9514 1404 393
Answer:
A. 3×3
B. [0, 1, 5]
C. (rows, columns) = (# equations, # variables) for matrix A; vector x remains unchanged; vector b has a row for each equation.
Step-by-step explanation:
A. The matrix A has a row for each equation and a column for each variable. The entries in each column of a given row are the coefficients of the corresponding variable in the equation the row represents. If the variable is missing, its coefficient is zero.
This system of equations has 3 equations in 3 variables, so matrix A has dimensions ...
A dimensions = (rows, columns) = (# equations, # variables) = (3, 3)
Matrix A is 3×3.
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B. The second row of A represents the second equation:

The coefficients of the variables are 0, 1, 5. These are the entries in row 2 of matrix A.
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C. As stated in part A, the size of matrix A will match the number of equations and variables in the system. If the number of variables remains the same, the number of rows of A (and b) will reflect the number of equations. (The number of columns of A (and rows of x) will reflect the number of variables.)
I’m pretty sure the answer is 16, I’m very sorry if this is incorrect.
Answer:

Step-by-step explanation:
The exponential growth function compounded continuously is equal to
where
A is the final population
P is the initial population
r is the rate of growth in decimal
t is Number of years
e is the mathematical constant number
we have
substitute in the function above
simplify

Take natural log of both sides
![ln(4)=ln[(e)^{0.09t}]](https://tex.z-dn.net/?f=ln%284%29%3Dln%5B%28e%29%5E%7B0.09t%7D%5D)





In the year 2009 there were 3500 birds on an island. If the bird population is declining 2.2% per year it means that in the year 2014 we will have 3500*

= 3131.57 birds.
The best prediction is that in the year 2014 the bird population will be 3132.
Step-by-step explanation:
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