Question

For the following 4 curves find all points, all possible orders, and an example of each order a. p=19,a=1,b=

ʸ²=ˣ³+x+5(mod 19)

Answer 1

The question asks for the points, possible orders, and an example of each order for the given curves.

Step-by-step explanation:

The question asks for the points, possible orders, and an example of each order for the given curves.

Based on the information provided, it is not clear what the actual curves are, so it is not possible to provide specific points or orders. However, I can explain the general concept.

In mathematics, a curve is a continuous line that represents a function or a set of points. The points on a curve are determined by the equation or equations that define it. The order of a curve refers to the degree of the highest power of the variable(s) in the equation. For example, a curve with an equation of y = x^2 would have an order of 2 because the highest power of x is 2.

Without knowing the actual curves and equations, I cannot provide specific examples of each order. However, I can provide some general examples:

1. A linear curve would have an order of 1, such as y = mx + b, where m and b are constants.
2. A quadratic curve would have an order of 2, such as y = ax^2 + bx + c, where a, b, and c are constants.
3. A cubic curve would have an order of 3, such as y = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.
4. A quartic curve would have an order of 4, such as y = ax^4 + bx^3 + cx^2 + dx + e, where a, b, c, d, and e are constants.