(1) (10 points) Find Cubic Splines for the given data: x f(x) 0.1 -0.29004996 0.2 -0.56079734...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
(1) (10 points) Find Cubic Splines for the given data: x f(x) 0.1 -0.29004996 0.2 -0.56079734 0.3 -0.81401972 [Every mistake in the theory of the construction of the spline will cost 1 point and each calculation mistake will cost you 0.5 point. To be done by hand (Use of Python is not allowed for this question)] (2) (10 points) The data in (1) was generated using f(x) = x²cosx - 3x. Use the cubic splines con- structed in (1) to find errors for f(0.18) and f'(0.18) Finding f(0.18) and f'(0.18) correctly is (1+1), finding values of the spline and its derivative cor- rectly at 0.18 is (1.5+1.5) and finding errors correctly is (2.5+2.5- 1.5 for the correct formula and 1 for the calculation each) (1) (10 points) Find Cubic Splines for the given data: x f(x) 0.1 -0.29004996 0.2 -0.56079734 0.3 -0.81401972 [Every mistake in the theory of the construction of the spline will cost 1 point and each calculation mistake will cost you 0.5 point. To be done by hand (Use of Python is not allowed for this question)] (2) (10 points) The data in (1) was generated using f(x) = x²cosx - 3x. Use the cubic splines con- structed in (1) to find errors for f(0.18) and f'(0.18) Finding f(0.18) and f'(0.18) correctly is (1+1), finding values of the spline and its derivative cor- rectly at 0.18 is (1.5+1.5) and finding errors correctly is (2.5+2.5- 1.5 for the correct formula and 1 for the calculation each)
Expert Answer:
Answer rating: 100% (QA)
1 The equations of the respective free cubic splines are 3 Sx Sx a bi xx cixx dixx 2 for x ... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Find the cobic sp line g(x) for the given data with k0 and kn as given f ( 2) = f ( 1) = f (1) = f (2) = 0 f (0) = 1, k0, k4 = 0.
-
In problems, calculate the Riemann sum For the given data (a) f(x) = x - 1; P: 3 x1 = 3, x2 = 4, x3 = 4.75, x4 = 6, x5 = 6.5 (b). f(x) = -x/2 + 3; P: -3 x1 = -2, x2 = -0.5 x3 = x4 = 2 (c). f(x) =...
-
Find the cubic spline g(x) for the given data with k 0 and k n as given. Can you obtain the answer from that of Prob. 15? Data from in Problem 15 fo=f(0) = 2, f = f(2)= -2, f2 = f(4) = 2, f3 = f(6) =...
-
On August 31, 2014, Nina Herrera borrowed $5,000 from Second State Bank. Herrera signed a note payable, promising to pay the bank principal plus interest on August 31, 2015. The interest rate on the...
-
Describe the purposes of the accounting system.
-
TinRoof, Inc., manufactures and sells a do-it-yourself storage shed kit. In 2012, it reported the following: Units produced and sold ............................. 3,200 Investment...
-
The General Social Survey reported that in a sample of 68 men aged 1825, the mean number of hours of television watched per day was 2.76 with a standard deviation of 2.21. In a sample of 72 women...
-
Suppose 3 control limits are constructed for the average temperature in a furnace. Sample of size 4 were selected with the average temperature being 5000C and a standard deviation of 50C. (a) Find...
-
Classic Clothing, Inc., is a manufacturer of winter clothes. It has a knitting department and a finishing department. This exercise focuses on the finishing department. Direct materials are added at...
-
Lawrence is a 16-year-old youth who was found guilty of vandalism and assault. He was convicted of breaking into his school with two friends and writing insulting slogans on the hallway walls. He was...
-
A steel beam of I-section, 200 mm deep and 160 mm wide has 16 mm thick flanges and 10 mm thick web. The beam is subjected to a shear force of 200 kN. Determine the shear stress in web, just at the...
-
a. What is SEC Regulation NMS? b. What is the "Order Protection Rule" specified by Regulation NMS? c. What is the "Access Rule" specified by Regulation NMS?
-
What is the difference between a convertible bond and an exchangeable bond?
-
What is the difference between a single-investor lease and a leveraged lease?
-
What are the four transactions whose financing can lead to the creation of bankers acceptances?
-
Why is a bank that creates a BA called an accepting bank?
-
6. (20 Points) Write a lisp function (square-list L) that squares all the integer members in a list L and return the result. '(1 2 3 4 5)) '()) '(4 4 4)) > (square-list (1 4 9 16 25) > (square-list...
-
The registrar of a college with a population of N = 4,000 full-time students is asked by the president to conduct a survey to measure satisfaction with the quality of life on campus. The following...
-
Find the binomial approximation of the hypergeometric distribution in Example 1 and compare the approximate and the accurate values.
-
In Prob. 8 start from x0 = [1.5 1] T, show that the next even-numbered approximations are x2 = kx0, x4 = k2x0, etc., where k = 0.04.
-
Find the sketch or graph the image of the given region under w = cos z. 0 < x < 2, 1/2 < y <1
-
A ___________ chart is a histogram that can help you identify and prioritize problem areas. A. Pareto B. control C. run D. scatter
-
What are the Seven Basic Tools of Quality? If applicable, describe how you have you used these tools in the workplace.
-
Perform the monitoring and controlling tasks for one of the case studies provided in Appendix C. If you are working on a real team project, create relevant monitoring and controlling documents, such...
Study smarter with the SolutionInn App