Question
In: Advanced Math
Given the integral 1/x dx upper bound 2 lower bound 1 (a) use simpson's rule to...
Given the integral 1/x dx upper bound 2 lower bound 1
(a) use simpson's rule to approximate the answer with n=4
Formula:f(x)=1/3[f(x0)+4f(x1)+2f(x2)+...+f(xn)]Δx(keep answer to 6 decimals)
b)how large is n in order for the error of Simpsons rule for the given integral is no more than 0.000001
Formula: |Es|=(k)(b-a)^5/(180 n^4), where |f^4(x)≤k|
please show all work and steps
Solutions
Colby Messinger answered 2 years agoRelated Solutions
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Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
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(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
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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
Write matlab program to compute ∫f(x)dx lower bound a upper bound b using simpson method and...
Write matlab program to compute ∫f(x)dx lower bound a upper
bound b using simpson method and n points. Then, by recomputing
with n/2 points and using richardson method, display the exact
error and approximate error. (Test with a=0 b=pi f(x)=sin(x))
Evaluate the integral. (Use C for the constant of integration.) (x^2-1)/(sqrt(25+x^2)*dx Evaluate the integral. (Use C...
Evaluate the integral. (Use C for the constant of
integration.)
(x^2-1)/(sqrt(25+x^2)*dx
Evaluate the integral. (Use C for the constant of
integration.)
dx/sqrt(9x^2-16)^3
Evaluate the integral. (Use C for the constant of
integration.)
3/(x(x+2)(3x-1))*dx
Solve the following integral ∫ (x^2 + x + 2) / (x + 1)(x^2 + 1) dx....
Solve the following integral ∫ (x^2 + x + 2) / (x +
1)(x^2 + 1) dx. Use partial fraction decomposition. Show all work
and steps to get to solution.
Given the data listed in the table, calculate the lower and upper bound for the 95%...
Given the data listed in the table, calculate the lower and
upper bound for the 95% confidence interval for the mean at X = 7.
The regression equation is given by y^ = b0 +
b1x.
Regression Statistics
Statistic
Value
b0
4.3
b1
0.50
x
5.36
se
3.116
SSX
25.48
SST
58.25
n
40
Give your answers to 2 decimal places. You may find this
Student's t distribution table useful.
a) Lower bound =
b)Upper bound =
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