2. у? -8х- 8y +8%3D0 a. Find the area bounded by this curve and its latus rectum

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

A:

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

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

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

A:

Q: Find the area of the region that lies beneath the given curve.

A:

Q: Find between the porabolas the area 2 2.y= X+2 メャ 2.

A: We first sketch the region using a graphing calculator

Q: A) Calculate the area in the region in first quadrant that is limited by the curves 27 och y= 1+r²°

A: Area between the curves: The area between two curves over the interval a, b is given by, A=∫abUpper…

Q: Approximate the area under the curve y

A: Introduction: The formula of the trapezoidal to approximation is given by,…

Q: Find the area of the region enclosed between the curve x½ + y½ = aand the coordinate axes.

A:

Q: 5 y X a %|

A: The  given curves are , x=y415 , x=y17 is, The curves are : x-y415=0  , x-y17=0x=y15415        ,…

Q: Find the exact area enclosed by the curves, y=x5 - 6x3 + 4x and y = x.

A:

Q: En ampie: X =t3 15 siver y = 2t +3 Ro tote obgut y-exis. Find, the surface arear,

A: The surface area of a solid of revolution obtained by revolving a parametric curve, defined by…

Q: Consider the area formed by the curves f(x) = x² + 1, y = x°, and the y axis in the first quadrant

A: The area between the curves y=x3 and fx=x2+1 on interval 1.46557…, 2.46557…:   The area between…

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

A:

Q: Find the area between the curves.

A: Given: The curves are y =x and y =xx  .

Q: :draw and determine the area enclosed between the curve y = 7-2x and + 4.

A: we can see easily from graph

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

A:

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

A:

Q: Find the area between the curves. x = -2, x = 4, y = 3e3x, y = 2e3x + 1

A: The above question is from the application of the integration part and since the major part of…

Q: Find the area bounded by the curve y= lnx, the x– axis, the line x = e². A =1+e?

A: Use area formula

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

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

Q: Find the area enclosed by the given curves. y = 2x - x2, y = 2x - 4

A: NOTE: Refresh your page if you can't see any equations. . given functions are

Q: y = Vx and y = xvx

A:

Q: Calculate the area enclosed by the curve r = 3sin0

A: According to guidelines we should have been able to solve only first question at a time

Q: Find the area between the curves (figure(1). r+ y = 2 y= x² figure(1).

A: Please see the answer in steps below

Q: Find the area of the region cut from the first quadrant by the curve x^(1/2) + y^(1/2) = a^(1/2).

A: Sketch the graph x^(1/2) + y^(1/2) = a^(1/2) in first quadrant roughlyx goes from 0 to a y also goes…

Q: Find the area between the curves.  y = |9x|  ,  y= x^2 - 10

A: First we graph the functions. They cut at (-10,90) and (10,90)Area from x=-10 to x=0 is equal to the…

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

A: y = x4/3, y = 2x1/3

Q: Where is the sketch of the area?

A:

Q: Find the area enclosed in a curve r=20sin20.

A: Let's find.

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 lying between the parabola y=4x - x^2 and the line y = x.

A: The given curves are y=4x-x2 and y=x. To find the area between the curves we will firstly plot these…

Q: Find the area enclosed between the x-axis and the curve y = (x+ 3)²,0 < x < 1.

A:

Q: Find the area enclosed by the curve ax =y(2a– y).

A: This question is based on application of integration.

Q: Find the area between the curves.

A:

Q: 17. y = 2+ |x– 1|, y = -x+7 18

A:

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

A:

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

A:

Q: Find the area between the cuo ves CUrres y=8-x² and y= -2

A: Given curve

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 x=y^2/2 and y=x-4

A: First we draw the curves using graphing calculator.

Q: 4. Find the area enclosed by the curve: x=t2 – 2t, y= vt and the y-axis

A:

Q: the total area between the curve y = x3 and y=x is 0 Select one: O True O False

A: The total area between the curve y=x3 and y=x

Q: Determine the area bounded by the parabola y = x^2, the line y = 6-x, and the x-axis

A:

Q: . Find the area between the curves y =x+1 and y=2x+1

A:

Q: find the area baunded by the curves linest ytAx-8 =0 and y=x

A:

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

A:

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

A: Solution )

Q: Find the area delimited by the curve y = x, y = 1/2 , the x and x axes = 2.

A: Answer

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.