11 use simpeon S Rule to apprimde dor using 6 subinterralss 11 use simpeon S Rule...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral 11 ln(2) 5," dx 5 + x with n= = 6. T6 = M6 = S6 =
(SLO ... (6)Points) 3. Find the C(S)/R(S) for the signal flow diagram using Mason's Gain Rule
Use the midpoint rule to calculate the absolute error of (8x? + 6) dx using 3 subintervals. Enter an exact value. Do not enter the answer as a percent. Provide your answer below:
2 Problem 3 (25 points) Let I = ïrdz. a) [by hand] Use a composite trapezoidal rule to evaluate 1 using N = 3 subintervals. b) MATLAB] Use a composite trapezoidal rule to evaluate I using N - 6 subinterval:s c) by hand] Use Romberg extrapolation to combine your results from a) and b) and obtain an improved approximation (you may want to compare with a numerical approximation of the exact value of the integral
2 Problem 3 (25 points)...
Consider the following integral: S“ sinº (0) do (a) Use the Trapezoid Rule with n = 6 to approximate the integral. (b) Use Simpson's Rule with n = 6 to approximate the integral.
Approximate the value of the integral by use of the trapezoidal rule, using n=8. 10 S 100 - x² ax 0 10 1100 - x dx = (Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.)
4) Approximate the following integral using the Trapezoidal rule and Simp son's rule with n=4 6
4) Approximate the following integral using the Trapezoidal rule and Simp son's rule with n=4 6
Using n=6 approximate the value of ∫_(-1)^2▒√(e^(-x^2 )+1) dx using
Trapezoid rule.
(6) Using n 6 approximate the value of L3 Ve-x2 + 1 dx using Trapezoid rule. 15Marks
Use
Cramer's Rule to solve the system.
Use Cramer's Rule to solve the system. 9x + 5y 4x - 4y = = -11 -36 <-- and y=+
Characterize the below integrals (definite or indefinite) and solve the integrals by using the substitution rule: a. S(-11(5x + 7)5)dx b. S(4V7x - 1)dx C. J-8 siz3x cosx) dx d. S -6 dx 2x+3 e. S(-5sin(9x - 4))dx