A curve C has equation y = x 3 5x 2 + 5x + 2. a.
Question:
A curve C has equation y = x3 − 5x2 + 5x + 2.
a. Find dy/dx in terms of x.
b. The points P and Q lie on C. The gradient of C at both P and Q is 2. The x-coordinate of P is 3.
i. Find the x-coordinate of Q.
ii. Find an equation for the tangent to C at P, giving your answer in the form y = mx + c, where m and c are constants.
iii. If this tangent intersects the coordinate axes at the points R and S, find the length of RS, giving your answer as a surd.
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Step by Step Answer:
a To find dydx we need to differentiate the equation y x3 5x2 5x 2 with respect to x Taking the derivative term by term we have dydx ddxx3 ddx5x2 ddx5...View the full answer
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Related Book For 
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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