Find the area between the two Curves- y=x, a°y = x³ 3,

Q: The area bounded by the curve y 4x and the lines r = 6 ,x = 10 and a axis is

A: As per guildlines we can solve one question at a time. If you want answer of all please ask them…

Q: The area of the region bounded by the two curves y = x²and y 25 is Square Units

A:

Q: Find the area between the two Curves- Ai y= x²+ 2x, X-2y=1

A: Given: y=x2+2xx-2y=1 To Find: The area between the given two curves.

Q: Find the area of the region bounded by the parabola y=5x^2, the tangent line to the parabola is at…

A:

Q: Find the area between the curves y=3/x, y=12x, y=1/3x, x>0

A: We have to find the area between the curves y=3/x, y=12x, y=1/3x, x>0So, first of all we need to…

Q: Find the area bounded by the given curves. y = 3x2 and y = 27…

A: Given:

Q: Find the Moment of Inertia for the area bounded by the parabola x2 + y = 1 and the coordinate axes…

A: Graph of the given equation: x2+y=1 Since we have to find the moment only  for the 1st quadrant…

Q: Find the area between the curves. x = 1, x = 2, y = 3x3 + 2, y = 0

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Q: The area of the region bounded by the two curves y = x and y = 64 is Square Units

A:

Q: Find the area of the curve bounded by the curves y=x* and y=3x+4.

A: We have to find th: e area of the curve bounded by the curves y=x4 and y=3x2+4.…

Q: The area of the region bounded by the two curves y = x“ and y = 4 is

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Q: Find the area between the two curves on [2,3]. y = ex y = (1/x)

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Q: Find the area in the first quadrant bounded by the curve y = 3x – x, the lines x = y = 2. 0 and

A: To find the area of the region bounded by the curve we use the formula Area=∫abf(x)-g(x)…

Q: The area of the region bounded by the two curves y = r and y = 4 is Square Units

A: Given: y=x2y=4

Q: Find the area enclosed between the curve y = 9 - x squared and line y = x + 7

A: This question is based on application of integration.

Q: Find the area of the region cut from the first quadrant by the curve x1/2 + y1/2 = a1/2.

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Q: Find the area in the first quadrant bounded by y=3x, y=0 and y=4 by integrating with respect to y.

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Q: Find the area between the curve y = sin 2x and y = x^2

A: the area is 4/5

Q: Find the area under one arch of the cycloid x = a(t-sint) , y = a(1-cost)

A: Introduction: A cycloid is a two-dimensional curve that is constructed with half circles. One arc of…

Q: Find the area of the region enclosed between the curves defined by the equations y = Vx +2 ,y = x ,…

A: Solve the following

Q: find the area between the curves y=sqrt(x) , y = 1x/2 , x = 25

A: Given:

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

A:

Q: Find the moment of inertia of the area bounded by the curve x2=4y, the line y=1 and the y-axis on…

A:

Q: Find the Moment of Inertia for the area bounded by the parabola x + y = 1 and the coordinate axes in…

A: Solution :-

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

A: The region bounded by the given curves in first quadrant. The curves can be used to find the limits…

Q: Find the area between the curve y = sin x and the line segment joining the points (0, 0) and (5π/6,…

A: Consider: y=sin x and line joining the points 0,0 and 5π6,12. Find the area between them.   First…

Q: y = Vx and y = xvx

A:

Q: Find the surface area generated by revolving about the y-axis that part of the curve y = In x lying…

A: Solution We have to find the Surface area generated by revolving about the y-axis the part of curve…

Q: The area of the region bounded by the two curves y = x² and y =4 is

A:

Q: Two curves having an equation of 2y² and y = 2x² x = intersect each other. Compute the area between…

A: A detailed solution is given below.

Q: Find the area between the curves. y = x4/3, y = 2x1/3

A: y = x4/3, y = 2x1/3

Q: the

A: Given curve y^=x and y=√x  Line x-4=0   Find area ?

Q: Find the area lying between the parabola y = 4x – x² and the line y = x -

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Q: Find the distance of the centerof gravity of the area on the first quadrant region bounded by the…

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Q: What is the area of the region enclosed by the curve y=e^x and the lines x=-1 and y=3?

A:

Q: find the area between the two curvesx=2-y^2x=y^4

A: Given thatx = 2-y2         ...(1)x = y4            ...(2)

Q: Find the area between the curves y = and y 3x +2. %3D

A:

Q: Find the area enclosed between the two curves y=4-x^2 and y=x^2-2x.

A:

Q: Find the area between the curve y = sec (4x) and the line joining the points (-,2) and (. 2).

A: Consider the given information: To find the area between the curve and the line joining the points.

Q: Find the area in the first quadrant bounded by the coordinate axes Va + Vỹ = 1 and the parabolic arc

A: Topic:- integration

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

A: Given data is : y=4x-3     .....1 y=x2      .....2 From equation (1) and (2) ,…

Q: Find the moment of inertia with respect to the y-axis of the area bounded by the curve y=1-x3 and…

A:

Q: Find the area between the two curves y = 3 y = x² – 1 1+ x2'

A:

Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

A:

Q: Find the moment of inertia of the area bounded by the curve x^2=4y, the line y=1 and the y-axis on…

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Q: Find the area between the curve y = cos (2x) and the line joining the points (,0) and (등, 글).

A: Integrals and derivatives are considered as the inverses of each other. For example if we have a…

Q: Find the area in the first quadrant bounded by the curve y = 2x^2 the y - axis, and y = 3

A: we have to find area in the first quadrant bounded by the curves…

Q: The area of the region bounded by the two curves y = x² and y = 9 is Square Units

A: Draw the both curve than find their intersection points and integrate in that interval.

Q: What is the area between the curves y^2 = 3x and y = x^3 using vertical strip?

A: Given: y2=3x y=x3 Draw the region bounded Consider a rectangular strip of length width dx.

Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

A: Intersection Points are:  The line x=1 will intersect the x-axis at (1,0) because y is 0 at…

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.