Q1- Out of Trapezoidal rule and Simpson’s 1/3rd rule which one
is better explain in detail....
Q1- Out of Trapezoidal rule and Simpson’s 1/3rd rule which one
is better explain in detail. Also solve one application based
problem using that rule. Compare the exact and approximate result
to compute the relative errore.
MATH505 – NUMERICAL METHODS AND ANALYSIS
6. Out of Trapezoidal rule and Simpson’s 1/3rd rule which one
is better explain in detail. Also solve one application based
problem using that rule. Compare the exact and approximate result
to compute the relative error.
Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c)
Simpson’s Rule to approximate the given integral with the specific
value of n. (Round your answer to six decimal
places).
∫13 sin (?) / ? ?? , ? = 4
Please show all work.
Briefly compare and contrast Trapezoid Rule and Simpson’s Rule.
Talk about the ways in which they are conceptually similar, and
important ways in which they differ. Use the error bound formulas
(found in the notes, and on the practice final exam) to show that
the error in using these formulas must approach zero as h (the
distance between adjacent nodes) approaches zero.
The instructions for the given integral have two parts, one for
the trapezoidal rule and one for Simpson's rule. Complete the
following parts.
Integral from 0 to pi ∫4sint dt
I. Using the trapezoidal rule complete the following.
a.
Estimate the integral with n=4 steps and find an upper bound for
AbsoluteValueET.
T=?
(Simplify your answer. Round to four decimal places as
needed.)
An upper bound for AbsoluteValueET is ?
(Round to four decimal places as needed.)
b. Evaluate the...
use Simpson's 3/8th Rule on the first 3 segments, and multiple
application of Simpson's 1/3rd Rule on the rest of the
segments.
?(?)=400?5−900?4+675?3−200?2+25?+0.2
a = 0.12
b = 1.56
n = 7
if you only had one choice to make out of the
two.....which is a "better measure" of competitive balance
in the sports environment: The
HHI (Hirfindahl Hirschman Index) or The
Ratio? Overall, Choose one as your
preferred method....but ....be sure to explain both
methods; & WHY you prefer one over the
other!!
please write two paragraphs, one explaining each method
and the second paragraph contains which is better and
why.
Explain why most economists would argue that a two-in/one-out
rule for regulation is not consistent with a cost-benefit approach
to regulation. Give a potential rationale that would be used by
some economists who believe that in practice it is. Define a
regulatory approach. Repeat the previous analysis for a policy with
a (small) regulatory budget.
Explain why most economists would argue that a two-out/one-in
rule for regulation is not consistent with a cost-benefit approach
to regulation. Give a potential rationale that would be used by
those economists who believe that, in practice, it is. Define a
regulatory budget. Repeat the previous analysis for a policy with a
(small) regulatory budget.