jafyahjames
jafyahjames jafyahjames
  • 22-05-2020
  • Mathematics
contestada

The average rate of change of the function: f(x)=4x^3-3x^2+2x-1 in the interval [0,3] will be

Respuesta :

jimrgrant1 jimrgrant1
  • 22-05-2020

Answer:

29

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 0, 3 ], thus

f(b) = f(3) = 4(3)³ - 3(3)² + 2(3) - 1 = 108 - 27 + 6 - 1 = 86

f(a) = f(0) = - 1, thus

average rate of change = [tex]\frac{86-(-1)}{3-0}[/tex] = [tex]\frac{87}{3}[/tex] = 29

Answer Link

Otras preguntas

What is y=-1/3x-2 in graph form?
Using Pythagorean inequalities, determine which set of the given three sides produces an obtuse triangle. A. 4, 5, 6 B. 5, 13, 19 C. 12, 14, 25 D. 21, 72, 75
Thought police is a term borrowed from orwell's _______ to describe any violation of the right to free expression of opinion.
A writer should use a reciprocal pronoun when
Paco ( querer ) ir al Club de Jóvenes
Select all that apply. Which of the following are caused when plaque is not adequately removed from the surface of the tooth? halitosis periodontal disease toot
what body part breaks down lipids
solve the inequality.show work. (r+3)>7
Which of the following is a polynomial with roots negative square root of 5, square root of 5, and −3? x^3 − 2x^2 − 3x + 6 x^3 + 2x^2 − 3x − 6 x^3 − 3x^2
The majority of federal civil servants are hired by