nyansema nyansema
  • 23-08-2017
  • Mathematics
contestada

the equation of the tangent to the curve x^2 = 4y at the point on the curve where x=-2 is?

Respuesta :

kettboy kettboy
  • 23-08-2017
[tex]x^2 = 4y \Rightarrow y= \frac{x^2}{4} [/tex]
[tex] \frac{dy}{dx} = \frac{2x}{4} = \frac{x}{2} [/tex]

(x = -2) [tex] \frac{dy}{dx} = \frac{x}{2} = \frac{-2}{2} = -1[/tex]
(x = -2) [tex]y= \frac{x^2}{4}= \frac{(-2)^2}{4} = 1[/tex]

[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-1 = -1(x--2) [/tex]
[tex]y-1 = -1(x+2)[/tex]
[tex]y-1 = -x-2[/tex]
[tex]y=-x-1 = -(x+1)[/tex]

Answer Link
Аноним Аноним
  • 23-08-2017
 i think the answer is y=-x-1=-(x+1)
Answer Link

Otras preguntas

waht is 1+1and 2+2 also how to write in on paper
Pls help me answer this Mice and men book How does Steinbeck make his characters seem real? (What word choice does he use ?)
help me pls !!!!!!!!!^^
Look! the bird..... (fly)Look! the bird fliesLook! the bird is flyingwhich of them is correct​
Is it okay to let people off the hook for their actions because they are too young? At what age should people be held responsible for their actions? Explain yo
what are the steps to this math problem 3+6(5+4)=
How are laws 202 ,203 ,204,and 205 similar
what is the asymptote of y=tan(2x+3)?​
Ang kasintahan ng dalaga sa alamat ng Palendag ay isang
To increase muscle strength a person should lift _______% of their maximum for that lift.