CAR HW3 Sp16 O’Brien CA 6th ed HLR College Algebra Homework Assignments – Part 3 General Directions Show all work. The more work you show me, the more partial credit I can give you. Graph manually unless you are specifically told to graph with a calculator. With every graph, include a t-chart with 5 “key” points (minima, maxima, inflection points, x-intercepts, y-intercepts). For an oblique line, you may give three points – the xintercept, the y-intercept, and one additional point. Give domains and ranges in interval notation. Unless otherwise directed, round answers to 3 decimal places. Always check your answers against the back of your textbook (for odds) or the instructor’s book (for evens). Cycle-back problems are NOT optional. __________________________________________________________________________________________ Assignment 25 5.1 p. 343: 37, 39, 55, 57, 60, 63, 65, 67, 72, 73, 78, 113, 116, 121, 122, 123, 124 Cycle-back: 3.8 #30 p. 256; 4.1 #44 p. 276; 4.3 #16 p. 300 __________________________________________________________________________________________ Assignment 26 5.2 p. 356: On 21 – 30, also list transformations. On 33 – 40, follow modified directions for 21 – 30. 21, 25, 26, 30, 33, 36, 37, 39, 41, 42, 47, 49, 69,70, 71, 73, 74 Cycle-back: 3.3 #57 p. 200 [Solve by completing the square.]; 3.7 #58 p. 247; 4.4 #80 p. 316 __________________________________________________________________________________________ Assignment 27A 5.3 p. 367: 5, 7, 10, 13, 17, 18, 19, 21, 24, 26, 28, 29, 30, 31, 32, 37, 39, 40, 47, 53 __________________________________________________________________________________________ Assignment 27B 5.3 p. 367: 57, 59, 60, 61, 62, 64, 67, 69, 71, 73, 74, 75, 77, 79, 80, 83, 84, 89, 92, 93 __________________________________________________________________________________________ Assignment 28 5.4 p.376: On 25 – 50, list transformations, the domain, & the equation of the VA, and give a t-chart with 5 points. 3, 5, 9, 14, 17, 25, 26, 29, 42, 43, 45, 47, 48, 53, 57, 59, 63, 64 Cycle-back: 3.4 p. 209 #24; 4.5 p. 324 #17 __________________________________________________________________________________________ Assignment 29 5.5 p. 385: 1, 3, 5, 6, 9, 12, 15, 18, 27, 28, 33, 39, 50, 51, 53, 55, 57 Cycle-back: 3.5 p. 224 #62; 4.2 p. 286 #12 [Also give the range, the x and y-intercepts, & the location of any holes.] 5.3 p. 368 #76 __________________________________________________________________________________________ Assignment 30 5.6 p. 394: 1, 2, 4, 5, 6, 7, 9, 10, 15, 22, 23, 24, 27, 28, 29, 49, 50 Cycle-back: 1.6 p. 72 #12; 3.7 p. 247 #56; 5.4 p. 376 #6 __________________________________________________________________________________________ 1 CAR HW3 Sp16 O’Brien CA 6th ed HLR __________________________________________________________________________________________ Assignment 31 6.3 p. 440: 31, 38, 39, 41, 44, 47, 61, 63, 69, 70, 71, 72 Cycle-back: 2.3 #92 p. 119; 4.4 #79 p. 316; 5.5 #56 p. 385 __________________________________________________________________________________________ Assignment 32A 6.7 p. 485: On 5 – 57, list the x & y-intercepts and show your test results along with your shaded graph. 5, 6, 11, 16, 37, 38, 41, 44, 49, 55, 56, 57 Cycle-back: Ch 2 Rev p. 164 #94; RBC p. 328 #6; Ch 5 Test p. 410 #20 __________________________________________________________________________________________ Assignment 32B 6.7 p. 485: On problems 88 – 93, list your constraints & the objective function; list the x & y-intercepts; show your test results along with your shaded graph; and clearly state your solution. 81, 82, 83, 86, 88, 90, 91, 92, 93 For the following add-on problems, use the given constraints to graph the feasible region; find the corner points of the feasible region; and then find the maximum and minimum values of the objective function. Add-on Problem 1: Find the maximum and minimum values of the objective function f = 4x + 6y subject to the constraints: 3x + 5y ≤ 177; x + 3y ≤ 99; x ≥ 0; y ≥ 0. Add-on Problem 2: Find the maximum and minimum values of the objective function f = 8x + 4y subject to the constraints: 3x + y ≤ 18; y – x ≤ 3; x + 4y ≤ 17; x ≥ 0; y ≥ 0. Add-on Problem 3: Find the maximum value of the objective function f = 8x + 7y subject to the constraints: x + y ≤ 9; x + y ≥ 2; x ≥ 0; y ≥ 0. __________________________________________________________________________________________ Assignment 33 8.1 p. 561: 2, 5, 9, 21, 24, 27, 30, 35, 41, 44, 59, 61, 64, 66, 67, 74, 75 Cycle-back: 3.2 p. 183 #8; 5.1 p. 344 #70; 6.3 p. 441 #48 __________________________________________________________________________________________ Assignment 34 8.2 p. 569: 10, 13, 14, 16, 20, 30, 36, 37, 38, 44, 53, 56, 61, 62, 75, 76, 77 Cycle-back: 3.7 p. 247 #61; 5.5 p. 385 #52; 6.7 p. 487 #87 __________________________________________________________________________________________ Assignment 35 8.3 p. 577: 5, 7, 12, 14, 15, 22, 23, 29, 36, 37, 38, 51, 54, 58, 64, 70, 71 Cycle-back: 2.3 p. 117 #35; 3.4 p. 208 #16; 8.2 p. 570 #73 __________________________________________________________________________________________ 2