2 the area bounded by y = x , y = x is

Q: Find the area bounded by y = x3, y = 0, and x - 2 = 0 at the x axis and y axis.

A: The given curves are,

Q: Determine the area bounded by x²=y-1 and x=y-3

A: To find: The area bounded by the region x2=y-1 and x=y-3. Formula used: The area under the curve…

Q: Find the area bounded by y=2/√16−4x^2, x=0, y=0, x=1. Round to four decimal places.

A:

Q: 1.) Find the area bounded by the region x = 4y + 4 and y= x+ 2

A:

Q: Find the area bounded by y = 2x + x2 - x3, the x - axis, and x = -1 and x =1

A: On solving this we will get

Q: Determine the area bounded by y = x + 1 and y=1-x

A: If   x=fy be a continuous function of  y on a,b,then the area bounded by the curve x=fy and the…

Q: Solve for the area bounded by the graphs of y = √√x + 2, y = x + 2, x = 2, x = 4

A:

Q: Determine the area bounded by y= x< and y= 2x +3

A: We can find the area bounded by the graph and include the limits for finding the area bounded.

Q: 6. Find the area bounded by y= In x, y = 0 and x = e.

A: Area of a curve y=f(x) bounded by x=a, x=b is given by, A=∫abf(x)dx ln(e)=1, ln(1)=0

Q: ii) area bounded by x 1, y = 1,x = 3, y = 3, and x+y = 5 equal to %3D

A:

Q: 3. Find the area bounded on the right by x+y=2, and on the left by y=x and below by x-axis.

A:

Q: Determine the area bounded by y=2x+1, y=7-x and x=8

A: The formula to calculate the area is Area=∫x=ax=bf(x)-g(x)dx.

Q: find the Area between x=y^2-2, x=e^y. Y=1, y=-1.

A: Given The region, x=y2-2, x=ey and y=1, y=-1 To find the area of the given region.

Q: Find the area bounded by y^2 = 2x + 3 and y = x. * y = x 4 3 -2 y? = 2x + 3

A: The equation of the curves are C1: y2 = 2x+3 ⇒ x = y2-32C2: y = x To evaluate: The area bounded by…

Q: The shaded area bounded by y=x^2 and y=x^3 is 0.016 0.083 O 0.055 O 0.16 (1, 1)

A:

Q: Find the area bounded by y = 2x²+10, y = 4.r +16, x =-3 and x =

A: To calculate: The yellow region, which represents the required area. Determine the limits of…

Q: 2. Find the area bounded by y = x² - 2 and y = 2x + 1.

A:

Q: Find the area between y = x^2 + 4, x = 1 and y = 0.

A:

Q: Find the area bounded by y = 2; y = √x + 2; and y = 2 - x. Show your solution below.

A: We are given :  y=2  y=x+2 y=2-x First of all we will plot the graph for these 3 curves.

Q: find the area bounded by y=(1-x²) and y=0

A: Given curves are y=1-x2, y=0 The graph is as follows Here, yellow colored region is the required…

Q: 4 Find the area bounded by Y 0, y = 0, x = 1. 256 – 16x² - Round to four decimal places.

A:

Q: 5. Find the area between x = y + 1, y = Vx and x = 0.

A:

Q: 2: Find the area bounded by x= 2y and x = y - y?

A: Given: The curves are x = 2y and x = y3 - y2 .

Q: 6. Determine the area bounded by y = x² - 6x + 10 and y = 5.

A: This question can be solved using the concept of area bounded by two curves.

Q: 2. Find the area bounded by y = ÷x' 3x and y = -4. - %3D 3,

A:

Q: A region is bounded between x = 0, y = 1, x = 1, and y = (x-1)^2+1. What is the area of this region?

A:

Q: Find the area bounded by y³ = x² and x-axis, from x = 0 to x = 8.

A:

Q: 3 8) Find the area bounded by y = x = 0, y = 0, and x = 2. Vs1 - 9x2

A: Given function  y=381-9x2 y=39(9-x2)y=339-x2y=19-x2 To find area bounded by the curve

Q: 1. Find the area bounded by y = -x' - 3x and y =- 4. |

A: solve the following

Q: What is the area bounded by: 2 x² = -9y and y + 1 = 0

A:

Q: Find the area bounded by y = x³ and y = x² + 2x on x € [-1, 1]. Submit your answer in fractional…

A:

Q: 11 Find the area of the region bounded by y = x² + 2x – 1, y = + x x = -3, x = 1. 2

A: Area between curves

Q: 2. Find the area bounded by the curves y = x² - 2x + 2 and y = - x+ 2. (0, 2) (1, 1)

A:

Q: Find the area bounded by x2 – 6x + y = 0 and y = x.

A:

Q: Зл Determine the area bounded by x=0, x = y = cos x . 2

A: It is given that, y=cosx, x=0 , x=3π2 We have to find the bounded area.

Q: 7. Determine the area of the region bounded by y y = x+2 3 (x + 2)2,x = -.x = 1.

A:

Q: Evaluate the area between x = y2 - 4y and x = 2y - y2.

A: Consider the given function as x=y2-4y and x=2y-y2

Q: The area is bounded by y = x², y=x+2 and x = 0

A: Given: The area bounded by y=x2, y=x+2, and x=0.

Q: B. Find the area bounded by y = x2 – 2x – 3 and y = x + 1. | -

A:

Q: ii) area bounded by x = 1, y = 1, x = 3, y = 3, and x + y = 5 equal to %3D

A:

Q: 3. xy = a², y = 0, x = a, x = 2a.

A:

Q: 2. Find the area bounded between the curves: y = x², y = 4 – 3x, and x = 2 %3D

A:

Q: 2. Find the area of the region bounded by x = y² - 4 and x = 3y.

A: Given query is to find the area of the region bounded by x=y2-4 and x=3y. The rule for integration…

Q: Solve for the area bounded by the graphs of y = √√√x + 2, y = x + 2, x = 2, x = 4

A: Graph:

Q: 3. Find the area bounded by y = x2 – 2x – 3 and y = x+ 1.

A: Calculus   -  area between two curves .

Q: 1. Find the area bounded by y = (1 – x²)´ and y = 0.

A: The region bounded by the graph is as shown below The area of the bounded region y = f(x) from x= a…

Q: Find the area bounded by y = æ³ – 8, y = 0 and x 0.

A:

Q: Find the area bounded by x2 − 6x+ y = 0 and x2 − 2x − y = 0.

A:

Q: Find the area bounded by y=2; y= √x + 2; y= 2 - x

A: Given: The curves   y=2, y=x+2 , y=2-x

Q: Y = 4 - x2, and 2y = 4 - x2

A:

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.