Amodel for the population p(t) in a suburb of a large city is given by the initial-value problem dp dt p(101 2 107p), p(0) 5000, where t is measured in months. what is the limiting value of the population? at what time will the population be equal to one-half of this limiting value?

He trapezoid is composed of a rectangle and two triangles. what is the area of the rectangle? what is the total area of the triangles? what is the area of the trapezoid? ? a) 42 cm2; 27 cm2; 69 cm 2 b) 54 cm2; 27 cm2; 81 cm 2 c) 108 cm2; 27 cm2; 135 cm 2 d) 108 cm2; 13.5 cm2; 121.5 cm 2