Ahuge ice glacier in the himalayas initially covered an area of 45 square kilometers. because of changing weather patterns, this glacier begins to melt, and the area it covers begins to decrease exponentially.

the relationship between a, the area of the glacier in square kilometers, and t, the number of years the glacier has been melting, is modeled by the following equation.

a=45e^(-0.05t)

how many years will it take for the area of the glacier to decrease to 15 square kilometers?

answer quickly: worth 35 points

Adriver from the university of florida women’s swimming and diving team is competing in the in ncaa zone b championships

Find the cosine function that is represented in the graph.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)