The volume and surface area of a jawbreaker for any radius is given by the formulas respectively.
Question:
The volume and surface area of a “jawbreaker” for any radius is given by the formulas
respectively. Roger Guffey estimates the radius of a jawbreaker while in a person’s mouth to be
where r(t) is in millimeters and t is in minutes.
(a) What is the life expectancy of a jawbreaker?
(b) Find dV/dt and dS/dt when t = 17 and interpret your answer.
4 V(r) = = πr³ 3 and S(r) = 4πr²,
Step by Step Answer:
a b When t 17 At t 17 minutes the ...View the full answer
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
-
Find the volume and surface area of each solid.. For formulas containing p, give an exact answer and then approximate using 22/7for Ï. 1. 2. 4 cm 4 cm 8 cm 11 mi 11 mi 11 mi
-
Find the volume and surface area of each solid.. For formulas containing p, give an exact answer and then approximate using 22/7for Ï. 1. Find the volume only. 2. Find the volume only. 10 ft 6...
-
Find the volume and surface area of each solid.. For formulas containing p, give an exact answer and then approximate using 22/7for Ï. 1. For surface area, use Ï = 3.14 and round to the...
-
Top executive officers of Preston Company, a merchandising firm, are preparing the next years budget. The controller has provided everyone with the current years projected income statement. Current...
-
Discuss five exceptions to foreign sovereign immunity pursuant to the Foreign Sovereign Immunities Act.
-
A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centimeters and standard deviation 3 centimeters. Find the probability that...
-
Identify and describe the four major documents prepared and filed in anticipation of trial.
-
Quilcene Oysteria farms and sells oysters in the Pacific Northwest. The company harvested and sold 8,000 pounds of oysters in August. The company's flexible budget for August appears below: Quilcene...
-
2. Fill-in the following using the data below. (42 points) At Haddon, Inc., the office workers are employed for a 40-hour workweek. All workers, except King and Manera, are entitled to overtime pay...
-
Write a method called average that accepts two integer parameters and returns their average as a floating point value.
-
Zenzizenzicube is another obsolete word that represents the square of the square of a cube. In symbols, zenzizenzicube is written as ((x 3 ) 2 ) 2 . (a) Use the chain rule twice to find the...
-
Suppose the demand function for q units of a certain item is where p is in dollars. (a) Find the marginal revenue. (b) Approximate the revenue from one more unit when 8 units are sold. (c) How might...
-
In 2008, the federal debt was about $10 trillion. In 2008, the U.S. population was about 304 million. Assuming that the federal debt is increasing about 7.8% per year and the U.S. population is...
-
For a sport facility to be effective and achieve its goals and objectives, the ownership and the governance structures must be able to successfully respond to changes in its environment.Changes in...
-
Sunvold Systems makes shot clocks for basketball games.The state of Missouri has decided to use shot clocks for all high school games and has awarded the contract to Sunvold Systems.Sunvold Systems...
-
You have a capital budget for the coming year of $5,000,000. You also have a list of all potential positive NPV capital projects for the coming year: Project A: Initial cost of $1,500,000 and NPV of...
-
In Figure, & = 12.0V, R = 2000, R = 3000, and R3= 40000. What are the potential differences (a) VA - VB. (b) VB - Vc, (c) Vc - VD, and (d) VA- Vc? R R A R D R Ro B
-
Explain how gross return on loan will change if compensating balance requirement increases?
-
To ensure that its employees did not use illegal drugs in or outside the workplace, Marvel Grocery Store required all employees to take a polygraph exam. Moreover, managers began to check employees'...
-
Recall that Chapter 8 described the binary search algorithm for finding a particular entry in an ordered list. The idea behind binary search is to begin looking in the exact center of the list. If...
-
Find each sum or difference, if possible. 4k 8y 6z 3x 5k + 6y 2z + 5x 2k + 5a 4k + 6a -4m + 2n 4 - 2n
-
Let Find each of the following. 2A -6 2 and B = -2 and 0. 4
-
Let Find the following. -3B -2 4 and B 0 3] -6 2 4 0. 3
-
How do organizations integrate emotional intelligence assessments into talent development programs to identify and nurture future leaders who demonstrate a sophisticated understanding of emotions and...
-
5. An investor's liabilities are given by two lump payments of 3,000 at the end of the first and second years. Two Zero Coupon Bonds (ZCB) each with face value 100 are available on the market; one...
-
You have found the following historical information for the Daniela Company over the past four years: Year 1 Year 2 Year 3 Year 4 Stock price EPS $ 49.65 2.42 $ $ 67.54 $ 60.50 58.32 2.59 2.74 2.88...
Study smarter with the SolutionInn App