Find the areas enclosed by the following curves: x = y2 – 1 and x = lyl/1- y² %3D

Q: Find the surface area if y = (x3/6)+(1/2x) on .5<=x<=1 is rotated about the x-axis.

A: Given: y=x36+12x on 5≤x≤1

Q: Rotating a vertical strip between y = x* and y = Vx around the x-axis creates a washer washer %3D…

A: We have to find the inner and outer radius of the washer method by rotating a vertical strip between…

Q: Find the area bounded by the curve x y2 +2y and the line z = 3. %3D

A: Given :                curve x = y2 + 2y and the line is x = 3 To find :               The area…

Q: Find the exact area of the region enclosed by a = t - 9t and y = 4t/2 and the y-axis. Be sure to…

A: To Find: The area of the region enclosed by x=t2-9t and y=4t1/2 and the y-axis.

Q: Find the areas enclosed by the following curves: y = xv1 – x2, and y = 0 | y = x/1 – x2 0.4 - 0.3-…

A: We have the given curve equation as y=x1-x2  and  y=0

Q: Identify the curves(shown below) given by the equations x = y' and x = 4y – y´ and find the area of…

A: The parabola y=x2 is a parabola that opens upward and the parabola x=y2 is a parabola that opens…

Q: Find the areas enclosed by the following curves: x = y2 – 1 and x = lyl/1- y2 X = x = y² – 1 1.0 0.…

A:

Q: Find the area between the curve y = y 2.0 1.5 1.0 0.5 1 square units y = 2 1 x5/4 1 X5/4 3 and the…

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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.