Find the Area of the region bounded by the given curves : 1) r = 3 + 2sine 2) r = 2- 2cose

Q: 2. Find the area of the plane region bounded by the curves y = x2 – 2 and y = x

A:

Q: Find the area of the shaded region. y-2 C4, 2) O4, 2 A) 2 (B) n-2 D) n

A: The area of the region can be found by the following formula  Area =∫abydx Area =∫ab|f(x)-g(x)|dx…

Q: find the parabolas x= y2,y= 255¢ and the ine area Of the region bounded by the

A:

Q: Find the area of the region bounded by x = and the y-axis using the horizontal strip. 2y²+1

A: Given curves are x=42y2+1 and y-axis.

Q: Consider the curves x = 12y? and x + 6y = 18. a) Determine their points of intersection (x1, Y1) and…

A: Given :   x=12y2 x+6y=18

Q: The area of the region bounded by the curves y = 4x? 3 22 and the lines æ = 1 and x = 5 and y is

A: Here is the solution of the given problem

Q: Q2) find the area of region in second quadrant within cardioid r = 1-cose

A: To find the area of the region in the second quadrant within the below cardioid. r=1−cosθ…

Q: Find the exact area of the surface obtaimed by the curre around the x-axis J relating the g= re √6-x…

A:

Q: Find the Area of the region enciosed by the cuNes ーメー0 and x+2ずニ3

A:

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.