Answer:
(a) -dA/dt = kA², A₀ = 10
(b) A =10/(1+ kt)
(c) t > 60 h
Step-by-step explanation:
(a) Find the IVP
A differential equation with an initial condition y₀ = f(x₀) is called an initial value problem.
The rate of decrease of A is proportional to A², and A₀ = 10, so the IVP is
-dA/dt = kA², A₀ = 10
(b) Solve the IVP
Apply the initial condition: A₀ = 10 (when t = 0)
(c) Find the time when A(t) < 1
(i) Find the value of k (A₁₀ = 4)
(ii) Find t when A < 1
The figure below shows the graph of A vs t.
Question Completion:
SubID Memory1 Memory2
1 71 78
2 75 75
3 77 82
4 90 91
5 72 90
6 79 81
7 84 75
8 75 86
9 85 92
10 75 77
11 72 92
12 76 87
13 77 93
14 90 94
15 84 78
16 73 92
17 75 85
18 87 86
19 75 95
20 70 94
21 72 75
22 90 84
23 81 94
24 87 82
25 90 82
26 87 79
27 78 94
28 78 79
29 70 82
30 81 80
31 80 78
32 90 87
33 83 90
34 81 85
35 73 88
36 82 82
37 84 94
38 85 86
39 77 94
40 82 83
Answer:
Since the mean of Memory1 (reciting method) (79.8) is smaller than the mean of Memory2 (imagery method) (85.5), we can conclude that there is a significant difference in memory performance between the reciting method and the imagery method.
Step-by-step explanation:
a) Data and Calculations:
SubID Memory1 Memory2
1 71 78
2 75 75
3 77 82
4 90 91
5 72 90
6 79 81
7 84 75
8 75 86
9 85 92
10 75 77
11 72 92
12 76 87
13 77 93
14 90 94
15 84 78
16 73 92
17 75 85
18 87 86
19 75 95
20 70 94
21 72 75
22 90 84
23 81 94
24 87 82
25 90 82
26 87 79
27 78 94
28 78 79
29 70 82
30 81 80
31 80 78
32 90 87
33 83 90
34 81 85
35 73 88
36 82 82
37 84 94
38 85 86
39 77 94
40 82 83
Total 3,193 3,421
Mean 79.8 85.5
Difference in means = 5.7 (85.5 - 79.8)
Answer: 84 over 25 is 3.36 as your answer
Answer:
46.98
Step-by-step explanation:
Multiply the total without taxes by the taxes sales rate:
43.50 x 1.08
=46.98
X= 10
This is because 180-95= 85 which would make 8x+5= 85
Subtract 5 from both sides and get 8x=80
Then, divide 8 from both sides and get x=10
