Answer:
Step-by-step explanation:
27
Answer:
Step-by-step explanation:
<u>Trigonometric Modeling</u>
Some events are more adequate to be modeled with trigonometric equations, especially sinusoids which run from a minimum to a maximum value periodically. The sine and cosine functions can work in such cases, and they usually are chosen exclusively by they behavior in time. The sine function starts in the equilibrium point at t=0, the cosine starts at the maximum point at t=0. Of course, we're assuming there is no phase shift.
Carefully reading the conditions of the problem, we learn that the height is being measured from its maximum height. It makes the cosine as the required function. We only need to find its angular frequency. The cosine function can be expressed as.
Where A is the amplitude and w is the angular frequency. The amplitude is obviously 9 since it's the distance from the center to the nozzle. The angular frequency can be computed by
where T is the period or the time taken to complete a whole revolution. That time is given as 8 seconds, so
Thus the function that models the phenomena is
Option: D.
Answer:
1.) (11, -7/3), 2.) No solution. 3.) (1, 3)
Step-by-step explanation:
1.)
2x + 3y = 15
x - 3y = 18
Solve...use elimination method
2x + x + 3y - 3y = 15 + 18
3x = 33
x =11
11 - 3y = 18
-3y = 7
y = -7/3
(11, -7/3)
---------------------------------------
2.) y = 4x + 4
y = 4x - 4
Use substitution.
4x + 4 = 4x - 4
4 = -4 FALSE NO Solution
3.) y = 5- 2x
4x + 3y = 13
Can use elimination method
2y = 10 - 4x
add it to 4x + 3y = 13
10 + 3y = 2y + 13
y = 3
3 = 5 - 2x
x = 1
(1, 3)
After multiplying LHS and RHS,we have
4232.8-325.6x=36.696x-95.4096
4232.8-95.4096=36.696x+325.6x
4137.3904=362.296x
4137.3904/362.296=x
x=11.4199174