Explanation Given information: y = 12 + 18 x − 5 x 2 Calculation: The graph of y = 12 + 18 x − 5 x 2 is given by To determine (b) To estimate: The value of x that maximizes y = 12 + 18 x − 5 x 2 using calculus.

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Question

Chapter 4.3, Problem 26P

To determine

(a)

To estimate:

The value of x that maximizes y=12+18x−5x2 and the corresponding value of y.

To determine

(b)

To estimate:

The value of x that maximizes y=12+18x−5x2 using calculus.

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Chapter 4.3, Problem 25P

Chapter 4.3, Problem 27P

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Question 3: A sealed flask at room temperature contains a mixture of neon (Ne) and nitrogen (N2) gases. Ne has a mass of 3.25 g and exerts a pressure of 48.2 torr. . N2 contributes a pressure of 142 torr. • What is the mass of the N2 in the flask? • Atomic mass of Ne = 20.1797 g/mol • Atomic mass of N = 14.0067 g/mol Solution: We will use the Ideal Gas Law to determine the number of moles of each gas and calculate the mass of N2. PV = nRT where: • P = total pressure • V volume of the flask (same for both gases) n = number of moles of gas • R 0.0821 L atm/mol K • T = Room temperature (assume 298 K) Since both gases are in the same flask, their partial pressures correspond to their mole fractions. Step 1: Convert Pressures to Atmospheres 48.2 PNe = 0.0634 atm 760 142 PN2 = = 0.1868 atm 760 Step 2: Determine Moles of Ne nNe = mass molar mass 3.25 nNe 20.1797 nne 0.1611 mol Step 3: Use Partial Pressure Ratio to Find n

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Chapter 4 Solutions

APPLIED CALCULUS-PRINT COMPANION (LL)

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(a) To estimate: The value of x that maximizes y = 12 + 18 x − 5 x 2 and the corresponding value of y.

Solution Summary: The author calculates the value of x that maximizes y=12+18x-5x2 using calculus.

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(a)

To estimate:

The value of x that maximizes y=12+18x−5x2 and the corresponding value of y.

(b)

To estimate:

The value of x that maximizes y=12+18x−5x2 using calculus.

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Chapter 4 Solutions

(a) To estimate: The value of x that maximizes y = 12 + 18 x − 5 x 2 and the corresponding value of y.

Solution Summary: The author calculates the value of x that maximizes y=12+18x-5x2 using calculus.

Concept explainers

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(a) To estimate: The value of x that maximizes y=12+18x−5x2 and the corresponding value of y.

(b) To estimate: The value of x that maximizes y=12+18x−5x2 using calculus.

Want to see the full answer?

Chapter 4 Solutions

(a)

To estimate:

The value of x that maximizes y=12+18x−5x2 and the corresponding value of y.

(b)

To estimate:

The value of x that maximizes y=12+18x−5x2 using calculus.