# Calc

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?

1. 👍 0
2. 👎 0
3. 👁 367
1. 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.

1. 👍 0
2. 👎 0
posted by Reiny
2. 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"

1. 👍 0
2. 👎 0
posted by Aparna

## Similar Questions

1. ### Calculus

Line l is tangent to the graph of y= x - x²/500 at point Q & it crosses the y-axis at (0, 20) a). Find the x-coordinate of point Q b. Write an equation for line l c) Suppose the graph of y=x-x^2/500, where x and y are measured in

asked by Rachel on February 15, 2014
2. ### Calculus AB

Sorry but I've got a lot of problems that I don't understand. 1) Let f(x)= (3x-1)e^x. For which value of x is the slope of the tangent line to f positive? Negative? Zero? 2) Find an equation of the tangent line to the oven curve

asked by Annie on October 30, 2016
3. ### cal

Equations of the tangent lines to hyperbola xy=1 that pass through point (-1,1) I know the graph of y=1/x but not sure about the tangent lines at given point. Are the lines tangent to (1,1) and (-1,-1)? You're correct, the graph

asked by Melba on September 26, 2006
4. ### Calc

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

asked by Danny on January 25, 2013
5. ### Calculus

Sketch a graph of the parabola y=x^2+3. On the same graph, plot the point (0,−6). Note there are two tangent lines of y=x2+3 that pass through the point (0,−6). The tangent line of the parabola y=x^2+3 at the point (a,a^2+3)

asked by Robin on June 17, 2013
6. ### Calculus AB

Could someone please help me with these tangent line problems? 1) Find the equation of the line tangent to the given curve at the indicated point: 3y^3 + 2x^2 = 5 at a point in the first quadrant where y=1. 2) Show that there is

asked by Annie on November 25, 2016
7. ### Math- calculus

Given f(x) = x ^ 3 - x ^ 2 -4x +4 Find the zeros of f. Write an equation of the line tangent to the graph of f at x = -1 The point (a,b) is on the graph of f and the line tangent to the graph at (a,b) passes through the point

asked by Erin on September 25, 2009
8. ### Calculus

1. Given the function f defined by f(x) = x^3-x^2-4X+4 a. Find the zeros of f b. Write an equation of the line tangent to the graph of f at x = -1 c. The point (a, b) is on the graph of f and the line tangent to the graph at (a,

asked by Anonymous on January 16, 2012
9. ### College Math

2008 (2nd)Course2-4.1 We are to find a function f(x) such that its derivative is x^2+x-1 and the graph of y=f(x) is tangent to the straight line y=x+1. First we find the coordinates of the point at which y=f(x) and y=x+1 are

asked by Bayarbold on June 10, 2011
10. ### Calculus

The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), and g"(x)=(1-1/x^2)cos(x+1/x). A. Find all values of x in the interval 0.12

asked by Sarah on May 7, 2015

More Similar Questions