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Math
CalculusSingle Variable Calculus: Early Transcendentals, Volume I8th Edition

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Chapter 4.7, Problem 14E
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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
Problem 75E
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the box that minimize the amount of material used.

To determine

To find: The dimension of the box that minimize the amount of material used whose volume is 3200 cm3 .

Explanation

Given:

The volume of a box with square base and open top = 3200 cm3 .

Calculation:

The volume of a box with a square base x by x cm and height h cm is V=x2h .

The amount of material used is directly proportional to the surface area. So, we will minimize the amount of material by minimizing the surface area.

The surface area of the box is A=x2+4xh .

So, V=x2×h=32000cm3 .

This provides the result as, h=32000x2 .

Therefore, area becomes (substitute the value of h)

A=x2+4⋅x(32000x2)=x2+128000x

Differentiate A with respect to x,

dAdx=2x−128000x2

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Chapter 4.7,
Problem 13E
Chapter 4.7,
Problem 15E
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Elementary Geometry For College Students, 7e

45. Tim Meekma owns a PepsiCo vending truck that holds 360 quarts of soda. Last Saturday at a carnival, Tim sol...

Contemporary Mathematics for Business & Consumers

Use the given information and a calculator to find to the nearest tenth of a degree if 0360. cos=0.2644 with ...

Trigonometry (MindTap Course List)

Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the power series. (...

Calculus: Early Transcendental Functions (MindTap Course List)

Sketching the Graph of a Trigonometric Function In Exercises 55-66, sketch the graph of the function. y=csc2x

Calculus of a Single Variable

Review Exercises Given: TWX is an isosceles, with base WX- RY-WX- Prove: RWXY is an isoscels trapezoid

Elementary Geometry for College Students

401k INVESTMENTS In a survey of 200 employees of a company regarding their 401k investments, the following data...

Finite Mathematics for the Managerial, Life, and Social Sciences

Simplified, log3 9x3 is: 2 + 3 log3 x 6 log3 x 9 log3 x 9 + log3 x

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Finding a General Solution In exercises 9-36, find the general solution of the linear differential equation. y3...

Multivariable Calculus

Precalculus or Calculus In Exercises 3-6.decide whether the problem can be solved using precalculus or whether ...

Calculus

The equation of the plane through ⟨−7, 2, 3⟩ with normal vector ⟨6, −4, 1⟩ is: 6x − 4y + z = −47 6x − 4y + z = ...

Study Guide for Stewart's Multivariable Calculus, 8th

Describe how individual differences can produce large variance within treatments and explain why this is a prob...

Research Methods for the Behavioral Sciences (MindTap Course List)

A spur gear is shown. Pitch circles of spur gears are the imaginary circles of meshing gears that make contact ...

Mathematics For Machine Technology

Describe the characteristics of a good hypothesis and identify examples of good and bad hypotheses.

Research Methods for the Behavioral Sciences (MindTap Course List)

A study investigated the relationship between audit delay (Delay), the length of time from a companys fiscal ye...

Statistics for Business & Economics, Revised (MindTap Course List)

The following data are from a completely randomized design. In the following calculations, use = .05. Treatmen...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Simplify the imaginary numbers. -2-24

College Algebra (MindTap Course List)

Phoenix is a hub for a large airline. Suppose that on a particular day, 8000 passengers arrived in Phoenix on t...

Introduction To Statistics And Data Analysis

Temperature Conversion Find a linear equation that expresses the relationship between the temperature in degree...

Calculus (MindTap Course List)

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