Let a and b denote two sides of a triangle and let 0 denote the included angle. Suppose that a, b, and vary with time in such a way that the area of the triangle remains constant. At a certain instant a = 2cm, b = 4cm, and e = radians, and at that instant botha and b 6. are increasing at a rate of 2cm/s. Estimate the rate at which O is changing at that instant.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 42E
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Let a and b denote two sides of a triangle and let 0 denote the included angle. Suppose that a, b, and 0 vary with time in such a way that
the area of the triangle remains constant. At a certain instant a = 2cm, b = 4cm, and e =
radians, and at that instant botha and b
6.
are increasing at a rate of 2cm/s. Estimate the rate at which O is changing at that instant.
Round your answer to three decimal places.
de
i
rad/s
dt
Transcribed Image Text:Let a and b denote two sides of a triangle and let 0 denote the included angle. Suppose that a, b, and 0 vary with time in such a way that the area of the triangle remains constant. At a certain instant a = 2cm, b = 4cm, and e = radians, and at that instant botha and b 6. are increasing at a rate of 2cm/s. Estimate the rate at which O is changing at that instant. Round your answer to three decimal places. de i rad/s dt
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