Farmer is fed up with aphids and decides to use a pesticide to kill them. unfortunately the
pesticidekills ladybugs at the same rate as aphids. with the pesticide application lotka-volterra
equations are altered to:
dx/dt= 2x−.01xy−.3x
dy/dt=−.5y+.0001xy−.3y
find new equilibrium solutions and advise the farmer if he should go ahead with the pesticide
spraying. explain in a language that a layperson could understand.

If a || b and b | y, then ? a) x || y. b) x | a. c) a | y. d) a || y.

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?

Consider the polynomials given below. p(x) = x4 + 3x3 + 2x2 – x + 2 q(x) = (x3 + 2x2 + 3)(x2 – 2) determine the operation that results in the simplified expression below. 35 + x4 – 573 - 3x2 + x - 8 a. p+q b. pq c.q-p d. p-q