d) Find the values. i) V(5) = ii) V(10) = %3D e) Find a formula for V'(t) valid for t in the interval [5, 7].

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1d. 1e. 1f. 

d) Find the values.
V(5)
ii)
V(10)
e)
Find a formula for V'(t) valid for t in the interval [5, 7].
In [5, 7], V'(t)
f)
Find a formula for V(t) valid for t in the interval [5, 7].
Transcribed Image Text:d) Find the values. V(5) ii) V(10) e) Find a formula for V'(t) valid for t in the interval [5, 7]. In [5, 7], V'(t) f) Find a formula for V(t) valid for t in the interval [5, 7].
1) Suppose that V(t) is the volume (in liters) of water in a tank at time t > 0, with t in minutes. The graph of V' (the derivative
of V) is given in the figure below. At time t = 0, water starts flowing into the tank, which initially contained 5 liters.
y = V'(t)
4
3
2
1
1
3
4
6.
7
8.
9.
10
We approximate the area under the graph of y = f(x), above the x-axis, over the interval [0, 4] by using n = 4 rectangles and
left-hand endnoints.
Transcribed Image Text:1) Suppose that V(t) is the volume (in liters) of water in a tank at time t > 0, with t in minutes. The graph of V' (the derivative of V) is given in the figure below. At time t = 0, water starts flowing into the tank, which initially contained 5 liters. y = V'(t) 4 3 2 1 1 3 4 6. 7 8. 9. 10 We approximate the area under the graph of y = f(x), above the x-axis, over the interval [0, 4] by using n = 4 rectangles and left-hand endnoints.
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