1)

Name of the quadrant containing the given point.

1^s^t quadrant.

Given information:

Point is: 2,4

Formula used:

If both the coordinates, i.e. both x and y coordinate of a point are positive then it is in 1^s^t quadrant.

If the x coordinate of point is negative and y coordinate of that point is positive, then it is in 2ⁿ^d quadrant.

If both the coordinates, i.e. both x and y coordinate of a point are negative then it is in 3^r^d quadrant.

If the x coordinate of point is positive and y coordinate of that point is negative, then it is in 4^t^h quadrant.

Calculation:

To give the name of the quadrant of the point 2,4 check the sign of its x and y coordinate.

Since, both the coordinates, i.e. both x and y coordinate of a point are positive then it is in 1^s^t quadrant. Thus, the point 2,4 is in 1^s^t quadrant.

2)

Name of the quadrant containing the given point.

y-axis

Given information:

Point is: 0,3

Formula used:

If both the coordinates, i.e. both x and y coordinate of a point are positive then it is in 1^s^t quadrant.

If the x coordinate of point is negative and y coordinate of that point is positive, then it is in 2ⁿ^d quadrant.

If both the coordinates, i.e. both x and y coordinate of a point are negative then it is in 3^r^d quadrant.

If the x coordinate of point is positive and y coordinate of that point is negative, then it is in 4^t^h quadrant.

The y coordinate of point on x -axis is 0.

The x coordinate of point on y -axis is 0.

Calculation:

To give the name of the quadrant of the point 0,3 check the sign of its x and y coordinate.

First note that the x coordinate of given point is 0, and it indicates that the point is on y-axis.

Thus, 0,3 is on y-axis.

3)

Name of the quadrant containing the given point.

2ⁿ^d quadrant.

Given information:

Point is: −2,3

Formula used:

If both the coordinates, i.e. both x and y coordinate of a point are positive then it is in 1^s^t quadrant.

If the x coordinate of point is negative and y coordinate of that point is positive, then it is in 2ⁿ^d quadrant.

If both the coordinates, i.e. both x and y coordinate of a point are negative then it is in 3^r^d quadrant.

If the x coordinate of point is positive and y coordinate of that point is negative, then it is in 4^t^h quadrant.

Calculation:

To give the name of the quadrant of the point −2,3 check the sign of its x and y coordinate.

Since, the sign of x coordinate of point is negative and sign of y coordinate of that point is positive, then it is in 2ⁿ^d quadrant.

Thus, the point −2,3 is in 2ⁿ^d quadrant..

4)

Name of the quadrant containing the given point.

3^r^d quadrant.

Given information:

Point is: −1,−4

Formula used:

If both the coordinates, i.e. both x and y coordinate of a point are positive then it is in 1^s^t quadrant.

If the x coordinate of point is negative and y coordinate of that point is positive, then it is in 2ⁿ^d quadrant.

If both the coordinates, i.e. both x and y coordinate of a point are negative then it is in 3^r^d quadrant.

If the x coordinate of point is positive and y coordinate of that point is negative, then it is in 4^t^h quadrant.

Calculation:

To give the name of the quadrant of the point −1,−4 check the sign of its x and y coordinate.

Since, the sign of both the coordinates, i.e. both x and y coordinate of a point are negative then it is in 3^r^d quadrant.

Thus, the point −1,−4 is in 3^r^d quadrant..

Chapter P.2, Problem 2E

Chapter P.2, Problem 4E

Chapter P Solutions

PRECALCULUS:GRAPHICAL,...-W/ACCESS

Ch. P.1 - Prob. 1QR Ch. P.1 - Prob. 2QR Ch. P.1 - Prob. 3QR Ch. P.1 - Prob. 4QR Ch. P.1 - Prob. 5QR Ch. P.1 - Prob. 6QR Ch. P.1 - Prob. 7QR Ch. P.1 - Prob. 8QR Ch. P.1 - Prob. 9QR Ch. P.1 - Prob. 10QR

