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

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: Sketch the curve, y=-x +9. Then, find the area between the curve and the x- - axis over the…

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Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x-…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

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: . Find the area bounded by the curve f(x) = (2+x)(x – 5), the lines = -2, line = 0 and the x - axis.

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Q: Find the area between the curves. x = -3, x = 0, y = 1 -x2, y = 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: Find the area bounded by the indicated curves. y = x4 - 18x? + 81, y = 81 - x

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Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x-…

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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: The graphs of y = 1 − x2 and y = x4 − 2x2 + 1 intersect at three points. However, the area between…

A: Given curves  y=1-x2 y=x4-2 x2+1 Graph :

Q: Find the area bounded by the curve y^2 = 4x and the line 2x + y = 4.

A: Given curves are  y2=4x, 2x+y=4 The region bounded by the above curves  is the yellow colored region…

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 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 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: Determine the area of the triangle bounded by the coordinate axes and the tangent to x² - y = 0 at x…

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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: Find the distance between the point (-1,2) and the line with x-int 1/3 and y-int 3/4.

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Q: There is a line through the origin that divides the region bounded by parabola y=x-x^2 into two…

A: Given There is a line through the origin that divides the region bounded by parabola y=x-x^2 into…

Q: The area under the curve is negative, if z value is also negative. True or False?

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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 -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 of the region bounded on the left by the curves y = e3x and y=3-x, and on the right by…

A: The area is the amount of space occupied by the surface. It is measured in terms of unit squares it…

Q: Solve the area bounded by the curve y=x^2+2 and the line y=-x, x=1 and x=-2. With graph

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Q: Calculate the area between the curves y = 7- 2x2, y = x2 + 4, and the x-axis.

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Q: estimate the area under the curve y=x^1/2, from x=1 to x=3 using right end point estimate

A: SolutionGiventhe curve y=x,from x=1tox=3 we need to estimate the area  under the curve y=x1/2,from…

Q: Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and…

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Q: Find the area between the curves y = x2 - 8 and y = 4 - x.

A: Explanation of the answer is as follows

Q: Find the area bounded by the curve ay²=x³ and the line x=4a. With sketch please.

A: Area problem....

Q: Find the area between the curves: y=x^3−10x^2+21xx and y=−x^3+10x^2−21x

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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: There is a line through the origin that divides the region bounded by y = x − x^2 and the x-axis…

A: Area between curves

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: What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis from…

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Q: What is the area bounded by the curves y=x2+5 and y=−x2, the line x=3, and the y axis.

A: Given that, The curves are y=x2+5 and y=-x2, the line x=3, and the y-axis. Find the area bounded by…

Q: Area between curves  y=0.01x^2-3x+229 y=429-2x

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

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Q: Find the area between the curve y - x + 9x + 20 and the x-axis from x - -4 to x - -2. (Give an exact…

A: Given, y = x2 + 9x + 20  x = -4 and x = -2  We have to find the area of between the curve y = x2 +…

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: how do I determine the area under a curve?

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Q: Find area of circle whose eq is (x-3)^2 - (y-3)^2=4 using integration

A: Note: The correct equation of circle will be x-32+y-32=4.  The radius of the circle is 2 and center…

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.