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

Q: ea between the and the X Find the anre axis Curve = Cos X from X = o to 3/2 o

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Q: Find the area bounded by the ff. curves and lines: a. arch of y =(1/3)sin(x/3)

A: Consider  the equation

Q: Find the area A of the region inside the circler = 24 sin(0 + 4) and above the line r = 12 sec (0 –…

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Q: Draw the curve r = 2 cos 20 and calculate the area enclosed by this curve

A: Given r=2cos2θ

Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: Given the equation of the hyperbola : 3x2-2y2+6x-8y=6.

Q: y = cos? x and the line y = 1:

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 10…

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Q: Compute the exact area that is inside the circle (r = 14) and outside the petal of the flowered…

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Q: Q-Find the area of the region that outside r= 2 sin (e) and inside r= (1+cos e)? %3D

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Q: Find the area that is inside of the circle r = 4 sin(0) and above of the the horizonthal line r = 1…

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Q: There is a partial insurance policy that pays $80,000 upon the bad drought state (and $0 in the…

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Q: The area of the region inside r = 6 cos 20 the rose and outside the circle r = 3/2

A: Given that r=6cos2θ,r=32 Equating both, 6cos2θ=32cos2θ=122θ=±π4θ=±π8

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: Draw the curve r2 = 2a? $20, a > 0 and calculate the area enclosed by this curve COS

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

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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.