Find the area between the cuo ves CUrres y=8-x² and y= -2

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

A: Graph:

Q: Find the area bounded by the following curve and line: y=4/x , y²-4y+2x=5 and the line y=4

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Q: Find the area bounded by the equations, y=2sinx, x=3, and y=-1/3x.

A: Given- y=2sinx , x=3 and y=-13x To Find- The area bounded by the above equations, Identity Used-…

Q: Find the area between the curves y=3/x, y=12x, y=1/3x, x>0

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

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

A: Find the area enclosed by the x axis and the curve y= 4-x2

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

A: From y=x3, y=3x+2 solving for the points of intersections.…

Q: find the area bounded by axes and line 3x+2y=12

A:

Q: find the area between the curves 2x^2+4x+y=0 and y=2x

A: Given that: 2x2+4x+y=0    and   y=2x

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 between y=x+2 and y=3x2+x for 1≤x≤2.

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Q: Find the area enclosed between y = x and x = 2 − y 2

A: Given, y=x and x=2-y2 We have y=x and x=2-y2⇒y=2-y2⇒y2+y-2=0 By solving the above equation, we get,…

Q: Determine the area enclosed by the curve r²=4sin(20).

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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 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

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Q: What is the area between y = 0, y = 3x2, x=0, x = 2?

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

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Q: Find the area bounded by the y´ = 8x and y=2x.

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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 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 bounded by the curves y= 5x and y = 15x.

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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 enclosed by the curve y = x 2 − 3 and the line y = 2x

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Q: Find the area between y =x+2 y = -2x+4 y = (2-x)/2

A: equation  at x=0 at y=0 y=x+2 y=2 x=-2 y=-2x+4 y=4 x=2 y=(2-x)/2 y=1 x=2 here we need to…

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

A: Given:

Q: Find the area between the curves y= 7cos(2x) , y= 7sin(4x), x=0, x=pi/4

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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 area enclosed by curves y=2x, y=4x^2

A: Area enclosed by two curves is the measure of the area occupied by their intersection.

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

A: y = x4/3, y = 2x1/3

Q: Find the area bounded by y = 2x2 - 4 and y = 5. Leave your answer correct to 2 decimal places.…

A: This is area under the curve problem

Q: Find the area bounded by the y2 = 8x and y = 2x.

A: To find the area bounded by the curves y2=8x and y=2x Solution :  Let y2=8x    ⋯(1) Since y=2x, we…

Q: Find the area in the second quadrant bounded by the curve y = x' +4x² – x – 4 and the x – axis.

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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 enclosed by the given curves. y = 2x-x2,y 2x-4 31

A: Explanation of the answer is as follows

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 two curves y=4-x^2 and y=x^2-2x.

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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 y=2%, y = 2x2, the y - axis and x = 1 Write your final answer in two…

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Q: What is the area between y=x+1 and y=x^2-2?

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

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Q: Find the area between the two curves y = 3 y = x² – 1 1+ x2'

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Q: What is the area of yhe region in the first quadrant defined by y=x^2 and y=4

A: Area of the region in the first quadrant defined by y=x^2 and y=4

Q: find the area baunded by the curves linest ytAx-8 =0 and y=x

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Q: Find the area bounded by the curves. y = x2 + 1, y= 10

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

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Q: Calculate the area between these equations, y=2/(1+x^2) , y=-x+6 and x=0

A: Given: To calculate the area between equations y=2(1+x2) y=-x+6 and x=0   Area between the curve…

Q: What is the area between the curves y^2 = 3x and y = x^3 using vertical strip?

A: Given: y2=3x y=x3 Draw the region bounded Consider a rectangular strip of length width dx.

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.