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Answer 1

By applying definite integrals on the function rate of change, the net change in the deer population between t = 0 and t = 3 is equal to  R = - 2,000π.

How to find the net change of a trigonometric function

The net change of a differentiable function in a given interval is equal to the definite integral of the rate of change:

$R(t) = \int\limits^3_0 {r(t)} \, dt$     (1)

If we know that r(t) = 1,000π · cos (0.5π · t), the net change of the function is:

$R(t) = 1,000\pi \int\limits^3_0 {\cos (0.5\pi\cdot t)} \, dx$

R = 2,000π · (sin 1.5π - sin 0)

R = - 2,000π

By applying definite integrals on the function rate of change, the net change in the deer population between t = 0 and t = 3 is equal to  R = - 2,000π.

To learn more on definite integrals: https://brainly.com/question/22655212

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