I consumer advocate group wants to test whether a fertilizer company's claim thai crow taller with their fertilizer is accurate. They perform the following procedure: Forty coleus plants are grown from clippings of a single plant. At the tart of the scientific procedure all of the plants are approximately the same height wenty of the plants receive the recommended amount of fertilizer with each water emaining twenty plants receive the same amount of water with no fertilizer. All fo tre grown at 25 °C with 10 hours of light daily. The height of each plant is record Eays for 2 months. Which type of study method is described above? Controlled Experiment b. Observational study а.
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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