Let a and b denote two sides of a triangle and let θ denote the included angle. Suppose that a , b , and θ vary with time in such a way that the area of the triangle remains constant. At a certain instant a = 5 cm , b = 4 cm , and θ = π / 6 radians, and at that instant both a and b are increasing at a rate of 3 cm/s. Estimate the rate at which θ is changing at that instant.
Let a and b denote two sides of a triangle and let θ denote the included angle. Suppose that a , b , and θ vary with time in such a way that the area of the triangle remains constant. At a certain instant a = 5 cm , b = 4 cm , and θ = π / 6 radians, and at that instant both a and b are increasing at a rate of 3 cm/s. Estimate the rate at which θ is changing at that instant.
Let a and b denote two sides of a triangle and let
θ
denote the included angle. Suppose that
a
,
b
,
and
θ
vary with time in such a way that the area of the triangle remains constant. At a certain instant
a
=
5
cm
,
b
=
4
cm
,
and
θ
=
π
/
6
radians, and at that instant both a and b are increasing at a rate of 3 cm/s. Estimate the rate at which
θ
is changing at that instant.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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