The area of a triangle with sides of lengths a and b containing angle theta is = 1/2absin(theta). A. if a = 2cm and b = 3cm and theta increases at a rate of .2 rad/min, how fast is the area increasing when theta = pi/3? B. if a = 2cm and b increases at a rate of 1.5 cm/min, and theta increases at a rate of .2 rad/min, how fast is the area increasing when b = 3cm and theta = pi/3? C. if a increases at a rate of 2.5cm/min, b increases at a rate of 1.5cm/min and theta increases at a rate of .2 rad/min, how fast is the area increasing when a = 2cm, b = 3cm, and theta = pi/3?
The area of a triangle with sides of lengths a and b containing angle theta is = 1/2absin(theta). A. if a = 2cm and b = 3cm and theta increases at a rate of .2 rad/min, how fast is the area increasing when theta = pi/3? B. if a = 2cm and b increases at a rate of 1.5 cm/min, and theta increases at a rate of .2 rad/min, how fast is the area increasing when b = 3cm and theta = pi/3? C. if a increases at a rate of 2.5cm/min, b increases at a rate of 1.5cm/min and theta increases at a rate of .2 rad/min, how fast is the area increasing when a = 2cm, b = 3cm, and theta = pi/3?
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter21: Direct And Inverse Proportions
Section: Chapter Questions
Problem 7A: A plug gage tapers 3.10 mm along a 38.00 mm length, as shown in Figure 215. Set up a proportion and...
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The area of a triangle with sides of lengths a and b containing angle theta is = 1/2absin(theta).
A. if a = 2cm and b = 3cm and theta increases at a rate of .2 rad/min, how fast is the area increasing when theta = pi/3?
B. if a = 2cm and b increases at a rate of 1.5 cm/min, and theta increases at a rate of .2 rad/min, how fast is the area increasing when b = 3cm and theta = pi/3?
C. if a increases at a rate of 2.5cm/min, b increases at a rate of 1.5cm/min and theta increases at a rate of .2 rad/min, how fast is the area increasing when a = 2cm, b = 3cm, and theta = pi/3?
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