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The marginal revenue derived from producing q units of a certain commodity is R'(q) = 4q - 1.2q^2 dollars per unit. If the revenue derived from producing 20 units is $30,000 how much revenue should be expected from producing 40 units?
You have 600 yards of fencing to build a rectanglular fence. You use a long straight wall to form one side to save fencing. What is the maximum possible area that can be enclosed?
You are told that a line is tangent to the circle centred at (3,2) with radius 2. If the tangent line and circle intersect at the point (4, 2+ sqrt(3)) find the equation of the tangent.
If x is an element of a group and x is of order n then the elements 1, x, x^2,...x^n-1 are distinct (don't know how to show this!). Let Y= Y here is a group show
Linear Combinations, Basis and Transformations, 1. Given a basis B = { u1 = [1, 2], u2 = [2, 1] } for R^2, express u = [7, -2] as a linear combination of u1 and u2. How many ways can you do this?
Explain all the different factors that might cause a confidence interval for μy/x0 to increase in width. [There are five. Look at the formula for the confidence interval, but please EXPLAIN THE FACTORS THAT COULD MAKE THE INTERVAL WIDER IN PLAIN ENGL..
A manufacturer of window frames know from long experience that 5 percent of the production will have some type of minor defect tht will require an adjustment. What is the probability that in a sample of 20 window frames
A football is thrown downward from a window in a tall building. Its position at time t in seconds is s=16t^2+32t, where s is in feet. How long to the nearest tenth will it take the ball to fall 175 feet?
Calculate the value of the test statistic.
A representative is to be selected from each of 3 departments in a small college. There are 7 people in the first department, 5 in the second department, and 4 in the third department.
Illustrate each of them with examples. Determine whether the following vectors in R3(R) are linearly dependent or linearly independent.
Why would we want to do this? Why not just use Newton's Interpolatory Divided Difference formula to get an nth degree interpolating polynomial? Write down the conditions required for the spline S(x) to fit the data and have 6 continuous derivative..
Draw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry.
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