Now, your turn! Activity 1. Answer what is asked. 1) Name the elements of the following sets. al A is the set of Southeast Asia nations. Va is the set of months of the vear with 30 days only. c) Cis the set positive odd integers less than 10. 2) Find the cardinality of the following sets: d) D= {planets in the Solar System} e) E = (positive even prime number} ) F= (distinct letters in the word PHILIPPINES} 3) If G = {multiples of 3 between 10 and 28} and H = {multiples of 6 between 5 and 40} g) GUH h) GN H 4) Linda has 6 roses, 5 anthuriums, 9 daisies, and 10 dahlias in her flower vase. If she picks one flower at random, what is the probability that she will pick a i) rose? j) daisy? 5) 10 Prestige has 18 - male and 24- female students. What is the probability of choosing a k) female as the president of this class?
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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