Numerical Methods
4th Edition
ISBN: 9780495114765
Author: J. Douglas Faires, BURDEN
Publisher: Cengage Learning
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Chapter 2.3, Problem 12E
To determine
Find the closest point at the given curve.
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3.
P
2.
1
-3-2-10 1 2 3
-2-
X
The graph of point P is given in the xy-plane.
Which of the following are possible polar
coordinates of point P?
A
Ⓐ(2, 2)
(2, 1/1/1)
B (2, 3)
C
Ⓒ =)
(2√2, 41 )
D
(2√2, 3)
4
1. Except for the door and floor, a shed is built entirely out of plywood. How
many square meters of plywood are needed to build the shed? (1 foot 0.3048 m)
10 ft.
7 ft.
3 ft.
18 ft.
17 ft.
15 ft.
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
c) If Leigh can only invest for 3 years, which is the better option? Explain.
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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- 3. A construction worker is measuring wood to build a triangular side of a roof. The angle at the peak of the roof is 102°. Two sides of the triangle each has length 14.3 feet. How wide is the roof? 102° 14.3 ft. 14.3 ft.arrow_forwardPls help ASAParrow_forward3. George will need $22 500 when he goes to college 5 years from now. She has 2 options for saving the money. Option A: A regular deposit at the end of each month into an account that earns 5.75% per year compounded monthly (2 Marks) Option B: A regular deposit at the end of each year into an account that earns 6.35% per year compounded annually (2 Marks) Which option should George choose? Make a recommendation, then justify it.arrow_forward
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