Question

problem

Answer 1

?

Answer 2

Find the equations of the tangent lines with slope m = -2/9 to the ellipse

4x^2+9y^2 = 40

Answer 3

@marcelie let's work on this one, it's finding the tangent line and implicit differentiation I think

Answer 4

so u really don't need help?

Answer 5

implicit differentiation

Answer 6

dy/dx 4x^2 + 9 y^2 = dy/dx 40
so we take the derivative
8x+18 y dy/dx = 0

18 dy
__ = 0-8x
dx

-8x
______ = dy /dx
18

Answer 7

I'm gonna be back in a few hrs. You can help too if you like Jeremy

Answer 8

oh okay

Answer 9

D/dx 4x^2+9y^2 = d/dx 40

8x+18y~dy/dx = 0

Dy/dx = -8x/18y

Dy/dx = -4x/9y

Answer 10

Hmm so m = 2/9

Answer 11

hmmm so im thinking we might have to use point slope form?

Answer 12

This was my first idea

I'm not sure but I know that the slope has to be equal to -2/9. So the first idea would be to set the slope equal to -2/9

-4x/9y = dy/dx


-4(x-x0)/9(y-y0) = -2/9

Then we take a point x0,y0 that must be on the circle too so it must satisfy

4x^2+9y^2 = 40

Answer 13

@Photon336 hey there buddy :) well i looked up ellipses and how to draw their tangent lines it something like this you can also verify the tangent equation by plotting them on graph check the attachment above :)

Answer 14

there is no need to calculate the implicit differentiate here i thought we would needed to but we dont