emilymuench83 emilymuench83
  • 21-03-2021
  • Mathematics
contestada

Find the average value of the function y = 2x4 over the interval [- 2,2].

Respuesta :

altavistard
altavistard altavistard
  • 22-03-2021

Answer:

ave. val. = -------------- = 0

Step-by-step explanation:

That's y = 2x^4 (the ^ symbol indicates exponentiation).

The average value of a function f(x) over the interval [a, b] is

                    f(b) - f(a)  

ave. val. = ----------------

                       b - a

Here a = -2, b = 2 and f(x) = 2x^4.  Thus, f(a) = 2(-2)^4 = f(b) = 2(2)^4 = 32, and

the average value is:

                  32 - 32

ave. val. = -------------- = 0

                     2 - (-2)

Answer Link

Otras preguntas

what is 612.39 rounded to the nearest whole number?
What is 35 round to the nearest 100
round to the place of the underlined digit624,531463,356
the name value of the given digits in the numbers below the 4s in 440
what is the greatest possible product of a 2 digit number and a 1 digit number?? explain how u know
What is the absolute location of Europe?
HENRY COUNTED 350 LOCKERS IN HIS SCHOOL.HAYLEY COUNTED 403 LOCKER IN HER SCHOOL. WHICH STATEMENT IS TRUE? a:THE 3 IN 350 IS 10 TIMES THE VALUE OF THE 3 IN 403b:
The coastline of US id 12,383 miles kong. Canada's coastline is 113211 miles longer than the US.How long is the coastline of Canada?
Using the method of mathematical induction to prove that equalities are true for values ​​of n indicated:2²+4²+6²+...+(2n)²=[tex] \frac{2n(n+1)(2n+1)}{3} ,n \ge
24 tens equals what?