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Mathematics
Mathematics
Problem
Consider the curve with equation
f
(
x
)
=
p
x
2
+
q
x
f(x) = px^2 + qx
f
(
x
)
=
p
x
2
+
q
x
, where
p
p
p
and
q
q
q
are constants. The point
A
(
1
,
3
)
A(1, 3)
A
(
1
,
3
)
lies on the curve. The tangent to the curve at
A
A
A
has gradient 8. Find the value of
p
p
p
and of
q
q
q
.
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