Find the area between the corves y= 2-x² and

Q: Find the area enclosed by the curves f(x) = 16x and g(x) =2x4

A: We need to find the area enclosed by the curves

Q: What is the area (in square units) bounded by the curve y' =x and the line x- 4=0?

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Q: Find the area bounded by the parabola x = 8+2y-y², the y-axis, and the lines y = -1 and y = 3.

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Q: Find the area bounded by the given curves. y = 3x2 and y = 27…

A: Given:

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

A:

Q: Find the area bounded by the curve a^2y = x^3, the x-axis and the line x = 2a

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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: Find the area between the CUoyes y=9-x² and y= -5

A: For any two curves f(x) and g(x) which intersect at points with x-coordinates a and b and bound a…

Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: Find the area under the parabola y = 8 - x^2 -2x, above the x axis

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Q: Find the area contained between the two curves y = 3x - 2² and y=x+x².

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Q: Find the area between the two curves: y = x2 and y = 4x + 5

A: In this question we have to find Area.

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

A:

Q: Find the area enclosed between the curve y = 9 - x squared and line y = x + 7

A: This question is based on application of integration.

Q: Find the area between the two Curves- y=x, a°y = x³ 3,

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Q: Find the area between the curves: y = x³ – 10x? + 16x - x³ + 10x² – 16x 3 and y = -x° + 10x?

A: Consider the figure given below :

Q: Find the area between x = y2, x - axis, x =y +2 To find the intersect points

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Q: Find the area bounded by y = (11 – x)7, the lines 3x=2, x=10, and the x-axis

A: We have to find the area bounded by the curves.

Q: Find the area of the infinite region in the first quadrant between the curve y = eX and the x-axis.

A: Given curve, y=e-xand x-axis Formula for the area of the region under a curve is given by A=∫aby dx

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 given curves. y = 8x3 + 7 and y = 8x + 7 _________ square units

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Q: find the area between the curves y=sqrt(x) , y = 1x/2 , x = 25

A: Given:

Q: find the area bounded by the given curves y=8x3+7 and y=8x+7

A: Given,           The curves are y=8x3+7 and y=8x+7.

Q: Find the area of the region in the first quadrant bounded by the line y = x, the line x = 2, the…

A: the area of the region in the first quadrant bounded by the line y = x, the line x = 2, the curve y…

Q: ² = 2x, x – y = 4.

A: Topic = Application of integration

Q: Find the area bounded by the curve 5y^2 = 16x and the curve y = 8x – 24.

A:

Q: Find the area between the curves.  y = |9x|  ,  y= x^2 - 10

A: First we graph the functions. They cut at (-10,90) and (10,90)Area from x=-10 to x=0 is equal to the…

Q: Find the area between the curves. y = x4/3, y = 2x1/3

A: y = x4/3, y = 2x1/3

Q: Find the area lying between the parabola y = 4x – x² and the line y = x -

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Q: Find the area of the region enclosed by the parabola y = 2 - x2 and the line y = -x.

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Q: Find the area of the region bounded by y = 13 / (49 − x2) and y = 1.

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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 lying between the parabola y=4x - x^2 and the line y = x.

A: The given curves are y=4x-x2 and y=x. To find the area between the curves we will firstly plot these…

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

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Q: Find the area enclosed between the two curves y=4-x^2 and y=x^2-2x.

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Q: Is it possible to get the area between y2 = 3x and y = x3, using  a. vertical strips b. horizontal…

A: Given  The equations are y2=3x  and  y=x3 .     Formula :- Area under the curve  a) vertical strip…

Q: Find the area between the curves y = 4x° and y= 3x + 1.

A: Given the curves y=4x2 and curve y=3x+1. We need to find the area between two curves.

Q: Find the area bounded by the indicated curves. y=7-7x2, y 0

A: We have to find out the area enclosed by the curves

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

A:

Q: Calculate the area bounded by the circle r=4sinx and the line x=pi/3

A: To find - area bounded by the circle and the line.

Q: Find the area between the curves. y=x² - 23, y = 9 – 4x

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Q: Determine the area bounded by the parabola y = x^2, the line y = 6-x, and the x-axis

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Q: y = 3x2, y = 0 and x 31

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Q: Find the area in the first quadrant bounded by y=4x-x² and the x-axis

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Q: Find the area enclosed by the curve  x = t2 − 2t, y = square Root(t) and the y-axis.

A:

Q: Find the area between the curve y = cos (2x) and the line joining the points (,0) and (등, 글).

A: Integrals and derivatives are considered as the inverses of each other. For example if we have a…

Q: Find the area between the curves: y = x3 – 12x? + 20x and y = -a3 + 12x2 – 20x

A: Solution )

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

A:

Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

A: Intersection Points are:  The line x=1 will intersect the x-axis at (1,0) because y is 0 at…

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.