Write an expression that gives the area of the rectangle as a function of a. B. The area of the rectangle is maximized for some c between 1 and 3. Write the expression you would need to solve in order to find c. You don’t need to find c. C. What is the rate of change of the area when a = 3, if a is decreasing at a rate of da/dt = −0.5 units/sec? You don’t need to simplify, of course. Use appropriate units. D. Again, a is decreasing at the rate of da/dt = −0.5 units/sec. At a = 2.9, is the area of the rectangle increasing or decreasing? How do you know? Use appropriate units in your answer.
Write an expression that gives the area of the rectangle as a function of a. B. The area of the rectangle is maximized for some c between 1 and 3. Write the expression you would need to solve in order to find c. You don’t need to find c. C. What is the rate of change of the area when a = 3, if a is decreasing at a rate of da/dt = −0.5 units/sec? You don’t need to simplify, of course. Use appropriate units. D. Again, a is decreasing at the rate of da/dt = −0.5 units/sec. At a = 2.9, is the area of the rectangle increasing or decreasing? How do you know? Use appropriate units in your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
A. Write an expression that gives the area of the rectangle as a function of a.
B. The area of the rectangle is maximized for some c between 1 and 3. Write the expression you would need to solve in order to find c. You don’t need to find c.
C. What is the rate of change of the area when a = 3, if a is decreasing at a rate of
da/dt = −0.5 units/sec? You don’t need to simplify, of course. Use appropriate units.
D. Again, a is decreasing at the rate of da/dt = −0.5 units/sec. At a = 2.9, is the area of the rectangle increasing or decreasing? How do you know? Use appropriate units in your answer.
Transcribed Image Text:2. The region R is a rectangle with vertices P(a, Ina), Q(a, 0), S(3, 0), and T(3, Ina),
where 1 < a < 3.
2.0 T
1.5+
1.0+
0.5+
-0.5
-0.5+
-1.0+
0.5 10 1.5 2.0
Q
T
+
2.5 3.0
005.
S
3.5
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