Recall the following property of integrals: if f ( t ) ≥ g ( t ) for all t ≥ 0 , then for all x ≥ 0 , ∫ x 0 f ( t ) d t ≥ ∫ x 0 g ( t ) d t 4 the inequality e t ≥ 1 holds for t ≥ 0 because e > 1. use (4) to prove that e x ≥ 1 + x for x ≥ 0 then prove, by successive integration, the following inequalities (for x ≥ 0 ): e x ≥ 1 + x + 1 2 x 2 e x ≥ 1 + x + 1 2 x 2 + 1 6 x 3.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

answer: its the third option.

step-by-step explanation:

i just took the test.