Consider a tank in the form of a box in which water exits from a small hole at the top, as shown below. If a = 8 ft, b = 6 ft, and c = 6 ft, calculate the work W required to em tank if it is half full of water. Assume that water is 62.43 Ib/ft3. (Round your answer to three decimal places.) NOTE: your work must include a picture denoting the distance, and your integral must agree with your picture. You may use your calculator to integrate. W = x 104 J Water exits here 9. a Note: if "show work" is required for this question, it is to submit your work for the ENTIRE EXAM, not just this problem. If "show work" is disabled, you are to submit your wo blackboard.
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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