Q4/ Find the area of the region enclosed by the curves 4x² + y = 4 and x* – y = 1 . |

Q: Find area of the region bounded by x2 + y2 = 6?, 3y = -8x and 17y = 10x where y 2 0. Leave your…

A: Area of region

Q: The area of the region bounded by y = v9-x² , the x-axis and the line y3x in the first quadrant is:

A: The area of the region is calculated by the double integration, and to solve double integration we…

Q: Determine the area of the region bounded by the curve y = x³ – x² – 2x, and а. the x-axis b. the…

A: Note: As you asked only part (b) so, I answered here only part (b).

Q: Find the area of the region bounded by the curve y = xe-x and thex-axis from x = 0 to x = 4.

A: Area under curve = ∫aby dx

Q: Find the area of the region under the curve y 3x +2x, the x-axis, x=0 and x 4. 0

A:

Q: Find the area of the region bounded by the curves y= 2² - 3 and y = 2x + 5.

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Q: The area of the region bounded by the curves y=x and y= 20-x² is

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Q: The area of the region bounded by the curves y =x and y= 20-x² is

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Q: find the area of the region enclosed by the curves y = 3x, y = -3 and y = 4 – x using integration.

A:

Q: find the area of the region bounded by the curves y=x3 and y = x² between their intersections.

A:

Q: Find the area of the region between the curves 4x + y^2 = 12 and x =y.

A: 4x+y2=12    and  x=y

Q: Find the area of the region bounded by the curves y = x ^ 3 - 12x, y = x ^ 2.

A: y = x ^ 3 - 12x, y = x ^ 2.

Q: 2. Determine the area of the region bounded by the curve y = x3 – x2 – 2x, and а. the x-axis

A:

Q: Find the area of the region bounded by the curve y = x2 and the line y = x + 2

A: We have to find the area

Q: a. Find the area of the region bounded by the curve y = x³ and the line y = 4x. ovis for

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Q: Find the area of the region bounded by the curves y = 2x^3 − x^2 − 5x and y = −x^2 + 3x.

A:

Q: Find the area of the region bounded by y = ¾(x + 2), x = 2 and the x-axis.

A:

Q: Find the area of the region bounded by the curves: y = 2x and y = x² – 4x

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Q: Find the area of region bounded by the curve y=x²-2x and y=-x²+4

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Q: Find the area of the region bounded by one loop of the curve x2 y*(1 – y²) %3D

A: The curve is given as , x2=y41-y2 The graph of the curve is

Q: Find the area of the region bounded by the curves y = x²-2x and y= - x.

A:

Q: find the area of the region bounded by the curves 4x - y2 = 0 and y = 2x - 4

A:

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

A: The given curve is y2=4x and lines x=2 and x=4. From the given information,

Q: The area of the region bounded by the curve y= x3−3x2−x+3 and y=0 is

A:

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: . Find the area of the region bounded by the two curves y = x3 + 3x2 + 2x and y = 2x? +4x.

A: As per Bartleby guidelines rule I am answering only first question because the second question is…

Q: Find the area of the region bounded by the curves. y = x² and y = -x² + 4x

A:

Q: Find the area of region enclosed by the curves. Hint: using integration y=lx²-4l and y=(x²/9)+4

A: The area under the curve: - Three easy procedures are often accustomed to figure the realm…

Q: Find area of the region bounded by x² + y² = 5², 7y = -3x and 19y = 4x where y > 0. Leave your…

A:

Q: Find the area of the region bounded by x 2y and y=2-- %3D

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Q: Find the area of the region bounded by the curves y = xe3x-+3 x-axis and the lines x = 0 and x = 1.…

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Q: Find the area of the region bounded by the curves y = x2 -4x and x + y = 0.

A: We will use double integration to solve this

Q: 4. Find the area of the region bounded by the curves x-y² = 0 and x+2y² = 6.

A: Hence, the area of the region bounded by the curves x-y2=0 and x+2y2=6 is 82 square units .

Q: Find the area of the the Curves bounded region x +y=O by X+y² =2

A:

Q: 2. Find the area of the region bounded by the graphs of y = x2 – 6 and y – 3 = 0. - -

A: Graphically: Now, the area can be found as the following.…

Q: Find the area of the region bounded by the curves y = x2 and x2 + y = 4x.

A:

Q: Find the area of the region bounded by the curves x + y = 0 and x = y² + 3y.

A: NOTE: Refresh your page if you can't see any equations. . given equations are so the first…

Q: Find the area of the region bounded by the given curves. y = 9x In(x), y = 36 In(x) %3D

A:

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: Find the area of the region bounded by the curves y = x 2 − 3x + 5 and y = 3x + 5.

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

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Q: Find the area of the region bounded by the curves y= x2 x3−3x and y= 1 x3−3x on the interval…

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Q: Find the area of the region bounded by the curves y = 6 – x² and y = x+ 4.

A: intersection  6-x2=x+4x2+x-2=0x2+2x-x-2=0x(x+2)-1(x+2)=0(x+2)(x-1)=0x+2=0 or x-1=0x=-2 or x=1⇒-2≤x≤1

Q: Find the area of the region bounded by y = 7x + 7, y = -9x + 4 and x = 15. Leave your answer correct…

A: The solution of the problem is given in the next steps.

Q: Find area of the region bounded by x² + y² = 42, 9y = -10x and 14y 5x where y > 0. Leave your answer…

A: Given: The area of the region bounded by the curves are x2+y2=42, 9y=-10x, 14y=5x where y≥0 To find…

Q: Find the area of the region bounded by one loop of the curve x2 y*(1 – y²)

A: Given:          x2=y41-y2         x=±y41-y2         x=y21-y2 The graph is symmetric about the…

Q: 2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

A:

Q: Find the area of the region bounded by the curves y = x2 – 12, from below; y= 20 – x2 from above.

A:

Q: Find area of the region bounded by x2 + y2 = 6?, 5y = -7x and 2ly = %3D 11x where y > 0. Leave your…

A: The region bounded by x2+y2=62, 5y=-7x & 21y=11x where y ≥0

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.