Solution of Cambridge International AS and A Level Mathematics 9709-01. Paper 1 Pure Mathematics 1
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Course
Mathematics
Institution
Solution of Cambridge International AS and A Level Mathematics 9709-01
For examination from 2020.
Paper 1 Pure Mathematics 1
SPECIMEN PAPER
Introduction
It is not merely solutions of problems but verification along
with graph to create comprehensive learning and problem
solving strategy.
(b) State what the values in the table indicate about the value of
f ′ (2).
Since
Gradient of DE=2.1
f ′ (x) ≈ 2.1
=⇒ x = 2
Verification
3
, Let
f (x) = ax2 + bx + c
Putting A(0,1)=A(x,f(x))
1=c
Or
c=1
Hence equation becomes
f (x) = ax2 + bx + 1
Putting B(1,6)=B(x,f(x))
6=a+b+1
a+b=5
b=5−a
Again putting E(2,9)=E(x,f(x)) in the equation
f (x) = ax2 + bx + 1
=⇒
9 = 4a + 2b + 1
4a + 2b = 8
Putting b=5-a
4a + 2(5 − a) = 8
4
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