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

Q: Find the area bounded by the parabola y2 − 3x + 3 = 0 and the line x = 4. With illustrations please

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Q: Find the area bounded by tHe curves y=8x-x and y= 3x

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Q: The area between the two curves in the picture is

A: GIven functions are, y1=4y2=x2The given graphs are symmetric about y axis.The points of intersection…

Q: Determine the area bounded by the curves y=sinhx, y=coshx, the y-axis and the line y=1.

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

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Q: Find the area between the curves.

A: First sketch the region bounded by the curves x=1,  x=6,  y=1x  and  y=12 as shown below.

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: Estimate the area between the curve y = x^2 - 2x + 5 and the x-axis between x = 0 and x = 3 using 6…

A: Given, y=x2-2x+5 Here, a=0, b=3 and n=6 Therefore, ∆x=b-an3-06=12=0.5 Therefore the intervals are,…

Q: Determine the area bounded by the curves y = -x² – 18x + 63 and y = (x – 3)². |

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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: What is the area bounded by the curve x² = -9y and the line y + 1 = 0?

A: Given curve is x2=-9y Line is y+1=0 We need to find the area bounded by the curve

Q: Calculate the area of the segment cut from the curve y = x(3 – x) by the line y = x.

A: here we have to find the area of the region bounded by the curve and line.

Q: Estimate the area under the curve y=64-x^3 between x=0 and x=4. Use four rectangles

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Q: Find the area of the region bounded by the parabola y = 4x², the tangent line to this parabola at…

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Q: Find the area between the curve y = 4 – x² and the line y = -x + 2.

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Q: 4 y = 1 + x4' y = 2x2

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Q: Find area enclosed by curves.  y=x y=2x y= -x+2

A: Explanation of the solution is given below....

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

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Q: Determine the area bounded by the curves x³ - y = 0 and y + 3x² - 4 = 0, using a vertical element.

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Q: Find the area under the curve y = 3xe for æ > 3. area =

A: Given:The given curve is y=3xe-x and x≥3To find:we have to find the area under the curve

Q: Find the area between the curves y = 3 - x and y = x2 - 9: Exact value, show all work for full…

A: Given: y=3-xy=x2-9 To Find: Area between the given curves. Concept: i. If f(x) and g(x) are two…

Q: Two curves having an equation of x = 2vy and y = 2Vx intersect each other. Compute the area between…

A: Solution:-

Q: How can you determine the you must use vertical strip instead of horizontal strip in getting the…

A: We can also compute areas by slicing horizontally instead of vertically.  In this case, we'll denote…

Q: What is the area bounded by the curve y = x3 and x = -2 and x = 1? What is the area bounded by the…

A: we have to find area

Q: Determine the area bounded by the curve y = 2x - x^2 + 5 and the line joining the points (3,2) and…

A: Please see the explanation below

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

A: Given, x=-2,x=1,y=2x2+5,y=0

Q: Find the area between the curves -4x + y = 16 and -2x2 = -y+ 10.

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Q: Find the area between the curves. x = -5, x=2, y = 3x, y = x² - 4

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Q: Two curves having an equation of 2y² and y = 2x² x = intersect each other. Compute the area between…

A: A detailed solution is given below.

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

A: y = x4/3, y = 2x1/3

Q: Find the area on the first quadrant bounded by the curve y = 2Vx and the lines y = 1,x = 4 and the…

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Q: Find the enclosed area by the curve with equation y=x^2-9 and x-axis in the region[-1,2]

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Q: The area bounded by the curve y = 6x and the lines x = 7,x = 11 and x – axis ахis is

A: → y = mx is the equation of straight line passing through origin with slope m.→ Area of triangle =…

Q: Find the area under the curve  y= (2x2 - 7) / (sqrt(x)) ,   16 <= x <= 20

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

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Q: find the area between the two curvesx=2-y^2x=y^4

A: Given thatx = 2-y2         ...(1)x = y4            ...(2)

Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

A: The given parabola is: y=2x2 The tangent line at (5,50) has the slope: mx=5=dydxx=5          =4xx=5…

Q: Find the area between the curves.    x = - 5, x = 1, y = 10 x, y= x 2 -11

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Q: What is the area bounded by the curve y = x3, the x-axis, and lines x= - 2 and x = 1?

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Q: Find the area between the curves x=y^2/2 and y=x-4

A: First we draw the curves using graphing calculator.

Q: Determine the area bounded by the curves y = -r - 18z + 40 and y = (x- 2)2.

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Q: Find the area between the curves -16 = 4x- y and -10 = 2x-y.

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

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Q: What is the area bounded by the curve y^2=x and the line x-4=0?

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Q: Find the area bounded by the curves, 2x² + 4x + y =0 and y = 2x.

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Q: Estimate the area of the region under the curve        y = -x3 + 5 and above the x-axis for…

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Q: = 4x y = 2x – 4

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Q: find area between line y=-2+x and y=x^(1/2) and x-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.