Suppose that for all t, a particle moving with constant speed is parameterized by r(t). Given that the length of the path from t
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Answer:
Step-by-step explanation:
They give us the slope so this makes it a lot easier.
Slope intercept formula is
y=mx+b
(m) is slope
(b) is y intercept
we can apply our slope into the formula
y=-3/2x+b
Now we can replace (y) with the (y) from the ordered pair they gave us (4, 10), and replace the (x) with the (x) from the ordered pair they gave us
(4, 10)
10=-3/2(4)+b
Now solve
10=-6+b
Add 6 to each side
16=b
Now we we put both our slope and intercept into the formula.
In general for a rectangle of dimensions w by h and a semicircle of diameter w we get an area:
The halfs are because a semicircle is half a circle and a radius is half a diameter.
We're told
Substituting,
Answer: B