Find the equation of the hyperbola satisfying the given conditions.Vertices at (0, 8) and (0, -8); asymptotes y = 
x and y = - 
x
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Answer: C
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Solve the problem by integration.Find the length of the curve y = ln sin x from x = 
to x = 
.
A. ln 
B. ln 
C. ln 
D. ln 
Evaluate the double integral.
A. 20? B. 11? C. 21? D. 10?
Identify a method whereby a random sample can be selected from the population.The Village Church of Lake Heights wants to find out what percentage of senior citizens over 65 are satisfied with the services of the church. There are 512 registered senior citizens in the church and the Church want to select 40 of these senior citizens at random. Those in the sample will be asked how they feel about the church services.
A. Obtain an alphabetical listing of the senior citizens that have not attended services in the last 6 months. Assign each person a number. Use a random number generator to obtain 40 random numbers within the range of these numbers and use these numbers to identify the senior citizens to be included in the sample. B. Obtain an alphabetical listing of the senior citizens and assign each person a number between 1 and 512. Use a random number generator to obtain 40 random numbers between 1 and 512 and use these numbers to identify the senior citizens to be included in the sample. C. Choose every 10th senior citizen leaving the next church service until a sample of 40 is obtained.
Solve the equation.- 
x + 4 = 
A. 24 B. 0 C. -24 D. 56