cello10
cello10 cello10
  • 13-08-2017
  • Mathematics
contestada

Find the equation of the line tangent to y = –x2 + 3x + 8 at x = 2.

Find the equation of the line tangent to y x2 3x 8 at x 2 class=

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 14-08-2017
take derivitive

y'=-2x+3

at x=2
y'=-2(2)+3
y'=-4+3
y'=-1

slope is -1

find the value of y when x=2

y=-(2)^2+3(2)+8
y=-4+6+8
y=10

(2,10) and slope is -1

use point slope form
y-y1=m(x-x1)
a point is (x1,y1) and the slope is m

so
y-10=-1(x-2)
y-10=-x+2
y=-x+12

2nd option
Answer Link

Otras preguntas

Describe the Human Genome Project (5-10 sentences)
Tom read that on January 1,Earth is slightly closer to the sun than on July 1. Why, then,is it colder in January than in July?
why does a simple oscillating pendullum not produce a vibrating sound
4b - 7 - 15b + 3 Pls give full explanation I don't understand this stuff.
How do u determine which line is faster when comparing two lines on a time vs position graph??
What are the physical features of Africa below the equator?
Most of Africa's economies are best described as primary, secondary, tertiary or quaternary?
why does a simple oscillating pendullum not produce a vibrating sound
what are the different ways in which power sharing among different communities is organised today
A car moving at 4.5 m/s accelerates at 2.5 m/s2 (The two is squared) After 7s, it will be moving how fast?