The rate at which the volume of a mothball evaporates from solid to gas is proportional to
Question:
(a) Express the radius of the mothball as a function of time.
(b) When will the mothball disappear completely?
Step by Step Answer:
a We have dVdt kA where V is the volume t is time A is the surface area and k is a positiv...View the full answer
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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 Linear Algebra questions
-
A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes....
-
A researcher recorded the rate at which a cricket chirps for various temperatures. A random selection of the data is shown in Table 13. Let R be the chirp rate (number of chirps per 13 seconds) when...
-
Suppose that energy is used at a rate proportional to the mass. In this case, where V represents the volume in cubic centimeters and t is time measured in days. The first term says that surface area...
-
Bank A has increased its leverage from 2016 to 2017 as shown below. Assume the bank invests in plain loans which yield an annual interest of 5% in both years. The annual interest paid on liabilities...
-
Sand Dollar Company purchases all merchandise on credit. It recently budgeted the following month-end accounts payable balances and merchandise inventory balances. Cash payments on accounts payable...
-
An employer has the right to monitor workers electronic communications if: (a) The employee consents. (b) The monitoring occurs in the ordinary course of business. (c) The employer provides the...
-
Explain why some of the strategies for making wise purchases may be more important than others, depending on the item being purchased.
-
The beginning inventory of merchandise at Dunne Co. and data on purchases and sales for a three-month period ending June 30, 2014, are as follows: Instructions 1. Record the inventory, purchases, and...
-
Bank A pays 5.9% interest, with annual compounding. Bank B pays 5.8% interest, with monthly compounding. A. Calculate the effective annual return in each bank. B. How long will it tak...
-
On January 1, 2019, Metco Inc. reported 290,000 shares of $4 par value common stock as being issued and outstanding On March 24, 2019, Metco Inc purchased for its treasury 4,000 shares of its common...
-
The sine function sin x has the property that the square of itself plus the square of its derivative is identically equal to one. Find the most general function that has this property.
-
Four bugs sit at the comers of a square carpet L in. on a side. Simultaneously, each starts walking at the same rate of I in/sec toward the bug on its right See Fig. 1.3.9(a). (a) Show that the bugs...
-
Identify the curve by finding a Cartesian equation for the curve. r = csc
-
Explain the components of consumer behavior and their implications on marketing decisions. Define components of consumer value; how value varies with situations; and the impact of value on consumer...
-
A 30,000 car loan is made at an interest rate of 6%, with monthly payments of $912.66. What is the balance on the loan at the end of the third month?
-
1. Briefly discuss the pros and cons of Greece leaving the euro and adopting its own currency. 2. Briefly explain the two main problems in a monetary union a fiscal union helps resolve. 3. The Taylor...
-
44. What are A. B. 43. What is information reach? A. D. C. D. C. A. B. B. 45. What is the ability of an organization to tailor its products or services to the customers' specifications?...
-
During 2009 Company BBYT had sales of $740,000. Cost of goods sold, administrative and selling expenses, and depreciation expenses were $571,000, $99.000, and $129,000, respectively. The company also...
-
Do people think they look different than they actually do? In particular, do they think they look better? Researchers Epley and Whitchurch (2008) tried to answer this question by taking pictures of...
-
2. Assume a person bends forward to lift a load "with his back" as shown in Figure P12.42a. The person's spine piv- ots mainly at the fifth lumbar vertebra, with the principal supporting force...
-
Suppose that in the cascade shown in Fig. 1.5.5, tank 1 initially contains 100 gal of pure ethanol and tank 2 initially contains 100 gal of pure water. Pure water flows into tank 1 at 10 gal/min, and...
-
A 30-year-old woman accepts an engineering position with a starting salary of $30,000 per year. Her salary S(t) increases exponentially, with S(t) = 30e t/20 thousand dollars after t years....
-
To solve the two equations in (10) for the values of k and M, begin by solving the first equation for the quantity x = e -50kM and the second equation for x 2 = e -100kM . Upon equating the two...
-
The range of sales or production activity over which the behavior of the cost is of interest to management is called the A. relevant range. B. activity base. C. sales mix. D. margin of safety
-
Match each of the following basic concepts and principles to the appropriate description. Completeness Timeliness Neutrality Verifiability Materiality Refers to the significance of information to...
-
zy Section 2.1 - IT 145: Intro to C Home D21 Module Two - IT-145-X5903 Hi I'm getting an error when | IT_145_2.2.3_Method_definiti | +...
Study smarter with the SolutionInn App