For Exercises 41-60, solve the system by using Gaussian elimination or Gauss-Jordan elimination. (See Examples 3-5) x 1 + x 2 + 5 x 4 = − 4 x 2 + 2 x 4 = 3 − 2 x 2 + x 3 − 3 x 4 = − 5 3 x 1 + 3 x 2 + 17 x 4 = − 10
For Exercises 41-60, solve the system by using Gaussian elimination or Gauss-Jordan elimination. (See Examples 3-5) x 1 + x 2 + 5 x 4 = − 4 x 2 + 2 x 4 = 3 − 2 x 2 + x 3 − 3 x 4 = − 5 3 x 1 + 3 x 2 + 17 x 4 = − 10
Solution Summary: The author calculates the solution of the given system by Gauss-Jordan elimination.
After a great deal of experimentation, two college senior physics majors determined that when a bottle of French champagne is shaken several times, held upright, and uncorked,
its cork travels according to the function below, where s is its height (in feet) above the ground t seconds after being released.
s(t)=-16t² + 30t+3
a. How high will it go?
b. How long is it in the air?
+6x²+135x+1) (0≤x≤10). a) Find the number of units
The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x²+6x² + 135x+
that should be sold in order to maximize the total profit. b) What is the maximum profit?
The fox population in a certain region has an annual growth rate of 8 percent per year. It is estimated that the
population in the year 2000 was 22600.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Your answer is P(t)
=
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer should be an integer)
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