Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Textbook Question
Chapter 61, Problem 18A
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified.
A right circular cone 12.7 centimeters high contains 198.7 cubic centimeters of material. Find the area of the base of the cone. Round the answer to the nearest square centimeter.
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Pidgeonhole Principle
1. The floor of x, written [x], also called the integral part, integer part, or greatest integer, is defined
as the greatest integer less than or equal to x. Similarly the ceiling of x, written [x], is the smallest
integer greater than or equal to x. Try figuring out the answers to the following:
(a) [2.1]
(b) [2]
(c) [2.9]
(d) [2.1]
(e) [2]
(f) [2.9]
2. The simple pidgeonhole principle states that, if you have N places and k items (k> N), then at
least one hole must have more than one item in it. We tried this with chairs and students: Assume you
have N = 12 chairs and k = 18 students. Then at least one chair must have more than one student on
it.
3. The general pidgeonhole principle states that, if you have N places and k items, then at least one
hole must have [] items or more in it. Try this out with
(a) n = 10 chairs and k = 15 students
(b) n = 10 chairs and k = 23 students
(c) n = 10 chairs and k = 20 students
4. There are 34 problems on these pages, and we…
Determine if the set of vectors is linearly independent or linearly dependent.
linearly independent
O linearly dependent
Save Answer
Q2.2
1 Point
Determine if the set of vectors spans R³.
they span R³
they do not span R³
Save Answer
23
Q2.3
1 Point
Determine if the set of vectors is linearly independent or linearly dependent.
linearly independent
O linearly dependent
Save Answer
1111
1110
Q2.4
1 Point
Determine if the set of vectors spans R4.
O they span R4
they do not span IR4
1000;
111O'
Chapter 61 Solutions
Mathematics for Machine Technology
Ch. 61 - A rectangular strip of steel 2 ft 4 in. long, 1 ft...Ch. 61 - In order to make a conical duct, a circular sheet...Ch. 61 - A square bar 78 in. on a side is to be milled from...Ch. 61 - Construct a regular hexagon 3 cm on a side. By...Ch. 61 - Two angles of a triangle measure 7318' and 4947'....Ch. 61 - Prob. 6ACh. 61 - Prob. 7ACh. 61 - Prob. 8ACh. 61 - Prob. 9ACh. 61 - Prob. 10A
Ch. 61 - Solve these exercises. Where necessary, round the...Ch. 61 - Prob. 12ACh. 61 - A vessel is in the shape of a right circular cone....Ch. 61 - Prob. 14ACh. 61 - Prob. 15ACh. 61 - A piece in the shape of a pyramid with a regular...Ch. 61 - Prob. 17ACh. 61 - Solve these exercises. Where necessary, round the...Ch. 61 - Prob. 19ACh. 61 - Prob. 20ACh. 61 - Prob. 21ACh. 61 - Solve these exercises. Where necessary, round the...Ch. 61 - Prob. 23ACh. 61 - Prob. 24ACh. 61 - Prob. 25ACh. 61 - The container is in the shape of a frustum of a...Ch. 61 - A steel forging is in the shape of a frustum of a...Ch. 61 - Find the volume of the frustum of a right circular...Ch. 61 - Prob. 29ACh. 61 - The side view of a tapered steel shaft is shown....Ch. 61 - A zinc casting is in the shape of a frustum of a...Ch. 61 - A piece in the shape of a frustum of a pyramid...Ch. 61 - Find the volume of a hollow machined steel piece...Ch. 61 - Prob. 34A
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