![subject](/tpl/images/cats/mat.png)
Mathematics, 14.06.2021 06:20 kevinh2683
Part of a cross-country skier's path can be described with the vector function r = <2 + 6t + 2 cos(t), (15 − t)(1 − sin(t))> for 0 ≤ t ≤ 15 minutes, with x and y measured in meters.
The derivatives of these functions are given by x′(t) = 6 − 2sin(t) and y′(t) = −15cos(t) + tcos(t) − 1 + sin(t).
1. Find the slope of the path at time t = 4. Show the computations that lead to your answer.
2. Find the time when the skier's horizontal position is x = 60.
3. Find the acceleration vector of the skier when the skier's horizontal position is x = 60.
4. Find the speed of the skier when he is at his maximum height and find his speed in meters/min.
5. Find the total distance in meters that the skier travels from t = 0 to t = 15 minutes.
![ansver](/tpl/images/cats/User.png)
Answers: 2
Another question on Mathematics
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 21:00
Mr. thompson is on a diet. he currently weighs 260 pounds. he loses 4 pounds per month. what part of the story makes the relationship not proportional?
Answers: 3
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 23:30
Afactory buys 10% of its components from suppliers b and the rest from supplier c. it is known that 6% of the components it buys are faulty. of the components brought from suppliers a,9% are faulty and of the components bought from suppliers b, 3% are faulty. find the percentage of components bought from supplier c that are faulty.
Answers: 1
![question](/tpl/images/cats/mat.png)
Mathematics, 22.06.2019 02:00
The quotient of 15 and a number is 1 over 3 written as an equation
Answers: 1
You know the right answer?
Part of a cross-country skier's path can be described with the vector function r = <2 + 6t + 2 co...
Questions
![question](/tpl/images/cats/obshestvoznanie.png)
Social Studies, 31.07.2019 22:30
![question](/tpl/images/cats/istoriya.png)
History, 31.07.2019 22:30
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/ekonomika.png)
![question](/tpl/images/cats/istoriya.png)
History, 31.07.2019 22:30
![question](/tpl/images/cats/istoriya.png)
History, 31.07.2019 22:30
![question](/tpl/images/cats/biologiya.png)
Biology, 31.07.2019 22:30
![question](/tpl/images/cats/fizika.png)
![question](/tpl/images/cats/fizika.png)
![question](/tpl/images/cats/ekonomika.png)
![question](/tpl/images/cats/biologiya.png)
Biology, 31.07.2019 22:30
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/himiya.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/fizika.png)
![question](/tpl/images/cats/ekonomika.png)
Business, 31.07.2019 22:30
![question](/tpl/images/cats/fizika.png)
Physics, 31.07.2019 22:30
![question](/tpl/images/cats/obshestvoznanie.png)
Social Studies, 31.07.2019 22:30
![question](/tpl/images/cats/fizika.png)
Physics, 31.07.2019 22:30