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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.
the length of a rectangle is two yards longer than triple the width the perimeter is 484 yards. what are the dimensions?
The largest set on which the functionf(x,y)=1/(16-x2-y2)is continuous is?A. The interior of the circle x2+y2=16 B. The exterior of the circle x2+y2=16
If parabolic opening touches the ground right at the edges of the waterway and the maximum height of the opening is 60ft, what is the maximum height that a 20-foot wide boat could be and still pass through the opening?
Find the minimum number of days between the day and find the length of the chord that cuts off arc of length 5 1/2 in a circle of diameter 33.
Find the mean, median, and range for each of the two data sets.
A recepie for muffin mix calls for 8 cups of flour ,2 2/3 of cups of oatmeal ,and 4 tablespoons of baking powder along with other ingridients .If you had only 3 cups of flour , what would be the comparable amounts of oatmeal and baking powder.
Solve the two first order ODEs below for three time steps using h = 0.2 and RK 2. x'1=x2; x1(0)=.5 x2'=-x1-2x2 + e^-t ; x2(0)=0
In your own line of work, give one example of a discrete and one example of a continuous random variable, and describe why each is continuous or discrete.
Find the characteristic equation for the matrix below and determine its eigenvalues and the corresponding eigenvalues.
three tennis balls are tightly packed one of top of each other in a cylindrical can. what fraction of the volume of the can is occupied by the tennis balls?
Specifications for the computer upgrades are 78 minutes and 81 minutes. Estimate the percentage of process output that can be expected to fall within the specifications. (Round your answer to 1 decimal place. Omit the "%" sign in your response.)
Evaluate the exponential equation y=-3^x for three positive values of x, three negative values of x, and at x=0. Use the resulting ordered pairs to plot the graph. State the equation of the line asymptotic to the graph (if any).
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