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

what was the overall impact of eli whitneys introduction of interchangeable parts?
I need help asap! Please.
Match the examples to the correct level of organization. 1. system level roses, snakes, puppies 2. organism level roots, stamens, leaves 3. tissue level bo
Find the slope of the line that passes through the points (0, 0) and (-2, -3). 2/3 3/2 -3/2
what does rereading accomplish?
What 620000 divided by 10 to the third power
Volcanic irruption is most likely to be violent when A) volcanoes near to the sea B) the neck of the volcano is sealed by a plug C) the lava is viscous D) The
consider the title and souce of the following articles. Which one is most likely to exhibit a bias? (A) How to roast beef," by the food editor of a magazine (B)
I need help ASAP please
i need help on this