Finite Mathematics and Calculus with Applications
Finite Mathematics and Calculus with Applications
1st Edition
ISBN: 9781323188361
Author: Margaret Lial
Publisher: Pearson Education
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Maximization
Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.
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Chapter 17, Problem 1RE

Determine whether each of the following statements false, and explain why.

1.    The graph of 6x – 2y + 7z = 14 is a plane.

Expert Solution & Answer
Check Mark
To determine

Whether the statement “The graph of 6x−2y+7z=14 is a plane” is true or not.

Answer to Problem 1RE

The statement is true.

Explanation of Solution

Definition used:

The graph of the equation ax+by+cz=d represented as a plane if a, b and c are not all 0.

Observation:

The given equation is, 6x−2y+7z=14 .

By the definition, the above equation match with the general plane equation with a=6 , b=−2 and c=7 .

Therefore, the graph of the equation 6x−2y+7z=14 represented as a plane.

Thus, the given statement is true.

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Chapter 17.6, Problem 71E
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Chapter 17 Solutions

Finite Mathematics and Calculus with Applications

Ch. 17.1 - For the function in Example 1, find f(2, 3)....Ch. 17.1 - Prob. 2YTCh. 17.1 - Prob. 3YTCh. 17.1 - Prob. 4YTCh. 17.1 - Prob. 1WECh. 17.1 - Prob. 2WECh. 17.1 - Prob. 3WECh. 17.1 - Prob. 4WECh. 17.1 - Prob. 5WECh. 17.1 - Prob. 6WE
Ch. 17.1 - Let f(x, y) = 2x 3y + 5. Find the following....Ch. 17.1 - Prob. 2ECh. 17.1 - Prob. 3ECh. 17.1 - Prob. 4ECh. 17.1 - Prob. 5ECh. 17.1 - Prob. 6ECh. 17.1 - Prob. 7ECh. 17.1 - Prob. 8ECh. 17.1 - Graph the first-octant portion of each plane. 9.2x...Ch. 17.1 - Prob. 10ECh. 17.1 - Prob. 11ECh. 17.1 - Prob. 12ECh. 17.1 - Prob. 13ECh. 17.1 - Prob. 14ECh. 17.1 - Prob. 15ECh. 17.1 - Prob. 16ECh. 17.1 - Prob. 17ECh. 17.1 - Prob. 18ECh. 17.1 - Prob. 19ECh. 17.1 - Prob. 20ECh. 17.1 - Prob. 21ECh. 17.1 - Prob. 22ECh. 17.1 - Match each equation in Exercises 2328 with its...Ch. 17.1 - Prob. 24ECh. 17.1 - Prob. 25ECh. 17.1 - Match each equation in Exercises 2328 with its...Ch. 17.1 - Prob. 27ECh. 17.1 - Prob. 28ECh. 17.1 - Prob. 29ECh. 17.1 - Prob. 30ECh. 17.1 - Prob. 31ECh. 17.1 - Prob. 32ECh. 17.1 - Prob. 33ECh. 17.1 - Prob. 34ECh. 17.1 - Production Find the level curve at a production of...Ch. 17.1 - Prob. 36ECh. 17.1 - Prob. 37ECh. 17.1 - Individual Retirement Accounts The multiplier...Ch. 17.1 - Individual Retirement Accounts The multiplier...Ch. 17.1 - Heat Loss The rate of heal loss (in watts) in...Ch. 17.1 - Prob. 41ECh. 17.1 - Prob. 42ECh. 17.1 - Pollution Intolerance According to research at the...Ch. 17.1 - Dengue Fever In tropical regions, dengue fever is...Ch. 17.1 - Prob. 45ECh. 17.1 - Prob. 46ECh. 17.1 - Prob. 47ECh. 17.1 - Prob. 48ECh. 17.1 - Prob. 49ECh. 17.1 - Prob. 50ECh. 17.1 - Prob. 51ECh. 17.2 - Prob. 1YTCh. 17.2 - Prob. 2YTCh. 17.2 - Prob. 3YTCh. 17.2 - Prob. 4YTCh. 17.2 - Prob. 1WECh. 17.2 - Prob. 2WECh. 17.2 - Prob. 3WECh. 17.2 - Prob. 4WECh. 17.2 - Prob. 5WECh. 17.2 - Prob. 6WECh. 17.2 - Prob. 7WECh. 17.2 - Prob. 8WECh. 17.2 - Prob. 1ECh. 17.2 - Prob. 2ECh. 17.2 - Prob. 3ECh. 17.2 - Prob. 4ECh. 17.2 - Prob. 5ECh. 17.2 - Prob. 6ECh. 17.2 - Prob. 7ECh. 17.2 - Prob. 8ECh. 17.2 - Prob. 9ECh. 17.2 - Prob. 10ECh. 17.2 - Prob. 11ECh. 17.2 - Prob. 12ECh. 17.2 - Prob. 13ECh. 17.2 - Prob. 14ECh. 17.2 - Prob. 15ECh. 17.2 - Prob. 16ECh. 17.2 - Prob. 17ECh. 17.2 - Prob. 18ECh. 17.2 - Prob. 19ECh. 17.2 - Prob. 20ECh. 17.2 - Prob. 21ECh. 17.2 - Prob. 22ECh. 17.2 - Prob. 23ECh. 17.2 - Prob. 24ECh. 17.2 - Prob. 25ECh. 17.2 - Prob. 26ECh. 17.2 - Prob. 27ECh. 17.2 - Prob. 28ECh. 17.2 - Prob. 29ECh. 17.2 - Prob. 30ECh. 17.2 - Prob. 31ECh. 17.2 - Prob. 32ECh. 17.2 - Prob. 33ECh. 17.2 - Prob. 34ECh. 17.2 - Prob. 35ECh. 17.2 - Prob. 36ECh. 17.2 - Prob. 37ECh. 17.2 - Prob. 38ECh. 17.2 - Prob. 39ECh. 17.2 - Prob. 40ECh. 17.2 - Find fx(x,y,z),fy(x,y,z),fz(x,y,z), and fyz(x,y,z)...Ch. 17.2 - Prob. 42ECh. 17.2 - Prob. 43ECh. 17.2 - Prob. 44ECh. 17.2 - Business and Economics 45.Manufacturing Cost...Ch. 17.2 - Prob. 46ECh. 17.2 - Prob. 47ECh. 17.2 - Prob. 48ECh. 17.2 - Prob. 49ECh. 17.2 - Prob. 50ECh. 17.2 - Prob. 51ECh. 17.2 - Prob. 52ECh. 17.2 - Prob. 53ECh. 17.2 - Prob. 54ECh. 17.2 - Prob. 55ECh. 17.2 - Prob. 56ECh. 17.2 - Prob. 57ECh. 17.2 - Prob. 58ECh. 17.2 - Prob. 59ECh. 17.2 - Prob. 60ECh. 17.2 - Prob. 61ECh. 17.2 - Prob. 62ECh. 17.2 - Drug Reaction The reaction to x units of a drug t...Ch. 17.2 - Prob. 64ECh. 17.2 - Prob. 66ECh. 17.2 - Prob. 67ECh. 17.2 - Prob. 68ECh. 17.2 - Gravitational Attraction The gravitational...Ch. 