y = 4x^2 cosx
http://www.wolframalpha.com/input/?i=4x^2+cosx
The given expression is y = 4x^2 cosx. This is an equation in the form of a mathematical function where y is equal to the product of 4x^2 and cosx. To understand this equation further, let's break it down:
1. y: This is the dependent variable or the output of the function. The value of y depends on the value of x.
2. 4x^2: This is a quadratic term. It means that the value of y will change as x is squared and multiplied by 4.
3. cosx: This is the cosine function of x. It is a trigonometric function that gives the ratio of the adjacent side to the hypotenuse in a right triangle with angle x.
To find the value of y for a given value of x, you need to substitute that value into the equation and perform the necessary calculations.
For example, if you have x = 2, you can find y by substituting this value into the equation:
y = 4(2)^2 cos(2)
y = 4(4) cos(2)
Now, you can calculate the value of y by evaluating the expression:
y = 16 cos(2)
To find the exact value of y, you would need to know the value of cos(2), which can be determined using calculators, mathematical tables, or software programs specialized in trigonometric calculations.
Note: Depending on the context or problem you are trying to solve, you may need to consider the domain and range restrictions, apply limits, or find the zeros of the function, among other mathematical concepts.