Sketch the region bounded by the given curve. Then find the area of the region. x+y=1, y=2/5x-2, y=-3/5x+3

Q: Find the area of the region under the given curve from 1 to 2. 5 y = X° + 4x

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Q: In this item, sketch the region enclosed by the given curves. Then find the area of its region. 1.…

A: We need to find area.

Q: Find the area of the region bounded by the curve y2= 4x and the lines x = 1 and x = 4. O 21/2 square…

A: Here is the solution

Q: Find the area of a region bounded by the curves y=x3, y= 2ex , x=0, and x=1

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Q: Sketch the region bounded by the curves 4x2 + y = 28 and x* – y = 4, then find the area of the…

A: Area between curves

Q: 2 ア=x,y=2r

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Q: Sketch the region enclosed by the given curves. y = Vx. y =x, x = 25

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Q: find the area of the region enclosed by the curves y=x^2-2 and y=2

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Q: a) Sketch the region enclosed by the curves y = 12 – x², y = x² – 20. - - b) Find the area of the…

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Q: Sketch the region enclosed by the given curves. y = 17xl, y = x2 - 8 y 40 4아 20 20 ma x -20 -40 50…

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Q: Sketch the region enclosed by the given curves. y = Vx, y = x, X = 25

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Q: Find the area of the region enclosed by the line y=4 and the curves y=e^x and y=(x-1)^2

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Q: Find the area of the region bounded by the three curves y = x², x = y³, and x + y = 2.

A: It is given that, y3=x ⇒y=x13let, y=f1(x)=x13y=x2let, y=f2(x)=x2x+y=2⇒y=2-xlet, y=f3(x)=2-x   Area…

Q: Sketch the region bounded by the given curves, then find its area. 1. y = x², y = 2x

A:

Q: Find the area of the region bounded by the given curves. y = √x,  y= -3√x.  y= x- 2

A: It is given,Function 1: y= -3x1  OR x1 = y29                        (1)Function 2: y= x2- 2   OR x2…

Q: Sketch the region enclosed by the curves y=2x, y=〖2x〗^2+x-3, then find its area.

A: The two curves are :                                    y=2xy=4x2+x-3 To determine:…

Q: Find the area of the region between the curves (x = y² ) and (x = y + 2 ) in the first quadrant.

A: The formula to find the area under the region between the curves is Area=∫y=ay=b[f1(y)-f2(y)]dy.…

Q: Find the area of the region enclosed by the curves x + y: = 0 and x + 2y = 1.

A: Let's find.

Q: Sketch the region enclosed by the given curves. x = 6y?, x = 1 + 5y?

A: To sketch the region enclosed the given curves:- x = 6y2x = 1+5y2

Q: Sketch the region enclosed by the curves x = y² + 2 and x 6 and find its area.

A: Given curve

Q: Sketch the region enclosed by the given curves. y = 19x|, y = x² – 10

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Q: Sketch the region bounded by the given curve. Then find the area of the region. y^2=x+1, y=x-1

A: Given curves are y2=x+1 and y=x-1. Draw the given curve and obtain the point of intersection.

Q: Sketch the region enclosed by the given curves and find its area. y = x²,y = 4x – x²

A: Given y=x2 ,y=4x-x2

Q: Sketch the region enclosed by the given curves. x - 6y, x- 20 + y2 VAVA -3 -2 -1 2 -10 15 -25 -15…

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Q: a) Find the area of region enclosed by the two curves y = Vx +1 and y= /2x

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Find the area of the region R enclosed by the curves y = x3 and y = x3

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Q: Sketch the region enclosed by the given curves. x = 5y2, x = 16 + y? y y 3 -3 -2 -1 1 2 2 - 10 10 15…

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Q: Find the area of the region R enclosed by the curves y = x2 – 2x and the х — ахis.

A: Given: y=x2-2x

Q: Find the area of the region bounded by the given curves. y= x2, y = 4x - x2

A: The given curves are,   y= x2,  y = 4x - x2

Q: Sketch the region enclosed by the given curves. Then find the area of the region. y=x2 , y2 =x

A: Given equation curve is

Q: Sketch the region enclosed by the given curves andfind its area.   y= 1/4 x2 , y = 2x2 , x + y = 3…

A: Given:                              y=14x2,y=2x2x+y=3;x≥0   Sketching the region and the curves:…

Q: Find the area of the region enclosed by the given curves. 1. y = e*, y = x² – 1, x = 0, x = 2.

A:

Q: Sketch the region enclosed by the given curves.  y = x^1/2 y=1/2x x=9

A: The graph of the function y=x12

Q: ) Sketch the region enclosed by the given curves and find its area. y = -x² +4x, y=x² – 2x

A:

Q: Find the area of the region bounded by the curve y?=4x and the lines x = 1 and x = 4.

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Q: The area of the region enclosed by the curves y = x2 - 1 and y = 1 - Ix| is

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Q: Sketch the region enclosed by the given curves. y = 3x, y = 3x

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Q: y² = x y = x³

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Q: Find the area of the region bounded by the given curves: yx = 1, y= 0 , x = 1, x= 3

A: Given: Find the area of the region bounded by the given curves: `yx=1 y=0 x=1 x=3`

Q: Find the area of the region under the curve y = 6x? + 4x + 3 from x = -1 to x = 2.

A: integration is the process of finding the anti-derivative function of the given function. The…

Q: Sketch the region enclosed by the given curves. Then find the area of the region. y = 3x?, y = x² +…

A: topic - area enclosed between the curves

Q: Find the area of the region R enclosed by the curves y = x ^3 and y = x^2

A: Ans;

Q: Sketch the region bounded by the curves x – y = 2 and x + y? = 8, and then find the area of the…

A:

Q: Sketch the region enclosed by the given curves. y = ex, y = x2 – 4, x= -2, x = 2

A:

Q: Find the area of the region bounded by the curves y = e", y = e¯, x = -2, and x = 1.

A: y=ex, y=e-x, x=-2 and x=1. The graph is,

Q: Sketch the region enclosed by the given curves and find its area. y = x², y = x*

A: By using area between the curve formula, we calculate the required area.

Q: Find the area of the region under the given curve from 1 to 2. 13 y = x + 4x

A: As we can calculate the area under the given by integrating the given function for the given…

Q: Sketch the region enclosed by the given curves. y = 15 – x2, y = x² – 3

A:

Q: Sketch the region enclosed by the curves y = xe¬x², Find the area enclosed by the given curves. `, y…

A: Given: y=xe-x2, y=x+1, x=2 for finding area enclosed by given curve and y-axis, first we draw region…

Q: Find the area of the region between the curves y=|x| and y=x^2-2

A: Proceed as shown...

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.