The area A of a triangle with sides of lengths a and b enclosing an angle of measure u is A =  ab sin u/2. a. How is dA/dt related to du/dt if a and b are constant? b. How is dA/dt related to du/dt and da/dt if only b is con-stant? c. How is dA/dt related to du/dt, da/dt, and db/dt if none of a, b, and u are constant ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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The area A of a triangle with sides of lengths a and b enclosing an angle of measure u is A =  ab sin u/2.

a. How is dA/dt related to du/dt if a and b are constant?

b. How is dA/dt related to du/dt and da/dt if only b is con-stant?

c. How is dA/dt related to du/dt, da/dt, and db/dt if none of a, b, and u are constant ?

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