AB4: Find t00.2 d²W dt² W (t) 4 dW Consider the differential equation = 9 - W². Let y = W(t) be the particular solution to the dt differential equation with the initial condition W(0) = 4. The function W is twice differentiable with selected values of W given in the table above. in terms of W. 0.4 0.5 0.6 0.8 1.0 5.7 9.3 12.2 16.3 29.3 53.2 AB5: Use a midpoint Riemann sum with the three subintervals indicated by the table above to approximate So W(t)dt.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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AB#5

5 for 5: Calculus AB Day 4
ff'(x)
1
t
-2 -1 0
1 2 3 4
6 7 8
-1
The function f is differentiable on the interval [−2, 12] and consists of three line segments as shown in
the figure above. It is known that f(4) = 14
AB2: Let g(x) = f(x)f'(x). Find g'(4).
AB3: Evaluate
AB1: On what open intervals is the graph of f both decreasing and concave down? Give a reason for
your answer.
AB4: Find
12
[₁³² [3 - 2f'(x)] dx.
-2
-3
d²W
dt²
t
W (t)
in terms of W.
10 11
0
4.
12 13
0.2 0.4 0.5 0.6
dW
Consider the differential equation = 9 - W². Let y = W(t) be the particular solution to the
dt
differential equation with the initial condition W(0) = 4. The function W is twice differentiable with
selected values of W given in the table above.
0.8 1.0
5.7 9.3 12.2 16.3 29.3 53.2
AB5: Use a midpoint Riemann sum with the three subintervals indicated by the table above to approximate
S W(t)dt.
Transcribed Image Text:5 for 5: Calculus AB Day 4 ff'(x) 1 t -2 -1 0 1 2 3 4 6 7 8 -1 The function f is differentiable on the interval [−2, 12] and consists of three line segments as shown in the figure above. It is known that f(4) = 14 AB2: Let g(x) = f(x)f'(x). Find g'(4). AB3: Evaluate AB1: On what open intervals is the graph of f both decreasing and concave down? Give a reason for your answer. AB4: Find 12 [₁³² [3 - 2f'(x)] dx. -2 -3 d²W dt² t W (t) in terms of W. 10 11 0 4. 12 13 0.2 0.4 0.5 0.6 dW Consider the differential equation = 9 - W². Let y = W(t) be the particular solution to the dt differential equation with the initial condition W(0) = 4. The function W is twice differentiable with selected values of W given in the table above. 0.8 1.0 5.7 9.3 12.2 16.3 29.3 53.2 AB5: Use a midpoint Riemann sum with the three subintervals indicated by the table above to approximate S W(t)dt.
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