Numerical Methods
4th Edition
ISBN: 9780495114765
Author: J. Douglas Faires, BURDEN
Publisher: Cengage Learning
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Chapter 3.5, Problem 19E
a.
To determine
Draw the cubic spline for the given values.
b.
To determine
Draw the cubic spline for the given values.
c.
To determine
Calculate the speed of the kingdoms at the ending point..
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P
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C
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1. Leigh plans to invest $2500 for 4 years. She is considering two options:
• A compound interest Guaranteed Investment Certificate (GIC) earning 5.6%
per year for 4 years
•
A simple interest government bond earning 6.1% per year for 4 years
a) Determine the total interest earned for each option at the end of each year.
GIC
Year
Principal
Interest earned
(5.6%)
Total interest
1
2
3
4
Government Bond [2 Marks]
Interest earned
(6.1%)
Year
Principal
1
2
3
4
b) Which is the better option? Explain.
Total interest
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Chapter 3 Solutions
Numerical Methods
Ch. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Use appropriate Lagrange interpolating polynomials...Ch. 3.2 - Use Nevilles method to obtain the approximations...Ch. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Use the Lagrange interpolating polynomial of...Ch. 3.2 - Prob. 9ECh. 3.2 - Prob. 10E
Ch. 3.2 - Prob. 11ECh. 3.2 - Nevilles method is used to approximate f(0.5),...Ch. 3.2 - Prob. 13ECh. 3.2 - Suppose xj=j for j=0,1,2,3 and it is known that...Ch. 3.2 - Nevilles method is used to approximate f(0) using...Ch. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - A fourth-degree polynomial P(x) satisfies...Ch. 3.3 - Prob. 10ECh. 3.3 - The Newton forward divided-difference formula is...Ch. 3.3 - For a function f, the Newtons interpolatory...Ch. 3.3 - Prob. 13ECh. 3.4 - Use Hermite interpolation to construct an...Ch. 3.4 - Prob. 2ECh. 3.4 - Use the following values and five-digit rounding...Ch. 3.4 - Let f(x)=3xexe2x Approximate f(1.03) by the...Ch. 3.4 - Prob. 5ECh. 3.4 - The following table lists data for the function...Ch. 3.4 - A car traveling along a straight road is clocked...Ch. 3.4 - Prob. 8ECh. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Construct the natural cubic spline for the...Ch. 3.5 - The data in Exercise 3 were generated using the...Ch. 3.5 - Construct the clamped cubic spline using the data...Ch. 3.5 - Repeat Exercise 4 using the clamped cubic splines...Ch. 3.5 - Prob. 7ECh. 3.5 - Construct a natural cubic spline to approximate...Ch. 3.5 - Prob. 9ECh. 3.5 - Prob. 10ECh. 3.5 - Prob. 11ECh. 3.5 - A clamped cubic spline s for a function f is...Ch. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Suppose that f(x) is a polynomial of degree 3....Ch. 3.5 - Suppose the data xi,fxi)i=1n lie on a straight...Ch. 3.5 - The data in the following table give the...Ch. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - It is suspected that the high amounts of tannin in...Ch. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Construct and graph the cubic BĂ©zier polynomials...Ch. 3.6 - Prob. 4E
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