Sketch the region bounded by the graphs of the equations. Sketch a representative rectangle. y = Vx-1. !,y = x - 1; the line x = 4

Q: Sketch the region bounded by the graphs of the equations f(y) = y2 + 1,        g( y) = 0, y = −1, y…

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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: Find the areas of the regions enclosed by the lines and curves x + y2 = 0 and x + 3y2 = 2

A: Consider the curves ,x+y2=0 and x+3y2=2To calculate the area of the region enclosed by the given…

Q: Find the region bounded by the graphs of the equations : りミメき,リ:タx

A: Let's find.

Q: Sketch the region bounded by the graphs of the equations and find the area of the region    y= csc…

A: Given y = csc(x), y=2, π/6 ≤ x ≤ 5π/6

Q: у%3D 2х — х", у%3D 2х — 4х -

A:

Q: Find the areas of the regions enclosed by the two curves y = x - 6 and y = 3.

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Q: Find b such that the line y = b divides the region bounded by the graphs of the y = 9 − |x| and y =…

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Q: Find the area of the region bounded by the graphs of the equations: x = 4 – y? x = y – 2

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Q: Sketch the region enclosed by the given curves. 3 y = - y = 12x, y = x, x > 0

A: The sketch of the given region is:

Q: Sketch the region enclosed by the given curves. y = 14 - x2, y = x2 - 4

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = , y =…

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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: Sketch the region enclosed by the given curves. x = 7y2, x = 4 + 6y2

A: Here, We will use the concept of tracing the simple curve, and method of double integral to find the…

Q: 2. Find the length of curve of shaded region in the shape. y = x2 2.

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Q: Find the areas of the regions enclosed by the lines and curves x - y2 = 0 and x + 2y2 = 3

A: Given Data The first equation of the region is x-y2=0. The second equation of the region is x+2y2=3.…

Q: Draw the region bounded by the curves. y = 5 − 1/2 x, x = 0, and y = 0

A: Consider the curves  y=5−12x x = 0y = 0

Q: y=x2 -4x and y=2x -x2

A: y=x2-4x and y=2x-x2 Now, draw the graph of both the curve on the same coordinate system. From the…

Q: Sketch the region enclosed by the given curves, y = 3x² and y = x² + 4. Find the area of the region.

A: Given curves are y=3x2 and y=x2+4.

Q: Find the area of the region bounded by the graphs of the equations

A: Given: y=x1+ex2, y=0,  x=2

Q: Find the areas of the regions enclosed by the curves x3 - y = 0 and 3x2 - y = 4

A: The given curves are x3-y=0   and  3x2-y=4. Rewrite the above equations as  y=x3  and  y=3x2-4. Now…

Q: Find the areas of the regions enclosed by the curves and lines y2 = 4x, y = 4x - 2

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find the area of the region bounded by the graphs of the equations y=1+°x y=0,x=0,^x=8

A:

Q: Determine the area of the given region. The region bounded by y = 2x2 - 6x + 5 and y = 1

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Q: Sketch the region enclosed by the given curves. 4x y = 1+ x2 4x2 y = 1+ x3 y

A: Given area can be given as below :

Q: y = xe¯,y = x + 1, x = 2, and the y-axis.

A: lets plot the graph of the given functions

Q: Sketch the region enclosed by the given curves. x = 7y2, x = 5 + 2y2

A: The region is enclosed by the curves x=7y2 ; x=5+2y2

Q: Sketch the region enclosed by the given curves. y= 13x1, y = x² - 4 y 15 15 10 10 -2 -1 -4 Find the…

A: Given that, y = l3xl    and    y = x2-4 we have to sketch the enclosed region and also find the…

Q: Sketch the region bounded by the graphs of y%3= 1 and y=D4-3x, then find its area.

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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 A = {(x,y)|(ys3*)^(y2x²)} .

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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 = 14 - x2, y = x2 - 4 y y 15 5| 10 -6 -2 2 4 -10…

A: we have, y=14-x2,y=x2-4 region between two curves will be :

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

A:

Q: Sketch the region enclosed by the given curves. y = 14 - x2, y = x2 – 4 y y 15| 5- 10 -6 -4 -2 2 5…

A: Given Data: Function 1: y=14-x2 ......1 Function 2: y=x2-4 ......2 For x=0, Substitute 0 for x in…

Q: Find the area of the region enclosed by the curves y = | x²- 4 | and y = 4 + x² / 2

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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. y = ex, y = x2 – 4, x= -2, x = 2

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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 given curves. y = 14x|, y = x2 - 5 y 15

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Q: Find the area of the region enclosed by the curves defined by  y=x2-2x-2 and y-x+8

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Q: Sketch the region bounded by the graphs of the equations f(y) = y2,           g(y) = y + 2  and find…

A: Consider the provided equations,  fy=y2   and   gy=y+2 Sketch the region bounded by the graphs of…

Q: Find the region bounded by y=2sqrt(x-1), the x-axis, the line x=5 and the line x=17.

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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>0 First, we will make a table for each…

Q: Sketch the region enclosed by the given curves. 1 у %3 2/х, у 3 8х, у %3D —х, 2 x > 0 y 5 4

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = y =…

A: To sketch and find the area of the region bounded by the below equations. y=1x2y=0x=1x=5

Q: Sketch the region enclosed by y 4x and y 9x2. Find the areą of the region. =

A: l

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

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Q: The region shown below is bounded by the curve y = 2x3 and the lines x = 8 and y = 3.

A: Given y=2x13 and lines x=8 and y=3. ax=y38when x=8⇒y=4 when y=3 ⇒x=278 By washer method,…

Q: Find the area of the region bounded by the graphs of the given equations. y = 1-x, y = 1-4x

A: Given: Equations: y = 1-x2, y = 1-4x To Find: Area of the region bounded by the graph of the given…