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Question: 1. (a) Sketch the bounded region inside the lemniscate r2 = 4 cos 2θ and outside the circle r = √2.
(b) Compute the area of the region described in part (a)
2. For what values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, are the tangent lines horizontal? Vertical?
Define three equivalence relations on the set of students in your discrete mathematics class different from the relations discussed in the text. Determine the equivalence classes for each of these equivalence relations.
Calculate the percentage of students who score less than 700
CD's are packaged up in boxes of 88. Every 26 boxes are loaded onto 1 crate. 1.How many crates would be needed if you had 290000 CD's to pack?
What is the optimal decision? Ken believes that the $300,000 figure for the Sub 100 with a favorable market is too high. How much lower would this figure have to be for Ken to change his decision made in part (b)?
A farmer has 1900 feet of fencing available to enclose a rectangular area bordering a river. If no fencing is requiredalong the river, find the demensions of the fence that will maximize the area. What is the maximum area?
There are more functions from the real numbers to the real numbers than most of us can imagine. However in discrete mathematics we often work with functions.
Using the definition of the derivative, find the slope of the tangent line to the curve at the point (5, f(-5)). Write the equation of the tangent line to the curve at the point (5, f(-5)).
Kasey was hungry so she chose 5 crickets to eat. She weighed them in pairs. The weights were 11,11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.8, 12, 12.1. How much does each cricket weigh.
A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb: Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
Prove that if a series of complex numbers sum (c_n) converges to s, then sum (c_n) is Cesaro summable to s.
create a set representing a real-life group of things and write it in roster notation. the members of the set can be
For the quadratic formula problem, be sure that you use readable notation while you are working the computational steps. Refer to the Inserting Math Symbols handout for guidance with formatting.
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