Ch. P.1 - Prob. 1E Ch. P.1 - Prob. 2E Ch. P.1 - Prob. 3E Ch. P.1 - Prob. 4E Ch. P.1 - Prob. 5E Ch. P.1 - Prob. 6E Ch. P.1 - Prob. 7E Ch. P.1 - Prob. 8E Ch. P.1 - Prob. 9E Ch. P.1 - Prob. 10E Ch. P.1 - Prob. 11E Ch. P.1 - Prob. 12E Ch. P.1 - Prob. 13E Ch. P.1 - Prob. 14E Ch. P.1 - Prob. 15E Ch. P.1 - Prob. 16E Ch. P.1 - Prob. 17E Ch. P.1 - Prob. 18E Ch. P.1 - Prob. 19E Ch. P.1 - Prob. 20E Ch. P.1 - Prob. 21E Ch. P.1 - Prob. 22E Ch. P.1 - Prob. 23E Ch. P.1 - Prob. 24E Ch. P.1 - Prob. 25E Ch. P.1 - Prob. 26E Ch. P.1 - Prob. 27E Ch. P.1 - Prob. 28E Ch. P.1 - Prob. 29E Ch. P.1 - Prob. 30E Ch. P.1 - Prob. 31E Ch. P.1 - Prob. 32E Ch. P.1 - Prob. 33E Ch. P.1 - Prob. 34E Ch. P.1 - Prob. 35E Ch. P.1 - Prob. 36E Ch. P.1 - Prob. 37E Ch. P.1 - Prob. 38E Ch. P.1 - Prob. 39E Ch. P.1 - Prob. 40E Ch. P.1 - Prob. 41E Ch. P.1 - Prob. 42E Ch. P.1 - Prob. 43E Ch. P.1 - Prob. 44E Ch. P.1 - Prob. 45E Ch. P.1 - Prob. 46E Ch. P.1 - Prob. 47E Ch. P.1 - In Exercises 4752, simplify the expression. Assume...Ch. P.1 - In Exercises 4752, simplify the expression. Assume...Ch. P.1 - Prob. 50E Ch. P.1 - Prob. 51E Ch. P.1 - Prob. 52E Ch. P.1 - Prob. 53E Ch. P.1 - Prob. 54E Ch. P.1 - Prob. 55E Ch. P.1 - Prob. 56E Ch. P.1 - Prob. 57E Ch. P.1 - Prob. 58E Ch. P.1 - Prob. 59E Ch. P.1 - Prob. 60E Ch. P.1 - Prob. 61E Ch. P.1 - Prob. 62E Ch. P.1 - Prob. 63E Ch. P.1 - In Exercises 63 and 64, use scientific notation to...Ch. P.1 - Prob. 65E Ch. P.1 - Prob. 66E Ch. P.1 - Prob. 67E Ch. P.1 - Prob. 68E Ch. P.1 - Prob. 69E Ch. P.1 - Prob. 70E Ch. P.1 - Prob. 71E Ch. P.1 - Prob. 72E Ch. P.1 - Prob. 73E Ch. P.1 - Prob. 74E Ch. P.1 - Prob. 75E Ch. P.1 - Prob. 76E Ch. P.2 - Prob. 1QR Ch. P.2 - Prob. 2QR Ch. P.2 - Prob. 3QR Ch. P.2 - Prob. 4QR Ch. P.2 - Prob. 5QR Ch. P.2 - Prob. 6QR Ch. P.2 - Prob. 7QR Ch. P.2 - Prob. 8QR Ch. P.2 - Prob. 9QR Ch. P.2 - Prob. 10QR Ch. P.2 - Prob. 1E Ch. P.2 - Prob. 2E Ch. P.2 - Prob. 3E Ch. P.2 - Prob. 4E Ch. P.2 - Prob. 5E Ch. P.2 - Prob. 6E Ch. P.2 - Prob. 7E Ch. P.2 - Prob. 8E Ch. P.2 - Prob. 9E Ch. P.2 - Prob. 10E Ch. P.2 - Prob. 11E Ch. P.2 - Prob. 12E Ch. P.2 - Prob. 13E Ch. P.2 - Prob. 14E Ch. P.2 - Prob. 15E Ch. P.2 - Prob. 16E Ch. P.2 - Prob. 17E Ch. P.2 - Prob. 18E Ch. P.2 - Prob. 19E Ch. P.2 - Prob. 20E Ch. P.2 - Prob. 21E Ch. P.2 - Prob. 22E Ch. P.2 - Prob. 23E Ch. P.2 - Prob. 24E Ch. P.2 - Prob. 25E Ch. P.2 - Prob. 26E Ch. P.2 - Prob. 27E Ch. P.2 - Prob. 28E Ch. P.2 - Prob. 29E Ch. P.2 - Prob. 30E Ch. P.2 - Prob. 31E Ch. P.2 - Prob. 32E Ch. P.2 - Prob. 33E Ch. P.2 - Prob. 34E Ch. P.2 - Prob. 35E Ch. P.2 - Prob. 36E Ch. P.2 - Prob. 37E Ch. P.2 - Prob. 38E Ch. P.2 - Prob. 39E Ch. P.2 - Prob. 40E Ch. P.2 - Prob. 41E Ch. P.2 - Prob. 42E Ch. P.2 - Prob. 43E Ch. P.2 - Prob. 44E Ch. P.2 - Prob. 45E Ch. P.2 - Prob. 46E Ch. P.2 - Prob. 47E Ch. P.2 - Prob. 48E Ch. P.2 - Prob. 49E Ch. P.2 - Prob. 50E Ch. P.2 - Prob. 51E Ch. P.2 - Prob. 52E Ch. P.2 - Prob. 53E Ch. P.2 - Prob. 54E Ch. P.2 - Prob. 55E Ch. P.2 - Prob. 56E Ch. P.2 - Prob. 57E Ch. P.2 - Prob. 58E Ch. P.2 - Prob. 59E Ch. P.2 - Prob. 60E Ch. P.2 - Prob. 61E Ch. P.2 - Prob. 62E Ch. P.2 - Prob. 63E Ch. P.2 - Prob. 64E Ch. P.2 - Prob. 65E Ch. P.2 - Prob. 66E Ch. P.2 - Prob. 67E Ch. P.2 - Prob. 68E Ch. P.2 - Prob. 69E Ch. P.2 - Prob. 70E Ch. P.3 - Prob. 1QR Ch. P.3 - Prob. 2QR Ch. P.3 - Prob. 3QR Ch. P.3 - Prob. 4QR Ch. P.3 - Prob. 5QR Ch. P.3 - Prob. 6QR Ch. P.3 - Prob. 7QR Ch. P.3 - Prob. 8QR Ch. P.3 - Prob. 9QR Ch. P.3 - Prob. 10QR Ch. P.3 - Prob. 1E Ch. P.3 - Prob. 2E Ch. P.3 - Prob. 3E Ch. P.3 - Prob. 4E Ch. P.3 - Prob. 5E Ch. P.3 - Prob. 6E Ch. P.3 - Prob. 7E Ch. P.3 - Prob. 8E Ch. P.3 - Prob. 9E Ch. P.3 - Prob. 10E Ch. P.3 - Prob. 11E Ch. P.3 - Prob. 12E Ch. P.3 - Prob. 13E Ch. P.3 - Prob. 14E Ch. P.3 - Prob. 15E Ch. P.3 - Prob. 16E Ch. P.3 - Prob. 17E Ch. P.3 - Prob. 18E Ch. P.3 - Prob. 19E Ch. P.3 - Prob. 20E Ch. P.3 - Prob. 21E Ch. P.3 - Prob. 22E Ch. P.3 - Prob. 23E Ch. P.3 - Prob. 24E Ch. P.3 - Prob. 25E Ch. P.3 - Prob. 26E Ch. P.3 - Prob. 27E Ch. P.3 - Prob. 28E Ch. P.3 - Prob. 29E Ch. P.3 - Prob. 30E Ch. P.3 - Prob. 31E Ch. P.3 - Prob. 32E Ch. P.3 - Prob. 33E