3. The population of field mice in a certain district is at its minimum value of 3000 on March 1. The population rises to its maximum of 7000 on September 1 and then decreases over the
next six months to 3000 again. Find a sinusoidal function that could be a possible formula for
PO), the population of field mice, as a function of t, the time in months since January 1.

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step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

i think the answer would be c