Answer:
Step-by-step explanation:
<u>Take some reference points on the graph of f and g:</u>
- f(2) = 1, g(2) = 2
- f(4) = 2, g(4) = 4
- f(8) = 4, g(8) = 8
<u>According to the numbers above we can state:</u>
So the value of k is 2
Answer:
4/15
Step-by-step explanation:
Add up the unshaded part
1/3 +2/5
Get a common denominator
1/3 *5/5 + 2/5 *3/3
5/15 + 6/15
11/15
Subtract this from 1 for the entire circle
15/15 -11/15
4/15
4/15 is shaded
Answer:
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Which language is thir?
Answer:
(1 cm)cos3πt
Step-by-step explanation:
Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft
where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.
Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations = 2 s
So, f = 3/2 s =1.5 /s = 1.5 Hz
Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm
h = Acos2πft
= (1 cm)cos2π(1.5Hz)t
= (1 cm)cos3πt
8. 70.5* 10. 30* 12. 5.1*
