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Question: 1. Decide whether or not it is true that (A×B)∪(C×D)=(A∪C)×(B∪D). If true, give a proof. If false, give a counterexample.
2. Show that if A and B are sets, then if A\B = 0, then / B = 0 (unless / A = 0).
3. Suppose R is false but that (P ⇒ Q) ⇔ (R ∧ S) is true. Is P true or false? What about Q?
4. Could we rewrite the conditional ((c > 5 && b == a) || c >= 5) in a simpler way? If so, what is it? (Suggestion: use a truth table.)
The figure below show a telephone wire hanging between two poles at x = - b and x = b. It takes the shape of a catenary with equation y = c + a Find the length of the wire.
A firm produces and sells a product in two separate markets. When the price in market A is p per ton, and the price in market B is q per ton.
Find the linear equation that relates value (V) in dollars to time (t) in years. What would be the value of the equipment after 6 years?
multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that
SALES PROMOTION The Lady Bug, a women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given.
The price of a gallon of unleaded gas has risen to today. Yesterday's price was . Find the percentage increase. Round your answer to the nearest tenth of a percent.
Calculate the exact 95 percent upper and lower confidence limits for the population mean of LOS. Calculate the exact 95 percent upper and lower confidence limits for the population mean of charges
At the end of the year, the total interest from these investments was $940. How much was invested at each rate?
Estimate the instantaneous velocity at t = 15. Include units. Draw and label the line you used to estimate this.
Find the equation of a line through (2,3,7) parallel to the line of intersection of the planes 2x + y + z = 0 and x-y +7z = 0.
What is the domain of this function? Use a graphing device to approximate the dimensions of the plot that requires the least amount of fence.
a flashlight flashes every 2 minutes a second light flashes every 3.5 minutes and a third light flashes every 4
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