Refer to Problem 11. How fast is the circumference of a circular ripple changing when the radius
Question:
Problem 11
A rock thrown into a still pond causes a circular ripple. If the radius of the ripple is increasing by 2 feet per second, how fast is the area changing when the radius is 10 feet? [Use A = πR2, π ≈ 3.14.]
Step by Step Answer:
Circumference C 2...View the full answer
College Mathematics for Business Economics Life Sciences and Social Sciences
ISBN: 978-0321614001
12th edition
Authors: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Finance questions
-
Refer to Problem 11-11. The best estimate for reduction of labor hours for the new system is 20% (compared with the used system). Investigate how sensitive the decision is to In Problem 11-11 A large...
-
Refer to Problem 11-1. What is the project's MIRR? Data from problem 11-1 Project K costs $52,125, its expected cash inflows are $12,000 per year for 8 years, and its WACC is 12%.
-
Refer to Problem 11-1. What is the project's discounted payback? Data from problem 11-1 Project K costs $52,125, its expected cash inflows are $12,000 per year for 8 years, and its WACC is 12%.
-
What types of decisions are made by football managers? Would you characterize these decisions as structured or unstructured problems? Explain.
-
On September 1, 2011, Quick Lube signed a 30-year, $1,080,000 mortgage note payable to Mifflinburg Bank and Trust in conjunction with the purchase of a building and land. The mortgage note calls for...
-
Halogenated compounds arc particularly easy to identify by their mass spectra because both chlorine and bromine occur naturally as mixtures of two abundant isotopes. Chlorine occurs as 35C1 (75.8%)...
-
Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution with a mean of 10 milliamperes and a variance of 4 (milliamperes) \({ }^{2}\). What is the...
-
In 2013, Lisa Perry opened Lisas Jeans Company, a small store that sold designer jeans in a suburban mall. Perry worked 14 hours a day and controlled all aspects of the operation. The company was...
-
1. Explain the transfer of energy from the water through the dam to become electricity that can be used in your home. ( In your response, be sure to identify sources of both potential and kinetic...
-
Karen Kluster opened Lube and Wash on January 1, 2016. The business is subject to FICA taxes. At the end of the first quarter of 2016, Kluster, as president of the company, must file Form 941,...
-
Refer to Problem 9. Suppose that the distance between the boat and the dock is decreasing by 3.05 feet per second. How fast is the rope being pulled in when the boat is 10 feet from the dock? Problem...
-
Refer to Problem 13. How fast is the surface area of the sphere increasing when the radius is 10 centimeters? [Use S = 4TTR2, TT * 3.14.] Problem 13 The radius of a spherical balloon is increasing at...
-
Let X,Y have joint density fXY(x,y) = l8e-2x-7y for 0 < y < x and fX,Y(x,y) = 0 otherwise. a. For y > 0, find the conditional density fX|Y(x | y) of X, given y = y. b. For a: > 0, find the...
-
If a dangerously violent person could be cured of violence through a new psychosurgical technique, would you approve the use of this technique? Suppose the person agreed toor requestedthe technique?...
-
What are the three bases of accounting for a private corporation?
-
Using Figure 14.12 (Problem 6), what is the maximum difference in change in payout between benefit programs (as compared to a year ago)? Data from Problem 6 Consider the graph shown in Figure 14.12....
-
When would the use of GAAP not be appropriate?
-
What will be achieved with harmonization of accounting standards? Why will standards never be completely the same around the world?
-
Presented below is an amortization schedule related to Spangler Companys 5-year, $100,000 bond with a 7% interest rate and a 5% yield, purchased on December 31, 2012, for $108,660. The following...
-
Sportique Boutique reported the following financial data for 2012 and 2011. Instructions(a) Calculate the current ratio for Sportique Boutique for 2012 and 2011.(b) Suppose that at the end of 2012,...
-
In Problems 13 and 14, find the derivative or indefinite integral as indicated. d ( fex dx) e-x dx
-
Is F(x) = ln x 2 an antiderivative of f(x) = 2/X ? Explain.
-
Is F(x) = ln x 2 an antiderivative of f(x) = ln (2x)? Explain.
-
Take any two-digit number, where the digits are not the same like 44, or 77. Reverse the digits, to get a second number. One number will be larger than the other number, so now subtract the larger...
-
Simplify 0.25 + 1.8 5s +1 25. 26. 2+3.24 2-25 27. 28. (s+V2)(s-3) 29. 12 228 4s + 32 30. $4 6 2-16 31. s + 10 32-s-2 1 32. (s + a)(s + b)
-
The table below presents the statements of retained earnings for Labelle Corporation for 3 successive years. Certain numbers are missing. Required: Use your understanding of the relationship between...
Study smarter with the SolutionInn App