23. y = 2x, y =}r

Q: 9: Find the area of the region enclosed by the curves y x? and x = y about x-axis

A:

Q: 2/ determine the area of the region enclosed between the curves x= 0sy'-3 and y=x-1? ans/ 18

A: Please see the explanation below

Q: 6. Find the area of the region enclosed by the curves x = 3 - y² and x=y_+1.

A:

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: 4. Determine the area of the region enclosed by y = sinx, y = cosx, x= π/2, and the y-axis.

A:

Q: Fin the area of the region that lies between the curves

A:

Q: Sketch the region bounded by the graphs of the equations and find the area of the region    y= csc…

A: Given y = csc(x), y=2, π/6 ≤ x ≤ 5π/6

Q: Find the total area of the region enclosed by the curve x = y^(2/3) and the lines x = y and y = -1.

A: To determine the area bounded by the curves.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y…

A:

Q: Find the area of the region enclosed by the given curves.  y=2cos(3x), y=2sin(6x), x=0, x=π/6

A:

Q: Find the total area of the region enclosed by the curve x=y^2/3 and the lines x=y and y=−1.

A:

Q: Sketch the region enclosed by the given curves and find the area.  y = 12 − x ² , y = x² − 6

A:

Q: || 2. Find the area of the region enclosed by the curves x = 2y² – y + 1 and x y² + y + 4.

A: The area between two curves is given by: Where a and b are intersection points of the curves f and…

Q: Sketch the region enclosed by the curves and find its area. y = 9r° ,y = 9/ñx = andx = 1 = 9Vã.x…

A:

Q: Choose the value of the area of the region enclosed by the curves y = 6x³, and y = 6x. O 3 O mla 316…

A:

Q: 1. Find the area of the region enclosed by the line x = 2y and the curve x = y - y?

A: We will find out the required area.

Q: Find the area between the curves y= 7cos(2x) , y= 7sin(4x), x=0, x=pi/4

A:

Q: Find the area of the region between the curves y = x and y = x. Area between curves =

A:

Q: Find the area of the region of the enclosed by the curves y = 39 – x² and y = x2 – 33.

A:

Q: curves and calculate area. y=4-x^2, y=0

A:

Q: Find the area of the region between the curves y = |x| and y = x² – 2. Area between curves =

A: Given : Two curves y = |x| and y = x² - 2

Q: 2. Sketch the region and find the area of the region bounded by y = -x? + 9 and the x-axis.

A: The region is bounded by the curve y=-x2+9=-(x-0)2+9 and the x-axis.

Q: Sketch the region enclosed by the curves and find its area. y = x, y = 3x, y = -x + 4

A: Given; y=x, y=3x, y=-x+4   Now find the point of intersection between the line y=-x+4 & y=3x.…

Q: Sketch the region enclosed by the curves and find its area. y = x, y= 4x, y= -x + 4 AREA

A: Topic:- application of integration

Q: Sketch the region bounded by the graphs of the equations and find the area of the region y = x, y =…

A: We sketch the region using a graphing calculator

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

A: Given curve :

Q: 7. Sketch the region enclosed by the curves x = region. y4 and y = V2 – x for y > 0 and find the…

A:

Q: Determine the area of the region bounded by the curves y = ₁, y = 2x and x = 4

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Sketch the region bounded by the given curves, then find the area of the region. 25 y = 5 x = 2, y =…

A: We have to find the area between the two curves.

Q: Find the area of the region bounded by the curves: y = 5x y = 5/x Area = Check

A:

Q: Determine the area of the region enclosed by the curves y=1/x, y=1/x2, and x=9.

A:

Q: Determine the area of ​​the region bounded by the curves y = x3  , x + y = 2 and y = 0

A:

Q: 8 Determine the area of the region bounded by the curves y = =, y = 2x and x = 4

A:

Q: Find the area of the region bounded by the curves y=−3x, y=√x  and y=6

A:

Q: Determine the area of the region enclosed by the curve y = x2 – 2 and line y=2

A: Given that y=x2-2 and y=2To determine the area enclosed by the curve.Solution:

Q: 5. Find the area of the region enclosed by y = 4 – x², y = 3x and r-axis.

A:

Q: Find the area of the region R enclosed by the curves y = x ^3 and y = x^2

A: Ans;

Q: 5) Calculate the area of the region between the curves: y=2-x² and y=x²

A:

Q: 5) Calculate the area of the region between the curves: y = 2 = x² and y = x²

A: We can find the area as below.

Q: 8. Sketch the curves and determine the area of the region formed in the given interval: y = √√2x, y…

A:

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 between the curves y = x² and y = x. Area between curves =

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Determine the area of the region enclosed by the curves y = 3 VI, y=5– T, X-axis and y-axis in the…

A: The area between the curves y=3-x and y=5-x on interval 4, 5:The area between curves is the area…

Q: 48. Bounded by the curve y = 2/, the æ-axis, and the lines æ = 0 and æ = 16

A: Area under curve

Q: Sketch the region enclosed by the curves and find its area. y = x, y = 5x, y = -x +4 AREA =

A: Given that     y = x , y = 5x , y = -x+4 .

Q: Sketch the region bounded by the graphs of the equations, and find the area of the region. y=x,…

A: Here, we need to find the area of the region bounded by the graphs y=x, y=2-x, y=0

Q: Sketch the region bounded by the given curves, then find the area of the region. 25 y = 23. y = x =…

A: Formula:    Area=∫abf(x)-g(x)dx We have, f(x)=25x3, g(x)=5x2, a=2, b=12

Q: 2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

A:

Q: 2. Find the area of the region between the curve, x = y² + y −6, y- axis and y=0; y = 3.

A: we need to find the area bounded by the given curves.

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.