Find the area enclosed by the curve p? = 3 cos(50) %3D

Q: Calculate the area of the region inside the circumference r = 3sinθ and outside r=2-sinθ

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Q: Find the area inside one petal of the curve r = 4 sin(20).

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Q: Find the total area between r = 4 sin(0) and r = 7 sin(40). %3D

A: Double integral is used to integrate the function of two variables over two-dimensional region.…

Q: Find the area enclosed by one leaf of the rose r= 5 Cos (10)

A: Solution of given question is followed by

Q: The area of the region inside the rose r = 8 cos 20 and outside the circle r = 4/2

A: Given r=8cos2θr=42

Q: Determine the surface area of the object obtained by rotating r = cos 8,-303% about the y-axis.

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Q: Find the area enclosed by one leaf of the rose r= 9 cos (50).

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Q: Find the area between the two curves for a = 13. %3D ,ra+ sin20 P= sin20 (Use symbolic notation and…

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Q: . Find the area between the curves r = sin0, and r = V3cos0

A: Area of polar curve

Q: Find the area outside r=1 and inside r=2cos(2Θ)

A: Use the following formulae, to obtain the result.…

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.