A stone is thrown into a pond, creating a circular ripple that spreads over the pond in
Question:
(a) Find a function r(t) for the radius in terms of t.
(b) Find a function A(t) for the area of the ripple in terms of the radius r.
(c) Find (Aor) (t). Explain the meaning of this function.
Step by Step Answer:
a Use the distance formula distance rate time Sub...View the full answer
College Algebra Graphs and Models
ISBN: 978-0321845405
5th edition
Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
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 stone is thrown from the edge of a bridge that is 48 ft above the ground with an initial velocity of 32 ft/s. The height of this stone above the ground t seconds after it is thrown is f (t) = -16t...
-
If a stone is thrown vertically upward from the surface of the moon with a velocity of 10 m/s, its height (in meters) after t seconds is h = 10t 0.83t2. (a) What is the velocity of the stone after 3...
-
Projectile Motion. A stone thrown downward with an initial velocity of 34.3 m/sec will travel a distance of s meters, where s(t) = 4.9t2 + 34.3t and t is in seconds. If a stone is thrown downward at...
-
Baseball Magazine, a domestic corporation, markets pictures of baseball players on its website. Its database server is in the Cayman Islands. Baseball fans access the Web page and use their credit...
-
Houston Fashions is considering a new product line that would require an investment of $ 140,000 in fixtures and displays and $ 180,000 in working capital. Store managers expect the following pattern...
-
If the price of the input on the x-axis decreases, then the slope of the isocost line will: a. become steeper b. become less steep c. shift out parallel d. shift in parallel
-
What are some of the disadvantages of using social media?
-
The chart of accounts of Avery?s Delivery Service is as follows: Avery?s Delivery Service completed the following transactions during the month of October: 1. Audrey Avery invested $33,000 in the...
-
Acme Company uses process costing. Here are data regarding the first processing department for the current month: Work in process inventory, beginning Units Direct material costs 2,700 units $14,800...
-
Suggest a design pattern that you encounter in a category of everyday things (e.g., consumer electronics, automobiles, appliances). Briefly describe the pattern.
-
Find f(x) and g(x) such that h(x) = 1fog(x). (a) h(x) = (4 + 3x)5 (b) h(x) = 3x2 - 8 (c) h(x) = 1 / (x - 2)4
-
The surface area S of a right circular cylinder is given by the formula S = 2prh + 2pr2. If the height is twice the radius, find each of the following. (a) A function S1r2 for the surface area as a...
-
a. Convert the data in part (a) of Exercise 3 to ranks, separately for each variable, in order to compute the Spearman rank-order correlation coefficient. Test r S for statistical significance by...
-
What are the differences and similarities exist for business communication and public administration communication. for examples: Do businesses and public administration have the same goal?
-
A small office building has the fallen characteristics that operating income is 65,000 operating expenses a capital expeditions is 33,000 they can see in collection losses 5000. What is the potential...
-
Describe the relationship in the graph between supply & demand prices and state the equilibrium. Discuss the importance of equilibrium. (Research required) Research OUTDOOR GRILL from an economic...
-
A company has TR/yr $10 mn. Accounting cost is $9mn. The owner is a Stanford graduate who was offered $600,000 to work in a tech company in LA. What is the economic cost and economic profit of the...
-
Assume that Ibuprofen is NOT covered by health insurance.What does happen to the price and quantity exchanged of Ibuprofen , in the short term and holding everything else constant, if the price of...
-
Adult literacy in the United States is an important issue. Analyze the General Social Survey to test the null hypothesis that there is no relationship between the number of correct words in...
-
One study found that the elderly who do not have children dissave at about the same rate as the elderly who do have children. What might this finding imply about the reason the elderly do not dissave...
-
Shania bought a $1,455 drum set on the installment plan. The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each. a. How much is the down payment? b. What is the...
-
Carly took a $7,000, three-year loan with an APR of 8.15%. a. What is the monthly payment? b. What is the total amount of the monthly payments? c. What is the finance charge?
-
Sarah is taking out a $24,400, four-year new-car loan with an APR of 6.88%. What is the finance charge for this loan? Round to the nearest hundred dollars.
-
If a family spends its entire budget in a given time frame, the family can afford either 8 dance lessons or 5 karate lessons. Assuming the family spends its entire budget on just these two goods,...
-
Part 5 - Stretch Your Thinking- Answer the questions 18. Applying the least-cost rule is similar to applying the utility maximizing rule. Identify two similarities and two differences regarding these...
-
If today's youth learn the skills that they need to work in the global workforce before they leave school, then the economic crisis will end because unemployment will be greatly reduced." What...
Study smarter with the SolutionInn App