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Question 1
Given f(x) = 2/x2 + 5x + 1 and g(x) = 3x - 7, Find the following:
a. (g + f)(4)
b. (g/f)(-3)
Question 2:
Which of the following are factors of - x3 - 5x2 - 3x + 9
a. (x - 1) b. (x - 3) c. (x + 1) d. (x + 3)
Please show all relevant working.
Question 3:
Suppose the total sales of a company are given by s(x) = 250x + 8000, where x is measured in years and x = 0 corresponds to the year 2005.
i. Find the total sales when x = 0.
ii. Find the total sales when x = 3.
iii. Find the predicted total sales in 2017, assuming that the trend continues.
At university , all first-year students must take chemistry and math. Suppose 15% fail chemistry, 12% fail math, and 5% fail both. Suppose a first-year student is selected at random. What is the probability that student selected failed at least on..
A plumber's daily earnings have a mean of $145 per day with a standard deviation of $16.5. If the daily earnings follow a normal distribution, what is the probability that the plumber earns between $135 and $175 on any given day?
A jewelry supplier has a supply of earrings which are 40% platinum. A store owner orders five sets of earrings from the supplier. If the supplier selects the pairs of earrings at random, what is the chance that the jewelry store gets exactly two s..
Use the definition of the derivative to find the derivative of the following function.
an elementary school teacher is attempting to line up 6 boys in size places. she success in placing the shortest boy
question 1for 3x2 - ex 0 evaluate a function g and an interval a b on which fixed-point iteration will converge to a
A certain bacteria population is known to doubles every 90 minutes. Suppose that there are initially 80 bacteria.
A formula is derived for the n-th derivative of a function that is a product of two other functions, f(x)=u(x).v(x). This formula is used to write down the n-th derivative of f(x) = e^x/(1 − x).
A plane is heading due south and climbing at the rate of 90 km/hr. If its airspeed is 470 km/hr and there is a wind blowing 110 km/hr to the northwest, what is the ground speed of the plane?
Important information about Mathematics - Poisson Distribution, Metal plates are inspected regularly for flaws and average 2 flaws per square yard. Assume a Poisson process is applicable and calculate the probability of getting
There are 45 participants in the triathlon. The first three finishers will receive prizes. How many ways can the three prizes be given?
brooklyn corporation manufactures cds. the machine that is used to make these cds is known to produce 6 defective cds.
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