Find the area bounded by the curve r² = 16cos0 %3D

Q: Find the area bounded by the curves y2 = 4x 4х + у — 6 %3 0

A: We need to find the area bounded by the curves y2=4x4x+y-6=0

Q: Find the area of the region bounded by the curve y=1- and the x- axis.

A:

Q: Find the area between the curves. y = x2 - 18, y = x - 6

A: y = x2 - 18, y = x - 6

Q: Find the area between the curves. y = x2 and y = - x2+18.

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Q: Find the area bounded by the curves 3 and y = x +1 2 y =

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Q: Find the area bounded by the curve r2 16cose

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Q: Find the area between the curve y=4x-x² and the x-axis

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Q: Approximate the area under the curve y

A: Introduction: The formula of the trapezoidal to approximation is given by,…

Q: Find the area bounded by the curves -x + y² = 8, x = -2y and y = -2.

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Q: . Find the area bounded by the given curves. y = 9x² and the x - axis.

A: First we find point of intersection of curve y=9-x2 and x-axis. Put y=0, 0=9-x2 x2 =9 x=±3 Therefore…

Q: Find the area bounded by the curve y = x 2 and y = 2 − x 2

A: To find area bounded by the curves y=x2 and y=2-x2.

Q: Find the area bounded by the curve y = 8 – x and both coordinate axes in the first quadrant. Area of…

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Q: the area bounded by the curves y=2-x2 and y=x2 is

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Q: (a) Find the area bounded by the curves y = 2x2 and y = 4x.

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Q: Find the area between the curves. x = 0, x = 3, y = 2e3x, y = e3x + e6

A: To find the area between the curves, f(x)=2e3x and g(x)=e3x+e6, use the formula, A=∫ab[g(x)-f(x)]dx.…

Q: What is the area bounded by the curve ?^2 = −9? and the line y+1=0?

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Q: Find the area bounded by the curve r? = 16cose

A: Draw the graph and then it clearly shows area is divided into 4 equal part so first find area of…

Q: Find the area bound by the curves x = 81 – y² and r = y – 9.

A: We first graph the region using a graphing calculator

Q: Find the area bounded by the pair of curves. y = x² + 4x and y = 4x + 1 square units

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Q: Find the area between the curve :       , and the positive semi-axis "X".

A: Given curve is y=e-xcos(x)

Q: Find the area bounded by the curve y= lnx, the x– axis, the line x = e². A =1+e?

A: Use area formula

Q: Find the area bounded by the curve y = x² – 3x 3x and y + 4 = 0

A: We have to compute the area of the region bounded by the curve y=13x3-3x and the line y=-4 using the…

Q: Find the area bounded by the curve y = 4x - x² and and the lines x = 0 and y = 4. %3D Answer:

A: we can find the area between the curve and the lines by integrating the curve function through lines…

Q: Find the area bounded by the curves y= 5x and y = 15x.

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Q: Find the exact area of the region that lies beneath the curve y = 8 sec2 (x), 0<x < n/3.

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Q: Find the area enclosed by the x-axis and the curve y = -x² + 9.

A: Given, We have to find the area enclosed by the x-axis and the curve y=-x2+9.

Q: Find the area bounded by the curves y = 1 – x² and y = 11 – 7x.

A: The curves y=1-x2 and y=11-7x. Find the points of intersection of two curves .…

Q: Calculate the area enclosed by the curve r = 3sin0

A: According to guidelines we should have been able to solve only first question at a time

Q: Find the area bounded by the curves y=2x−x2 and x+y=0.

A: Given curve is

Q: ² = 2x, x – y = 4.

A: Topic = Application of integration

Q: Find the area bounded by the curves у 3 х2 аnd у %3D 2 — х2

A: Given that: y=x2y=2-x2

Q: Find the area bounded by the curve (p^2)=16cosθ

A: We have to find the area.

Q: Find the area enclosed in a curve r=20sin20.

A: Let's find.

Q: Find the area bounded by y=2*, y = 2x2, the y - axis and x = 1 Write your final answer in two…

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Q: Find the area bounded by the curves, y = 2x –x² and y=x-2.

A: Here we have to find the area bounded by the curves, y=2x-x2 and y=x-2 .

Q: Find the area bounded by the given curves.y = x2 − 3 and y = 12 − 14x2…

A: First we graph the curves using graphing calculator.

Q: Find the area enclosed between the x-axis and the curve y = (x+ 3)²,0 < x < 1.

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Q: Find the area bounded by the given curves. y = x2 − 5 and y = 4 − 8x2 _____________ square units

A: Given curves y=x2-5 and y=4-8x2. The objective is to find the area bounded by the curves.

Q: Determine the area bounded by the curves y = -² – 20z + 96 and y= (r – 4)?.

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Q: Find the area between the curves y = and y 3x +2. %3D

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Q: Sketch the graph and find the area bounded by the curves for y = 2x² and y = x² + 4

A: Given query is to find the area bounded by the curves.

Q: Find the area b0 und by Curves the y3= X-3

A: The region is bounded by y=9x2-36, y=0, x=1 and x=3

Q: Find the area bounded by y=2%, y = 2x2, the y - axis and x = 1 Write your final answer in two…

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Q: Find the area between the curves y = x and y = -x

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Q: Find the area bounded by the curver² = 8 c A. 8 sq. units

A: The given polar equation is r2=8cosθ  Put r = 0,

Q: Approximate the area under the curve y = x? from æ approximation with 6 subdivisions. 1 to a = 4…

A: The given function is y=x2   on  1,4. The area of the curve y=x2 over 1,4 is A=∫14x2 dx.…

Q: Find the area R- region in the first quadrant that lies below the curve y=x^2+4 and is bounded by…

A: The given problem is to find the area of region R bounded below by the given curve and the line.…

Q: Find the area bounded by the curve y = 4x - x² and y = 3. Answer:

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Q: Find the area bounded by the curve y = ex, the lines x = -1, x =1 and the x axis.

A: To find the area bounded by curve y = ex, the line x = -1, x = 1 and the x-axis

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.