use a CAS to perform the following steps for the given curve over the closed interval. a. Plot the curve together with the polygonal path approximations for n = 2, 4, 8 partition points over the interval. b. Find the corresponding approximation to the length of the curve by summing the lengths of the line segments. c. Evaluate the length of the curve using an integral. Compare your approximations for n = 2, 4, 8 with the actual length given by the integral. How does the actual length compare with the approximations as n increases? Explain your answer. x = 2t^3 - 16t^2 + 25t + 5, y = t^2 + t - 3, 0 … t … 6

use a CAS to perform the following steps for the given curve over the closed interval. a. Plot the curve together with the polygonal path approximations for n = 2, 4, 8 partition points over the interval. b. Find the corresponding approximation to the length of the curve by summing the lengths of the line segments. c. Evaluate the length of the curve using an integral. Compare your approximations for n = 2, 4, 8 with the actual length given by the integral. How does the actual length compare with the approximations as n increases? Explain your answer. x = 2t^3 - 16t^2 + 25t + 5, y = t^2 + t - 3, 0 … t … 6

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter14: Numerical Methods

Section14.6: The Trapezoidal Rule

Problem 1E

See similar textbooks

Similar questions

An oscillating current in an electric circuit is described by i(t) = 9e cos(2rt) where t is in seconds. Use False Position Method to determine the value of t such that i=3.5. Plot the graph of the function to develop your initial guess. Terminate your computation when the approximate relative error falls below ɛs=10°. Give the results in a table.
Draw the graph of the function f(x)=⌊x/2⌋ from R to R.
find the line integral for f = 2x + 2z along the curve x = t2 . y = 3t .z = 2t2 where 0
Simplify the following Boolean functions, using Karnaugh map:F(A,B,C,D) = ∑(0, 2, 4, 5, 6, 7, 8, 10, 13, 15)
Please explain how that is simplified to Y=A, using Karnaugh Maps with 1 and 0 not the other solution that was just submitted
llowing function on the axes provided. f(x)={(-2 for x<=-4),(2x+1 for x>0):}
7. Given the following truth table, write an algebraic expression for the given function and simplify the expression using a Karnaugh map. A F 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Estimate the integral of f(x)=sin(x)/x between 0 and 1 using Simpson's 3/8 rule. Use n=12
A discharge factor is a ratio which compares the mass flow rate at the end of a channel or nozzle to an ideal channel or nozzle. The discharge factor for flow through an open channel of parabolic cross-section is: K = 1.2 [V16x +1+ In(V16x² +1+4x)]³ 4x where x is the ratio of the maximum water depth to breadth of the channel at the top of the water. Determine the discharge factors for x in the range 0.45 to 0.90 in steps of 0.05. Script e C Reset I MATLAB Docume 1 %Give values for x: 2 3 %Solve for K: 4
What is the most simplified expression of the following Karnaugh map?
1. Given the following truth table: с F 1 A В 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 a) Write down the minterm expansion for the function F b) Draw the K-Map using the minterm expansion
4. Given the following truth table, write an algebraic expression for the given function and simplify the expression using a Karnaugh map. A В F 1 1 1 1 1 1 1 1 1 1 1 1 1 1