Does the graph of the function below have any horizontal tangent lines in the interval 0sxs2x? If so, where? If not, why not? Visualize your findings by graphing the function with a grapher. y= 3x +2 sin x Select the corect answer below and, if necessary, fill in the answer box to complete your choice. O A. The function has a horizontal tangent line at x = (Type your answer in radians. Type an exact answer in terms of x. Use a comma to separate answers as needed.) O B. The function has no horizontal tangent lines in the interval 0sxs2n because its derivative is never zero in the interval 0sxs 2r. O C. The function has no horizontal tangent lines in the interval 0sxs2r because it is defined at every point in the interval 0sxs2n. O D. The function has no horizontal tangent lines in the interval 0sxs2n because it is never zero in the interval 0sxs 2n.
Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
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