Provide an appropriate response.Explain why Simpson's Rule gives an exact value for the integral 
.
What will be an ideal response?
The error for Simpson's Rule satisfies 
? 
, where M is an upper bound on the fourth derivative of f(x) on the interval [a, b].
Since f(x) is a cubic function in this case, f(4) (x) = 0 for all x. So 
? 0, or 
= 0. Therefore, Simpson's Rule gives the integral's exact value.
You might also like to view...
Perform the requested operation on the given function.f(x) = x - 4, g(x) = -4x2 + 12x + 1Find (fg)(2).
A. 54 B. -90 C. -58 D. -18
Provide an appropriate response.Write an expression that represents the area of the rectangle. Simplify the expression.
A. (14x - 42) sq m B. (14x + 42) sq m C. (9x - 42) sq m D. (9x - 13) sq m
Simplify the expression.
?
What will be an ideal response?
Solve the problem.The equation D = 
gives the number of diagonals D for a polygon with n sides. Find the number of diagonals for a polygon that has 6 sides.
A. 3 diagonals B. 18 diagonals C. 27 diagonals D. 9 diagonals