## (e) The number of bees spotted in Amelie’s garden can also be modeled by the function B(x) = 50√ k + 2x where x is the daily high temperatur

Question

(e) The number of bees spotted in Amelie’s garden can also be modeled by the function B(x) = 50√ k + 2x where x is the daily high temperature, in degrees Fahrenheit, and k is a positive constant. When the number of bees spotted is 100, the daily high temperature is increasing at a rate of 2 ◦F per day. According to this model, how quickly is the number of bees changing with respect to time when 100 bees are spotted?

in progress 0
3 days 2021-10-09T19:58:45+00:00 1 Answer 0 Step-by-step explanation:

Derivative indicates rate of change of dependent variable with respect to independent variables. It indicates the slope of a line that is tangent to the curve at the specific point.

Given:

Number of bees is modeled by the function The daily high temperature is increasing at a rate of 2 °F per day when  the number of bees spotted is 100.

To find:

rate of change of number of bees when 100 bees are spotted

Solution: Differentiate with respect to t, Put  At x = 100, 