Chapter 6.4, Problem 16ES

Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogonal to W. 2 1 -1 - 1 5 0 y= u1 Աշ U3 = 1 1 1 - 4 1 y= (Type an integer or simplified fraction for each matrix element.) ...

3) Use the following system of linear inequalities graphed below to answer the questions. a) Use the graph to write the symbolic form of the system of linear inequalities. b) Is (-4,2) a solution to the system? Explain. 5 -7 -5 -3 -2 0 2 3 4 $ 6 -2 -6 -7

) Graph the feasible region subject to the following constraints. x + y ≤ 6 y ≤ 2x x ≥ 0, y ≥ 0 P + x

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Problem 2: In the slider-crank mechanism shown, r = 3 in and L = 8 in. If the crank AB rotates with a constant angular velocity of 750 rpm clockwise, determine the velocity and acceleration of the piston P and the angular velocity and angular acceleration of the coupler BD when 0 = 40°. B 40° B D P

Problem 1: In a 4-bar mechanism shown, the link AB has an angular velocity of 10 rad/s and an angular acceleration of 2 rad/s² (both clockwise), determine the angular velocity and angular acceleration of: (a) link BD, (b) link DE. Bonus: Develop a MATLAB program to solve for this problem. B J 0 A 20 Unit: cm D 7.5 10 E

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The following is a list of data on the duration of a sample of 200 outbreaks, in hours. 107 73 68 97 76 79 94 59 98 57 54 65 71 70 84 88 62 82 61 79 98 66 62 79 86 68 74 61 62 116 65 88 64 79 78 74 92 75 5289 85 28 73 80 68 78 89 72 78 88 77 103 88 63 68 90 62 89 71 71 74 222 R 82 79 70 ST☑ 65 98 77 86 58 69 88 81 74 70 65 81 75 81 78 90 78 96 75 KRRE F S 62 94 62 79 83 93 135 71 85 84 83 63 61 65 83 70 70 81 77 72 84 33 62 92 65 67 59 58 66 66 94 77 63 71 101 78 43 78 66 75 68 76 59 67 61 71 64 76 72 77 74 65 82 86 66 86 68 85 27% 96 72 77 60 67 87 83 68 72 74 91 76 83 งงง 8 སྐྱ ཐྭ ༄ ཏྱཾ 89 81 71 85 99 59 92 87 84 75 77 51 45 80 84 93 69 76 89 75 67 92 89 82 96 77 102 66 68 61 73 72 76 73 77 79 94 63 59 62 71 81 65 73 63 63 89 82 64 85 92 64 73 a. What is the variable? What type? b. Construct an interval-frequency table, with columns containing: class mark, absolute frequency, relative frequency, cumulative frequency, cumulative relative frequency, and percentage frequency.

This is the information about the actors who won the Best Actor Oscar: Best actors 44 41 62 52 41 34 34 52 41 37 38 34 32 40 43 56 41 39 49 57 35 30 39 41 44 41 38 42 52 51 49 35 47 31 47 37 57 42 45 42 44 62 43 42 48 49 56 38 60 30 40 42 36 76 39 53 45 36 62 43 51 32 42 54 52 37 38 32 45 60 46 40 36 47 29 43 a. What is the variable? What type? b. Construct an interval-frequency table, with columns containing: class mark, absolute frequency, relative frequency, cumulative frequency, cumulative relative frequency, and percentage frequency.