Suppose that the variables x and y are related by the implicit equation X V = -3.3x 1.8 ln(x)+2.8y— 2.9 ln(y) dy where V is a constant. (This is an example of a Lotka-Volterra predator-prey model equation.) Use implicit differentiation to compute the derivative and evaluate it for x = 4 and y = 7. dx Enter your answer as a decimal. Round to three decimal places (as needed).

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.CR: Chapter 4 Review
Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Suppose that the variables x and y are related by the implicit equation
V = -3.3x1.8 ln(x)+2.8y-2.9 ln(y)
where V is a constant. (This is an example of a Lotka-Volterra predator-prey model
equation.) Use implicit differentiation to compute the derivative and evaluate it for
dy
dx
4 and y = 7.
Enter your answer as a decimal. Round to three decimal places (as needed).
X =
Transcribed Image Text:Suppose that the variables x and y are related by the implicit equation V = -3.3x1.8 ln(x)+2.8y-2.9 ln(y) where V is a constant. (This is an example of a Lotka-Volterra predator-prey model equation.) Use implicit differentiation to compute the derivative and evaluate it for dy dx 4 and y = 7. Enter your answer as a decimal. Round to three decimal places (as needed). X =
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