Numerical Methods
4th Edition
ISBN: 9780495114765
Author: J. Douglas Faires, BURDEN
Publisher: Cengage Learning
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Chapter 2.4, Problem 13E
To determine
The first positive solution of the equation using Newton’s Law.
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Suppose an experiment was conducted to compare the mileage(km) per litre
obtained by competing brands of petrol I,II,III. Three new Mazda, three new
Toyota and three new Nissan cars were available for experimentation. During the
experiment the cars would operate under same conditions in order to eliminate
the effect of external variables on the distance travelled per litre on the assigned
brand of petrol. The data is given as below:
Brands of Petrol Mazda Toyota Nissan
I 10.6 12.0 11.0
II 9.0 15.0 12.0
III 12.0 17.4 13.0
(a) Test at the 5% level of significance whether there are signi
cant differences among the brands of fuels and also among the cars. [10]
(b) Compute the standard error for comparing any two fuel brands means. Hence
compare, at the 5% level of significance, each of fuel brands II, and III with
the standard fuel brand I. [10]
Business discuss
Use the method of undetermined coefficients to solve the given nonhomogeneous system.X' =
−1 33 −1
X +
−4t2t + 2
X(t) =
Chapter 2 Solutions
Numerical Methods
Ch. 2.2 - Use the Bisection method to find p3 for f(x)=xcosx...Ch. 2.2 - Let f(x)=3(x+1)x12(x1). Use the Bisection method...Ch. 2.2 - Use the Bisection method to find solutions...Ch. 2.2 - Use the Bisection method to find solutions...Ch. 2.2 - Sketch the graphs of y=x and y=2sinx. Use the...Ch. 2.2 - Sketch the graphs of y=x and y=tanx. Use the...Ch. 2.2 - Let f(x)=(x+2)(x+1)x(x1)3(x2). To which zero of f...Ch. 2.2 - Let f(x)=(x+2)(x+1)2x(x1)3(x2). To which zero of f...Ch. 2.2 - Use the Bisection method to find an approximation...Ch. 2.2 - Use the Bisection method to find an approximation...
Ch. 2.2 - Find a bound for the number of Bisection method...Ch. 2.2 - Prob. 12ECh. 2.2 - The function defined by f(x)=sinx has zeros at...Ch. 2.3 - Let f(x)=x26,p0=3, and p1=2. Find p3 using each...Ch. 2.3 - Prob. 2ECh. 2.3 - Use the Secant method to find solutions accurate...Ch. 2.3 - Use the Secant method to find solutions accurate...Ch. 2.3 - Prob. 5ECh. 2.3 - Prob. 6ECh. 2.3 - Use the Secant method to find all four solutions...Ch. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - Prob. 10ECh. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - The fourth-degree polynomial...Ch. 2.3 - The function f(x)=tanx6 has a zero at (1/) arctan...Ch. 2.3 - The sum of two numbers is 20. If each number is...Ch. 2.3 - A trough of length L has a cross section in the...Ch. 2.3 - Prob. 17ECh. 2.4 - Let f(x)=x26 and p0=1. Use Newtons method to find...Ch. 2.4 - Prob. 2ECh. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Prob. 5ECh. 2.4 - Use Newtons method to find all solutions of...Ch. 2.4 - Prob. 7ECh. 2.4 - Prob. 8ECh. 2.4 - Prob. 9ECh. 2.4 - Prob. 10ECh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - Prob. 13ECh. 2.4 - Prob. 14ECh. 2.4 - Prob. 15ECh. 2.4 - Prob. 16ECh. 2.4 - Prob. 17ECh. 2.4 - Prob. 18ECh. 2.4 - Prob. 19ECh. 2.4 - Prob. 20ECh. 2.5 - The following sequences are linearly convergent....Ch. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.5 - Prob. 5ECh. 2.5 - Prob. 6ECh. 2.5 - Prob. 7ECh. 2.5 - Prob. 8ECh. 2.6 - Find the approximations to within 104 to all the...Ch. 2.6 - Prob. 2ECh. 2.6 - Prob. 3ECh. 2.6 - Repeat Exercise 2 using Mullers method.Ch. 2.6 - Prob. 5ECh. 2.6 - Prob. 6ECh. 2.6 - Prob. 7ECh. 2.6 - Prob. 8ECh. 2.6 - Prob. 9ECh. 2.6 - Two ladders crisscross an alley of width W. Each...Ch. 2.6 - Prob. 11ECh. 2.6 - Prob. 12E
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