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Give functions f(x) and g(x) with the following properties;
(i) lim f(x)=0 (ii) lim g(x)=0 (iii) lim (f(x) / g(x)) = 5
x-->3 x-->3 x-->3
estimate the percentage errors in the adjacent side and hypotenuse
A group of friends decided to rent a vacation home for a week. They each paid $70 towards the rent. If three more friends had joined them, the cost per person would have been reduced by $14. How many friends went on the trip?
Compute the number of calenders that should be ordered. The J&B Card Shop sells calendars depicting a different Colonial scene each month. The once-a-year order for each year's calendar arrives in September.
show that the number of different triples that can be chosen from N items is precisely N(N-1)(N-2)/6..(use mathematical induction)
Pick two data points predicted by the research model a(t) to construct a new exponential model b(t) for the number of cumulative AIDS cases. Discuss how the two models differ and explain the use of the word "relief".
How does a partial derivative differ from an ordinary derivative? When should we use partial derivatives and when should we use ordinary derivatives?
Compute the general solutions of the following ordinary differential equation
a certain type of light bulb has a life time can be represented by a normal distribution with a mean of 500 hours and a standard deviation of 100 hours
a new process for producing synthetic diamonds can be operated at a profitable level only if the average weight of the
If Evergreen Fertilizer Company in Problem 4 changes the price of its fertilizer from $0.40 per pound to $0.60 per pound, what effect will the change have on the break-even volume?
Establish an equation to determine revenue.
When a large shipment of alternators is received at the plant, 100 are tested, if more than two are nonconforming, the shipment is returned to the alternator manufacturer. What is the probability of returning a shipment?
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