17.2 - Velocity In 1931, Albert Einstein developed the...Ch. 17.2 - Prob. 71ECh. 17.3 - Prob. 1YTCh. 17.3 - Prob. 2YTCh. 17.3 - Prob. 1WECh. 17.3 - Prob. 2WECh. 17.3 - Prob. 1ECh. 17.3 - Prob. 2ECh. 17.3 - Prob. 3ECh. 17.3 - Prob. 4ECh. 17.3 - Prob. 5ECh. 17.3 - Prob. 6ECh. 17.3 - Prob. 7ECh. 17.3 - Prob. 8ECh. 17.3 - Prob. 9ECh. 17.3 - Prob. 10ECh. 17.3 - Prob. 11ECh. 17.3 - Prob. 12ECh. 17.3 - Prob. 13ECh. 17.3 - Prob. 14ECh. 17.3 - Prob. 15ECh. 17.3 - Prob. 16ECh. 17.3 - Prob. 17ECh. 17.3 - Prob. 18ECh. 17.3 - Prob. 19ECh. 17.3 - Prob. 20ECh. 17.3 - Prob. 21ECh. 17.3 - Prob. 22ECh. 17.3 - Prob. 23ECh. 17.3 - Figures (a)(f) show the graphs of the functions...Ch. 17.3 - Prob. 25ECh. 17.3 - Prob. 26ECh. 17.3 - Prob. 27ECh. 17.3 - Prob. 28ECh. 17.3 - Prob. 29ECh. 17.3 - Prob. 30ECh. 17.3 - Prob. 31ECh. 17.3 - Prob. 32ECh. 17.3 - Prob. 33ECh. 17.3 - Prob. 34ECh. 17.3 - Prob. 35ECh. 17.3 - Prob. 36ECh. 17.3 - Prob. 37ECh. 17.3 - Prob. 38ECh. 17.3 - Prob. 39ECh. 17.3 - Prob. 40ECh. 17.3 - Prob. 42ECh. 17.4 - Prob. 1YTCh. 17.4 - Prob. 1WECh. 17.4 - Prob. 2WECh. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Prob. 11ECh. 17.4 - Find positive numbers x and y such that x + y = 48...Ch. 17.4 - Prob. 13ECh. 17.4 - Prob. 14ECh. 17.4 - Find the maximum and minimum values of f(x, y) =x3...Ch. 17.4 - Prob. 16ECh. 17.4 - Prob. 17ECh. 17.4 - Prob. 18ECh. 17.4 - Prob. 19ECh. 17.4 - Prob. 20ECh. 17.4 - Prob. 21ECh. 17.4 - Discuss the advantages and disadvantages of the...Ch. 17.4 - Prob. 23ECh. 17.4 - Prob. 24ECh. 17.4 - Prob. 25ECh. 17.4 - Prob. 26ECh. 17.4 - Prob. 27ECh. 17.4 - Prob. 28ECh. 17.4 - Prob. 29ECh. 17.4 - Prob. 30ECh. 17.4 - Prob. 31ECh. 17.4 - Prob. 32ECh. 17.4 - Prob. 33ECh. 17.4 - Prob. 34ECh. 17.4 - Prob. 35ECh. 17.4 - Prob. 36ECh. 17.4 - Prob. 37ECh. 17.4 - Prob. 38ECh. 17.4 - Prob. 39ECh. 17.4 - Prob. 40ECh. 17.4 - Prob. 41ECh. 17.4 - Prob. 42ECh. 17.5 - Prob. 1YTCh. 17.5 - Prob. 2YTCh. 17.5 - Prob. 3YTCh. 17.5 - Prob. 1WECh. 17.5 - Prob. 2WECh. 17.5 - Prob. 3WECh. 17.5 - Prob. 4WECh. 17.5 - Prob. 1ECh. 17.5 - Prob. 2ECh. 17.5 - Prob. 3ECh. 17.5 - Prob. 4ECh. 17.5 - Prob. 5ECh. 17.5 - Prob. 6ECh. 17.5 - Prob. 7ECh. 17.5 - Prob. 8ECh. 17.5 - Prob. 9ECh. 17.5 - Prob. 10ECh. 17.5 - Prob. 11ECh. 17.5 - Prob. 12ECh. 17.5 - Prob. 13ECh. 17.5 - Prob. 14ECh. 17.5 - Prob. 15ECh. 17.5 - Prob. 16ECh. 