Ch. P.3 - Prob. 34E Ch. P.3 - Prob. 35E Ch. P.3 - Prob. 36E Ch. P.3 - Prob. 37E Ch. P.3 - Prob. 38E Ch. P.3 - Prob. 39E Ch. P.3 - Prob. 40E Ch. P.3 - Prob. 41E Ch. P.3 - Prob. 42E Ch. P.3 - Prob. 43E Ch. P.3 - Prob. 44E Ch. P.3 - Prob. 45E Ch. P.3 - Prob. 46E Ch. P.3 - Prob. 47E Ch. P.3 - Prob. 48E Ch. P.3 - Prob. 49E Ch. P.3 - Prob. 50E Ch. P.3 - Prob. 51E Ch. P.3 - Prob. 52E Ch. P.3 - Prob. 53E Ch. P.3 - Prob. 54E Ch. P.3 - Prob. 55E Ch. P.3 - Prob. 56E Ch. P.3 - Prob. 57E Ch. P.3 - Prob. 58E Ch. P.3 - Prob. 59E Ch. P.3 - Prob. 60E Ch. P.3 - Prob. 61E Ch. P.3 - Prob. 62E Ch. P.3 - Prob. 63E Ch. P.3 - Prob. 64E Ch. P.3 - Prob. 65E Ch. P.3 - Prob. 66E Ch. P.3 - Prob. 67E Ch. P.3 - Prob. 68E Ch. P.3 - Prob. 69E Ch. P.3 - Prob. 70E Ch. P.3 - Prob. 71E Ch. P.3 - Prob. 72E Ch. P.3 - Prob. 73E Ch. P.4 - Prob. 1QR Ch. P.4 - Prob. 2QR Ch. P.4 - Prob. 3QR Ch. P.4 - Prob. 4QR Ch. P.4 - Prob. 5QR Ch. P.4 - Prob. 6QR Ch. P.4 - Prob. 7QR Ch. P.4 - Prob. 8QR Ch. P.4 - Prob. 9QR Ch. P.4 - Prob. 10QR Ch. P.4 - Prob. 1E Ch. P.4 - Prob. 2E Ch. P.4 - Prob. 3E Ch. P.4 - Prob. 4E Ch. P.4 - Prob. 5E Ch. P.4 - Prob. 6E Ch. P.4 - Prob. 7E Ch. P.4 - Prob. 8E Ch. P.4 - Prob. 9E Ch. P.4 - Prob. 10E Ch. P.4 - Prob. 11E Ch. P.4 - Prob. 12E Ch. P.4 - Prob. 13E Ch. P.4 - Prob. 14E Ch. P.4 - Prob. 15E Ch. P.4 - Prob. 16E Ch. P.4 - Prob. 17E Ch. P.4 - Prob. 18E Ch. P.4 - Prob. 19E Ch. P.4 - Prob. 20E Ch. P.4 - Prob. 21E Ch. P.4 - Prob. 22E Ch. P.4 - Prob. 23E Ch. P.4 - Prob. 24E Ch. P.4 - Prob. 25E Ch. P.4 - Prob. 26E Ch. P.4 - Prob. 27E Ch. P.4 - Prob. 28E Ch. P.4 - Prob. 29E Ch. P.4 - Prob. 30E Ch. P.4 - Prob. 31E Ch. P.4 - Prob. 32E Ch. P.4 - Prob. 33E Ch. P.4 - Prob. 34E Ch. P.4 - Prob. 35E Ch. P.4 - Prob. 36E Ch. P.4 - Prob. 37E Ch. P.4 - Prob. 38E Ch. P.4 - Prob. 39E Ch. P.4 - Prob. 40E Ch. P.4 - Prob. 41E Ch. P.4 - Prob. 42E Ch. P.4 - Prob. 43E Ch. P.4 - Prob. 44E Ch. P.4 - Prob. 45E Ch. P.4 - Prob. 46E Ch. P.4 - Prob. 47E Ch. P.4 - Prob. 48E Ch. P.4 - Prob. 49E Ch. P.4 - Prob. 50E Ch. P.4 - Prob. 51E Ch. P.4 - Prob. 52E Ch. P.4 - Prob. 53E Ch. P.4 - Prob. 54E Ch. P.4 - Prob. 55E Ch. P.4 - Prob. 56E Ch. P.4 - Prob. 57E Ch. P.4 - Prob. 58E Ch. P.4 - Prob. 59E Ch. P.4 - Prob. 60E Ch. P.4 - Prob. 61E Ch. P.4 - Prob. 62E Ch. P.4 - Prob. 63E Ch. P.4 - Prob. 64E Ch. P.4 - Prob. 65E Ch. P.4 - Prob. 66E Ch. P.4 - Prob. 67E Ch. P.4 - Prob. 68E Ch. P.4 - Prob. 69E Ch. P.4 - Prob. 70E Ch. P.4 - Prob. 71E Ch. P.5 - Prob. 1QR Ch. P.5 - Prob. 2QR Ch. P.5 - Prob. 3QR Ch. P.5 - Prob. 4QR Ch. P.5 - Prob. 5QR Ch. P.5 - Prob. 6QR Ch. P.5 - Prob. 7QR Ch. P.5 - Prob. 8QR Ch. P.5 - Prob. 9QR Ch. P.5 - Prob. 10QR Ch. P.5 - Prob. 1E Ch. P.5 - Prob. 2E Ch. P.5 - Prob. 3E Ch. P.5 - Prob. 4E Ch. P.5 - Prob. 5E Ch. P.5 - Prob. 6E Ch. P.5 - Prob. 7E Ch. P.5 - Prob. 8E Ch. P.5 - Prob. 9E Ch. P.5 - Prob. 10E Ch. P.5 - Prob. 11E Ch. P.5 - Prob. 12E Ch. P.5 - Prob. 13E Ch. P.5 - Prob. 14E Ch. P.5 - Prob. 15E Ch. P.5 - Prob. 16E Ch. P.5 - Prob. 17E Ch. P.5 - Prob. 18E Ch. P.5 - Prob. 19E Ch. P.5 - Prob. 20E Ch. P.5 - Prob. 21E Ch. P.5 - Prob. 22E Ch. P.5 - Prob. 23E Ch. P.5 - Prob. 24E Ch. P.5 - Prob. 25E Ch. P.5 - Prob. 26E Ch. P.5 - Prob. 27E Ch. P.5 - Prob. 28E Ch. P.5 - Prob. 29E Ch. P.5 - Prob. 30E Ch. P.5 - Prob. 31E Ch. P.5 - Prob. 32E Ch. P.5 - Prob. 33E Ch. P.5 - Prob. 34E Ch. P.5 - Prob. 35E Ch. P.5 - Prob. 36E Ch. P.5 - Prob. 37E Ch. P.5 - Prob. 38E Ch. P.5 - Prob. 39E Ch. P.5 - Prob. 40E Ch. P.5 - Prob. 41E Ch. P.5 - Prob. 42E Ch. P.5 - Prob. 43E Ch. P.5 - Prob. 44E Ch. P.5 - Prob. 45E Ch. P.5 - Prob. 46E Ch. P.5 - Prob. 47E Ch. P.5 - Prob. 48E Ch. P.5 - Prob. 49E Ch. P.5 - Prob. 50E Ch. P.5 - Prob. 51E Ch. P.5 - Prob. 52E Ch. P.5 - Prob. 53E Ch. P.5 - Prob. 54E Ch. P.5 - Prob. 55E Ch. P.5 - Prob. 56E Ch. P.5 - Prob. 57E Ch. P.5 - Prob. 58E Ch. P.5 - Prob. 59E Ch. P.5 - Prob. 60E Ch. P.5 - Prob. 61E Ch. P.5 - Prob. 62E Ch. P.5 - Prob. 63E Ch. P.5 - Prob. 64E Ch. P.5 - Prob. 65E Ch. P.5 - Prob. 66E Ch. P.5 - Prob. 67E Ch. P.5 - Prob. 68E Ch. P.5 - Prob. 69E Ch. P.5 - Prob. 70E Ch. P.5 - Prob. 71E Ch. P.6 - Prob. 1QR Ch. P.6 - Prob. 2QR Ch. P.6 - Prob. 3QR