Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. sin

Q: 15. Sketch the region enclosed by the lines x = 3 and y = 1 and the curve xy = 9, and find its area.

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

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A: graph: r=1-sinθ

Q: S(2 – z ) dz

A:

Q: 7) Find the area of the region enclosed by the cardioid r² = 4 cos 20.

A: To find the area of the region enclosed by the cardioid r2=4 cos 2θ.

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A:

Q: 16 – x2, y = x², x = -4 and x = a) Sketch the region enclosed by curves y = compute the area of that…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: 10. Consider the region R shown in the following figure, which involves the curves of equations: ex…

A:

Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

A:

Q: Find the area of the bounded region

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A: Solved below

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A: Given two points are X( 0 , 3 ) and Y( -3 , -1 ) Given  is the radius of the circle Area of the…

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A: Given that, the diameter of the cylinder is 50 mm and the height is 60 mm. At first a box should be…

Q: 9. 3y=x'-2xr-15x; y=x -4x-11x+30 |

A: We will find point of intersection and then draw curves . Then find area by using integration for…

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A: When two triangles are similar, the reduced ratio of any two corresponding sides is called the…

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A:

Q: 10. Consider the region R shown in the following figure, which involves the curves of equations: ex…

A:

Q: of the region enclosed y=x²-5 and y=4 ind the area

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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.