17.5 - Volume of a Coating An industrial coaling 0.1 in....Ch. 17.5 - Prob. 18ECh. 17.5 - Prob. 19ECh. 17.5 - Prob. 20ECh. 17.5 - Prob. 21ECh. 17.5 - Prob. 22ECh. 17.5 - Prob. 23ECh. 17.5 - Prob. 24ECh. 17.5 - Life Span As we saw in Exercise 62 of Section...Ch. 17.5 - Prob. 26ECh. 17.5 - Prob. 27ECh. 17.5 - Prob. 28ECh. 17.5 - Prob. 29ECh. 17.5 - Prob. 30ECh. 17.5 - Prob. 31ECh. 17.5 - Prob. 32ECh. 17.5 - Prob. 33ECh. 17.5 - Prob. 34ECh. 17.5 - Prob. 35ECh. 17.6 - Prob. 1YTCh. 17.6 - Evaluate 02[13(6x2y2+4xy+8x3+10y4+3)dy]dx and then...Ch. 17.6 - Prob. 3YTCh. 17.6 - Prob. 4YTCh. 17.6 - Prob. 5YTCh. 17.6 - Prob. 1WECh. 17.6 - Evaluate each definite integral. W2.23x+6dxCh. 17.6 - Prob. 3WECh. 17.6 - Prob. 4WECh. 17.6 - Prob. 5WECh. 17.6 - Prob. 6WECh. 17.6 - Prob. 1ECh. 17.6 - Prob. 2ECh. 17.6 - Prob. 3ECh. 17.6 - Prob. 4ECh. 17.6 - Prob. 5ECh. 17.6 - Prob. 6ECh. 17.6 - Prob. 7ECh. 17.6 - Prob. 8ECh. 17.6 - Prob. 9ECh. 17.6 - Prob. 10ECh. 17.6 - Prob. 11ECh. 17.6 - Prob. 12ECh. 17.6 - Prob. 13ECh. 17.6 - Prob. 14ECh. 17.6 - Prob. 15ECh. 17.6 - Prob. 16ECh. 17.6 - Prob. 17ECh. 17.6 - Prob. 18ECh. 17.6 - Prob. 19ECh. 17.6 - Prob. 20ECh. 17.6 - Prob. 21ECh. 17.6 - Prob. 22ECh. 17.6 - Prob. 23ECh. 17.6 - Prob. 24ECh. 17.6 - Prob. 25ECh. 17.6 - Prob. 26ECh. 17.6 - Prob. 27ECh. 17.6 - Prob. 28ECh. 17.6 - Prob. 29ECh. 17.6 - Prob. 30ECh. 17.6 - Prob. 31ECh. 17.6 - Prob. 32ECh. 17.6 - Prob. 33ECh. 17.6 - Prob. 34ECh. 17.6 - Prob. 35ECh. 17.6 - Prob. 36ECh. 17.6 - Prob. 37ECh. 17.6 - Prob. 38ECh. 17.6 - Prob. 39ECh. 17.6 - Prob. 40ECh. 17.6 - Prob. 41ECh. 17.6 - Prob. 42ECh. 17.6 - Prob. 43ECh. 17.6 - Use the region R with the indicated boundaries to...Ch. 17.6 - Prob. 45ECh. 17.6 - Prob. 46ECh. 17.6 - Prob. 47ECh. 17.6 - Prob. 48ECh. 17.6 - Prob. 49ECh. 17.6 - Prob. 50ECh. 17.6 - Prob. 51ECh. 17.6 - Prob. 52ECh. 17.6 - Prob. 53ECh. 17.6 - Prob. 54ECh. 17.6 - Prob. 55ECh. 17.6 - Prob. 56ECh. 17.6 - Prob. 57ECh. 17.6 - Prob. 58ECh. 17.6 - Prob. 59ECh. 17.6 - Prob. 60ECh. 17.6 - Prob. 61ECh. 17.6 - Prob. 62ECh. 17.6 - Prob. 63ECh. 17.6 - Prob. 64ECh. 17.6 - Prob. 65ECh. 17.6 - Prob. 66ECh. 17.6 - Prob. 67ECh. 17.6 - Prob. 68ECh. 17.6 - Prob. 69ECh. 17.6 - Time In Exercise 39 of Section 17.3, we saw that...Ch. 17.6 - Profit In Exercise 38 of Section 17.3, we saw that...Ch. 17 - Determine whether each of the following