Worksheet 3.8 Related Rates - Calculus Maximus Page 4
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7Calculus Maximus
WS 3.8: Related Rates
7. (1999 AB6) In the figure at right, line l is
1
tangent to the graph of
at point P, with
y
2
x
1
w . Point Q
coordinates
, w
, where
0
2
w
has coordinates
w
, 0
. Line l crosses the x-
axis at the point R, with coordinates
k
, 0
.
w .
(a) Find the value of k when
3
w , find k in terms of w.
(b) For all
0
w , what is the rate
(c) Suppose that w is increasing at the constant rate of 7 units per second. When
5
of change of k with respect to time?
w , what is the rate
(d) Suppose that w is increasing at the constant rate of 7 units per second. When
5
of change of the area of PQR
with respect to time? Determine whether the area is increasing or
decreasing at this instant.
Page 4 of 7
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