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 = 8cm, and 8 = radíans, and at that instant both a and b the area of the triangle remains constant. At a certain instant a = 8cm, b are increasing at a rate of 6cm/s. Estimate the rate at which is changing at that instant. Round your answer to three decimal places. 28 dt || pr rad/s 6

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 39E
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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
=
8cm, and 8 =
radíans, and at that instant both a and b
the area of the triangle remains constant. At a certain instant a = 8cm, b
are increasing at a rate of 6cm/s. Estimate the rate at which is changing at that instant.
Round your answer to three decimal places.
28
dt
||
pr
rad/s
6
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 = 8cm, and 8 = radíans, and at that instant both a and b the area of the triangle remains constant. At a certain instant a = 8cm, b are increasing at a rate of 6cm/s. Estimate the rate at which is changing at that instant. Round your answer to three decimal places. 28 dt || pr rad/s 6
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