# Edexcel Core Mathematics C4 January 2011

Questions and Worked Video Solutions for C4 Edexcel Core Mathematics January 2011 (Part 2).

Related Pages
A Level Maths - More videos, activities and worksheets for A-Level Maths.

Edexcel Core Mathematics C4 January 2011 Past Paper

C4 Mathematics Edexcel January 2011 Question 6

1. The curve C has parametric equations x = ln t, y = t2 - 2, t > 0

Find

(a) an equation of the normal to C at the point where t = 3 ,

(b) a cartesian equation of C.

The finite area R, shown in Figure 1, is bounded by C, the x-axis, the line x = ln 2 and the

line x = ln 4 . The area R is rotated through 360° about the x-axis.

(c) Use calculus to find the exact volume of the solid generated.

6(a) Parametric Equations

6(b)

6(c)

C4 Mathematics Edexcel January 2011 Question 7

1. (a) Given that y = 1/[4 + √(x - 1)], complete the table below with values of y corresponding to x = 3 and x = 5 . Give your values to 4 decimal places.

(b) Use the trapezium rule, with all of the values of y in the completed table, to obtain an estimate of I, giving your answer to 3 decimal places.

(c) Using the substitution (u - 4)2 + 1, or otherwise, and integrating, find the exact value of I.

7(a),(b) Trapezium Rule

7(c) Integration by Substitution

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.