On January 1, 2000, the population of Texas was approximately 21 million. On January 1, 2010, the population was 25.2 million. a. Write a function of the form P t = P 0 e k t to represent the population P t of Texas t years after January 1, 2000. Round k to 5 decimal places. b. Use the function in part (a) to population on January 1, 2020. Round to 1 decimal place. c. Use the function in part (a) to determine the year during which the population of Texas will reach 40 million if this trend continues.
On January 1, 2000, the population of Texas was approximately 21 million. On January 1, 2010, the population was 25.2 million. a. Write a function of the form P t = P 0 e k t to represent the population P t of Texas t years after January 1, 2000. Round k to 5 decimal places. b. Use the function in part (a) to population on January 1, 2020. Round to 1 decimal place. c. Use the function in part (a) to determine the year during which the population of Texas will reach 40 million if this trend continues.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Find the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)
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How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY