Question
In: Math
Explain and state the formula of (a) Trapezoidal rule, (b) the Midpoint Rule, and (c) Simpson’s...
Explain and state the formula of (a) Trapezoidal rule, (b) the Midpoint Rule, and (c) Simpson’s Rule and the error formula of each
Solutions
Expert Solution
The formula for the Trapezoidal rule is given by
and
for the Midpoint Rule, the formula is given by
The formula for the Simpson's Rule is
The
step by step explanatory solution is provided below.
milcah answered 2 years agoRelated Solutions
Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson’s Rule to approximate the...
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.
use the a) midpoint rule, b) Trapezoidal rule, and c) the Simpsons rule to approximate the...
use the a) midpoint rule, b) Trapezoidal rule, and c) the
Simpsons rule to approximate the given integral with the value of n
and round to 4 decimal places
integral (from 0 to 1) e^-x^2 dx, n = 10
show work please
Use the trapezoid rule, midpoint rule, and Simpson’s rule to approximate the given integrals with the...
Use the trapezoid rule, midpoint rule, and Simpson’s rule to
approximate the given integrals with the given values of n.
?) ∫ ? ? / 1+? 2 ?? (from 0 to 2) ? = 10
?) ∫ √??? ?? (from 1 to 4) ? = 6
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.
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
to approximate the given integral with the specified value of n.
(Round your answers to six decimal places.)
2
1
6 ln(x)
1 + x
dx, n = 10
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
to approximate the given integral with the specified value of
n. (Round your answers to six decimal places.)
π/2
0
3
2 +
cos(x)
dx, n
= 4
(a) the Trapezoidal Rule
(b) the Midpoint Rule
(c) Simpson's Rule
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
to approximate the given integral with the specified value of
n. (Round your answers to six decimal places.)
4
0
ln(3 + ex) dx, n = 8
(a) the Trapezoidal Rule
(b) the Midpoint Rule
(c) Simpson's Rule
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
to approximate the given integral with the specified value of
n. (Round your answers to six decimal places.)
π/2
0
3
1 + cos(x)
dx, n = 4
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
to approximate the given integral with the specified value of n.
(Round your answers to six decimal places.) 5 2 cos(7x) x dx, n = 8
1 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's
Rule
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
to approximate the given integral with the specified value of n.
(Round your answers to six decimal places.) 2 0 e^x/ 1 + x^2 dx, n
= 10 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's
Rule
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