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

Expert Solution

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

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.) 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 =

Subjects