From 1989 to 2008, the number B of federally insured banks could be approximated by B(t) %3D 327.2t + 13789 where t is the year and t=0 corresponds to 1989. How many federally insured banks were there in 19947 Find the slope of the graph of B. Interpret this slope as a rate of change. Choose the correct answer below. O The number of banks decreased by 13789 banks per year O The number of banks decreased by 327.2 banks per year O The number of banks increased by 327.2 banks per year O The number of banks decreased by 12153 banks per year O The number of banks increased by 12153 banks per year The number of banks increased by 13789 banks per year Find the y-intercept of the graph of B. The y-intercept is Interpret the y-intercept. Choose the correct answer below. O The y-intercept is the maximum number of banks allowed in the country O The y-intercept is the number of banks in 2008 O The y-intercept is the number of banks in 1989 O The y-intercept is the minimum number of banks allowed in the country O The y-intercept is the number of banks in 1994
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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