Suppose that you are a member of a start-up business introducing a new social media platform to the market. Unfortunately, your platform is not that popular. After some market research, you determine that the rate of people adopting your platform is best modeled by R(t) = 4,000e^−t/2 where R(t) is in people/day and t is in days. How many people total will adopt your platform? show your work evaluating the integral/derivative

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Q: Find the derivative of f(x) = e-2 / x^2

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.