Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the follow 625p² - x² = 100 If 21000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 5¢/carton/week, at what rate is the supply changing whole number.) (Hint: To find the value of p when x = 21, solve the supply equation for p when x = 21.) X cartons per week.
Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the follow 625p² - x² = 100 If 21000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 5¢/carton/week, at what rate is the supply changing whole number.) (Hint: To find the value of p when x = 21, solve the supply equation for p when x = 21.) X cartons per week.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 20E
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Question
![Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the following equation.
625p²x² = 100
If 21000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 5¢/carton/week, at what rate is the supply changing? (Round your answer to the nearest
whole number.) (Hint: To find the value of p when x = 21, solve the supply equation for p when x 21.)
=
X cartons per week.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F706a4e11-39f0-4522-a6d5-52fa371391a8%2Ff737dad8-5839-4d27-8d22-9cab7de82d48%2Fv1xrq5_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the following equation.
625p²x² = 100
If 21000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 5¢/carton/week, at what rate is the supply changing? (Round your answer to the nearest
whole number.) (Hint: To find the value of p when x = 21, solve the supply equation for p when x 21.)
=
X cartons per week.
![Find the second derivative d²y/dx² of the function defined implicitly by the equation.
x¹/3 + y¹/3 = 94
d'y
dx² -
=
2x
5
2
( ² ),( ²³ ) – dy/dx²
-
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F706a4e11-39f0-4522-a6d5-52fa371391a8%2Ff737dad8-5839-4d27-8d22-9cab7de82d48%2F24uxeyp_processed.png&w=3840&q=75)
Transcribed Image Text:Find the second derivative d²y/dx² of the function defined implicitly by the equation.
x¹/3 + y¹/3 = 94
d'y
dx² -
=
2x
5
2
( ² ),( ²³ ) – dy/dx²
-
X
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