Calculus Curriculum Questionnaire for Greece
... vertical, oblique r) Graphs of functions X s) Further applications of X X differentiation, eg., acceleration Other topics or theorems: t) Other consequences of MeanValue Theorem: If f is defined on an interval and X f ( x) 0 for all x in the interval, then f is constant on the interval. u) Study ...
... vertical, oblique r) Graphs of functions X s) Further applications of X X differentiation, eg., acceleration Other topics or theorems: t) Other consequences of MeanValue Theorem: If f is defined on an interval and X f ( x) 0 for all x in the interval, then f is constant on the interval. u) Study ...
7.4 Generating Functions
... length n . In Example 7 of section 7.1 we showed that the sequence {an} satisfies the recurrence relation an = 8an-1 + 10n-1 • And the initial condition a1=9. use generating functions to find an explicit formula for an . ...
... length n . In Example 7 of section 7.1 we showed that the sequence {an} satisfies the recurrence relation an = 8an-1 + 10n-1 • And the initial condition a1=9. use generating functions to find an explicit formula for an . ...
Document
... Agreement on Domain The domain of a relation is assumed to be all real numbers that produce real numbers when substituted for the independent variable. ...
... Agreement on Domain The domain of a relation is assumed to be all real numbers that produce real numbers when substituted for the independent variable. ...
Function of several real variables
In mathematical analysis, and applications in geometry, applied mathematics, engineering, natural sciences, and economics, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being real variables. This concept extends the idea of a function of a real variable to several variables. The ""input"" variables take real values, while the ""output"", also called the ""value of the function"", may be real or complex. However, the study of the complex valued functions may be easily reduced to the study of the real valued functions, by considering the real and imaginary parts of the complex function; therefore, unless explicitly specified, only real valued functions will be considered in this article.The domain of a function of several variables is the subset of ℝn for which the function is defined. As usual, the domain of a function of several real variables is supposed to contain an open subset of ℝn.