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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.

C3 Edexcel Core Mathematics January 2013 Question 6

Working with Trig Identities

6. (i) Without using a calculator, find the exact value of

C3 Edexcel Core Mathematics January 2013 Question 7

Simplifying Algebraic Fractions

7 (a) Show that h(x) = 2x/(x^{2} + 5)

Exponential Equation

8. The value of Bob’s car can be calculated from the formula

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.

More Worked Solutions and A-level Maths help

Free Math Worksheets

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.

C3 Edexcel Core Mathematics January 2013 Question 6

Working with Trig Identities

6. (i) Without using a calculator, find the exact value of

(sin 22.5° + cos 22.5°)^{2}

You must show each stage of your working.

(ii) (a) Show that cos 2θ + sinθ = 1 may be written in the form

k sin^{2}θ – sinθ = 0, stating the value of k.

(b) Hence solve, for 0° ≤ θ < 360°, the equation

cos 2θ + sinθ = 1 6 (b) Solving Trig. EquationsSimplifying Algebraic Fractions

7 (a) Show that h(x) = 2x/(x

(b) Hence, or otherwise, find h ′(x) in its simplest form.

Figure 2 shows a graph of the curve with equation y x = h( ) .

(c) Calculate the range of h( ) x 7 (b) 7 (c) C3 Edexcel Core Mathematics January 2013 Question 8Exponential Equation

8. The value of Bob’s car can be calculated from the formula

V = 17000e^{-0.25t} + 2000e^{-0.5t} + 500

where V is the value of the car in pounds (£) and t is the age in years.

(a) Find the value of the car when t = 0

(b) Calculate the exact value of t when V = 9500

(c) Find the rate at which the value of the car is decreasing at the instant when t = 8.

Give your answer in pounds per year to the nearest pound.
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