b The area of a triangle with sides of lengths a and and contained angle is A = a b sin 0. 1 2 If a=2cm, b increases at a rate of 1.5 cm/min and increases at a rate of 0.2 rad/min, how fast π is the area increasing when b=3 cm and .? 3 A. (1.5+0.75 √√3) cm²/min OB. (1.5√3+0.75) cm²/min OC. (0.3√3+0.75) cm²/min OD. (0.3+0.75√3) cm²/min OE. None of these

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 90E
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The area of a triangle with sides of lengths a and b
and contained angle is A = a b sin 0.
1
2
If a=2 cm, b increases at a rate of 1.5 cm/min
and increases at a rate of 0.2 rad/min, how fast
is the area increasing when b = 3 cm and
?
3
A. (1.5 +0.75 √3) cm²/min
OB. (1.5√3+0.75) cm²/min
OC. (0.3√3+0.75) cm²/min
D. (0.3+0.75√3) cm²/min
O E. None of these
Transcribed Image Text:The area of a triangle with sides of lengths a and b and contained angle is A = a b sin 0. 1 2 If a=2 cm, b increases at a rate of 1.5 cm/min and increases at a rate of 0.2 rad/min, how fast is the area increasing when b = 3 cm and ? 3 A. (1.5 +0.75 √3) cm²/min OB. (1.5√3+0.75) cm²/min OC. (0.3√3+0.75) cm²/min D. (0.3+0.75√3) cm²/min O E. None of these
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