A committee is interested in where American adults from different age groups get their news from. There are approximately 210 million adults in the US. 5000 surveys are mailed out to WNY addresses and 1800 of them are completed and returned. The survey asked respondents to select all preferred news sources from a list of options, including Facebook, YouTube, Newspapers, Radio and Television. The committee finds that 1250 respondents indicated they get their news primarily from social media. 1. Which of these is an example of a Population a. The set of 210 million adults in the US b. The set of 5000 surveys mailed out in WNY c. The set of 1800 adults who responded d. 1250 adults get their news from Facebook 2. Which of these is an example of a Statistic a. The set of 210 million adults in the US b. The set of 5000 surveys mailed out in WNY c. The set of 1800 adults who responded d. 1250 adults get their news from Facebook
Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.
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