The population P of some rare rabbits in a small island is given by: where M is the carrying capacity. M represents the maximum sustainable number of rabbits in the island, and k is a constant which may be positive or negative, based on whether the number of rabbits grows or decays. (a) The island has an initial population of 100 rabbits, and after one year, the population increases to 300 rabbits. Solve this differential equation in the case in which the island has a carrying capacity of 1900. Give the answer in terms of time t only. (b) What is the rabbit population after 5 years

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative

x^3-4x^2+3x-2/x^2+1

step-by-step explanation:

factor the numerator and denominator and cancel the common factors

whats the rest of it?