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

State the number of possible negative and positive real zeros of the function f(x)=6x^5-4x^4-63x^3+42x^2+147x-98
Lisa is a pet cat called Taddy. Is pet adjective or noun
Calculate the decay constant, in s ^ - 1 of sodium-24, which has a half-life of 15 h.
the 4. Write short notes on: a) Vedic Age b) Chalcolithic Culture c) Inamgaon (d)) Rigveda​
Can I have sex?????????????????????
The root operation for the adjustment of position of pacemaker. A) Reposition B) Revision C) Removal D) Repair
Can 3×m×n be written as 3mn
Media Literacy teaches... a) People to use various forms of media. b) People to believe what they read more than what they see or hear. c) People to view media
Freezing products kills bacteria, A. True B. False
How do you determine the y intercept of an exponential function f(x)=ab^x+k that has been both stretched and translated