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Murrr4er [49]
3 years ago
10

Consider the function g defined by g(x) = x(10 – Ax), A > 0. voer g in Without doing any iterations, determine the non-zero f

ixed point(s) of g in terms 7 of A.
Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Answer:

The only non-zero fixed point is:  x = 9/A.

The Step-by-step explanation:

A fixed point of a function is a points that is mapped to itself by the function; g(x) = x. Therefore, in order to find the fixed point of the given function we need to solve the following equation:

g(x) = x

x(10 - Ax) = x

10x - Ax² = x

10x - x -Ax² = 0

9x - Ax² = 0

Ax² - 9x = 0

The solutions of this second order equation are:

x = 0 and x = 9/A.

Since we are only asked for the non-zero fixed points, the solution is: 9/A.

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For fun question
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Consider the function f(x)=x^{1/3}, which has derivative f'(x)=\dfrac13x^{-2/3}.

The linear approximation of f(x) for some value x within a neighborhood of x=c is given by

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3 years ago
Greg evaluated his spending and found that he was spending about $50 more per month on utilities than he has budgeted. He can tr
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The percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.

According to the question,

We have the following information:

Greg evaluated his spending and found that he was spending about $50 more per month on utilities than he has budgeted. He can transfer money from other categories to increase his utilities budget to $125 per month. If his total monthly income is $2,400.

Now, let's take the percent to be x.

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Hence, the percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.

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1 year ago
The function f(x)=5(2)^x was replaced with f(x)+k , resulting in the function graphed below. what is the value of k?
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3 years ago
70
BaLLatris [955]

Answer:

160 is the answer please tell me if im wrong

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2 years ago
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