Ch. P.6 - Prob. 4QR Ch. P.6 - Prob. 5QR Ch. P.6 - Prob. 6QR Ch. P.6 - Prob. 7QR Ch. P.6 - Prob. 8QR Ch. P.6 - Prob. 9QR Ch. P.6 - Prob. 10QR Ch. P.6 - Prob. 1E Ch. P.6 - Prob. 2E Ch. P.6 - Prob. 3E Ch. P.6 - Prob. 4E Ch. P.6 - Prob. 5E Ch. P.6 - Prob. 6E Ch. P.6 - Prob. 7E Ch. P.6 - Prob. 8E Ch. P.6 - Prob. 9E Ch. P.6 - Prob. 10E Ch. P.6 - Prob. 11E Ch. P.6 - Prob. 12E Ch. P.6 - Prob. 13E Ch. P.6 - Prob. 14E Ch. P.6 - Prob. 15E Ch. P.6 - Prob. 16E Ch. P.6 - Prob. 17E Ch. P.6 - Prob. 18E Ch. P.6 - Prob. 19E Ch. P.6 - Prob. 20E Ch. P.6 - Prob. 21E Ch. P.6 - Prob. 22E Ch. P.6 - Prob. 23E Ch. P.6 - Prob. 24E Ch. P.6 - Prob. 25E Ch. P.6 - Prob. 26E Ch. P.6 - Prob. 27E Ch. P.6 - Prob. 28E Ch. P.6 - Prob. 29E Ch. P.6 - Prob. 30E Ch. P.6 - Prob. 31E Ch. P.6 - Prob. 32E Ch. P.6 - Prob. 33E Ch. P.6 - Prob. 34E Ch. P.6 - Prob. 35E Ch. P.6 - Prob. 36E Ch. P.6 - Prob. 37E Ch. P.6 - Prob. 38E Ch. P.6 - Prob. 39E Ch. P.6 - Prob. 40E Ch. P.6 - Prob. 41E Ch. P.6 - Prob. 42E Ch. P.6 - Prob. 43E Ch. P.6 - Prob. 44E Ch. P.6 - Prob. 45E Ch. P.6 - Prob. 46E Ch. P.6 - Prob. 47E Ch. P.6 - Prob. 48E Ch. P.6 - Prob. 49E Ch. P.6 - Prob. 50E Ch. P.6 - Prob. 51E Ch. P.6 - Prob. 52E Ch. P.6 - Prob. 53E Ch. P.6 - Prob. 54E Ch. P.6 - Prob. 55E Ch. P.6 - Prob. 56E Ch. P.6 - Prob. 57E Ch. P.7 - Prob. 1QR Ch. P.7 - Prob. 2QR Ch. P.7 - Prob. 3QR Ch. P.7 - Prob. 4QR Ch. P.7 - Prob. 5QR Ch. P.7 - Prob. 6QR Ch. P.7 - Prob. 7QR Ch. P.7 - Prob. 8QR Ch. P.7 - Prob. 9QR Ch. P.7 - Prob. 10QR Ch. P.7 - Prob. 1E Ch. P.7 - Prob. 2E Ch. P.7 - Prob. 3E Ch. P.7 - Prob. 4E Ch. P.7 - Prob. 5E Ch. P.7 - Prob. 6E Ch. P.7 - Prob. 7E Ch. P.7 - Prob. 8E Ch. P.7 - Prob. 9E Ch. P.7 - Prob. 10E Ch. P.7 - Prob. 11E Ch. P.7 - Prob. 12E Ch. P.7 - Prob. 13E Ch. P.7 - Prob. 14E Ch. P.7 - Prob. 15E Ch. P.7 - Prob. 16E Ch. P.7 - Prob. 17E Ch. P.7 - Prob. 18E Ch. P.7 - Prob. 19E Ch. P.7 - Prob. 20E Ch. P.7 - Prob. 21E Ch. P.7 - Prob. 22E Ch. P.7 - Prob. 23E Ch. P.7 - Prob. 24E Ch. P.7 - Prob. 25E Ch. P.7 - Prob. 26E Ch. P.7 - Prob. 27E Ch. P.7 - Prob. 28E Ch. P.7 - Prob. 29E