Given that R is the region bounded by the curve y = x+3 and line y= x-3. (a) Sketch the region R.

Q: Find the area of the region bounded by the line y=x, x=2 and by the curve y= (1/x2)

A: Area of the region shaded below÷

Q: find the region bounded by x= Y-y3 ,X=1 = 1 Y=L, revolved about o X- axis

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Let IR be the region in the first quadrant bounded by the curves y = x3 and y = 2x – x². Compute the…

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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 graphs of the equations and find the ar ea of the region (a) y = x³…

A: Question-(B) . NOTE: Refresh your page if you can't see any equations. . here we have…

Q: Find the number k> 0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

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Q: Sketch the region enclosed by the given curves and find its area. (a) 4x + y2 = 12, y = x (b) y = 3x…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Let R be the region bounded by y = 5 sin(x , y = 5(x – 2)²,

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Q: The lower, upper limit in the evaluation of the area of the region bounded by the two curves 2 y =…

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Q: Sketch and shade the region y = x² – 1, hence find the total area between the given curve and the…

A: The standard form of a parabolic function is where (h, k) is the vertex. This standard form is also…

Q: Sketch the region enclosed by the given curves. y = 6 cos(xx), y = 12x2 - 3 y 4 y 2 -1.0 -05 9.5 1.0…

A: Consider the curves  y=6cosπx,        y=12x2−3

Q: The geometric center of the region bounded by the curves 5y²-16x=0 and y²+8x=24 on the first…

A: The given answers do not match the actual answer. Please check the options.

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. 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: Sketch the region enclosed by the given curves. y = 3/x, y = 12x, 1. y = -X, 3 x >0 y y 8- 6. 6. 4 4…

A: Given curves: y=3x, y=12x, y=x3 Andx>0

Q: A solid figure is created by rotating the region R around the x-axis. R is bounded by the curve y =…

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

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Q: Find the number k > 1 such that the region bounded by the curves y = 1, y = x-2, and x = k k has…

A: Given curves are y=1 and y=x-2 and interval is x=1 to x=k

Q: Sketch the region bounded by the given curves, then find its area. y = 12 - 3x^2, y = 4 - x^2

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Q: Sketch the region enclosed by the given curves andfind its area.   x = 2y2    ,x = 4 + y 2

A: Given curves are x=2y2 and x=4+y2 Will find the intersection points of the given curves. We will…

Q: Let R be the region bounded by the curve y = x and the line y = 2x. Use inequal- ities to describe R…

A: To describe: The region R using inequalities in terms of its vertical cross-sections. Calculation:…

Q: The region R is bounded by y 4 %3D and y = x +3. -

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Q: Draw the region bounded by the curves r=√(3cosθ) and r=3sinθ and find its area.

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Q: Sketch the region bounded by the given curves, then find its area. y = 2x - x^2, y = 2x^2 - 4x

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Q: Find the aea of the region bounded by 2. given Curves

A: We have to find the area bounded by the given curves. This problem can be solved by using…

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: Sketch the region enclosed by the given curves. x = 9y?, x = 8 + 7y? y 35 21 30 25 20 5 10 15 20 25…

A: With the help of the graphing utility the area enclosed by the curve of the given equation is shown…

Q: Given that R is the region bounded by the curve y = x+3 and line y= x-3. (b) Describe the region Rby…

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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: 8. Sketch the region bounded by y = between x 1 and x = 2 then find the are of this x2+x region.

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Q: Sketch the region enclosed by the given curves. y = 3 cos(9x), y = 3 – 3 cos(9x), OSxS1/9

A: Solution is in step 2

Q: 9. Consider the region bounded by the curves y = e", y = e¬¤ and y = 2. %3D

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

A: The given curves are x+y=3 , y=2x2 and y=14x2 , x≥0. To sketch the curve and find the area. The…

Q: 3/Find the area of the region ecloseed by the curves y=cost and y=0 on the intervalL A-2

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Q: The region R is bounded by the curve with equation y = sin 2x, the x-axis and the lines TT x = 0 and…

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Q: Sketch the region enclosed by the given curves. y =- y = 8x, y = x > 0 y y 6 4 3 3 2 1 1 X 2 4 -1 3…

A: Given that the curves are      y=2/x , y=8x , y=x/8 , x>0 Here we have to sketch the region and…

Q: Let R be the region bounded by the curves y=x^2 + 1 and y= 9 - x^2. What is the area of R?

A: Follow the steps.

Q: Find a such that the line x = a divides the region bounded by the graphs of the equations into two…

A: Given,    y = x,  y = 4  and  x = 0 So the region bounded by these curves is given by shaded region…

Q: Sketch the region enclosed by the given curves. y = 4/x, y = 16x, y =x, x>0 16 y y 10| 10- 8 6. 2 4…

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Q: Sketch the region enclosed by the given curves. x = 9y2, x = 4 + 5y2 У y 1.0- 0.5 6. -0.5 o-1.0-…

A: Given curves are

Q: Using your previous work, find the region bounded by the curves y = x² and y = x³.

A: Given that, There are two curves following, y = x2  and   y = x3 We have to find the area bounded by…

Q: Sketch the region enclosed by the given curves. y = 4 cos(5x), y = 4 – 4 cos(5x), 0sxS a/5

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Q: ) Find the number k>0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

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Q: The lower, upper limit in the evaluation of the area of the region bounded by the two curves y = and…

A: Given curves are: y=x2 ............(1)y=10x-16   .........(2)

Q: Sketch the region enclosed by the given curves andfind its area.   y =cos x , y= 2- cos x  , 0 ≤ x ≤…

A: Given: The region enclosed by the curves  : y=cos(x)y=2-cos(x)           0≤x≤2π We have to sketch…

Q: Consider the region bounded by the curves y= X,y= 3-2x, and y=3 %3D

A: 1) Shaded the region :

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

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