Find the area between the curves. x = -2, x = 1, y = 2x2 + 5, y = 0

Q: Find the exact area of the region that lies beneath the curve y = 10x, 0 < x < 27.

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Q: Find the area bounded by the lines and curves y = x? - 2 and y = 2

A: Graph:

Q: find the area between the graphs of y = (x + 1)* and y 3z +1. a)1, b) 3.

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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=3/x, y=12x, y=1/3x, x&gt;0

A: We have to find the area between the curves y=3/x, y=12x, y=1/3x, x&gt;0So, first of all we need to…

Q: Find the area enclosed by the line x = y and the parabola 4x+y^2=12

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Q: 8. Find the area enclosed by the line y=x-1 and y' = 2x+6.

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Q: Find the exact area enclosed by the curves, y=x5 - 6x3 + 4x and y = x.

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Q: Q4: Find the area enclosed by the curves: y = x² and y = -x² + 4x.

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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: 2. Find the area enclosed by the curve y2 = x6 (1- x²)³.

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Q: Find the area enclosed by the line y = x – 1 and the parabola y? = 2x + 6.

A: Given: The line is y = x-1 and the parabola is y2=2x+6   To determine: The area enclosed by the line…

Q: Find the area enclosed by the parabola y=4x-x^2 and the x-axis.

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

A: Find the area between the two given curves First draw both the equations in a single plane To draw…

Q: Find the area in the first quadrant bounded by the cubic 3x - x^3 and the lines x = 0 and y = 2.

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

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Q: 3. Find the area between the curves x2 2ay and x? = 4ay – a².

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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 y = x^2 + 4, x = 1 and y = 0.

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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 the curves. x= - 5, x = 3, y = 2x2 + 12. y = 0 The area between the curves is…

A: Given :y=2x2+12x=-5 to x=3

Q: Find the area between the curves. x = -2, x = 4, y = 3e3x, y = 2e3x + 1

A: The above question is from the application of the integration part and since the major part of…

Q: Find the area between y=x+3 and y=x^2+1

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Q: Find the area between the curve y = x3 – 6x2 + 8x and the x-axis.

A: We have to find the area between the curve y=x3-6x2+8x and the x-axis.

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9. ... 32 А.) В.) 18 s.u. s.u. C.) 36…

A: Topic = Area Area = 36 s.u.

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9. 32 A.) s.u. B.) 18 s.u. C.) 36 s.u.…

A: Follow the procedure given below.

Q: Find the area bounded by the line x-2y + 10 = 0, the x-axis, the y-axis and x=10.

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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 between two curves. x = y? 2- x = 9 0- + + + 10x 2 -2- 4 6 8 4.

A: The objective is to find the area between two curves.

Q: 2.) Find the area between the curves y? = 2x and y 6-x

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Q: Find the area between the curves y? = -12x and y? = - 24x – 36.

A: y2=-12x,  y2=-24x-36 find intersection points -12x=-24x-36 -12x+24x=-36 12x=-36 x=-3 . y2=-12x…

Q: Find the area of the curve y = x² and y = 9

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the area under the curve of the parabola y = x? - 2x + 2, above the x-axis and between x=0 and…

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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: 2. Find the area between the curve y = x3 – 6x2 + 8x and the x-axis.

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Q: Find the area bounded by the curve y? 4x and the lines x=1 and x=4.

A: Area bounded by a curve y=f(x) and the lines x=a and x=b is given by, A=∫abf(x)dx  We know, ∫xndx=…

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 enclosed between the x-axis, the curve y= (x-15)(7-x)(x+12) and the lines x=-12 and…

A: We have to find the area enclosed between the x-axis, the curve y=(x-15)(7-x)(x+12) and the lines…

Q: Find the area enclosed by the line x=y and the parabola 4.x+y² =12

A: Given that, The line x=y and the Parabola 4x+y2=12   We have to find Area between the Curves   As we…

Q: Find the area bounded by the parabola y2= 4x, the x – axis and the lines x=1 and x=3.

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Q: Find the area enclosed by the curve r= 5cos0

A: The given curve is as follows:r=5cosθTo find the area enclosed by the curve r=5cosθ

Q: Find the area enclosed by the line y = x -1 and the parabola y² = 2.x + 6.

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Q: Find the area between the curve and the x axis over the indicated interval. Y=4-x square; [-2,2|

A: Given: Y=4-x2 to find out: area between the curve and the x -axis over the interval [-2,2]

Q: Find the enclosed area by the curve with equation y = x² - 9 and the X-axis in the region [−1, 2] 24…

A: In this question, we want to evaluate the area of the region enclosed by the curves y=x2-9 and X-…

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

A: Solution )

Q: Find the total area of the region between the curve and the x-axis. y = 2x +7;1sxs5 52 26 9. O 18

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

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Q: Find the area in the first quadrant bounded by the curve y = 2x^2 the y - axis, and y = 3

A: we have to find area in the first quadrant bounded by the curves…

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.