How many pounds did each American contribute on average to the amount of scrap plastic exported from the USA to poorer nations like Malaysia in 2020? Type your work and answer here: b. What was the percent (%) increase in total scrap plastic exported from the USA between January last year (2020) and January this year (2021)?
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.
According to an article by Hiroko Tabuchi and Michael Corkery, in the New York Times, “Exports of US plastic garbage rise, despite ban.”
When more than 180 nations agreed last year to place strict limits on exports of plastic waste from richer countries to poorer ones, the move was seen as a major victory in the fight against plastic pollution.
[But,] Data for January showed that exports of scrap plastic from the United States edged upward, to 48 million tons from 45 million tons the previous January. Exports to poorer nations were virtually unchanged from a year ago, totaling 25 million tons.
Advocates say that there are clear red flags in the data. Malaysia, which had signed on [to the agreement], remained a major destination for US scrap plastic in January.
a. How many pounds did each American contribute on average to the amount of scrap plastic exported from the USA to poorer nations like Malaysia in 2020?
Type your work and answer here:
b. What was the percent (%) increase in total scrap plastic exported from the USA between January last year (2020) and January this year (2021)?
Type your work and answer here:
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