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

PLEASE HELP!! please do all steps! i’ll mark as brainliest!!! Answer the following questions using what you've learned from this unit. Write your responses i
Use synthetic division and the Remainder Theorem to find f(4) if f(x) = – 2x3 + 9x2 2x3 + 9.c- 6x + 7
Please HELP ! :( 3.4.4 Why are cells so small? 1. Write a brief summary of the main steps you took in the procedure. Be sure to describe any adjustments you mad
5. Find x if √x=79. ​
65 POINTS!!! AND BRAINLIEST True or False: When we infer about a character, we draw a conclusion based on his or her actions, feelings, thoughts, speech or wha
Identify the graph of ƒ(x) = x2 + 6x – 7 from the choices below.
Plz help me my maths hw is due in a couple of hrs!!!
why do screw need hardness
A race car was is moving at a constant speed of 35 m/s. A security car was moving at a speed of 5 m/s as the race car passes by it and was accelerating at const
How many degrees are in a 29 sided figure?