A spherical snowball melts at a rate proportional to its surface area. Show that the rate of
Question:
A spherical snowball melts at a rate proportional to its surface area. Show that the rate of change of the radius is constant. Surface area = 4πr2.
Step by Step Answer:
the constant of ...View the full answer
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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 Mathematics questions
-
A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After 3 hours there are 8000 bacteria. (a) Find an expression for the number of bacteria after hours. (b)...
-
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420. (a) Find an expression for the number of bacteria...
-
A strain of tuberculosis bacteria grows at a rate proportional to its size. A researcher has determined that every hour the culture is 1.5 times larger than the hour before and that initially 1here...
-
The input file for this assignment is Weekly_Gas_Average.txt. The file contains the average gas price for each week of the year. Write a program that reads the gas prices from the file into an...
-
Describe the constraints on the qualitative characteristics of financial information.
-
Explain how HOTAIR plays a role in the transcriptional regulation of particular genes.
-
Degree of reaction of steam turbine is (a) \(\frac{(\Delta h)_{m}}{(\Delta h)_{m}+(\Delta h)_{f}}\) (b) \(\frac{(\Delta h)_{f}}{(\Delta h)_{m}+(\Delta h)_{f}}\) (c) \(\frac{(\Delta h)_{m}}{(\Delta...
-
Prairie Park was started on April 1 by C. J. Amaro and associates. The following selected events and transactions occurred during April. Apr. 1 Stockholders invested $50,000 cash in the business in...
-
You have a light spring which obeys Hooke's law. This spring stretches 2.88 cm vertically when a 2.30 kg object is suspended from it. Determine the following. (a)the force constant of the spring (in...
-
Rishma, a good friend from your university days, has just left your office. She remembered that you have specialized in tax and has come to you for advice an offer of employment that she has...
-
Evaluate the derivatives of the following functions. f(y) = tan -1 (2y 2 - 4)
-
Use implicit differentiation to find dy/dx. x + 2y = y
-
Compare the quantity and price of an oligopoly with that of a perfectly competitive market.
-
Analyze this quote: "They say a year in the Internet business is like a dog year... equivalent to seven years in a regular person's life. In other words, it's evolving fast and faster." F . Do you...
-
Retail channels add sales opportunities for your products but also impact your margin. Discuss the pros and cons of adding certain channels to your retail strategy. The response should be two-three...
-
The five steps of permission marketing result in increasing a firm's permissions to personal information. Explain an example of two of the types of permissions that you have encountered in your...
-
At the beginning of the year, Carla Vista Company had total assets of $763,000 and total liabilities of $296,000. Answer the following questions. (a) If total assets increased $134,000 during the...
-
I need to develop a strategic marketing plan for the KEG steakhouse and bar restaurant in Vancouver The following are the strategic objectives for the proposed marketing plan for the Keg 1.To...
-
Revisit the TV picture tube of Example Problem 17.3. Keeping all other parameters the same, what electron energy would result in a position uncertainty of 1.00 10 8 m?
-
The first law of thermodynamics is sometimes whimsically stated as, You cant get something for nothing, and the second law as, You cant even break even. Explain how these statements could be...
-
Evaluate the line integral C F dr, where C is given by the vector function r(t). F(x, y, z) = (x + y 2 ) i + xzj + (y + z) k, r(t) = t 2 i + t 3 j - 2t k, 0 < t < 2
-
Evaluate the line integral C F dr, where C is given by the vector function r(t). F(x, y, z) = sin x i + cos y j + xz k, r(t) = t 3 i - t 2 j + t k, 0 < t < 1
-
Evaluate the line integral C F dr, where C is given by the vector function r(t). F(x, y, z) = x i + y j + xy k, r(t) = cos t i + sin t j + t k, 0 < t <
-
(i) When should a firm cut dividend pay out rate and increase retention rate to maximize share price? (ii) How can the dividend-discount model handle changing growth rates?
-
November 2021 (actual) December 2021 (budgeted) January 2022 (budgeted) Cash sales $ 80.000 Credit sales Total sales 240,000 $320,000 $100,000 360,000 $460,000 $ 60,000 180,000 $240,000 Management...
-
A firm has 200 shareholders, you among them. Each shareholder owns $20 worth of sto addition, Mr. Hostile owns 50 shares (for a firm total of 250 shares) and is trying to fi management. In an attempt...
Study smarter with the SolutionInn App