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

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

A:

Q: What is the area under the curve y = x° and above the x-axis between x = 1 and x = 3? What is the…

A: We have to use integration here.

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

A:

Q: 4. Find the area bounded by the curves y = 2x – x2 and the x-axis

A:

Q: Estimate the area under the curve y=64-x^3 between x=0 and x=4. Use four rectangles

A:

Q: Find the area of the region between the curves 4x + y^2 = 12 and x =y.

A: 4x+y2=12    and  x=y

Q: Find the area between the curve y = 4 – x² and the line y = -x + 2.

A:

Q: 26. Find the area of the region bounded by the curve y = 4x – x?, the lines x = 1 and x = 3 and the…

A:

Q: What is the area of the region bounded by the y axis with lines?

A:

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 between the curves: y = x³ – 10x? + 16x - x³ + 10x² – 16x 3 and y = -x° + 10x?

A: Consider the figure given below :

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

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 TOTAL area of the region between the curve and the x-axis.

A:

Q: Find the area between the curves y = 3 - x and y = x2 - 9: Exact value, show all work for full…

A: Given: y=3-xy=x2-9 To Find: Area between the given curves. Concept: i. If f(x) and g(x) are two…

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

A:

Q: Find the area of the region bounded by the curves y = 1 (x+6)²¹ į, y = = 4 and the x-axis using…

A: Explanation of the answer is as follows

Q: Find the area of the region bounded by the curves y = 1 (x+6)²¹ y = 4 and the x-axis using vertical…

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: Find the total area of the region between the curve and the x-axis.

A: Given curve, y=x3-4x;  -2≤x≤2Since x is a factor of the function the curve passes through origin.

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

A: Area

Q: Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given

Q: problem in photo attached

A: Given,

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

A: It is given that,  y1=x and y2=x2 Therefore,                    x2=x⇒x2-x=0⇒x(x-1)=0 ∴  x=0,1…

Q: Find the area of the region between the curves 4x + y = 12 and x Area between curves = %3D

A:

Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, 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 between the curves y = x2 - 8 and y = 4 - x.

A: Explanation of the answer is as follows

Q: Find the area enclosed by the curves x = -2, x = 3, y = 3x2 - 70, and y = 12x + 26.

A: Consider the area enclosed by the curves x = -2, x = 3, y = 3x2 - 70, and y = 12x + 26.

Q: find the area bounded by the curve y=9-x^2 and the x-axis

A:

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

A: Given curves are x = 2y2  and x + y = 1 Here we have to find the area between the curves.

Q: Find the area of the region enclosed between the curves y= 4 -x^2 and x=3 and x-axis within the…

A:

Q: Find the area between the curves y = x and y = -x

A:

Q: Find the area between the curve and the x-axis over the indicated interval. y = 25 - x2; [-5, 5|

A:

Q: : Determine the area enclosed between the curves y = x² + 1 and y = 7 - x

A: Area between two curves y=f(x) and y=g(x) between x=a and x=b is A=∫abf(x)-g(x)dx

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: Determine the area bounded by the curves Y = -x² – 18x + 88 and y = (x – 4)².

A: To determine the area bounded by the curves

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

A:

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: What is the geometric interpretation of the area of the region between two curves?

A: The area of the region bounded by the curves y=fx and y=gx between the lines x=a and x=b is shown in…

Q: Find the area of the region bounded by the curves 1 y= (x+6)²¹ y = 4 and the x-axis using vertical…

A:

Q: Find the area of the region bounded by the curves y = (x+8)2 y = 4 and the x-axis using vertical…

A:

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

A:

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

A:

Q: 2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

A:

Q: Find the area of the region bounded by the curves y = x2 – 12, from below; y= 20 – x2 from above.

A:

Q: 1/ Find the area of the region enclosed between the curves y= 2x+10 and y=4x+16 and,x=-2 and x-5?…

A: We use integral to find area bounded by curve and lines

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.