For Exercises 69-70, refer to Figure 8-1 and the narrative at the beginning of this section. Suppose that the price p in $ of theater tickets is influenced by the number of tickets x offered by the theater and demanded by consumers. Supply: p = 0.025 x Demand: p = − 0.04 x + 104 a. Solve the system of equations defined by the supply and demand models. b. What is the equilibrium price? c. What is the equilibrium quantity?
For Exercises 69-70, refer to Figure 8-1 and the narrative at the beginning of this section. Suppose that the price p in $ of theater tickets is influenced by the number of tickets x offered by the theater and demanded by consumers. Supply: p = 0.025 x Demand: p = − 0.04 x + 104 a. Solve the system of equations defined by the supply and demand models. b. What is the equilibrium price? c. What is the equilibrium quantity?
Solution Summary: The author calculates the solution of the system of equations defined by the supply and demand models.
Is the function f(x) continuous at x = 1?
(x)
7
6
5
4
3
2
1
0
-10 -9
-8 -7
-6
-5
-4
-3
-2
-1 0
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-71
Select the correct answer below:
The function f(x) is continuous at x = 1.
The right limit does not equal the left limit. Therefore, the function is not continuous.
The function f(x) is discontinuous at x = 1.
We cannot tell if the function is continuous or discontinuous.
Question
Is the function f(x) shown in the graph below continuous at x = -5?
f(z)
7
6
5
4
2
1
0
-10
-6 -5
-4
1
0
2
3
5
7
10
-1
-2
-3
-4
-5
Select the correct answer below:
The function f(x) is continuous.
The right limit exists. Therefore, the function is continuous.
The left limit exists. Therefore, the function is continuous.
The function f(x) is discontinuous.
We cannot tell if the function is continuous or discontinuous.
The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at x = -1.
654
-2-
-7-6-5-4-
2-1
1 2
5 6 7
02.
Select all that apply:
☐ f(x) is not continuous at x = -1 because f(-1) is not defined.
☐ f(x) is not continuous at x = −1 because lim f(x) does not exist.
x-1
☐ f(x) is not continuous at x = −1 because lim ƒ(x) ‡ ƒ(−1).
☐ f(x) is continuous at x = -1
J-←台
University Calculus: Early Transcendentals (4th Edition)
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