by definition, the derivative gives the slope of the tangent line. Horizontal lines have a slope of zero. Therefore, when the derivative is zero, the tangent line is horizontal. To find horizontal tangent lines,
Determine the x value of the point on the function where you want the tangent line located. Insert this value into the derivative wherever x occurs. In the example, if you wanted to find the tangent to the function at the point with x = 3, you would write y'(3) = 12(3^2) + 2...
The main difference between the slope of a straight line and the slope of a curve is that the slope of a straight line remains constant while the slope of a curve changes between points. How can we determine what the slope of a curve is if the values are constantly changing? We can do...
Once you ferret out the circle's center point coordinates, you can then determine the circle's radius,r. In the equation, you may not seer2{r}^{2}r2, but a number, the square root of which is the actual radius. With luck, the squaredrvalue will be a whole number, but you can ...
process of resolving the collisions, which might in turn change the entity state and inform the gameplay code, whose needs will determine the kind of information we need to query about the surroundings of an entity, which will then determine what entity and terrain state we need to store, ...
Given the definition of a homogeneous line as ax + by = 0, prove that all homogeneous lines have the same y-axis intercept. Overline WX is parallel to overline VY, find the value of UY. Explain what is a symmetrical box plot? How to determine if a box plot is symmetrical? Explain wh...
Explain how to determine if two equations have the same slope. How is the slope of a linear function related to the number of zeros for the function? What is the slope of a horizontal line? If f (x) is a linear function such that f (4) = 3, with a slope...
Find all north-facing slopes on a mountain as part of a search for the best slopes for ski runs. Calculate the solar illumination for each location in a region as part of a study to determine the diversity of life at each site.
Domain and Range of a Polynomial Thedomain and rangedepends on thedegreeof the polynomial and the sign of theleading coefficient. Use the following flowchart to determine the range and domain for any polynomial function. What is a Symmetric Polynomial?
You may need to determine the y-intercept of a trend line in order to understand more about the data that the trend line is representing. A trend line is a line that is drawn above, below or through various data points in order to show their general dire