Mathematics, Calculus Year 1 Inverse functions Please solve each
... Square root of a function is defined only if the value inside the square root is positive. So the function is defined for positive values of (1-2^t). That is (1-2^t) 0. For this to be greater than 0, 2^t should be less than 1. 2^t is less than 1 only for negative values of t. So the domain of the ...
... Square root of a function is defined only if the value inside the square root is positive. So the function is defined for positive values of (1-2^t). That is (1-2^t) 0. For this to be greater than 0, 2^t should be less than 1. 2^t is less than 1 only for negative values of t. So the domain of the ...
STEP 1 - Sunnyvale ISD
... Analyzing the Graph of a Rational Function STEP 1: Factor the numerator and denominator of R. Find the domain of the rational function. STEP 2: Write R in lowest terms. A hole in the graph exists where the numerator and denominator have common factors. STEP 3: Locate the intercepts of the graph. Whe ...
... Analyzing the Graph of a Rational Function STEP 1: Factor the numerator and denominator of R. Find the domain of the rational function. STEP 2: Write R in lowest terms. A hole in the graph exists where the numerator and denominator have common factors. STEP 3: Locate the intercepts of the graph. Whe ...
as a POWERPOINT
... (a) the cost of producing 5000 barrels of oil (b) the cost of producing 5001 barrels of oil (c) the cost of producing the 5001st barrelof oil (d) C `(5000) = the marginal cost at a production level of 5000 barrels of oil. Interpret. (e) The production level that minimizes the average cost (where A ...
... (a) the cost of producing 5000 barrels of oil (b) the cost of producing 5001 barrels of oil (c) the cost of producing the 5001st barrelof oil (d) C `(5000) = the marginal cost at a production level of 5000 barrels of oil. Interpret. (e) The production level that minimizes the average cost (where A ...
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.