Numerical Analysis
3rd Edition
ISBN: 9780134696454
Author: Sauer, Tim
Publisher: Pearson,
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Chapter 7.2, Problem 10CP
Use finite differences to solve the equation
Plot approximations for
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4.2 Comparing Linear and Exponential Change
7) Money is added to (and never removed from) two different savings accounts (Account A
and Account B) at the start of each month according to different mathematical rules. Each
savings account had $500 in it last month and has $540 in it this month.
(a) Assume the money in Account A is growing linearly:
How much money will be in the account next month?
How much money was in the account two months ago?
How long will it take for the account to have at least $2500?
Write an equation relating the amount of money in the
account and the number of months from now. Clearly
define the meaning of each variable in your equation, and
interpret the meaning of each constant in your equation.
(b) Assume the money in Account B is growing exponentially.
How much money will be in the account next month?
How much money was in the account two months ago?
How long will it take for the account to have at least $2500?
Write an equation relating the amount of money…
Which of the following is the solution to the equation 25(z − 2) = 125?
-
Oz = 5.5
Oz = 3.5
Oz = -2.5
z = -0.5
Analyze the graph below to identify the key features of the logarithmic function.
2
0
2
6
8
10
12
2
The x-intercept is y = 7, and the graph approaches a vertical asymptote at y = 6.
The x-intercept is x = 7, and the graph approaches a vertical asymptote at x = 6.
The x-intercept is y = -7, and the graph approaches a vertical asymptote at y = −6.
The x-intercept is x = -7, and the graph approaches a vertical asymptote at x = −6.
Chapter 7 Solutions
Numerical Analysis
Ch. 7.1 - Use Theorem 7.1 to prove that the boundary value...Ch. 7.1 - Show that the solutions to the BVPs in Exercise 1...Ch. 7.1 - Consider the BVP { y=cyy(a)=yay(b)=yb where c0, ab...Ch. 7.1 - Consider the BVP { y=cyy(0)=0y(b)=0 where c0. For...Ch. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Show that the solutions to the linear BVPs {...Ch. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Apply the Shooting Method to the linear BVPs....
Ch. 7.1 - Carry out the steps of Computer Problem 1 for the...Ch. 7.1 - Apply the Shooting Method to the nonlinear BVPs....Ch. 7.1 - Carry out the steps of Computer Problem 3 for the...Ch. 7.1 - Prob. 5CPCh. 7.1 - Verify that (7.10) is a solution of the BVP for...Ch. 7.1 - Set compressibility to the moderate value c=0.01 ....Ch. 7.1 - Prob. 3SACh. 7.1 - Change pressure to p=3.5, and resolve the BVP....Ch. 7.1 - Prob. 5SACh. 7.1 - Carry out Step 5 for the reduced compressibility...Ch. 7.1 - Carry out Step 5 for increased compressibility...Ch. 7.2 - Use finite differences to approximate solutions to...Ch. 7.2 - Use finite differences to approximate solutions to...Ch. 7.2 - Use finite differences to approximate solutions to...Ch. 7.2 - Use finite differences to plot solutions to the...Ch. 7.2 - (a) Find the solution of the BVP y=y, y(0)=0,...Ch. 7.2 - Solve the nonlinear BVP 4y=ty4, y(1)=2, y(2)=1 by...Ch. 7.2 - Extrapolate the approximate solutions in Computer...Ch. 7.2 - Extrapolate the approximate solutions in Computer...Ch. 7.2 - Prob. 9CPCh. 7.2 - Use finite differences to solve the equation {...Ch. 7.2 - Solve { y=cy(1y)y(0)=0y(1/2)=1/4y(1)=1 for c0,...Ch. 7.3 - Use the Collocation Method with n=8, 16 to...Ch. 7.3 - Use the Collocation Method with n=8, 16 to...Ch. 7.3 - Carry out the steps of Computer Problem 1, using...Ch. 7.3 - Carry out the steps of Computer Problem 2, using...
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