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MATH 16A WORKSHEET 3-
(1) Suppose f and g are functions that satisfy limx→3 f(x) = 3 and limx→3 g(x) = 7. Compute the following:
(a) limx→3(f(x)/f(x)+g(x))
(b) limx→3√( (f(x))2 + 1)
(c) limx→3(f(x) + g(x))3
(d) limx→3 0
(2) Compute the limit limx→-1(x2+x/x2-1).
(3) Find a counterexample to the following statement: "We have
(limx→4f(x)) + (limx→5f(x)) = limx→9f(x), for any function f(x)."
(4) Let f(x) be the function defined as follows:
Draw a graph of f(x). Then compute lim x→0f(x) and lim x→1f(x).
Suppose you wish to build a spa on a wood deck. The deck is to be built 4 ft above level ground. It is to be 50 ft by 30 ft and is to contain a spa that is circular with a 14-ft diameter. The spa is 4 ft deep.
Two trains leave stations 408 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet.
An equilateral triangle has each side 4x units long. Find its area both by the standard formula, A=(1/2)bh and by Heron's Formula and verify the results are equal.
A bag contains 10 red, 12 green, and 8 yellow marbles. Assuming that all marbles are equally likely to be picked from the bag
What are some of the services provided by the Center for Mathematics Excellence? Which service do you think will be the most useful throughout your college experience?
Run a multiple linear regression of your selecting & interpret.
The sum of the page numbers on the facing pages of a book is 381. Find the larger page number.
Describe the steps you would take to redesign a study that had a very large standard error.
Maximize f = 2x + 6y subject tox + y ≤ 72x + y ≤ 12x + 3y ≤ 15
A pollster wishes to know the percentage p of people in a population who intend to vote for a particular candidate. How large must a random sample with replacement be in order to be at least 95 % sure that the sample percentage is within one perce..
Juan is shopping for a new CD player. He finds one he likes for $225. The sales tax is 7.5%. What will be the total cost of the CD player?
Determine the total amount the Bells will pay for their house and how much of the cost will be interest
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