a.
Find the value of given algebraic function.
a.
Answer to Problem 1CE
At the different value of
Explanation of Solution
Given: The functions are given
And the value of x is also given
Calculation:
Let’s take all the values of x, put into the given algebraic functions and find the solution.
Here we have used MATLAB to simplify the functions.
program:
clc clear close all syms x f=x./(x^2+1); f1=x^2./(x^2+1); f2=x^2./(x+1); a=[10 20 30 40 50]; for i=1:5 I=subs(f,x,a(i)); I1=subs(f1,x,a(i)); I2=subs(f2,x,a(i)); ans(i)=double(I); ans1(i)=double(I1); ans2(i)=double(I2); end
Query:
- First, we have defined the given functions.
- Then define the value of x.
- The using function “subs” in MATLAB to put the values of x into the function and get the solution.
- Similar process we will repeat for all the functions.
b.
Explain the solution of the algebraic function
b.
Answer to Problem 1CE
At the different value of
Explanation of Solution
Given: The functions are given
And the value of x is also given
Calculation:
As we can see in the answers, the solution of first function is exponentially decreasing because the value of
Second solution exponentially increasing because
In third solution the value of the function continuously increasing because
Chapter 6 Solutions
Algebra: Structure And Method, Book 1
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