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(Intersection) Express R ∩ S in terms of differences. 7.
(Closure) Let R be a relation and let X = {A1, A2, ... , Ak } be a subset of the attributes of R. Define X+, the closure of X, as the smallest set X+ such that X+ ⊃ X and X+ → B implies B ∈ X+.
(a) Find the closure of the set {Instructor, Grade} in School.
(b) Show that X is a super key if and only if X+ is the set of all attributes of R. Hint! For "if " construct X+ step by step.
The supply curve for Florida is P = (1/3)Q. The supply curve for Oregon is P = 3 + (1/3)Q. What values of P and Q solve both these equations?
A solution of 52% pesticide is to be mixed with a solution of 27% pesticide to form 200 liters of a 40% solution. How many liters of the 52% solution must be used?
Find the work needed to pump all of the water out through the top of the tank. Use the fact that the density of water is 1000 kg/m3.
Find the monthly interest payment in the situation described below. Assume that the monthly interest rate is 1/12 of the annual interest rate. You maintain an average balance of $600 on your credit card, which carries a 15% annual interest rate.
Determine the p-value for testing
State the null and alternative hypothesis and test the claim
The cost of producing x units of a product is given by C(x)=600 + 120 x - 120 ln(x), Find the minimum average cost.
A total of $8,500 was invested in three interest earning accounts. The interest rates were 2%, 3%, and 6%. If the total simple interest for one year was $380 and the amount invested at 6% was equal to the sum of the amounts in the other two accoun..
A 150kg horizontal beam is supported at each end. A 380-kg piano rests a quarter of the way from one end. What is the vertical force on each of the supports?
The rabbit population in a forest area grows at the rate of 6% monthly. If there are 160 rabbits in April, find how many rabbits
Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations?
Assume you are in the 35 percent tax bracket and purchase a 5.25 percent municipal bond. Use the formula presented in this chapter to calculate the taxable equivalent yield for this invetment
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