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Mathematics
Mathematics
Problem
Consider the function
h
(
x
)
=
15
cos
(
π
x
50
)
+
15
h(x) = 15 \cos\left(\frac{\pi x}{50}\right) + 15
h
(
x
)
=
15
cos
(
50
π
x
)
+
15
, where
0
≤
x
≤
50
0 \leq x \leq 50
0
≤
x
≤
50
. The tangent,
T
k
T_k
T
k
, to the curve
y
=
h
(
x
)
y = h(x)
y
=
h
(
x
)
at the point
(
k
,
h
(
k
)
)
(k, h(k))
(
k
,
h
(
k
))
is shown on the following diagram.
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