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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).
Fill in the upper bound of the 99% confidence interval for an estimate for the percentage of adults who use Internet.
The relationship between the numbers of calculators x a company sells per day and the price of each calculator p i given by the equation x = 1300-100p. At what price should the calculators be sold if the daily revenue is to be $4,000?
A manufacturer of small glass figurines discovers that it costs $ 2600 for a production run of 1900 and $ 3000 for a production run of 2400 . Assuming that cost is a linear function of the number of items, find the overhead and the marginal cost o..
s to have an area of 230 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
a cashier has a total of 123 bills made up of fives and tens. The total value of the money is $725. how many ten-dollar bills does the cashier have?
a car is travelling on a straight road with velocity 55 ft/sec at time t=0. for 0
Musical styles other than rock and pop are becoming more popular. A survey of college students finds that 50% like country music, 30% like gospel music, and 15% like both.
Bob, driving a new Ford, travels 330 miles in the same amount of time it takes John, driving an old Chevy and traveling 10 miles per hour faster, to travel 390 miles. How fast is John driving?
a moving truck rental company has a total of 24 trucks in its lot. The trucks are either 4-wheelers or 18-wheelers. How many of each kind of truck does the company have if the total number of wheels is 138?
solve this equation numerically numerical methods by explicit or implicit methods or crank niclson method..find the
Find a vector function that parametrizes the intersection of the paraboloid z = x2 + y2 and the plane z = 2y
a number has 3 digits. it is an even square number less than 500.the product of its digits is evenly divisible by 15. what is the number?
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