Question: A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 4r2 with respect to the radius when is?

A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 4πr2 with respect to the radius when is?
(a) 1 ft,
(b) 2 ft, and
(c) 3 ft. What conclusion can you make?

Step by Step Solution

★★★★★

3.45 Rating (181 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Sr 4 Sr 8r a S1 8m ftft b S2 167 ftft ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

M-C-D (24).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 2 cm/s. (a) Express the radius r of the balloon as a function of the time it (in seconds). (b) If V is...

A spherical balloon is partially blown up and its surface area is measured. More air is then added, increasing the volume of the balloon. If the surface area of the balloon expands by a factor of 2.0...

Find the rate of conduction heat transfer through a 1.5 cm thick hardwood board, k = 0.16 W/m K, with a temperature difference between the two sides of 20oC.

A spherical balloon is being inflated. Find the rate (inft2ft)of increase of the surface area (S=4r2) with respect to the radius r when ris each of the following.(a)7ft ft2ft(b)8ft ft2ft(c)9ft ft2ft

A spherical balloon is being inflated. Find the rate of increase of the surface area ( = 4 2 S = 4 r 2 ) with respect to the radius r when = 1 7 r = 1 7 : when = 7 r = 7 : Note: You may input pi for .

A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 42:12) with respect to the radius r when r is each of the following. (a) 4ft ftZ/ft (b) 8ft &2/& (c) 9ft...

Please generate answers to questions #13,17,19 in pics. Please show all work. 13. a. A company makes computer chips from square wafers of silicon. A process engineer wants to keep the side length of...

Kindly answer the following with solutions: QUESTION 1 A particle is moving along a hyperbola xy = 8. As it reaches the point (4, 2) , the y-coordinate is decreasing at a rate of 3 cm/s. How fast is...

A spherical balloon is being infalted. find the rate of increase of the surface area

The partnership of Wilson, Cho and Arrington has the following account information This partnership will be liquidated, and the partners are scheduled to receive cash equal to any ending positive...

Five-year-old Matthew opens a gate and walks into his neighbors' yard to play with their dog, a pit bull terrier. The dog-which had never attacked anyone before-attacks Matthew, badly mauling his...

Cul crees que es el papel ms importante del lder en la gestin de proyectos: el enfoque en la tarea o el enfoque en las personas? Por qu

A storage tank contains a liquid at depth y where y = 0 when the tank is half full. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal rate 3Q...

The Benson Manufacturing Company produces rides for amusement parks. Parts for the rides are purchased from other suppliers. Rides are then assembled in various company plants. Recently, Benson...

Muffin, Inc., located in Nauvoo, Illinois, manufactures high-end trumpets. The firms cost accountant, Lisa, has been assigned by the CEO to determine how many trumpets Muffin, Inc., needs to make and...

The Lewandowski Company manufactures special wheelchairs for handicapped athletes. The company uses a job order costing system. Partial data for a particular job include: Direct materials. . . . . ....

The Edelman Gem Company, a small jewelry manufacturer, has been successful and has enjoyed a good growth trend. Now Edelman is planning to go public with an issue of common stock , and it faces the...

A business takes a fire insurance policy to cover the loss of asets including A liabilities B stock C none of these

Find the most general antiderivative of the function. 1 x? + 1 9()

Find the most general antiderivative of the function. f() = 2 sin t 3e'

Find the most general antiderivative of the function. f(x) = x + cosh x

3. First, define the following terms: Sensitivity Specificity Positive predictive value Negative predictive value For the screening test for Down Syndrome the following results were obtained:...

Refer to the table below: Using the information provided on the two stocks in the table above, find the expected return and standard deviation on the minimum variance portfolio. Note: Do not round...

1. The following graph shows the number of car accidents occurring in one city in each of the years 2006 through 2011 (Year 1 = 2006, Year 2 = 2007 etc). The number of accidents dropped in 2008 after...