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?
eric
pez
Xte
in
z=
Therefore, we have
(x, y, z)=(3.0000,
83.6.1 Exercise
Gauss-Seidel iteration with
Start with (x, y, z) = (0, 0, 0). Use the convergent Jacobi i
Tol=10 to solve the following systems:
1.
5x-y+z = 10
2x-8y-z=11
-x+y+4z=3
iteration (x
Assi 2
Assi 3.
4.
x-5y-z=-8
4x-y- z=13
2x - y-6z=-2
4x y + z = 7
4x-8y + z = -21
-2x+ y +5z = 15
4x + y - z=13
2x - y-6z=-2
x-5y- z=-8
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2025.01.31 22:35
f
Use Pascal's triangle to expand the binomial
(6m+2)^2
Listen
A falling object travels a distance given by the formula d = 6t + 9t2 where d is in feet
and t is the time in seconds. How many seconds will it take for the object to travel
112 feet? Round answer to 2 decimal places. (Write the number, not the units).
Your Answer:
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