Leta and b denote two sides of a triangle and let 8 denote the included angle. Suppose that a, b, and vary with time in such a way that रह = radians, and at that instant both a and b the area of the triangle remains constant. At a certain instant a = 8cm, b = 2cm, and 8 are increasing at a rate of 2cm/s. Estimate the rate at which is changing at that instant. Round your answer to three decimal places. 20 || i rad/s

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 41E
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Let a and b denote two sides of a triangle and let 8 denote the included angle. Suppose that a, b, and 8 vary with time in such a way that
=
2cm, and 8 =
the area of the triangle remains constant. At a certain instant a = 8cm, b =
are increasing at a rate of 2cm/s. Estimate the rate at which is changing at that instant.
radíans, and at that instant both a and b
6
Round your answer to three decimal places.
do
dt
||
rad/s
Transcribed Image Text:Let a and b denote two sides of a triangle and let 8 denote the included angle. Suppose that a, b, and 8 vary with time in such a way that = 2cm, and 8 = the area of the triangle remains constant. At a certain instant a = 8cm, b = are increasing at a rate of 2cm/s. Estimate the rate at which is changing at that instant. radíans, and at that instant both a and b 6 Round your answer to three decimal places. do dt || rad/s
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