Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. y = x2 - 4x, y = 2x + 7

Q: Sketch the region enclosed by y=4x and y=3x^2. Decide whether to integrate with respect to x or y,…

A: The solution of the problem is given in the next steps.

Q: 31. y = x', y= 2 – |x|

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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 centroid of the region bounded by the graphs of 343 y = x, x = and y = 14. y? * NOTE: Enter…

A: We have to find centroid of given bounded region.

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: Find the area of the region bounded by the given curves: y = x² y = 4x – 22

A: Given: y=x2, y=4x-x2 For finding area of region bounded by given curves, we draw graph of both…

Q: Sketch the region enclosed by the given curves. y = Vx, y =x, 0 SxS9 2 8

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

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

A: To find the area of enclosed region of the given curves, first we find the intersecting points of…

Q: Example: Sketch the region enclosed by the given curves and find its area. y = V2x, y= =a², 0< x < 6

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Q: sketch the region enclosed by the given curves  y= ∛5x,y=1/5 x

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Q: Sketch the region enclosed by the given curves. y = |8x|, y = x2 − 9 WebAssign Plot

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Q: Sketch the region enclosed by the given curves. y = |2x|, y = x² - 3 y y 8 8 6 6 4 4 2 2 X -4 2 -4…

A: Let's find.

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 centroid of the region bounded by the graphs y = x² and y = x + 30. NOTE: Enter the exact…

A: We know the expression for the centroid; x=1A∬xdydx &amp; y=1A∬ydydx Where; Area=A=∬dydx or ∬dxdy…

Q: Sketch the region enclosed by the given curves and calculate its area. y= square root of x, y=0, x=4

A: Given,

Q: Sketch the region enclosed by y=e^4x,  y=e^6x, and x=1 Find the area of the region

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

A: Given,            The equation of the curves are y=x2 and y=2x.To find : Find its 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: 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 following curves and find its area. y = x^2, y = 4x -x^2

A:

Q: Find the area of the region bounded by the given curves.  y=x^2-4x, y=3x+8

A: Let the curves be: The area between curves f(x) and g(x) on an interval [a,b] is given by: Where,…

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

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: y =x.y = x, x> 0 1 1 y : X у —х, у — —х, х > 0 4

A: we need to use integration to find area between curves

Q: The area formed by the boundaries y=1, x=2, and y=e^(-x) is closest to:

A:

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: 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: Sketch the region enclosed by the given curves and find its area: y = (x – 3)2, y = x + 3.

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Q: Sketch the region enclosed by the given curves and find its area. у — y = 1/x, у — х, у—x, х>0

A: The given curve is: y=1xy=xy=14xx&gt;0  Sketch the region enclosed by the given curves and find its…

Q: Find the area enclosed by the given curves. y = 2x-x2,y 2x-4 31

A: Explanation of the answer is as follows

Q: Sketch the region enclosed by the given curves andfind its area.   y = |x| ,    y = x2- 2

A: Given curve  y=x2-2 and y=x When the value of x&lt;0 then, y=-x and and when x&gt;0 then y=0. Solve…

Q: 3. Find the area of the region enclosed by the two curves y = x² and y = -2x² + 3x.

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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 andfind its area.       y =|x|     , y =  x2 -2

A: Definition used -      Area between two curves -       If two curves f(x) and g(x) are…

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

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Q: Find the area of the region bounded by the given curves. y = 2ax, y = 2ал*, а > 0

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Q: Find the area of the region enclosed by the given curves. y = 13-x2, y=x2-5

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

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Q: Sketch the region enclosed by the given curves. y = 12 – x2, y = x² – 6 y 5

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

A: The area of the region is calculated using the formula where a and b are the points where the 2…

Q: Sketch the region enclosed by the given curves. y =2 y= 8x, y= 극x, x > 0 y 5 4 3 2 1 -1. 1 3 2.

A: Given: y=2x, y=8x, y=x2, x&gt;0

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

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Q: Sketch the region enclosed by the given curves. x = 7y?, x = 3 + 4y2 y 가

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Q: Find the area of the region enclosed by the curves y=x-4x and y =-2x.

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Q: Find the enclosed area by the curve with equation y = x² - 9 and the X-axis in the region [−1, 2] 24…

A: In this question, we want to evaluate the area of the region enclosed by the curves y=x2-9 and X-…

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: Sketch the region enclosed by the curves and find its area. y = |x – 2|, x – 5y + 10 = 0

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Q: Sketch the region enclosed by the given curves. y = 4/x, y = 16x, y = x, x > 0 16

A: We have the following equation   y=4xy=16xy=116xWhere x&gt;0 First, we will make a table for each…

Q: Sketch the region enclosed by y=4x and y=2x^2. Decide whether to integrate with respect to x or y,…

A: The equation of curves are : y=4x and y=2x2

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

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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.