a. The
component tells you the particle's height:

b. The particle's velocity is obtained by differentiating its position function:

so that its velocity at time
is

c. The tangent to
at
is

Answer:
0
Step-by-step explanation:
By inspection or finding points, we see that 2nd ave is perfectly flat, or in other words, has slope of 0.
If line 1 is parallel to line 2, it means their slopes are the same.
So, the new road parallel to 2nd ave has a slope of
.
The answer is 8 .. hope this helps a lot :)
Answer:
cosθ = sinθ/tanθ
Step-by-step explanation:
tanθ = sinθ/cosθ (Given)
cosθ(tanθ) = sinθ (Mulitplied cosθ on both sides)
cosθ = sinθ/tanθ (Divided tanθ on both sides)
Answer:
$ 850
Step-by-step explanation:
Martha and her brother started their own car-washing business.
We need to use front-end estimation to find out about how much their business will earn in 5 weeks.
Amount charged per car = $8.50
Number of cars washed per weekend = 22
Therefore, amount earned per weekend = Amount charged per car × Number of cars washed per weekend = 8.50 × 22 = $ 187
Amount earned in 5 weeks = amount earned per weekend × 5 = 187 × 5 = $ 935
Therefore, their business will earn $ 935 in 5 weeks.