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

If the sum of the legs of a right triangle is 49 inches and the hypotenuse is 41 inches, find the length of the other two sides
choose the correct standard form of the number. forty and nine thousandths. what is the correct answer? A.49,000 B.40.9 C.40.009 D.40.09
what is 2 and 3/5 plus 5 and 3/5?
which quantity is directly related to the temperature of a substance?
What was the outcome of most European revolts of the 1830s?
Which of the following is an example of mechanical weathering? A.gravity B. oxidation C. acid formation D. lava intrusion
what function do mosques serve
What do the cowboys want Pa to do for them?Little house on the prarie A. keep the cattle from wandering away B. keep the cattle from getting attacked by wolv
a loan of 900 will be repaid in 36 installment payments of 30.22 each .what is the finance charge for the loan
why did some African Americans decide to fight in the Revolutionary war