The number of mosquitoes in Anchorage, Alaska (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by: m(x)=-x^2+14xm(x)=−x 2 +14xm, left parenthesis, x, right parenthesis, equals, minus, x, squared, plus, 14, x What is the maximum possible number of mosquitoes?

The maximum number of mosquitoes is 7

Step-by-step explanation:

Given

Required

Determine the maximum number of the function

First, we differentiate the given function w.r.t x

Then, we equate m'(x) to 0

Lastly, we solve for x

Make 2x the subject

Make x the subject

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

good luck on ur quiz test or homework. have a good day : )