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Letting be the quantity of output produced (to be chosen), () be sales revenue with a positive first derivative and with a zero value at zero output, () be production costs with a positive first derivative and with a non-negative value at zero output, and be the positive minimal acceptable level of profit, then the problem is a meaningful one ...
Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3] [4]
Graphs of probabilities of getting the best candidate (red circles) from n applications, and k/n (blue crosses) where k is the sample size. The secretary problem demonstrates a scenario involving optimal stopping theory [1] [2] that is studied extensively in the fields of applied probability, statistics, and decision theory.
Microsoft Math contains features that are designed to assist in solving mathematics, science, and tech-related problems, as well as to educate the user. The application features such tools as a graphing calculator and a unit converter. It also includes a triangle solver and an equation solver that provides step-by-step solutions to each problem.
f k (2 k a + b) = 3 c(b, k) a + d(b, k). The values of c (or better 3 c ) and d can be precalculated for all possible k -bit numbers b , where d ( b , k ) is the result of applying the f function k times to b , and c ( b , k ) is the number of odd numbers encountered on the way. [ 30 ]
From this plot, − Δ r H / R is the slope, and Δ r S / R is the intercept of the linear fit. By measuring the equilibrium constant , K eq , at different temperatures, the Van 't Hoff plot can be used to assess a reaction when temperature changes.
In number theory, Waring's problem asks whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers raised to the power k. For example, every natural number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers.
Boundary value problems are similar to initial value problems.A boundary value problem has conditions specified at the extremes ("boundaries") of the independent variable in the equation whereas an initial value problem has all of the conditions specified at the same value of the independent variable (and that value is at the lower boundary of the domain, thus the term "initial" value).