Utility. Utility is a type of function that occurs in economics. When a consumer receives x units of a product, a certain amount of pleasure, or utility U , is gained. The following represents a typical utility function. a. a) Find the average rate of change of U as x change from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4. b. b) Why do you think the average rates of change are decreases?
Utility. Utility is a type of function that occurs in economics. When a consumer receives x units of a product, a certain amount of pleasure, or utility U , is gained. The following represents a typical utility function. a. a) Find the average rate of change of U as x change from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4. b. b) Why do you think the average rates of change are decreases?
Solution Summary: The author calculates the average rate of change of utility U as number of units of product x with the help of provided graph.
Utility. Utility is a type of function that occurs in economics. When a consumer receives x units of a product, a certain amount of pleasure, or utility U, is gained. The following represents a typical utility function.
a. a) Find the average rate of change of U as x change from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4.
b. b) Why do you think the average rates of change are decreases?
2. [-/4 Points]
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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 1 Solutions
Calculus and Its Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Bittinger, Ellenbogen & Surgent, The Calculus and Its Applications Series)
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