PLEASE HELP ASAP 25 POINTS
2 answers:
Answer is A .
How?
See the horizontal line parallel to x-axis.Now with the help of graph,I can write some points on that horizontal line which are:(0,3),(2,3),(-2,3),etc.Just analyze these points.In these points you can see that y-coordinate is constant and is equal to 3.So the equation of this horizontal line is:
y=3 which is analogous to y<=3(Why not y>=3 because the line limits the value to 3 )
The slanted line can be represented by y>2x-1
Also see this image to know why this slanted line bounds the region y>2x-1
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Answer:
a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is
b) Hence the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a meter is 5.5 meters
Step-by-step explanation:
a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :
,
where
R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)
= 14 m / 2
= 7 m (radius of the circle)
Also, center of the circle will be at (0, 2 + R) i.e (0,9)
So, is the trajectory path equation to the circle
Let be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t
At t= 10s, y = 16 m so we have,
---------------(1)
Also, at t= 25s, y =2 m so we have,
--------------(2)
Solving we have,
Therefore is the instantaneous height of the pink short at time t ( in seconds)
b) At t= 10minutes = 10 * 60 s = 600s, we have,
= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)