OML Search

Edexcel GCE Core Mathematics C3 Advanced January 2013




 

Are you looking for A-level Maths help?

The following videos will give you the worked solutions and answers for the Edexcel GCE Core Mathematics C3 Advanced January 2013. The questions are given here.

Related Topics
More Worked Solutions and A-level Maths help

Free Math Worksheets

C3 Edexcel Core Mathematics January 2013 Question 1

Chain Rule Application

1. The curve C has equation y = (2x -3)5

The point P lies on C and has coordinates (w, – 32).

Find

(a) the value of w,

(b) the equation of the tangent to C at the point P in the form y mx c = + , where m and c are constants.

C3 Edexcel Core Mathematics January 2013 Question 2

Iteration

2. g(x) = ex-1 + x - 6

(a) Show that the equation g(x) = 0 can be written as

x = ln(6 -x) + 1, x < 6

The root of g(x) = 0 is α.

The iterative formula
xn + 1 = ln(6 -xn) + 1, x0 = 2

is used to find an approximate value for α.

(b) Calculate the values of x1 , x2 and x3 to 4 decimal places.

(c) By choosing a suitable interval, show that α = 2.307 correct to 3 decimal places.




C3 Edexcel Core Mathematics January 2013 Question 3

Functions - Transformation of Graphs

Figure 1 shows part of the curve with equation y = f(x), x ∈ ℜ.

The curve passes through the points Q(0, 2) and P(−3, 0) as shown.

(a) Find the value of ff(−3) .

On separate diagrams, sketch the curve with equation

(b) y = f-1(x)

(c) y = f(|x|) - 2

(d) y = 2 f(½ x)

Indicate clearly on each sketch the coordinates of the points at which the curve crosses or meets the axes.

C3 Edexcel Core Mathematics January 2013 Question 4

Rcos(x-alpha) method

4. (a) Express 6 cos θ +8 sin θ in the form Rcos(θ - α), where R > 0 and 0 < α < π/2

Give the value of α to 3 decimal places.

(b) p(θ) = 4/(12 + 6cosθ + 8 sinθ, 0 ≤ θ ≤ 2π

Calculate

(i) the maximum value of p(θ),

(ii) the value of θ at which the maximum occurs.



 
C3 Edexcel Core Mathematics January 2013 Question 5

Differentiation - Product and Chain Rule

5. (i) Differentiate with respect to x

(a) y = x3ln2x

(b) y = (x + sin2x)3

Given that x = cot y ,

(ii) show that dy/dx = -1/(1 + x2)

5(i)(b) Differentiation - Chain Rule


5(ii) Differentiation
More Questions


 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


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


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.


[?] Subscribe To This Site

XML RSS
follow us in feedly
Add to My Yahoo!
Add to My MSN
Subscribe with Bloglines