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. (Refer to the preceding information and the graphs shown in Exercises 137) When the shot is released at an angle of 65 o , its path can be modeled by the formula y = − 0.04 x 2 + 2.1 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 in Exercises 137. 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. (Refer to the preceding information and the graphs shown in Exercises 137) When the shot is released at an angle of 65 o , its path can be modeled by the formula y = − 0.04 x 2 + 2.1 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 in Exercises 137. 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 evaluates the solution of a quadratic equation c-0.04x2+2.1x+6.1. The solution corresponds to the distance travelled
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.
(Refer to the preceding information and the graphs shown in Exercises 137) When the shot is released at an angle of 65o, its path can be modeled by the formula
y
=
−
0.04
x
2
+
2.1
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 in Exercises 137. 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) Let M and N be non-empty subsets of a linear space X, show that whether
= U or not, and show that there whether exsits a liear function
from P₂(x) into R' which onto but not one-to-one or not.
ام
(2) Let R be a field of real numbers and P,(x)=(a+bx+cx? / a,b,ce R} be a vector space
over R, show that whether there exsit two hyperspaces A and B such that AUB is a
hyperspace or not.
(3) Let A be an affine set in a linear space X over afield F and tEA, show that A-t is a
subspace of Xand show that if M and N are balanced sets then M+N is balanced set.
(4) Write the definition of bounded set in a normed space, and write with prove
an equivalent statement to definition.
(5) Let d be a metric on a linear space X over a field F, write conditions on d in order to
get that there is a norm on X induced dy d and prove that.
(6) Let M be a non-empty subset of a normed space X, show that xEcl(M) iff for any r>o
there exsits yEM such that llx-yll
Find all solutions to the following equation. Do you get any extraneous solutions? Explain why or why
not.
2
2
+
x+1x-1
x21
Show all steps in your process. Be sure to state your claim, provide your evidence, and provide your
reasoning before submitting.
Directions: For problems 1 through 3, read each question carefully and be sure to show all work.
1. What is the phase shift for y = 2sin(2x-)?
2. What is the amplitude of y = 7cos(2x+л)?
3. What is the period of y = sin(3x-π)?
Directions: For problems 4 and 5, you were to compare and contrast the two functions in each problem situation. Be sure to
include a discussion of similarities and differences for the periods, amplitudes, y-minimums, y-maximums, and any phase shift
between the two graphs. Write in complete sentences.
4. y 3sin(2x) and y = 3cos(2x)
5. y 4sin(2x) and y = cos(3x- -플)
Chapter 1 Solutions
Blitzer Algebra And Trigonometry, 6th Edition, 9780134585291, 0134585291, 2018
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