bewellplus.gsu.edu
ch8ellmyTee
ch8ellmyTee ch8ellmyTee
  • 14-10-2016
  • Mathematics
Answered

Find the point P on the parabola y=x^2 closest to the point (3,0).

Verified Answer :

Hussain514 Hussain514
  • 23-10-2016

if we take square root (x - 3)^2 + y^2
y = x^2
(x - 3)^2 + x^4

f(x) = x^4 + x^2 - 6x + 9.

first derivation:
f'(x) = 4x^3 + 2x - 6.

4x^3 + 2x - 6 = 0.

one solution is x = 1

second derivation

f"(x) = 12x^2 + 2
it is positive for x = 1
hope it helps

Answer Link

Related Questions

Buddhism spread only by means of overland routes A True B False
Round off 355 to one significant figure
Ronny Celina Jack and Michelle together placed a total of 20 brownies on a tray Ronny placed 015 of the brownies Celina placed 3 of the 20 brownies Jack placed
Which of the following statements is not true about the painting above a The image is a selfportrait of the artist beside his wife b The title of this artwork i
a spool holds 675 meters and a craft club buys 21 spools what is the total cost if the ribbons costs 2 dollars per meter
5x 3y 6 x y 4 the solution
Given fxx23 and gxx5x Find g o f4
What is the greatest multiple of 9 that is less then 72
when war the battle plassey fought
can someone help me real fast Which association best describes the scatter plot A negative linear association B negative nonlinear association C positive linear