18. A rectangle with length l cm, and height h cm, is inscribed in a circle of radius 10 cm, as shown in the adjacent diagram. The radius of the circle does not change, but the length the rectangle is decreasing at the 10 h constant rate of 8 cm·s-1. Let A be the area of the rectangle (measured in cm?). (a) Show that A = lV400 – (2.

Trigonometry (MindTap Course List)
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Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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18. A rectangle with length l cm, and height h
cm, is inscribed in a circle of radius 10 cm, as
shown in the adjacent diagram.
The radius of the circle does not change, but
the length the rectangle is decreasing at the
10
constant rate of 8 cm·s-1.
Let A be the area of the rectangle (measured
in cm2).
(a) Show that
A = lV400 – l².
Transcribed Image Text:18. A rectangle with length l cm, and height h cm, is inscribed in a circle of radius 10 cm, as shown in the adjacent diagram. The radius of the circle does not change, but the length the rectangle is decreasing at the 10 constant rate of 8 cm·s-1. Let A be the area of the rectangle (measured in cm2). (a) Show that A = lV400 – l².
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