Throwing events in track and field include the shot put, the discus throw, the hammer throw, and the javelin throw. The distance that an athlete can achieve depends on the initial velocity of the object thrown and the angle above the horizontal at which the object leaves the hand. In Exercises of 37-138, an athlete whose event h the shot put releases the shot with the same initial velocity, but at different angles. When the shot is released at an angle of 35 o , its path can be modeled by the formula y = − 0.01 x 2 + 0.7 x + 6.1 in which x is The shot's horizontal distance, in feet, and y is its height, in feet. This formula is shown by one of the graphs, (a) or (b), in the figure. Use the formula to determine the shot's maximum distance. Use a calculator and round to the nearer tenth of a foot. Which graph, (a) or (b), shows the shot's path?
Throwing events in track and field include the shot put, the discus throw, the hammer throw, and the javelin throw. The distance that an athlete can achieve depends on the initial velocity of the object thrown and the angle above the horizontal at which the object leaves the hand. In Exercises of 37-138, an athlete whose event h the shot put releases the shot with the same initial velocity, but at different angles. When the shot is released at an angle of 35 o , its path can be modeled by the formula y = − 0.01 x 2 + 0.7 x + 6.1 in which x is The shot's horizontal distance, in feet, and y is its height, in feet. This formula is shown by one of the graphs, (a) or (b), in the figure. Use the formula to determine the shot's maximum distance. Use a calculator and round to the nearer tenth of a foot. Which graph, (a) or (b), shows the shot's path?
Solution Summary: The author explains how to determine which graph shows the shortest path using the function y=-0.01x2+0.7x+6.1.
Throwing events in track and field include the shot put, the discus throw, the hammer throw, and the javelin throw. The distance that an athlete can achieve depends on the initial velocity of the object thrown and the angle above the horizontal at which the object leaves the hand.
In Exercises of 37-138, an athlete whose event h the shot put releases the shot with the same initial velocity, but at different angles.
When the shot is released at an angle of 35o, its path can be modeled by the formula
y
=
−
0.01
x
2
+
0.7
x
+
6.1
in which x is The shot's horizontal distance, in feet, and y is its height, in feet. This formula is shown by one of the graphs, (a) or (b), in the figure. Use the formula to determine the shot's maximum distance. Use a calculator and round to the nearer tenth of a foot. Which graph, (a) or (b), shows the shot's path?
1
3 -4
In the following matrix
perform the operation 2R1 + R2 → R2.
-2 -1
6
After you have completed this, what numeric value is in the a22 position?
5
-2
0
1
6 12
Let A
=
6
7
-1
and B =
1/2 3 -14
-2 0
4
4
4
0
Compute -3A+2B and call the resulting matrix R.
If rij represent the individual entries in the matrix R, what numeric value is in 131?
Input your answer as a numeric value only.
1
-2
4
10
My goal is to put the matrix
5
-1
1
0 into row echelon form using Gaussian elimination.
3
-2
6
9
My next step is to manipulate this matrix using elementary row operations to get a 0 in the a21 position.
Which of the following operations would be the appropriate elementary row operation to use to get a 0 in
the a21 position?
O (1/5)*R2 --> R2
○ 2R1 + R2 --> R2
○ 5R1+ R2 --> R2
O-5R1 + R2 --> R2
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