what is the meaning of order
if y=x is to the order of 1
then what is the order for y=sin x
ANSWER: is that also the order of one please explain.
order refers to the highest degree of a polynmial
y=x is order 1, because y=x1 is degree one.
Because sin x is not a polynomial, it does not have degree or order.
WOW THAT WAS THE MOST CLEAREST EXPLANATION THANK YOU!!
In mathematics, the term "order" typically refers to the rate at which a function or a mathematical expression grows as its input (usually denoted by "x") gets larger. The order of a function helps us understand its behavior and how it scales with increasing values of x.
In the equation y = x, where y is equal to x, we say that this equation is of the "order 1" because the function grows linearly. This means that as x increases, y increases at the same rate.
Now, let's consider the equation y = sin(x). The order of this equation is not as straightforward as in the previous example. The sine function is a periodic function that oscillates between -1 and 1 as x varies. It does not exhibit a consistent rate of growth as x becomes larger.
Hence, we typically don't assign an order to periodic functions like sine. Instead, we use different terms to describe their behavior, such as "periodic" or "oscillating".
Therefore, there is no exact order assigned to y = sin(x). It is more appropriate to describe it as a periodic function.