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Discrete Math1. The format of telephone numbers in North America is specified by a numbering plan. A telephone number consists of 10 digits, which are split into a three-digit area code, a three-digit office code, and a four-digit station code. Because of signaling considerations, there are certain restrictions on some of these digits. To specify the allowable format, let X denote a digit that can take any of the value 0 through 9, let N denote a digit that can take any values 2 through 9. In the numbering plan, the formats of the area, office and station codes are: Area code: NXX Office code: NXX Station code: XXXX a) How many different area codes are there?b) How many different office codes are there? c) How many different station codes are there? 2. A student can choose a computer project from one of three lists. The three lists contain 23, 15, and 19 possible projects, respectively. No project is on more than one list. How many possible projects are there to choose from?3. Assume a computer system requires that the length of the passwords is 1, 2, 3, or 4. And the passwords consist of lowercase letters. How many passwords are there? 4. Assume a computer system requires that the length of the passwords is 1, 2, 3, 4, or 5. And the passwords consist of digits (0 to 9). How many passwords are there?
I will be demonstrating how to evaluate and create a two- variable inequality. This means there are two different variables included into an inequality.
The number of tickets sold each day for an upcoming performance of Handelâ??s Messiah is given by N(x)=-0.4^2+12x+10, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will ..
For the following polynomial: 4t + t3 + 7t6 (the 3 is above & to the right of t, and the 6 is above & to right of t)A) The degree of the first term is?The degree of the second term is?The degree of the third term is?
Explain how Euler concludes from 1) that pi^2/6=1+1/4+1/9+1/16 ... . Compare the formula in 2) to Archimedes' calculation for pi. Which of these methods is more efficient and why?
Explain what an inverse function is and how you can determine when an inverse function will exist. What procedure is available to determine if two functions are inverses of each other? Explain its use and give an example.
State the domain of the following and give brief explanation.
Calculating the monthly payment and total interested paid
The set of all permutations over the group formsunder
Computing the maximum or minimum value
Show that if (f_n), (g_n) converges uniformly on the set A to f and g respectively,then (f_n+g_n) converges on A to f+g.
Make a graph for f
The fourth degree Taylor Polynomial for f(x) about x = 3 is: Show that the function has a local maximum at x = 1.
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