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Mathematics
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Applied Calculus
Quiz 2: Functions, Limits and the Derivative
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Question 261
Short Answer
Use the vertical-line test to determine whether the graph represents y as a function of x.Answer yes or no.
Question 262
Matching
Match each function
with the corresponding functions f and g. Choose the correct letter for each question.
Premises:
Responses:
Premises:
Responses:
Question 263
Short Answer
Determine whether the point (- 6, - 12) lies on the graph of the function.Answer yes or no.
Question 264
Essay
The following graph shows the ratio of bachelor's degrees earned by women to men from 1960 through 1990.
How fast was the ratio changing in the period from 1960 to 1980? __________ From 1980 to 1990? __________
Question 265
Essay
The circumference of a circle is given by
where r is the radius of the circle.What is the circumference of a circle with a 6-in.radius?
Question 266
Essay
In a certain state, the sales tax T on the amount of taxable goods is 12% of the value of the goods purchased (x), where both T and x are measured in dollars.Express T as a function of x.
Question 267
Essay
A study prepared for a Sunbelt town's Chamber of Commerce projected that the population of the town in the next 5 yr will grow according to the rule
where P(x) denotes the population x mo from now. By how much will the population increase during the next 4 mo? __________ During the next 16 mo? __________
Question 268
Essay
Ace Truck leases its 10-ft box truck at $35/day and $0.45/mi, whereas Acme Truck leases a similar truck at $30/day and $0.50/mi.Find the daily cost of leasing from each company as a function of x number of miles driven.