Sketch the region enclosed by the given curves andfind its area. y = x2 ,y = 4x - x2

Q: area

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Q: Find the area of a region bounded by the curves y=x3, y= 2ex , x=0, and x=1

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Q: 2 ア=x,y=2r

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Q: Find Find the area of the region R enclosed by the the area of the region R enclosed by the curves y…

A: Here the area enclosed by y=x5 & y=x3 is symmetric about Y-axis. For point of intersection,…

Q: y=x² And y=-x+4¢

A: Given: y=x2   and y=-x2+4x

Q: Sketch the region enclosed by the given curves. y = Vx. y =x, x = 25

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Q: Sketch the region enclosed by the given curves and find its area. (a) 4x + y2 = 12, y = x (b) y = 3x…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: find the area of the region enclosed by the curves y=x^2-2 and y=2

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Q: Sketch the region enclosed by the given curves. 3 y = - y = 12x, y = x, x > 0

A: The sketch of the given region is:

Q: Find the area of the region bounded by the given curves: y = x² y = 4x – 22

A: Given: y=x2, y=4x-x2 For finding area of region bounded by given curves, we draw graph of both…

Q: Sketch the region enclosed by the given curves. y = 14 - x2, y = x2 - 4

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Q: Sketch the region enclosed by the given curves. y = Vx, y =x, 0 SxS9 2 8

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

Q: Determine the area of the region between the following curve. x = |y| and 2x = −y^2 + 2

A: Given that, x = |y| and 2x = −y2 + 2

Q: Find the area of the region bounded by the three curves y = x², x = y³, and x + y = 2.

A: It is given that, y3=x ⇒y=x13let, y=f1(x)=x13y=x2let, y=f2(x)=x2x+y=2⇒y=2-xlet, y=f3(x)=2-x   Area…

Q: Sketch the region enclosed by the given curves. x = 7y2, x = 4 + 6y2

A: Here, We will use the concept of tracing the simple curve, and method of double integral to find the…

Q: Sketch the region bounded by the given curves, then find its area. 2. x = y2, x = y +6

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Q: sketch the region enclosed by the given curves  y= ∛5x,y=1/5 x

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Q: Sketch the region enclosed by the given curves and then find the area of the region. y=cos(4x),…

A: Given thaty=cos4x ,y=0 .x=π8 , x=π4  To find : Area enclose by the region Solution

Q: Sketch the region bounded by the given curves, then find its area. 1. y = x², y = 2x

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

A: It is given,Function 1: y= -3x1  OR x1 = y29                        (1)Function 2: y= x2- 2   OR x2…

Q: Sketch the region enclosed by the given curves andfind its area.   x = 2y2    ,x = 4 + y 2

A: Given curves are x=2y2 and x=4+y2 Will find the intersection points of the given curves. We will…

Q: Sketch the region enclosed by the given curves. y = Vx- 3, x- y = 3 2 3 1 3 4 -2 Find the area of…

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Q: The area of the region bounded by the curve y = a° – 3x? – x + 3 and y = 0 is

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Q: Sketch the region enclosed by the given curves and calculate its area. y= square root of x, y=0, x=4

A: Given,

Q: Sketch the region enclosed by the following curves and find its area. y = x^2, y = 4x -x^2

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Q: Sketch the region enclosed by the given curves. y = 8x, y =x, y = 2/x, У 6F 6F 4 1 4 У 3 3 1 3 4…

A: First of all, plot the curves y = 2/x, y = 8x and y = (1/8) x using the graphing utility.Consider…

Q: Sketch the region enclosed by the given curves. y = 19x|, y = x² – 10

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Q: Find the area of the region enclosed by the line y = 4x and the curve y = x3 + 3x?

A: Given: y=4xy=x3+3x2

Q: a) Find the area of region enclosed by the two curves y = Vx +1 and y= /2x

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Sketch the region enclosed by the given curves and find its area: y = (x – 3)2, y = x + 3.

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Q: Sketch the region enclosed by the given curves andfind its area.   y = |x| ,    y = x2- 2

A: Given curve  y=x2-2 and y=x When the value of x<0 then, y=-x and and when x>0 then y=0. Solve…

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

A: The given curves are,   y= x2,  y = 4x - x2

Q: Sketch the region enclosed by the given curves andfind its area.       y =|x|     , y =  x2 -2

A: Definition used -      Area between two curves -       If two curves f(x) and g(x) are…

Q: Find the area of the region bounded by the given curves. y = 2ax, y = 2ал*, а > 0

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Q: The area of the region enclosed by the curves y = x2 - 1 and y = 1 - Ix| is

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Q: Find the area of the region enclosed by the given curves. y = 13-x2, y=x2-5

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Q: Find the area of the region enclosed by the curves 4x² + y = 4 and x - y = 1.

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Q: Sketch the region enclosed by the given curves. y = 12 – x2, y = x² – 6 y 5

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Q: Sketch the region enclosed by the given curves. y = V5x, y=x

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Q: Find the area of the region bounded by the given curves: yx = 1, y= 0 , x = 1, x= 3

A: Given: Find the area of the region bounded by the given curves: `yx=1 y=0 x=1 x=3`

Q: Find the area of the region under the curve y = 6x? + 4x + 3 from x = -1 to x = 2.

A: integration is the process of finding the anti-derivative function of the given function. The…

Q: Find the area of the region enclosed by the curves y=x' -4x and y = -2x

A: y1=x2-4x    and  y2=-2x

Q: Sketch the region enclosed by the given curves andfind its area. y = 12- x 2   , y = x2 - 6

A: Given curves are y=12-x2y=x2-6

Q: Sketch the region enclosed by the given curves. y = ex, y = x2 – 4, x= -2, x = 2

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Q: Find the area of the region enclosed by the curves: y = x' – 2x², y = 2x² – 3x -

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Q: Find the area of the region enclosed by the curves y=x-4x and y =-2x.

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Q: Find the area of the propeller-shaped region enclosed by the curves x - y1/3 = 0 and x - y1/5 = 0.

A: We have the curves x-y13=0 and x-y15=0. We have to find the area of the propeller-shaped region…

Q: y=x? y=4x-x² 4 > 2 -2 -4 -1 1 3

A: Here we will find the area between the curves,

Q: Sketch the region enclosed by the given curves. y = 15 – x2, y = x² – 3

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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.