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

Enlist the significance of reproduction
Where does sexual reproduction happen in a plant? The stem, the roots, the flowers, OR the capillaries?
I am one of the most dynamic processes of Earth. I help recycle Earth's materials. I move Earth's crustal plates, creating many different geological surface fea
Imagine you are at home watching television. You are sitting 6 feet away from your TV which is hung on the wall and the top of it is 8 feet off the ground. Whic
What is the slope of the line defined by the equation 2x + 3y = 18?
What does Caesar mean when he says, "Et tu, Brute?" A.) He is surprised by his friend's betrayal. B.) He wants Brutus to kneel before him. C.) he is trying to s
Solve the system of equations. 10x+y=−20 y=2x2−4x−16 help?
phillip bought 12 used cds and dvds.cds cost $2 each,and dvds cost $3 each.he spent $31,not including tax.how many dvds did phillip buy?
you read 8 pages in 4 minutes how many pages can you read in 4 hours
How did “The Fallacy of Success” fit into a broader trend in European thought?