3. Suppose we want to use the ri-term trapezoid rule to approximate Sinde (a) (3 points)...
In Exercises 1-6, (a) use the Trapezoidal Rule with n = 4 to approximate the value of the integral, (b) Use the concavity of the function to predict whether the approximation is an overestimate or an underestimate. Finally, (c) find the integral's exact value to check your answer. rada What are the requirements that must be satisfied to construct a confidence interval about a population proportion?
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 3 cos(6x) n = 8 dx, X 1 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule
Problem 2 (1) Approximate If = 1.4" dx using the composite trpezoidal rule with uniform partition Rr(f;P), where h = 1/2. (2) Find the true value of the definte integral using the antiderivative of f(x) = 4". (3) Does your approximation overestimate or underestimate the true value? Use the graph to explain the overesimation or underestimation geometrically.
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.) S 2 + cos(x) dx, n=4 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read Talk to Tutor
Problem 3. Suppose you are programming the composite trapezoid rule (CTR) to approximate 1(f) =| f(x) dx using the TR with N subintervals, and that you mistakenly forget to weight down the two endpoints by 3. That is, you have accidentally programmed the quadrature rule where h-%.. (Note: sinoefe C, you know that UIL is bounded.) 1. Find QBADN -OCTRN where QCTRN ) is the approximation to (x) dx computed via the CTR with N subintervals. Problem 3. Suppose you...
Problem 4. (15 points) Use the trapezoid rule with h = { to approximate the integral 1 = To vi+ x4 ax How small does h have to be for the error to be less than 10-3?
2. Use the Trapezoid rule with n = 4 subintervals to approximate the integral (i.e approximate In 3). Round your answer to 4 decimal places (or give a simplified fraction). An answer without work will not receive credit; you must write out the expression you put into a calculator. 3. In 1311.098012389 dr -- inixl1,° - inixll,
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.) 1/2 0 10 sin(x2) dx, n = 4
Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the given value of n. Round your answer to four decimal places and compare the results with the exact value of the definite integral. foxt dx, n = 4 (x + 2)2 Trapezoidal Simpson's exact The velocity function, in feet per second, is given for a particle moving along a straight line. v(t) = 2 - t - 132, 1sts 13 (a) Find the...
16. [-13 Points) DETAILS SCALCET8 7.7.505.XP. MY NOTES ASK YOUR TEACH Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) 5 cos(2x) dx, n = 4 5 si X (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule