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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 committee consists of 8 married couples. In how many ways can a subcommitee of 5 people be chosen so that at most one married couple
Identify the variables and determine the system of equations. Use the Gauss-Jordan elimination method and solve the system of equations
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Find the p-value associated with the test of hypothesis
Evaluate the integral
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A coin is flipped eight times where each flip comes up with either heads or tails how many possible outcomes?a) contain exactly 3 heads
Find the volume of the solid formed when when the graph of the region bounded by y=e^x, x=0, x=2, and y=0 is revolved about the x-axis.
Automorphism, Abelian Group and GCD, Let G be a finite Abelian group of order n, and let m be a positive integer with gcd(m,n)=1. Prove that φ:G-->G defined by φ
Find the probability that a male resident who was newly diagnosed with AIDS in 1998 contracted it via homosexual contact. Find the probability that a female resident who was newly diagnosed with AIDS in 1998 contracted it via intravenous drug use.
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