A group of hikers uses a GPS while doing a 40 mile trek in Colorado A curve fit to the data shows that their altitude can be approximated by the function, y(t) 0 12t 5 6 75t 4 135t 3 1120t 2 3200t 9070 where y and t are expressed in feet and hours, respectively During the 18 hour hike, determine (a...

A B AND C You can graph the function to get the elevation profile Diff ...

A group of hikers uses a GPS while doing a 40 mile trek in Colorado. A curve

Question:

A group of hikers uses a GPS while doing a 40 mile trek in Colorado. A curve fit to the data shows that their altitude can be approximated by the function, y(t) = 0.12t⁵ - 6.75t⁴ + 135t³ - 1120t² + 3200t + 9070 where y and t are expressed in feet and hours, respectively. During the 18 hour hike, determine

(a) The maximum altitude that the hikers reach,

(b) The total feet they ascend,

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