2		2.5		3
y = f(x)	m		3		6		m		10
6. a) Show that the roots of the equation f(x) = e^x - 2x^2 lies in [1, 2] and
find the solution using bisection method.
b) Find the number of iterations necessary to solve the equation
f(x) = x^3 + 4x^2 - 10 = 0 in using bisection method and correct to within 10^-5
c) Find the number of iterations necessary to solve the equation in [1, 2], using
bisection method and correct to 10^-5.

15. Consider the following data for a function (x). Find m if the composite
Trapezoidal rule with n=4 gives the value int1^3 f(x) dx = 12.25 (3-digit
chopping).
x 1 1.5 2 2.5 3
y = f(x) m 3 6 m 10
6. a) Show that the roots of the equation f(x) = e^x - 2x^2 lies in [1, 2] and
find the solution using bisection method.
b) Find the number of iterations necessary to solve the equation
f(x) = x^3 + 4x^2 - 10 = 0 in using bisection method and correct to within 10^-5
c) Find the number of iterations necessary to solve the equation in [1, 2], using
bisection method and correct to 10^-5.

Added by Ryan A.

Question

Please give Ace some feedback