Find the total area of the region between the curve and the x-axis. y= 2x-x, 0sx s2 O A. 3 O B. 3. C. O D. 4/3

Q: find the area of the region bounded above by the curve y = 2e^-x + x, below by the curve y = e^x/2,…

A: To find the area of the region bounded above by the curve y=2e-x+x, below by the curve y=ex2 on the…

Q: Find the exact area of the region that lies beneath the curve y = 10x, 0 < x < 27.

A:

Q: Find the total area of the region between the curve and the x-axis. y= -x +9, 0 sxs5 98 O A. 3 O B.…

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Q: y= -x² + 9; 0 sxs5 x< + 9; 0 < x< 5

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Q: Find the total area of the region between the curve and the x-axis. y= 2x-x2; 0sxs2

A: Explanation: Given curve is: y=2x-x2 Here x is from 0 to 2 To find the total area between the curve…

Q: y=x² And y=-x+4¢

A: Given: y=x2   and y=-x2+4x

Q: 4. Find the area of the region bounded by the following curves: y = (1+x²)3/2? the x-axis, x = 0 and…

A: The region bounded byy=x21+x232, the x-axis, x=0, x=3

Q: Find the area of the region between the curves y = 12 – a? and y = x² – 6. Area between curves =

A:

Q: Find the area between the graph of y and the r-axis for a E [0, b] where b is a (2x2 + 1)2 positive…

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

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Q: Find area of the region under the curve - 2 y = and above the x-axis, for 9 < r<11. area =

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Q: Q3) Find the area of the region enclosed by the curves: y y = x, and y = 1

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Q: Find the area of the region enclosed by the line y=4 and the curves y=e^x and y=(x-1)^2

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Q: The area bounded by the curve y=4- x2 · x-axis and the line is? 16 Ob. 11 Oc. 16 Od. 1 а. 5 3 3 3

A: The graph is shown below:

Q: Q4: Find the area enclosed by the curves: y = x² and y = -x² + 4x.

A:

Q: Find the total area of the region between the curve and the x-axis. 2) y = (x + 1/x; 4 sx s 9

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Q: Q2. Find the area enclosed by the curve y = x³ – 3x² + 2x and the x-axis.

A: To find the area enclosed byy=x3-3x2+2x and x-axis

Q: Find the area enclosed by the x-axis and the curve x = 4 + e*, y = t – t2.

A:

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9. ... 32 А.) В.) 18 s.u. s.u. C.) 36…

A: Topic = Area Area = 36 s.u.

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9. 32 A.) s.u. B.) 18 s.u. C.) 36 s.u.…

A: Follow the procedure given below.

Q: Find the area of the region bounded above by y = −x² + 5 and below by y = 1.

A: Given, y=-x2+5 and y=1

Q: Find the total area of the region between the curve and the x-axis. 13) y = x2(x - 2)2; 0 s x s 2…

A:

Q: Find the area between the curves. 3x x-0, x- 3, y=2 e* y-e+ e The area between the curves is…

A: Find the area

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

A: Given, We have to find the area enclosed by the x-axis and the curve y=-x2+9.

Q: Find the total area of the region between the curve and the x-axis. y = -x2 + 9; 0 s x s5 Select…

A: First I have written the formula of area between a curve and x-axis , just use tha formula for given…

Q: 34. Find the area enclosed by the curve x = t2 - 2t, y = Vi and the y-axis.

A: As per Bartleby guidelines we're supported to answer only one question when two or more different…

Q: Find the total area of the region between the curve and the x-axis. 1 : 1sxs4 O A. 4 OB. Oc. 2 1

A: Graph of y=1x looks like following :

Q: Calculate the area of the region that lies under thecurve and above the  x-axis. y =1- x2

A: The graphical representation of the area is,

Q: Find the total area of the region between the curve and the x-axis. 9) y = (x + 4)3; 0 <x<3

A: The Area Under a curve The area under the curve between two points can be found by a definite…

Q: can i get step by step help please

A: We have given y = 2x – x2; 0 ≤ x ≤ 2

Q: Find the area A of the portion of the region between the graphs of and y =| x + 2. that lies in the…

A: According to the given information, it is required to determine the area A of the portion of the…

Q: Find the area between the curves. 3x x=0, x=3, y=2 e, y=e + e 3x The area between the curves is…

A:

Q: find the area between the curves y=Vx and y x for

A:

Q: Find the total area of the region between the curve and the x-axis. 7) y = 2x - x2; 0 sx<2

A: Given, The curve  y = 2x-x2   ;  0≤x≤2 We have to find the area of region between the curve and the…

Q: Find the area enclosed by the x-axis and the curve x = 1 + e t , y =t-t2.

A: find explanation below

Q: (b) / Find the area of the region between the curve y = 3 – x? and the line y = -1.

A: Area between two curves Let  f(x)  and  g(x)  be continuous functions such that  f(x)≥g(x)  over an…

Q: Find area of the region under the curve y=x^3−9 and above the x-axis, for 5≤x≤7. area=

A:

Q: Find the total area of the region between the curve and the x- axis. y = (x + 5) ; 1 < x < 9 Select…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: Find the area of the region between the curves ソ=x and y=x? for 0<x<1

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Q: Find the area enclosed by {x=t3/2+t+6 & y=-t2+5t-4} and the x-axis

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Q: 34. Find the area enclosed by the curve x = t2 – 2t, y = Vi and the y-axis.

A: Given

Q: Find the area of the region between y = – x + 4x – 3 and thex-axis, 0 < x < 2. Round your answer to…

A: to find:- Area of the shaded region.

Q: Find the area enclosed by the given curve and the y-axis.x = t2 − 3ty = square root of t

A: From y=sqrt(t) find t=y^2Then plug it in x=t^2-3tSo the curve is: x=y^4-3y^2

Q: Find the total area of the region between the curve and the x-axis. y = (x + 1)3; 0 s xs 4 O A) 156…

A: The solution are next step

Q: Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the…

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Q: Find the exact area of the region that lies beneath the curve y = 6x, 0 < x < 27. 19

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Q: Find the area of the region between the curve y = 5-* and the interval 0sxs2 on the x-axis. 25 O A.…

A: Given query is to find the area of region by curve and x axis.

Q: Find the total area of the region between the curve and the x-axis. y = 2x +7;1sxs5 52 26 9. O 18

A:

Q: Find the area of the region that lies above the x-axis, below the curve x=t2+5t+8, y=e-t with 0≤t≤1.

A: Given that, x=t2+5t+8 y=e-t Where 0≤t≤1

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.