Sketch the region enclosed by the given curves. Decide whether to integrat and label its height and width. (Do this on paper. Your instructor may ask y y = x? - x, y = x +3 Then find the area S of the region

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

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 VI – 49x2 NOTE: Enter the exact…

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Q: Sketch the region enclosed by the curves and find its area. 1 y : V1 – x²' y = 2 NOTE: Enter the…

A: Intersection points:y=22=11-x21-x2=14x2=34x=±32(±32, 2)

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

A: answer is in next  step

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

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 √1-25x² Y NOTE: Enter the exact…

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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: Sketch the region bounded by the graphs of the equations and find the area of the region.

A: given,

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 curves and find its area. 1 Y = 2 V1 – 25x²' NOTE: Enter the exact…

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Q: Sketch the region enclosed by the given curves andfind its area.    y =  e x   ,  y = x e x     , x…

A: The given graph is shown below,

Q: Sketch the region enclosed by the given curves. y = 2/x, y = 8x, y = x > 0 y y 6F 5 3 4 3 y 6F 5 3 4…

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Q: Sketch the region enclosed by the curves y = x? – 1 and y =1+x. Hence find its area.

A: We will find out the required value.

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 given curves.  y=2cos(3x), y=2sin(6x), x=0, x=π/6

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

A: y  = 1/x y =x     y =1/4x and x>0 Formula: Area enclosed between the curves y=f(x) and y=g(x) on…

Q: Sketch the region enclosed by the given curves. y = Vx- 4, x- y = 4 2 3 4 5 2 3 1 2 3 5 6 1 3 5 6 -2…

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Q: Sketch the region enclosed by the given curves andfind its area. y = x2 ,y = 4x - x2

A: Let us find the point of intersection by equating the two curves  x2=4x-x2 x2+x2-4x=0 2x2-4x=0…

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

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Q: 3. Sketch the region enclosed by the curves y=-x +3x and y = x. Hence, find the area of the region.

A: We have to find the area

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

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Q: Sketch the region enclosed by the curves and find its area. у %3D х, у %3D Зх, у %3D —х + 4 AREA 1

A: Consider the given question,Draw the graph by using the given line, y = x, y = 3x and y = -x + 4

Q: Sketch the region enclosed by the curves and find its area. 1 Vī 1 – x² y = 2 NOTE: Enter the exact…

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Q: Sketch the region enclosed by the curves/lines x = y, y =1/x, x = 3 and find its area.

A: given,         x=yy=1/xx=3

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

A: Let's find.

Q: Sketch the region enclosed by the curves and find its area. 1 y = /1 – x² y = 2 NOTE: Enter the…

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Q: Sketch and find the area of the region that lies inside the curve r = 4 + 3cose .

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Q: Sketch the region bounded by the given curves, then find the area of the region. 25 y = 5 x = 2, y =…

A: We have to find the area between the two curves.

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

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

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

A: Given: 2y=5x ; y=4 ; 2y+3x=8 We know that, the graphical transformation; The transformation y=afx…

Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 VI– 9x2 NOTE: Enter the cxact…

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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: Sketch the region enclosed by the curves and find its area. 1 y = 2 VI- x2 NOTE: Enter the exact…

A: Solution

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

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Q: Sketch the region enclosed by the given curves. Find the area of the region. y=radicalx, y=x^2,…

A: The region bounded by y=radical x=x, y=x2 and x=2

Q: Sketch the region enclosed by the curves and find its area. 1 √1-9x2¹ Y=2 NOTE: Enter the exact…

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 V1 – 49x² NOTE: Enter the exact…

A: Given : y = 1/√(1 - 49x²) and y = 2

Q: 3 = 2y and a – 15 = (y – 6)², and compute its area. Sketch the region enclosed by the curves – A =

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Q: Sketch the region enclosed by the curves and find its area. 3 x = 0, y = 1, y = e3 - = x %3D %3D…

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

A: Given: y=x2 and y=4x-x2

Q: Sketch the region enclosed by the given curves andfind its area. y = 12- x 2   , y = x2 - 6

A: Given curves are y=12-x2y=x2-6

Q: Sketch the region enclosed by the given curves. approximating rectangle. 3+ x y = 1 + 2/x, y = 3)

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Q: Sketch the region enclosed by the curves and find its area. 1 y = y = 2 VI– 9x2* NOTE: Enter the…

A: Calculation of Area

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: 3)   Sketch the region enclosed by the curves x =y 3 ,  y= sqrt(2-x), and y=0 Find its area

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Q: Sketch the region enclosed by the curves and find its area. 1 y = V1 – 81x² y = 2 NOTE: Enter the…

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

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: Sketch the region bounded by the given curves, then find the area of the region. 25 y = 23. y = x =…

A: Formula:    Area=∫abf(x)-g(x)dx We have, f(x)=25x3, g(x)=5x2, a=2, b=12

Q: Sketch the region bounded by the given curves, then find its area. y = x2 - 3x, y = x

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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.