Mathematics, 19.11.2019 04:31 Geo777

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.

Answers: 2

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 14:10, bl88676

An energy plant is looking into putting in a system to remove harmful pollutants from its emissions going into earth's atmosphere. the cost of removing the pollutants can be modeled using the function c = 25000p/100 -p what is the vertical asymptote?

Answers: 1

continue

Mathematics, 22.06.2019 01:00, cthompson1107

First work with stencil one. use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. list the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement in

Answers: 3

continue

Mathematics, 22.06.2019 02:30, charleetrill8304

From a group of 10 men and 8 women, 5 people are to be selected for a committee so that at least 4 men are on the committee. howmany ways can it be done?

Answers: 2

continue

Mathematics, 22.06.2019 02:50, villafana36

The graph of f(x) shown below has the same shape as the graph of g(x)=x^3-x^2 but it is shifted to the left 2 units what is its equation

Answers: 2

continue

You know the right answer?

Recall the following property of integrals: if f ( t ) ≥ g ( t ) for all t ≥ 0 , then for all x ≥ 0...