Posted by **Aparna** on Sunday, January 27, 2013 at 9:40am.

Line L is tangent to the graph of y= x- (x^2/500) at the point Q

a) find the x coordinate of point Q

B) right an equation for line L

C) suppose the graph above were a hill (measured in feet). There is a 50 foot tree growing vertically at the top of the hill. Does a spot light (a point P, on the x axis along the line L) shine on any part of the tree?

- Calc -
**Reiny**, Sunday, January 27, 2013 at 10:08am
Did you want that tangent to be horizontal ?

if so, then

dy/dx = 1 - x/250

to be horizontal tangent, dy/dx = 0

x/250 = 1

x = 250

then y = 250 - (250^2)/500 = 125

Q is (250,125)

b) Did you mean" write" an equation for line L ?

Until you clarify your question, I will stop here.

- Calc -
**Aparna**, Sunday, January 27, 2013 at 11:22am
they drew a diagram for it and Q is actually on the left side of the graph making the line L an upward slant, and yes i meant "write"

## Answer this Question

## Related Questions

- Calc - Line L is tangent to the graph of y= x- (x^2/500) at the point Q a) find ...
- Calculus - Line l is tangent to the graph of y= x - x²/500 at point Q & it ...
- calculus - 1. Which of the following expressions is the definition of the ...
- Math- calculus - Given f(x) = x ^ 3 - x ^ 2 -4x +4 Find the zeros of f. Write an...
- Calculus - 1. Given the function f defined by f(x) = x^3-x^2-4X+4 a. Find the ...
- College Math - 2008 (2nd)Course2-4.1 We are to find a function f(x) such that ...
- Math--Calculus - Let y = f(x) be the continuous function that satisfies the ...
- calculus - 5. Let f be the function given by f(x) = x3- 7x + 6. a. Find the ...
- Calc. - Find the area of the region bounded by the parabola y=x^2, the tangent ...
- calc - let f be function given by f(x)= Ln(x)/x for all x> 0. the dervative ...

More Related Questions