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196 Review Exercises for Chopters 4 & s will neither (d) The Exercise R.67, What is the probability of getting four diamonds in four random draws from an ordinary deck of playing cards (a) if each card is replaced before the next one is drawn; (b) if no cards are replaced before the next is drawn? R.69 R.70 Following are the probabilities that, in a given city, 0 through 5 burglaries will be reported on any given day. Number of...
Risk
Age
Blood Pressure
Smoker
10
59
220
1
33
67
129
0
14
68
170
0
59
63
198
0
30
65
173
0
52
74
172
1
9
77
159
0
28
73
173
0
32
68
117
1
20
80
209
1
40
62
176
1
41
82
110
0
25
67
151
1
56
55
191
0
36
61
208
1
32
61
112
1
26
78
125
0
28
75
129
0
18
90
184...
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2)
Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and circles and by subtracting the areas below the x-axis. y 4-x-101 4 3 2 1-x-11 7 10 11 12 13 14" -1 -21 -x+8x- x-12 257 8 + 17 X Use the average of the left-endpoint (L) and right-endpoint (R) approximations to compute the integrals of the piecewise linear functions with graphs that pass through the given list of points over the...
Plane Curves Find T, N, and K for the plane curves in Exercises 1-4 1,/r(t) ti (In cos j, /2 <t< T/2
81 59 Problem 4 (10 marks) The number of calls received per week by the clients services of a cell phone company over the last 40 weeks are given as follows: 63 74 42 65 51 54 36 56 68 57 62 64 76 67 79 61 77 38 84 68 71 94 71 86 69 75 91 55 48 82 83 54 79 62 68 58 41 47 a) Prepare a frequency distribution (table) and histogram for the data....
No 3
putin uhd e integral lound a r the val- 0 VIIl, 81. EXERCISES Compute the curve integrals of the vector field over the indicated curves. (x,y)=(x2-2xy,y2-2xy) along the, parabola y=x2 from (-2,4) to 2. 0x, y, xz - y) over the line segment from (0,0, 0) to (1, 2, 4), 3, Let r (x2 y2)1/2 Let F(X)-X. Find the integral of F over the circle of radius 2, taken in counterclock wise direction. 4. Let C be a...
Boats (tens of
thousands) Manatees
66 55
65 38
69 34
67 49
74 42
75 59
78 53
84 69
81 82
87 79
90 81
94 93
92 74
98 67
99 78
102 91
100 73
98 91
97 97
93 82
88 89
87 80
90 71
92 68
idrresponding numbe o ms for 880.000 registered Use the accompanying paired data consisting of registered boats (tens of thousands) and manatee fatalities from boat encounters. Let x...
2. Find the intervals on which the following function is continuous. tan r B( ) = V4-12 3. Find the derivatives of the following functions (a) f(z)= /5x +1 (b) gla) = (2r -3)(a2 +2) (c) y = In (x + Vx2 - 1) 4. Find the intervals on which the following function is decreasing. f(z) = 36x +3r2 - 2r 5. Evaluate the following integrals. r dr (a) sec2 tan (b) dar 3 (c) da 5x+1 1. Sketch the...
Please show all steps &
work, thanks!
1. Use the given graph of y = f(x) to evaluate the following definite integrals, y = f(x) --4 a. -3 --2 L. f(a) de 5. Lflz) di « ["ra) de 1. (536) di 1 -3 -1 2 3 4 -1 -2 -3
The production function of a firm is given by F(K,L) = K^1/3L^1/4. The price of the good is p, the wage is given by w and rental rate of capital is r. Set up the firms profit function and solve the firms profit maximization problem.