The radius of a circle is increasing at a rate of 2 ft min. At what rate
Question:
Step by Step Answer:
A r 2 dA ...View the full answer
Mathematical Applications for the Management Life and Social Sciences
ISBN: 978-1305108042
11th edition
Authors: Ronald J. Harshbarger, James J. Reynolds
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 Calculus questions
-
Suppose that when the radius of a circle is measured, an error is made that has a n(0, 2) distribution. If n independent measurements are made, find an unbiased estimator of the area of the circle....
-
The diameter of a circle is twice its radius, as shown in the Exercise 91 illustration. If the radius of a circle is 7/20 of a foot, what is its diameter?
-
If the radius of a circle is r and the length of the arc subtended by a central angle is also r, then the measure of the angle is 1 _______.
-
Examine existing HRM practices in your company or one that you know about. Which of them are the product of your countrys legal, economic, political or social institutions? Provide explanations for...
-
A sports car moving at constant speed travels 110m in 5.0s. If it then brakes and comes to a stop in 4.0s. What is its acceleration in m/s2? Express the answer in terms of gs where 1.00 g = 9.80 m/s2.
-
Which federal law is concerned with child labor, minimum wages, and overtime?
-
Prepare a statement of cash flows for the New Zealand Dairy Company for the year ended January 31, 2018. Interpret your results. New Zealand Dairy Company Balance Sheet for 01/31/2017 and 01/31/2018...
-
1. Write a decision statement for Raising Canes. 2. Write corresponding research objectives and research questions. 3. What role would a proposal play in assisting this research effort and in...
-
(a) The Treasury desk of a global bank incorporated in UK wants to invest GBP 200 million on 1st January, 2019 for a period of 6 months and has the following options: (1) The Equity Trading desk in...
-
Patrick Randall of Sports Supplies finds that maintaining appropriate levels of inventories while controlling costs is a major challenge. What are the challenges Patrick refers to?
-
A point is moving along the graph of the equation y = 5x3 - 2x. At what rate is y changing when x = 4 and is changing at a rate of 3 units sec?
-
The area of a circle is changing at a rate of 1 in2 / sec. At what rate is its radius changing when the radius is 2 in.?
-
Consider the method of lines solution to the unsteady diffusion equation subject to an initial condition c = 1 and first-order depletion reactions on each boundary, n J = kc, where n is an outward...
-
True Or False In determining whether a safety feature must be installed, courts consider the cost of the product and the magnitude of the danger without the safety feature.
-
Does section 402A of the Restatement apply to sales and services?
-
The key issue in a design-defect case based on a strict liability standard a. is the reasonableness of the manufacturer in placing the product on the market. b. the expectations of the consumer. c....
-
True Or False Those who argue that manufacturers should be strictly liable for damages resulting from the sale of their products justify their position on the basis that the modern sophistication of...
-
True Or False A defendant is strictly liable even if it is only because the plaintiff is conducting an abnormally sensitive activity.
-
Find the exact value of expression. Express angles in radians. Sec(cos -1 (-3/4))
-
Quality Chicken grows and processes chickens. Each chicken is disassembled into five main parts. Information pertaining to production in July 2012 is: Joint cost of production in July 2012 was $50. A...
-
If f has a minimum value at c, show that the function g(x) = f (x) has a maximum value at .
-
Prove Fermats Theorem for the case in which f has a local minimum at c.
-
A cubic function is a polynomial of degree 3; that is, it has the form f(x) = ax3 + bx2 + cx + d, where a 0. (a) Show that a cubic function can have two, one, or no critical number(s). Give examples...
-
If a tax Bear has a vacation home, that is issues personally by the taxpayer for part of the year, and as a rental for part of the year, how are expenses reported on its tax return?
-
Christopher and Janai have a new grandson. How much money should they invest now so that he will have $78,000 for his college education in 18 years? The money is invested at 3.8% compounded...
-
Jonas' current annual salary is $70,000. Ten years from now how much will he need to earn to retain his present purchasing power if the rate of inflation over that period is 2% /year compounded...
Study smarter with the SolutionInn App