Explanation Given Information: In a brush turkey, the oxygen consumption can be approximated by, c ( t ) = − 0.028 t 3 + 2.9 t 2 − 44 t + 95 Milliliters per day. Where t is the time since egg has been laid. Formula used: Steps to solve optimization problems: Step 1: Identify the unknowns with the aid of diagram. Step 2: Identify the objective function, the quantity to maximize or minimize. Step 3: Identify the constraint, the equations relating variables or inequalities expressing limitations on the value of the variables. Step 4: State the optimization problem Step 5: Eliminate the extra variables, solve the constraint for one unknown and substitute in the objective function. Step 6: Find the absolute maximum or absolute minimum of the objective function. Calculation: As it is provided that in a brush turkey, the oxygen consumption can be approximated by, c ( t ) = − 0.028 t 3 + 2.9 t 2 − 44 t + 95 milliliters per day. Where t is the time since egg has been laid. Now, differentiate the above function with respect to t as, c ′ ( t ) = − 0.084 t 2 + 5.8 t − 44 Now, since the extreme rate of change is required, so N ′ ( t ) is the objective function. Call this function r ( t ) . r ( t ) = − 0.084 t 2 + 5

Bundle: Finite Mathematics and Applied Calculus, Loose-leaf Version, 7th + WebAssign Printed Access Card for Waner/Costenoble's Finite Math and Applied Calculus, 7th Edition, Single-Term

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ISBN: 9781337604963

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 12.2, Problem 70E

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To calculate: The time at which the function c′(t) is a maximum if in a brush turkey, the oxygen consumption can be approximated by c(t)=−0.028t3+2.9t2−44t+95 milliliters per day.

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Chapter 12.2, Problem 69E

Chapter 12.2, Problem 71E

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The time at which the function c ′ ( t ) is a maximum if in a brush turkey, the oxygen consumption can be approximated by c ( t ) = − 0.028 t 3 + 2.9 t 2 − 44 t + 95 milliliters per day.

Solution Summary: The author explains how to calculate the oxygen consumption of the embryo in a brush turkey.

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To calculate: The time at which the function c′(t) is a maximum if in a brush turkey, the oxygen consumption can be approximated by c(t)=−0.028t3+2.9t2−44t+95 milliliters per day.

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