Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 63, Problem 34AR
Find the area of the pattern shown. Round the answer to the nearest square centimeter.
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Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 222 grams of protein and at least 162 grams of fat. If chicken costs 11¢ per ounce and grain costs 1¢ per ounce, how many ounces of each should Ruff use in each bag of dog food to minimize cost? (If an answer does not exist, enter DNE.)
Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution.
Remember that:
A matrix is in row echelon form if
Any row that consists only of zeros is at the bottom of the matrix.
The first non-zero entry in each other row is 1. This entry is called aleading 1.
The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.
7. Show that for R sufficiently large, the polynomial P(z) in Example 3, Sec. 5, satisfies
the inequality
|P(z)| R.
Suggestion: Observe that there is a positive number R such that the modulus of
each quotient in inequality (9), Sec. 5, is less than |an|/n when |z| > R.
Chapter 63 Solutions
Mathematics for Machine Technology
Ch. 63 - Prob. 1ARCh. 63 - Express each area in Exercises 1 through 6 as...Ch. 63 - Express each area in Exercises 1 through 6 as...Ch. 63 - Express each area in Exercises 1 through 6 as...Ch. 63 - Prob. 5ARCh. 63 - Express each area in Exercises 1 through 6 as...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...
Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The cross section of a dovetail slide is shown....Ch. 63 - Compute the area of the pattern shown. Round the...Ch. 63 - The following Exercises 22 through 27 involve...Ch. 63 - The following Exercises 22 through 27 involve...Ch. 63 - The following Exercises 22 through 27 involve...Ch. 63 - The following Exercises 22 through 27 involve...Ch. 63 - The following Exercises 22 through 27 involve...Ch. 63 - The following Exercises 22 through 27 involve...Ch. 63 - Find the area of each of the segments ACB for...Ch. 63 - Prob. 29ARCh. 63 - Find the area of each of the segments ACB for...Ch. 63 - Find the area of the shaded segment shown. Round...Ch. 63 - A circular plate with a 15.00-inch radius is cut...Ch. 63 - Compute the cross-sectional area of the grooved...Ch. 63 - Find the area of the pattern shown. Round the...Ch. 63 - Prob. 35ARCh. 63 - Express each volume in Exercises 35 through 40 as...Ch. 63 - Prob. 37ARCh. 63 - Express each volume in Exercises 35 through 40 as...Ch. 63 - Express each volume in Exercises 35 through 40 as...Ch. 63 - Express each volume in Exercises 35 through 40 as...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Prob. 45ARCh. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Prob. 47ARCh. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Prob. 49ARCh. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Prob. 51ARCh. 63 - Prob. 52ARCh. 63 - Prob. 53ARCh. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Prob. 56ARCh. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Prob. 60ARCh. 63 - Prob. 61ARCh. 63 - Diameter 9.050 centimeters; Volume Round the...Ch. 63 - Prob. 63ARCh. 63 - Volume = 42.98 cubic inches; Diameter = Round the...Ch. 63 - Volume = 775 cubic centimeters; Diameter = Round...Ch. 63 - The side view of a steel roundhead (hemisphere)...Ch. 63 - Prob. 67ARCh. 63 - A hollow glass sphere has an outside circumference...Ch. 63 - Prob. 69ARCh. 63 - Compute the number of cubic centimeters of iron...
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- 9. Establish the identity 1- 1+z+z² + 2n+1 ... +z" = 1- z (z1) and then use it to derive Lagrange's trigonometric identity: 1 1+ cos cos 20 +... + cos no = + 2 sin[(2n+1)0/2] 2 sin(0/2) (0 < 0 < 2л). Suggestion: As for the first identity, write S = 1+z+z² +...+z" and consider the difference S - zS. To derive the second identity, write z = eie in the first one.arrow_forward8. Prove that two nonzero complex numbers z₁ and Z2 have the same moduli if and only if there are complex numbers c₁ and c₂ such that Z₁ = c₁C2 and Z2 = c1c2. Suggestion: Note that (i≤ exp (101+0) exp (01-02) and [see Exercise 2(b)] 2 02 Ꮎ - = = exp(i01) exp(101+0) exp (i 01 - 02 ) = exp(102). i 2 2arrow_forwardnumerical anaarrow_forward
- 2) Consider the matrix M = [1 2 3 4 5 0 2 3 4 5 00345 0 0 0 4 5 0 0 0 0 5 Determine whether the following statements are True or False. A) M is invertible. B) If R5 and Mx = x, then x = 0. C) The last row of M² is [0 0 0 0 25]. D) M can be transformed into the 5 × 5 identity matrix by a sequence of elementary row operations. E) det (M) 120 =arrow_forward3) Find an equation of the plane containing (0,0,0) and perpendicular to the line of intersection of the planes x + y + z = 3 and x y + z = 5. -arrow_forward1) In the xy-plane, what type of conic section is given by the equation - √√√(x − 1)² + (y − 1)² + √√√(x + 1)² + (y + 1)² : - = 3?arrow_forward
- 3) Let V be the vector space of all functions f: RR. Prove that each W below is a subspace of V. A) W={f|f(1) = 0} B) W = {f|f(1) = ƒ(3)} C) W={ff(x) = − f(x)}arrow_forwardTranslate the angument into symbole from Then determine whether the argument is valid or Invalid. You may use a truth table of, it applicable compare the argument’s symbolic form to a standard valid or invalid form. pot out of bed. The morning I did not get out of bed This moring Mat woke up. (1) Cidt the icon to view tables of standard vald and braild forms of arguments. Let prepresent."The morning Must woke up "and let a represent “This morning I got out of bed.” Seled the cared choice below and II in the answer ber with the symbolic form of the argument (Type the terms of your expression in the same order as they appear in the original expression) A. The argument is valid In symbolic form the argument is $\square $ B. The angunent is braid In symbolic form the argument is $\square $arrow_forwardWrite the prime factorization of 8. Use exponents when appropriate and order the factors from least to greatest (for example, 22.3.5). Submitarrow_forward
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