Edexcel GCE Core Maths C3 Advanced June 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 June 2013. (Part 2)
Related Pages
Edexcel GCE Core Mathematics C3 Advanced June 2012
More Lessons for A Level Maths
Questions 6 - 8 Previous Questions 1-5
C3 Edexcel Core Mathematics June 2013 Question 6
Solving a natural log equation
- Find algebraically the exact solutions to the equations
(a) ln(4 – 2x) + ln(9 – 3x) = 2ln(x + 1), –1 < x < 2
(b) 2x e3x+1 = 10
Give your answer to (b) in the form (a + ln b)/(c + ln d) where a, b, c and d are integers.
Solving an Exponential equation
6. (b)
C3 Edexcel Core Mathematics June 2013 Question 7
- The function f has domain –2 ≤ x ≤ 6 and is linear from (–2, 10) to (2, 0) and from (2, 0) to (6, 4). A sketch of the graph of y = f(x) is shown in Figure 1.
(a) Write down the range of f.
(b) Find ff(0).
The function g is defined
(c) Find g–1(x)
(d) Solve the equation gf(x) = 16
Range and Composite Functions.
Inverse of a Function
7. (c)
Unusual functions equation
7. (d)
C3 Edexcel Core Mathematics June 2013 Question 8
- Kate crosses a road, of constant width 7 m, in order to take a photograph of a marathon runner, John, approaching at 3 m s–1.
Kate is 24 m ahead of John when she starts to cross the road from the fixed point A. John passes her as she reaches the other side of the road at a variable point B, as shown in Figure 2.
Kate’s speed is Vm s–1 and she moves in a straight line, which makes an angle θ, 0 < θ < 150°, with the edge of the road, as shown in Figure 2.
You may assume that V is given by the formula
(a) Express 24sin θ + 7cos θ in the form Rcos(θ – α ), where R and α are constants and where R > 0 and 0 < θ < 90°, giving the value of to 2 decimal places.
Given that θ varies,
(b) find the minimum value of V.
Given that Kate’s speed has the value found in part (b),
(c) find the distance AB.
Given instead that Kate’s speed is 1.68 m s–1,
(d) find the two possible values of the angle θ, given that 0 < θ < 150°.
- (b)
- (c)
- (d)
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.