Find the area between the following curves: y=x^2-30 and y= 10 - 3x

Q: Find the area bounded by the parabola y^2=4x and the line 2x-4. (with graph)

A:

Q: Find the area bounded by the parabola y2 − 3x + 3 = 0 and the line x = 4. With illustrations please

A:

Q: Find the area bounded by tHe curves y=8x-x and y= 3x

A:

Q: The area between the two curves in the picture is

A: GIven functions are, y1=4y2=x2The given graphs are symmetric about y axis.The points of intersection…

Q: What is the area (in square units) bounded by the curve y' =x and the line x- 4=0?

A:

Q: . Find the area bounded by the curve f(x) = (2+x)(x – 5), the lines = -2, line = 0 and the x - axis.

A:

Q: Find the area between the curves. x = -3, x = 0, y = 1 -x2, y = 0

A:

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

A:

Q: Find the area bounded by the indicated curves. y = x4 - 18x? + 81, y = 81 - x

A:

Q: Calculate the area of the segment cut from the curve y = x(3 – x) by the line y = x.

A: here we have to find the area of the region bounded by the curve and line.

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

A:

Q: Find area between the curves y=17/(9+x^2) and y=13/(1+x^2)

A:

Q: Approximate the area under the curve y with 6 subdivisions.

A:

Q: Find the area of the region bounded by the parabola y = 4x², the tangent line to this parabola at…

A:

Q: Find the area between the curves. 3x х%3 -2, х%34, у%33е3X, у%3D2е 3X +1

A:

Q: Explain in words and through Calculus how to find the area between two curves.

A:

Q: Find the area between the curves. x = -2, x = 1, y = 2x, y = x2 - 3

A: Given curves,  y = 2x y = x2 - 3 x = -2 x = 1 To find the area enclosed.

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

A:

Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis.

A:

Q: Please estimate the area under the curve c(x)=1−x3 for 0≤x≤1 using 4 rectangles with width 1/4.

A:

Q: Find the area bounded by the curves y= 5x and y = 15x.

A:

Q: By double integration, Find the area between the line y=6-2x, the x-axis and y-axis.

A:

Q: Find area enclosed by curves y=2x, y=4x^2

A: Area enclosed by two curves is the measure of the area occupied by their intersection.

Q: Find the area of the region bounded by y = 5x², y=0, x= 4, x = 6. Give your answer to the nearest…

A: Sol:- The area between curves is the area between a curve fx and a curve gx on an interval a, b…

Q: Determine the area bounded by the curve y = 2x - x^2 + 5 and the line joining the points (3,2) and…

A: Please see the explanation below

Q: Find the area between the curves -4x + y = 16 and -2x2 = -y+ 10.

A:

Q: the

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

Q: Find the total area of the region enclosed between the curves: 10x² +24x and =-x³ +10x² 24x

A: The objective is to find the area bounded between the curves.

Q: Find the area on the first quadrant bounded by the curve y = 2Vx and the lines y = 1,x = 4 and the…

A:

Q: Find the area of the region between the curves 4x + y = 12 and x = y. Area between curves

A: Solution

Q: Find the area bounded by the curve y=x3. -x2+3x and the line y=x. 16 4

A:

Q: Find the area between the curves: y=x^3−10x^2+21xx and y=−x^3+10x^2−21x

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.

A:

Q: Sketch the graph and find the area bounded by the curves for y = 2x² and y = x² + 4

A: Given query is to find the area bounded by the curves.

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

A: The given parabola is: y=2x2 The tangent line at (5,50) has the slope: mx=5=dydxx=5          =4xx=5…

Q: Find the area between the curves.    x = - 5, x = 1, y = 10 x, y= x 2 -11

A:

Q: Find the area b0 und by Curves the y3= X-3

A: The region is bounded by y=9x2-36, y=0, x=1 and x=3

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: y=9-x2 and ミ-4

A:

Q: Find the area between the curves. y=x² - 23, y = 9 – 4x

A:

Q: Estimate using right-hand endpoints, the area between the curves y=9x^2 +30 and y= 5-7x over the…

A: given :

Q: Find the area between the curves -16 = 4x- y and -10 = 2x-y.

A:

Q: Calculate the area of the area between the curves

A:

Q: Estimate the area of the region under the curve        y = -x3 + 5 and above the x-axis for…

A:

Q: = 4x y = 2x – 4

A:

Q: Find the area between the curves: y = x3 – 12x? + 20x and y = -a3 + 12x2 – 20x

A: Solution )

Q: Determine the two​ t-values that divide the area under the curve into a middle 1−α area and two…

A: Solution

Q: Calculate

A: Please refer to the image below

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.

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.