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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 302
/
2
/
vi
/
Solution
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Past exam of the mathematics course of the University of Cambridge
2021
iii
Paper 302
2
vi
2026-09-28
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The
infinitesimal
change
d
y
can be written
d
y
s
=
μ
d
s
(
y
)
θ
d
,
θ
d
=
λ
s
d
(
y
)
d
y
s
.
(1)
Right
multiplication
of
g
(
y
)
by
g
(
θ
)
is also right
multiplication
of
g
(
z
)
=
g
(
x
)
g
(
y
)
by the same element. Part
v
therefore gives
d
z
r
=
μ
d
r
(
z
)
λ
s
d
(
y
)
d
y
s
,
(2)
so
∂
y
s
∂
z
r
=
μ
d
r
(
z
)
λ
s
d
(
y
)
.
(3)
Ancestors
(11)
vi
2
Paper 302
iii
2021
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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