# Calculus

There are two neighboring points P and Q on the curve f(x)=x^2
(a) Determine m(h), the slope of the straight line PQ
(b) The slope, S, of the tangent at P is defined as S=lim h->0 m(h). Find the value of S.
(c) Use this value of S to show that the equation of the tangent at P is y=4x-4.

1. 0
2. 0
3. 4

## Similar Questions

1. ### maths

In a reference (O, i, j), the points A (-12, 1150) and B (10, -500). The function f is defined on (-20, 10) by: f(x) = x^ 4 +2.25 x^3-44.5x^2-260x+100 We note Cf his(her,its) representative curve. We try to determine all the

asked by thariq on September 25, 2011
2. ### math

In a reference (O, i, j), the points A (-12, 1150) and B (10, -500). The function f is defined on (-20, 10) by: f(x) = x^ 4 +2.25 x^3-44.5x^2-260x+100 We note Cf his(her,its) representative curve. We try to determine all the

asked by thariq on September 25, 2011
3. ### trig

The parametric equations for a curve in the x-y plane are x=2+t^2 and y=4-3t. Determine the points where the curve intersects the x-axis.

asked by casey on April 20, 2011
4. ### Math

How can I determine a value of gradient from a graph if the line is curved. (not a straight line) This is where Calculus comes in If a graph is a curve, then the gradient (slope) of the curve is the slope of the tangent that you

asked by Paul on May 23, 2007
5. ### math

L is a straight line in x-y plane. its equation is in the form y-8=m(x-1) determine all points in x-y plane where line L intersects curve y=2x^2 i know that 1,8 is a point on the line. I'm not sure what points the question is

asked by hawkstar on September 28, 2006
6. ### Calculus

a)The curve with equation: 2y^3 + y^2 - y^5 = x^4 - 2x^3 + x^2 has been linked to a bouncing wagon. Use a computer algebra system to graph this curve and discover why. b)At how many points does this curve have horizontal tangent

asked by Chelsea on November 1, 2010
7. ### Calculus

Consider the curve given by y^2 = 2+xy (a) show that dy/dx= y/(2y-x) (b) Find all points (x,y) on the curve where the line tangent to the curve has slope 1/2. (c) Show that there are now points (x,y) on the curve where the line

asked by Mathew on October 3, 2013
8. ### math

The distance meters from a fixed point O, covered by a particle after t seconds given by the equation; S = t3 – 6t2 + 9t + 5. (a) Calculate the gradient to the curve at t = 0.5 seconds (b) Determine the values of sat the maximum

asked by kudu on February 13, 2015
9. ### Calculus

Consider the curve y^2+xy+x^2=15. What is dy/dx? Find the two points on the curve where y equals 0 and show that the tangent lines there are parallel. Find the coordinates of all points on the curve where there is a horizontal

asked by K.Jeanes on April 19, 2011