can some plz help me with 1 or both of these problems ASPA

[JustinJS]

I'm having a little trouble with 2 problems because the day that they went over the problems i was out of school and my freakin teachers is never there after school to help me.

1) A particle moves along the parabola y = x^2 from the point (1,1) to the point (x,y) Show that (change in)y/(change in)x = x +1

2) Consider a circle of a radius 5, centered at (1,2). Find an equation of the line tangent to the circle at the point (-2, 6). Describe th procedure that you used to get your answer.

 

[tkhunny]

Re: can some plz help me with 1 or both of these problems AS

1) A particle moves along the parabola y = x^2 from the point (1,1) to the point (x,y) Show that (change in)y/(change in)x = x +1

Starts at (1,1) Stops at (x,y) = (x,x^2)

dy/dx = (x-1)/(x^2-1) You can simplify that.

2) Consider a circle of a radius 5, centered at (1,2). Find an equation of the line tangent to the circle at the point (-2, 6). Describe th procedure that you used to get your answer.

Tangent lines are perpendicular to radii. You have two points to describe a line containing a radius. Do you remember how the slopes of perpendicular lines relate to each other?