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) The maximum altitude that the hikers reach, (b) The total feet they ascend, (c) The total feet they descend

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

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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