find the area between x=3y and x=y^2-4

Q: What is the area of the region bounded by y^2 = x and y = x^3?

A: Given curve is : y2=xy=x3 To find the area of the region bounded by the curve.

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 between the curves (x^2)-(y^2)=9 and the line y=2x-6

A: Recall: Area between two curves:          A=∫abf(x)-g(x) dx           OrA= ∫abUpper function-(Lower…

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: 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: 7. y=- y=0, x =1, x = -1

A: We will solve for first part only. Given equations of curve: y2-6y=-xy2-2y=x

Q: What is the integral expression of the area of the region bounded by the curves x= y - y^2 and x =…

A: Area between curves

Q: What is the area of the region between the graps y = x – 1 and line y = -x – 1

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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 curve y = x2 + 9x + 14 and the x-axis from x = −2 to x = 0. (Give an exact…

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Q: find the area bounded by the given curve y=2x-x^2 and y=

A: The area bounded by the two curves is given by ∫abf(x)-g(x)dx where f(x) and g(x) are two curves on…

Q: Find the area bounded by the given curve and line. 1. y= -x^2 + 4 and y = x^2

A: To find: The area bounded by the curve. Given: The equation of curves are y=-x2+4 and y=x2. Concept…

Q: Find the area under the curve y=2x6y=2x6 over the interval [0,3][

A: Solution

Q: Explain the application of integration to area.

A: .

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 region bounded by x=--y2  +10 and x=(y -2)2

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Q: Find the area of the region bounded by y = 3x + 10, y = -4x + 1 and x = 12. Leave your answer…

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Q: By double integration, Find the area between the line y=6-2x, the x-axis and y-axis.

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Q: Find the area of the region bounded by the graphs of the equations                y = 6x2 / (x3 − 2)…

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Q: Express the area of the shaded region in terms of an integral (or integrals). Do not evaluate your…

A: Given,

Q: Find the area bounded by the curve y = 9 – x2 and the x-axis.

A: Area

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: ded by the curve or line: y2+4x-8=0, Y

A: Given that: The equation of the curve y2 + 4x - 8 = 0. The equation of the line y = 2x.

Q: Find the total area of the shaded region. 1.5- *-5y3 1- (5,1) x= 5y2 0.5- 2.5 7.5

A: Solution

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

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Q: Find the area of the region bounded by y = 4x + 9, y = -6x + 9 and x = 14. Leave your answer correct…

A: Area of region bounded by given curves are evaluated.

Q: Give an example showing how to use rectangles to estimate the area under a curve.  Then use…

A: Let us choose a function f(x) = x2 and say that we want to calculate the ara under f(x) and x-axis…

Q: Calculate the area between the curves x = 1– y² by the line x = y² – 1.

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Q: Express the area of the shaded region in terms of an integral (or integrals). Do not evaluate your…

A: Firstly, we need to calculate the points of intersection of th given curves…

Q: What is the area of the region between the graphs of y=x^2 and y=-x from x=0 to x=2?

A: The equation of the curves are : C1 : y = x2C2 : y =-xC3 : x = 0C4 : x = 2 To evaluate : The area of…

Q: Use double integration to calculate the area of the region 2 encolsed ye and x+y=2.

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Q: Explain the application of integration to area in a paragraph.

A: To explain the application of integration to area.

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: Find the area between the curve y=2x-4 and the x-axis on the interval [-3,9]. I understand how to…

A: We have to find area

Q: Find the area bounded by the curve y = 4x - x2 and the lines x = 0 and y = 4.

A: topic - area bounded by curves

Q: What is the area of the region bounded between the graphs of x= y + 1 and x = 3 – y? ?

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Q: 1) Determine the area of the region bounded by y= 2x, y = 3x – x

A: We first sketch the region using a graphing calculator.  From the graph we see two symmetric parts.…

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: Please kindly find the area between the graph of y=2-ex and the x- axis on [0,1]

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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: Find the area between the curves x = y2 -1 and x = 2 y2 – 2. %3D

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Q: Solve the area bounded by y^3+10=x^2, the lines y=-2 and y=2

A: Given: The curve is y3+10=x2 and lines are y=-2 and y=2 To find: Area

Q: Determine the area bounded by the region x =-y^2+10 ans x = (y-2)^2

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Q: ow do I find a and b of the integral when finding the area between two curves

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

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Q: Find the area between the curves of y=x^2+1 and y=x+7 from x=-2 to x=3. I keep getting different…

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Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9

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Q: a of the region bounded by y=4x-x^2 and y=x

A: the area bounded by two curves f(x) and g(x) is given by ∫abf(x)-g(x)dx now  y=4x-x2 and y=x2-2x…

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

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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.