laylaypinksugar7332 laylaypinksugar7332
  • 02-08-2022
  • Chemistry
contestada

What is the maximum vertical distance between the line y = x 2 and the parabola y = x2 for −1 ≤ x ≤ 2?

Respuesta :

pranavgera011 pranavgera011
  • 07-08-2022

x2=x+2 at x=−1 and x=2 so we have no need to worry about the end-points

f(x)=x+2−x^2

df/dx=1–2x

and that is zero (indicating a maximum) at x=1/2

So the maximum distance is f(1/2)=2.5–0.25=2.25

learn more about maximum distance between curves here:

https://brainly.com/question/1603866

#SPJ4

Ver imagen pranavgera011
Answer Link

Otras preguntas

The Mothers of the Plaza de Mayo wore white head scarves as
How is the placenta adapted to perform its function/job (Pregnancy) Please answer my question And thanks!
In 1783 Antoine Lavoisier showed that the heat produced by respiration was comparable to the heat produced when charcoal was burned. This experiment shows the s
mary has 50 earring boxes. the boxes measure 1 inch on each side. how many rectangular prisms, each with a different sized base, could mary make by stacking all
"Coyote v. Acme" is a satirical essay because it A. uses irony and humor to criticize a topic. B. paints an amusing picture of its topic. C. imitates legal lang
Immigrant families can often embrace new cultural traditions and practices while keeping some of the traditions and practices from their original cultureA.TrueB
Which is an example of a socialist principle?
Match each element with the number of atoms found in one molecule of this compound: C5H7N (nicotine)
What is transporter of the cell?
-6x^3y+2xy^2-3xy, para x = 1/6 e y = 1