16) A restaurant supplier services the restaurants in a circular area in such a way that the area of the circle isincreasing at the rate of 20 km² per year. How quickly is the radius r is increasing when the area is 36 km²?

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Answered: 16) A restaurant supplier services the…

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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м 10. Segment MN passes through the centers of each tangent circle in the figure above. The radius of each circle is twice the radius of the circle to its ON left. What is MN (A) 10 (B) 8. (C) 4 (D) 15 (E)
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b) Figure 3 shows a graph of line y = -1+ 2x-2. Find the area of the region bounded the curve line, x-axis with lines x = 1 and x = -2. y = -1+2x-2 Figure 3
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5. Label the curve to the right to describe the area of the curve contained in each section.
Sand is being dumped on a pile in such a way that it always forms a cone whose height Two sides of a triangle are 10 m and 12 m long. The angle between them is increasing at a rate of 0.2 radians/second. How fast is the length of the third side changing when the angle between the sides is 1 radian
A red and a blue car leave Bellevue at the same time. The red car drives south and the blue car drives west. The red car is going 65 kilometers per hour and the blue car is going 75 kilometers per hour. The day is sunny. After 4 hours, a) how far apart are the cars? kilometers b) how fast is the distance between the cars changing? km/hr (Enter each answer as decimal rounded to 2 places.) Show all work, including a drawing labeled with the variables you are using.

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16) A restaurant supplier services the restaurants in a circular area in such a way that the area of the circle is increasing at the rate of 20 km² per year. How quickly is the radius r is increasing when the area is 36 km²?