Ch. P.7 - Prob. 30E Ch. P.7 - Prob. 31E Ch. P.7 - Prob. 32E Ch. P.7 - Prob. 33E Ch. P.7 - Prob. 34E Ch. P.7 - Prob. 35E Ch. P.7 - Prob. 36E Ch. P.7 - Prob. 37E Ch. P.7 - Prob. 38E Ch. P.7 - Prob. 39E Ch. P.7 - Prob. 40E Ch. P.7 - Prob. 41E Ch. P.7 - Prob. 42E Ch. P.7 - Prob. 43E Ch. P.7 - Prob. 44E Ch. P.7 - Prob. 45E Ch. P.7 - Prob. 46E Ch. P.7 - Prob. 47E Ch. P.7 - Prob. 48E Ch. P - Prob. 1RE Ch. P - Prob. 2RE Ch. P - Prob. 3RE Ch. P - Prob. 4RE Ch. P - In Exercises 5 and 6, simplify the expression....Ch. P - Prob. 6RE Ch. P - Prob. 7RE Ch. P - Prob. 8RE Ch. P - Prob. 9RE Ch. P - Prob. 10RE Ch. P - Prob. 11RE Ch. P - Prob. 12RE Ch. P - Prob. 13RE Ch. P - Prob. 14RE Ch. P - Prob. 15RE Ch. P - Prob. 16RE Ch. P - Prob. 17RE Ch. P - Prob. 18RE Ch. P - Prob. 19RE Ch. P - Prob. 20RE Ch. P - Prob. 21RE Ch. P - Prob. 22RE Ch. P - Prob. 23RE Ch. P - Prob. 24RE Ch. P - Prob. 25RE Ch. P - Prob. 26RE Ch. P - Prob. 27RE Ch. P - Prob. 28RE Ch. P - Prob. 29RE Ch. P - Prob. 30RE Ch. P - Prob. 31RE Ch. P - Prob. 32RE Ch. P - Prob. 33RE Ch. P - Prob. 34RE Ch. P - Prob. 35RE Ch. P - Prob. 36RE Ch. P - Prob. 37RE Ch. P - Prob. 38RE Ch. P - Prob. 39RE Ch. P - Prob. 40RE Ch. P - Prob. 41RE Ch. P - Prob. 42RE Ch. P - Prob. 43RE Ch. P - Prob. 44RE Ch. P - Prob. 45RE Ch. P - Prob. 46RE Ch. P - Prob. 47RE Ch. P - Prob. 48RE Ch. P - Prob. 49RE Ch. P - Prob. 50RE Ch. P - Prob. 51RE Ch. P - Prob. 52RE Ch. P - Prob. 53RE Ch. P - Prob. 54RE Ch. P - Prob. 55RE Ch. P - Prob. 56RE Ch. P - Prob. 57RE Ch. P - Prob. 58RE Ch. P - Prob. 59RE Ch. P - Prob. 60RE Ch. P - Prob. 61RE Ch. P - Prob. 62RE Ch. P - Prob. 63RE Ch. P - Prob. 64RE Ch. P - Prob. 65RE Ch. P - Prob. 66RE Ch. P - Prob. 67RE Ch. P - Prob. 68RE Ch. P - Prob. 69RE Ch. P - Prob. 70RE Ch. P - Prob. 71RE Ch. P - Prob. 72RE Ch. P - Prob. 73RE Ch. P - Prob. 74RE Ch. P - Prob. 75RE Ch. P - Prob. 76RE Ch. P - Prob. 77RE Ch. P - Prob. 78RE Ch. P - Prob. 79RE Ch. P - Prob. 80RE Ch. P - Prob. 81RE Ch. P - Prob. 82RE Ch. P - Prob. 83RE

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