Answer:
a.
Period = π
Amplitude = 4
b.
Maximum at: x = 0, π and 2π
Minimum at: x = π/2 and 3π/2
Zeros at: x = π/4, 3π/4, 5π/4 and 7π/4
Step-by-step explanation:
Part a:
Amplitude represents the half of the distance between the maximum point and the minimum point of the function. So the easy way to find the amplitude is: Find the difference between maximum and minimum value of the function and divide the difference by 2.
So, amplitude will be:
Therefore, the amplitude of the function is 4.
Period is the time in which the function completes its one cycle. From the graph we can see that cosine started at 0 and completed its cycle at π. After π the same value starts to repeat. So the period of the given cosine function is π.
Part b:
From the graph we can see that the maximum values occur at the following points: x = 0, π and 2π
The scale on x-axis between 0 and π is divided into 4 squares, so each square represents π/4
Therefore, the minimum value occurs at x = π/2 and 3π/2
Zeros occur where the graph crosses the x-axis. So the zeros occur at the following points: π/4, 3π/4, 5π/4 and 7π/4
Answer: 4/5 is the proper fraction
In both the sets, 3 and m as well as n can be found as common factors.
So,
3mn( m+4n)
Therefore the answer is 3mn (#3)
Answer:
93.06
Step-by-step explanation:
86.56 + 45.38 = 131.94
225 - 131.94 = 93.06
Answer: City A is 34,281 feet higher that City B.
Step-by-step explanation:
You know that:
- City A has an elevation of 15,723 feet above sea level.
- City B has an elevation of 18,558 feet below sea level.
The sea level is: 0 feet. Therefore, to calculate how much higher is City A than City B you must add both quantities, because from the City B to the sea level there are 18,558 feet and from the sea level to the City A there are 15,723 feet.
Then:
15,723 feet+18,558 feet=34,281 feet