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1. You are in the market for oranges. The supply equation (in millions) for oranges is : S(P)= .3p^2 +11P - 40 The demand equation is D(P) = .7p^2 +P - 1
a. How many oranges are demanded at a price of $11.50?
b. Find the equilibrium price and quantity.
2. F(X)= x^2 +2, G(X)= 3(x-3)^2, H(X)= 5/2x-3
Calculate:
a. g(h(r))
b. f(g(5x))
3. Using the definition of a derivative, calculate f'(x) for the following:
a. f(x)=2/x^2
A production process contains a machine that deteriorates rapidly in both quantity and output under heavy usage, so it is inspected at the end of each day. Immediately after inspection the condition of the machine is noted and classified into one ..
If A and B are normal subgroups of G such that G/A and G/B are abelian, prove that G/(A intersect B) is abelian
Find the equation of the line drawn between two points - Write the equation of the line with slop -2 and passing through the point (4, -3).
Find the probability that a randomly selected teacher makes less than USD 40156 a year? Round your final answer as a percent rounded to two decimal places.
Let n be a natural number, and let f: R-->R be the function f(x) :=x^n. Show that f is differentiable on R and f '(x)=nx^n-1 for all x belonging to R
For this module you will design some simple digital circuits based on Boolean expressions. Draw circuits that implement the following Boolean expressions using some combination of AND, OR, NOT, NAND, and NOR gates.
For solving a system of equations, is there a difference between using an algebraic method and using the graphical method? Explain why or why not
Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section? Please show work.
The accompanying table shows the total cost of purchasing combinations of differently priced CDs. The types of CDs are labeled A, B, and C.
Consider a seven-game world series between team A and B, where for each game, what is the most likely number of games to be played in the series for p=0.6?
Use exponential smoothing to find the forecast of shipments
Probability for rolling a pair of dices, You are rolling a pair of dices, one red and one green. What is the probability of the following outcome?
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