A Level Mathematics
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Latest notes & summaries A Level Mathematics
Answer ALL the questions. 
Write your answers in the spaces provided. 
 
Leave blank 
 
 
 
 
1	a)	Given that f(x) = x3 – 4x2 – 3x + 7, find f '(x).	(2) 
 
 
 
 
 
b)	Hence find the values of x for which f(x) is a decreasing function, giving your answer 
in the form {x : x > a} {x : x < b} where a and b are real numbers to be found.	(3) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
2	A helicopter flies between 3 locations, A, B and C, which are positioned such that AB = 9 km, AC = 5 km...
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A-Level Mathematics•A-Level Mathematics
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Answer ALL the questions. 
Write your answers in the spaces provided. 
 
Leave blank 
 
 
 
 
1	a)	Given that f(x) = x3 – 4x2 – 3x + 7, find f '(x).	(2) 
 
 
 
 
 
b)	Hence find the values of x for which f(x) is a decreasing function, giving your answer 
in the form {x : x > a} {x : x < b} where a and b are real numbers to be found.	(3) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
2	A helicopter flies between 3 locations, A, B and C, which are positioned such that AB = 9 km, AC = 5 km...