Contemporary Mathematics for Business & Consumers

8th Edition

ISBN: 9781305585447

Author: Robert Brechner, Geroge Bergeman

Publisher: Cengage Learning

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Textbook Question

Chapter 3.III, Problem 15RE

a. You are planning a party for your bowling league at Upper Crust Pizza. How many eight-slice pizzas must you order to feed 24 women who eat 2 1 8 slices each and 20 men who eat 3 3 4 slices each? Round to the nearest whole pizza.

b. If each pizza costs $11.89, what is the total cost?

Chapter 3.III, Problem 15RE, a. You are planning a party for your bowling league at Upper Crust Pizza. How many eight-slice

Pizza, Pizza! According to industry sources, each man, woman, and child in America eats an average of 46 slices (23 pounds) of pizza per year. The equivalent of 100 acres of pizza is consumed daily, or about 350 slices per second.

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Chapter 3.III, Problem 14RE

Chapter 3.III, Problem 16RE

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16. Solve the given differential equation: y" + 4y sin (t)u(t 2π), - y(0) = 1, y'(0) = 0 Given, 1 (x² + 1)(x²+4) 1/3 -1/3 = + x²+1 x² +4 Send your answer in pen and paper don't r eputed ur self down Don't send the same previous answer that was Al generated Don't use any Al tool show ur answer in pe n and paper then take

R denotes the field of real numbers, Q denotes the field of rationals, and Fp denotes the field of p elements given by integers modulo p. You may refer to general results from lectures. Question 1 For each non-negative integer m, let R[x]m denote the vector space consisting of the polynomials in x with coefficients in R and of degree ≤ m. x²+2, V3 = 5. Prove that (V1, V2, V3) is a linearly independent (a) Let vi = x, V2 = list in R[x] 3. (b) Let V1, V2, V3 be as defined in (a). Find a vector v € R[×]3 such that (V1, V2, V3, V4) is a basis of R[x] 3. [8] [6] (c) Prove that the map ƒ from R[x] 2 to R[x]3 given by f(p(x)) = xp(x) — xp(0) is a linear map. [6] (d) Write down the matrix for the map ƒ defined in (c) with respect to the basis (2,2x + 1, x²) of R[x] 2 and the basis (1, x, x², x³) of R[x] 3. [5]

Question 4 (a) The following matrices represent linear maps on R² with respect to an orthonormal basis: = [1/√5 2/√5 [2/√5 -1/√5] " [1/√5 2/√5] A = B = [2/√5 1/√5] 1 C = D = = = [ 1/3/5 2/35] 1/√5 2/√5 -2/√5 1/√5' For each of the matrices A, B, C, D, state whether it represents a self-adjoint linear map, an orthogonal linear map, both, or neither. (b) For the quadratic form q(x, y, z) = y² + 2xy +2yz over R, write down a linear change of variables to u, v, w such that q in these terms is in canonical form for Sylvester's Law of Inertia. [6] [4]

Chapter 3 Solutions

Contemporary Mathematics for Business & Consumers

Ch. 3.I - Read and write the following numbers in word...Ch. 3.I - Round the following numbers to the indicated...Ch. 3.I - Write the following numbers in word form. Ch. 3.I - Write the following numbers in word form. 2.48 Ch. 3.I - Write the following numbers in word form. 3. ...Ch. 3.I - Write the following numbers in word form. 4....Ch. 3.I - Prob. 5RE Ch. 3.I - Write the following numbers in word form. .000033 Ch. 3.I - Write the following numbers in word form. .00938 Ch. 3.I - Prob. 8RE

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