In Exercises 17-22, sketch the graph of the function f and evaluate lim x → a f ( x ) , if it exists, for the given value of a . 18. f ( x ) = { x − 1 if x ≤ 3 − 2 x + 8 if x > 3 ( a = 3)
In Exercises 17-22, sketch the graph of the function f and evaluate lim x → a f ( x ) , if it exists, for the given value of a . 18. f ( x ) = { x − 1 if x ≤ 3 − 2 x + 8 if x > 3 ( a = 3)
Solution Summary: The author illustrates the graph of a given function and the value of f(x) for a=3.
2. [-/4 Points]
DETAILS
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SESSCALCET2 7.3.002.
Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a = 6 and b = 2.)
ASK YOUR TEACHER
0
y = a sin(bx²)
Sketch a typical approximating shell.
y
6
4
2
x
π/b
y
2
1
x
0.5
1.0
1.5
0.2
0.4
0.6
0.8
1.0
-2
-1
-4
The graph of f', the derivative of f, is shown in the graph below. If f(-9) = -5, what is the value of f(-1)?
y
87 19
6
LO
5
4
3
1
Graph of f'
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2
3
4 5
6
7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
564%
Let f(x)=−7e^xsinxf'(x)=
Chapter 2 Solutions
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