#### Didn’t find what you are looking for? # Recent questions in Advanced Math

Discrete math
ANSWERED ### Find the discrete Fourier approximation $$g_{2}(x)$$ for $$f(x)$$ based on the table information. $$x |-\frac{\pi}{2} | 0 | \frac{\pi}{2} | \pi$$ $$f(x) | 0 | 1 | 3 | -2$$

Upper Level Math
ANSWERED ### Paulie Gone has a shiny red wagon. When he puts his puppy, Hypotenuse, in the wagon, the wagon weighs in at 40 pounds. When Paulie rides the wagon by himself, the wagon weighs in at 64 pounds. Paulie weighs 3 times as much as Hypotenuse, how much does the empty wagon weigh?

Discrete math
ANSWERED ### Find the discrete Fourier approximation $$g_{2}(x)$$ for $$f(x)f(x)$$ based on the table information. $$x | 0 | \pi$$ $$f(x) | 0 | 2$$

Discrete math
ANSWERED ### If s is a string, define its reverse $$s^R$$ as follows. $$\begin{array}{|c|c|}\hline B. & \lambda^R = \lambda \\ \hline R. & \text{If s has one or more symbols, write} \\ & s = ra \\ & \text{where a is a symbol and r is a string (possibly empty). Then} \\ & s^R = (ra)^R = ar^R. \\ \hline \end{array}$$ Compute $$(cubs)^R$$. Justify each step using the definition.

ANSWERED ### Give full and correct answer in how many ways can a set of two positive integers less than 100 be chosen?

Discrete math
ANSWERED ### Consider a Poisson process on $$[0, \infty)$$ with parameter $$\displaystyle\lambda$$ and let T be a random variable independent of the process. Assume T has an exponential distribution with parameter v. Let $$N_{T}$$ denote the number of particles in the interval $$[0, T]$$. Compute the discrete density of $$N_{T}$$.

Upper Level Math
ANSWERED ### In one Tech region the number of students in Math 136 is 20% more than the number of students in Math 123. If there are 480 students in Maths 136, how many students are in Math 123?

Discrete math
ANSWERED ### is this true or false $${6, {a, b, c}, {b, c, 8}} = {6, {a, b, c}, {b, c, 8}, \not{0}}$$

Discrete math
ANSWERED ### Factor $$\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{{3}}}+{\left(-{3}-{2}{i}\right)}{x}^{{{2}}}+{\left(-{3}-{i}\right)}{x}+{\left({2}+{i}\right)}$$ into linear factors if $$\displaystyle{2}+{i}$$ is a zero of the function.

Discrete math
ANSWERED ### The following problem is solved by using factors and multiples and features the strategies of guessing and checking and making an organized list. Problem A factory uses machines to sort cards into piles. On one occasion a machine operator obtained the following curious result. When a box of cards was sorted into 7 equal groups, there were 6 cards left over, when the box of cards was sorted into 5 equal groups, there were 4 left over, and when it was sorted into 3 equal groups, there were 2 left. If the machine cannot sort more than 200 cards at a time, how many cards were in the box?

Discrete math
ANSWERED ### Give an example of a poset which has exactly one maximal element but does not have a greatest element.

Upper Level Math
ANSWERED ### $$\displaystyle{\left({x}^{{4}}{y}^{{5}}\right)}^{{\frac{{1}}{{4}}}}{\left({x}^{{8}}{y}^{{5}}\right)}^{{\frac{{1}}{{5}}}}={x}^{{\frac{{j}}{{5}}}}{y}^{{\frac{{k}}{{4}}}}$$ In the equation above, j and k are constants. If the equation is true for all positive real values of x and y, what is the value of $$j - k$$? A)3 B)4 C)5 D)6

Upper Level Math
ANSWERED ### There is currently a global pandemic and many researchers and scientists are working assiduously to find a vaccine. Assume that Advanced Researcher, a company that is currently testing a few vaccines confirms an 80% chance of effectiveness of one of their vaccines. Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to people in society?

Upper Level Math
ANSWERED ### Find a square number such that when twice its root is added to it or subtracted from it, one obtained other square numbers. In other words, solve a problem of the type. $$\displaystyle{x}^{{2}}+{2}{x}={u}^{{2}}$$ $$\displaystyle{x}^{{2}}-{2}{x}={v}^{{2}}$$

Discrete math
ANSWERED ### Using cardinatility of sets in discrete mathematics the value of N is real numbers Currently using elements of discrete mathematics by Richard Hammack chapter 18 Let A be a collection of sets such that X in A if and only if $$X \supset N\ \text{and} |X| = n$$ for some n in N. Prove that $$|A| = |N|$$.

Upper Level Math
ANSWERED ### Using the Mathematical Induction to prove that: $$\displaystyle{3}^{{{2}{n}}}-{1}$$ is divisible by 4, whenever n is a positive integer.

Discrete math
ANSWERED ### Which of the following are true statements? a:$$2\in\{1,2,3\}$$ b:$$\{2\}\in\{1,2,3\}$$ c:$$2\subset\{1,2,3\}$$ d:$$\{2\}\subset\{1,2,3\}$$ e:$$\{2\}\subset\{\{1\},\{2\}\}$$ f:$$\{2\}\in\{\{1\},\{2\}\}$$

Discrete math
ANSWERED ### prove or disprove the product of two distinct irrational numbers is irrational

Discrete math
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