Help pls …..——— :….—-
2 answers:
Answer:
a) 10°
b) closest: 27 seconds
farthest: 9 seconds
c) 20 ft
Step-by-step explanation:
a) Angles around a point add up to 360°, therefore 1 rotation = 360°
If it makes one rotation in 36 seconds, then there are 10° per second as 360/36 = 10
b) closest to wall: this will be a 3/4 rotation:
3/4 of 36 seconds = 0.75 x 36 = 27 seconds
farthest from wall: 1/4 rotation:
1/4 of 36 = 0.25 x 36 = 9 seconds
c) 18 seconds is half of 36 seconds. Therefore, you will have made a 1/2 rotation. So you will be on the same horizontal plane as the start position, but on the opposite side of the circle (see attached diagram).
Therefore, you will be 20ft away from the wall (shown in blue).
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Step-by-step explanation:
Take the first derivative
Set the derivative equal to 0.
or
For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).
For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.
Since we are going to Positve to negative slope, we have a local max at x=-1
Plug in -1 for x into the original function
So the local max is 2 and occurs at x=-1,
For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.
Since we are going to decreasing to increasing, we have minimum at x=1,
Plug in 1 for x into original function
So the local min occurs at -2, at x=1