Find the area enclosed by the given curves. y =x, y x2 113 1_6 1의112

Q: Find the area bounded by the following curves.  x = 1/2, x = 1, y = 0, y = √ 1-x2/x

A: Given: The curves are

Q: Find the area bounded by the following curves and lines: 4y = x^2 - 2ln(x), y=0, x=1, and x=4

A: SOLUTION-

Q: Find the area between y = 2x and y = x° from x = 0 to x =7

A: Given: To find the area between the curve y=2x2 and y=x3 from x=0 to x=13   Definition: If f(x)≥g(x)…

Q: 2.) Find the area bounded by the curves y? = 4ax and x? = 4ay %3D

A: The given question has been solved in detail.

Q: Find the area bounded by the given curves and lines. 1 (2–æ)³ x = -2 х — о

A: The given curves are: y2=1(2-x)3x=-2x=0

Q: 3. Find the area bounded by the curve 2x² + 4x +y = 0 and y = 2x. Answer: 'n bs

A: Given:     curve 2x2+4x+y=0                and y=2x    2(x2+2x+1)=-y+2(1)    2(x+1)2=-(y-2)…

Q: Find the area under the graph of y = 1/x^2for x ≥ 2.

A: The equation for the curve is y=1x2Area under the graph of y=1x2 for x≥2 is A=∫2∞1x2dx   =limc-∞…

Q: Approximate the area under the curve y = x° from x = 3 to x = 6 using a Right Endpoint approximation…

A:

Q: Find the area bounded by the given curves and lines. y? (2-a) x = -2 | x = 0

A:

Q: Approximate the area under the curve y = x from x = 1 to x = 3 using a Right Endpoint approximation…

A: According to question given that y=x2 from x=1 to x=3Using a right endpoint approximation with 4…

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

A:

Q: Find the Area bounded by the given curves. y = 2x + 1 ,  y = 7 - x ,  x = 8

A:

Q: Find the area bounded by the following curves. 5 y =x°, x= - 1, x= 2, y = 0

A: Note: Since you have posted multiple questions. As per our guidelines we are supposed to solve only…

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: Find the area bounded by y = x² + 6x and the x-axis from x = -1 to x = 4.

A: Find the area

Q: Find the area enclosed by the given curves. 20) y = 2x - x2, y = 2x - 4 %3D

A: We first sketch the region using a graphing calculator

Q: Find the area enclosed by the following curves: 1- y=x²-2 , y = 2

A: As per our guidelines we are suppose to solve one question, kindly repost the remainig question as…

Q: y = x², y = 0, x = 1, and x = √5

A:

Q: 3 Find the area Of the indicated region. between y=X and y= x2For x 'in

A:

Q: FIND THE AREA BOUNDED BY THE WRVE ay THE x-AXIS AND THE UNE X- 2a.

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: Find the area under each curve over the indicated interval. [4.3] 16. y = 6 - x²; [-2, 1] 17. y = x2…

A: 16. Therefore, area  A=∫-21ydx=∫-216-x2dx=6x-x33-21=6-13--12--83=173--12+83=173+283=453=15…

Q: find the area bounded by the given curves y=8x3+7 and y=8x+7

A: Given,           The curves are y=8x3+7 and y=8x+7.

Q: Find the area bounded by the curve 2x + 4x + y – 0 and the line y + x = 0 1 1.125 1.525 1.823

A: We will find the area bounded by the curves.

Q: Enclosed by x² + 4y² = 16

A: We have to find area bounded by given curves.

Q: Find the area bounded by the given curves, axes and/or lines. 1. y2 + x – 4y = 5; y-axis

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Use the Trapezoidal Rule to approximate the area under the curve ƒ(x) = 3x² x on the interval [2,…

A:

Q: Find the area enclosed by the given curves. y = x3, y = 4x O 4 O 2 8 O 16

A: topic - area enclosed by curves

Q: Find the area bounded by the curve (p^2)=16cosθ

A: We have to find the area.

Q: 3. Find the area bounded by the curves y = x² and y = x*

A: The region is bouded by curves is given below.

Q: Find the area bounded by the curve y = 7x In(x), the x-axis, and the lines x = 1 and x = e.

A: Given:y=7xlnxlines x=1 and x=eTo find:Area A=??

Q: Approximate the area under the curve y = x² from x = 1 to x = 3 using a Right Endpoint approximation…

A:

Q: Approximate the area under the curve y=4x2+1 on the interval [0,4], using n=4 using LRAM

A: Given curve y=4x^2+1 On the interval [0,4] using n=4 sub intervals LRAM : LEFT RECTANGULAR…

Q: 6. Compute the area enclosed by the curves y = x² - 9 and y = 9-x2. Page 5

A:

Q: Compute the area bounded by the curve y = x² – 2x , the x-axis and the ordinates x = 1; = 3.

A: We have to find the area bounded by curves

Q: 2

A:

Q: y= x+2 and y = x -x

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 8. Find the area in the first quadrant bounded by x = 0 using the most y=x², y = 2-x and appropriate…

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Q: Find the area bounded by the given curves. 1) y = x³, y = 8, x = 0

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: Approximate the net signed area under the curve y = x 2 − 2x − 2 on the interval [1, 5] using 4…

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Q: Approximate the area under the curve y = x* from x 1 to æ = 3 using a Right Endpoint approximation…

A:

Q: Approximate the area under the curve y = x° from x = 3 to x = 5 using a Right Endpoint approximation…

A:

Q: Approximate the area under the curve y = x from x = 1 to x = 4 using a Right Endpoint approximation…

A:

Q: Find the area bounded by the following curves. 5 y=x", x= -2, x = 1, y= 0

A: The area bounded by the curves  y = x5 , x = -2 , x = 1 and y = 0And the area is shown below (pink…

Q: Find the area bounded by the following curves. y = 9- x2, y = 0, x = - 1, x = 2

A:

Q: 4.Determine the area bounded above by y: 5 + x² and below by y = 1 + 2x²

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

A:

Q: Find the area under the curve y 9 x over the interval [1, 5]

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Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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.