Makoshark9758 Makoshark9758
  • 10-09-2017
  • Mathematics
contestada

Find the acute angle between the curves at their points of intersection y=x^2 and y=x^3

Respuesta :

caylus
caylus caylus
  • 10-09-2017
Hello,

First let's find the points of intersection:

x^3=x^2==>x^3-x²=x²(x-1)==>x=0 or x=1
(x²)'=2x
(x^3)'=3x²

If x=0 then y=0*x+0 is a commun tangent  of the 2 curves.
==> angle=0°

if x=1 then
tan a=2 and tan b=3
angle=arctan 3-arctan 2=8.130120....°


Answer Link

Otras preguntas

Which of the following roles does the government play in a free enterprise system?
PT 1. I WILL MARK YOU THE Brainest !!!! Need help
The average american typically gets _____ of their calories from sofas (solid fats and added sugars) each day. one-third 75% 25% all 50%
Will give Brainliest if correct!!!!!!!!! What were the Crusades? A. battles at sea involving a special type of ship sailing from Constantinople B. wars bet
TIMED, does anyone know the answer?
It is only necessary to cite sources when you quote them word for word.? true or false
What is 1.7million add 345000
Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical. a. (2 , 1) , (4 , 5) b. (-1 ,
Geometry help??? 15 POINTS ΔEFG ~ ΔLMN. Find LN. A) 2.5 B) 3 C) 3.5 D) 5
Name three important agile techniques that were introduced in extreme programming?