statements...Ch. 17 - Prob. 2RECh. 17 - Prob. 3RECh. 17 - Prob. 4RECh. 17 - Prob. 5RECh. 17 - Prob. 6RECh. 17 - Prob. 7RECh. 17 - Prob. 8RECh. 17 - Prob. 9RECh. 17 - Prob. 10RECh. 17 - Prob. 11RECh. 17 - Prob. 12RECh. 17 - Prob. 13RECh. 17 - Prob. 14RECh. 17 - Prob. 15RECh. 17 - Prob. 16RECh. 17 - Prob. 17RECh. 17 - Prob. 18RECh. 17 - Prob. 19RECh. 17 - Prob. 20RECh. 17 - Prob. 21RECh. 17 - Prob. 22RECh. 17 - Prob. 23RECh. 17 - Prob. 24RECh. 17 - Prob. 25RECh. 17 - Prob. 26RECh. 17 - Prob. 27RECh. 17 - Prob. 28RECh. 17 - Prob. 29RECh. 17 - Prob. 30RECh. 17 - Prob. 31RECh. 17 - Prob. 32RECh. 17 - Prob. 33RECh. 17 - Prob. 34RECh. 17 - Prob. 35RECh. 17 - Prob. 36RECh. 17 - Prob. 37RECh. 17 - Prob. 38RECh. 17 - Prob. 39RECh. 17 - Prob. 40RECh. 17 - Prob. 41RECh. 17 - Prob. 42RECh. 17 - Prob. 43RECh. 17 - Prob. 44RECh. 17 - Prob. 45RECh. 17 - Prob. 46RECh. 17 - Prob. 47RECh. 17 - Prob. 48RECh. 17 - Prob. 49RECh. 17 - Prob. 50RECh. 17 - Prob. 51RECh. 17 - Prob. 52RECh. 17 - Prob. 53RECh. 17 - Prob. 54RECh. 17 - Prob. 55RECh. 17 - Prob. 56RECh. 17 - Prob. 57RECh. 17 - Prob. 58RECh. 17 - Evaluate dz using the given information. 59.z =...Ch. 17 - Prob. 60RECh. 17 - Prob. 61RECh. 17 - Prob. 62RECh. 17 - Prob. 63RECh. 17 - Prob. 64RECh. 17 - Prob. 65RECh. 17 - Prob. 66RECh. 17 - Prob. 67RECh. 17 - Prob. 68RECh. 17 - Prob. 69RECh. 17 - Prob. 70RECh. 17 - Prob. 71RECh. 17 - Prob. 72RECh. 17 - Prob. 73RECh. 17 - Prob. 74RECh. 17 - Prob. 75RECh. 17 - Prob. 76RECh. 17 - Prob. 77RECh. 17 - Prob. 78RECh. 17 - Prob. 79RECh. 17 - Prob. 80RECh. 17 - Prob. 81RECh. 17 - Prob. 82RECh. 17 - Prob. 83RECh. 17 - Evaluate each double integral. If the function...Ch. 17 - Prob. 85RECh. 17 - Prob. 86RECh. 17 - Prob. 87RECh. 17 - Prob. 88RECh. 17 - Prob. 89RECh. 17 - Prob. 90RECh. 17 - Prob. 91RECh. 17 - Prob. 92RECh. 17 - Prob. 93RECh. 17 - Prob. 94RECh. 17 - Prob. 95RECh. 17 - Prob. 96RECh. 17 - Profit The total profit from 1 acre of a certain...Ch. 17 - Prob. 98RECh. 17 - Prob. 99RECh. 17 - Prob. 100RECh. 17 - Prob. 101RECh. 17 - Prob. 102RECh. 17 - Prob. 103RECh. 17 - Prob. 104RECh. 17 - Prob. 105RECh. 17 - Prob. 106RE
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Finding The Focus and Directrix of a Parabola - Conic Sections; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=KYgmOTLbuqE;License: Standard YouTube License, CC-BY