For certain species of organisms, the effective growth rate is highest at an intermediate population size. this is the called the allee effect. for example, imagine that it is too hard to find mates when the population is very small, and there is too much competition for food and other resources when it is is large. one model that captures this effect is dn t = n [r − a(n − b)2], where t denotes time, n corresponds to the population size at time t, and a, b, and r are biological constants. suppose n(0) = 1, find the solution of the above integral for r = 1, a = 1, b = 1.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

step-by-step explanation:

the answer is 128