Evaluate |// e-V where E is the region between two cylinders z + = 4 and r +=9 with 1< y55 and : <0 as shown below; 3. 2

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: Find absolute extreme values of f(x,y) = 2xy² over the region R that is above the x-axis and bounded…

A: Given that f(x,y)=2xy2.

Q: 2/ determine the area of the region enclosed between the curves x= 0.5y-3 and y=x-1? ans/ 18 2. 10

A: In the question it is asked to calculate the area between two curves y=0.5y2-3; y=x-1.

Q: 1/ Find the area of the region enclosed between the curves y= 2r'+10 and y=4x+16 and ,x=-2 and x=5?…

A: The area of the region enclosed by the given curves has been obtained below.

Q: 6. Find the area of the region enclosed by the curves x = 3 - y² and x=y_+1.

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Q: 2/ determine the area of the region enclosed between the curves x= 0.5y-3 and y=x-1? ans/ 18 2. 10…

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Q: Find the area of the region bounded above by y = e x  , bounded belowby y =  x , and bounded on the…

A: Here the objective is to find the area of the region (A) that is bounded above by y = ex and bounded…

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: B. Find the area of the region bounded between the curves y = Vx + 3, y (x+ 3)/2

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Q: 12) Find the area of the region between the curve y = 22-X and the interval 0 < x < 2 on the х-ахis.

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Q: Approximate the area under the curve y-f(x) between x=0 and x=10 using the Trapezoidal Rule with n=5…

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Q: OFind the area of the region bounded by y = e* , y = e* andx=1.

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Q: Find the area of the unbounded shaded region. y = ex/5 у 2.0 1.5 1.0

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Q: Find the area of the region bounded by y = 1, y= cos x, 2n and x= 0. 3

A: Given: The region bounded by y=1, y=cos x, x=-2π3, and x=0 To find: The area of the region. Formula…

Q: 2. Determine the area of the region bounded by the curve y = x3 – x2 – 2x, and а. the x-axis

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Q: D Find the area of region bounded by the Curve y= Xe and X-axis From X=otox=4 %3D

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Q: 2. Determine the area of the region bounded by the curve y = x³ – x2 – 2x, and а. the x-axis b. the…

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Q: 2. Determine the area of the region bounded by y = e=3, y = e*, and y = 2. y

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Q: 1. Find the area of the region between the curves y=x -4 and y=2-x.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: || 2. Find the area of the region enclosed by the curves x = 2y² – y + 1 and x y² + y + 4.

A: The area between two curves is given by: Where a and b are intersection points of the curves f and…

Q: Find the area of the region bounded by the given curves. c.)   y=4x-4x2, y=0, x=1, x=3     Ans.…

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Q: 1/ Find the area of the region enclosed between the curves y= 2x+10 and y=4x+16 and ,x=-2 and x-5?…

A:

Q: Find the area of the given region y = tanh 2x

A: Given curve and figure: y = tanh 2x

Q: 5. Calculate the area of the region enclosed by the graphs of y = 2r- r and y = 0.

A: We first find where they meet Plug y=0 in y=2x-x2 and solve for x

Q: Find the area of the region enclosed by the curves y = x² and y 4.x by integrating with respect to…

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Q: 6. Find the area of the region bounded by y =1+cosx, y = 2, x=1.

A: Given curves are  y=1+cosxy=2x=π

Q: 1/ Find the area of the region enclosed between the curves y= 2r²+10 and y=4x+16 and ,x=-2 and x-5?…

A: Given          y=2x2+10    and  y= 4x+16,   x=-2 and   x=5.

Q: Find the area A of the region R between the graph of f(x) = and the x axis on the interval V4– x2…

A:

Q: Find the area of a region bounded above by the curve y =r' and below by y = 0 over the interval (0,…

A: The region is bounded above by the curve y=x3 and below by the curve y=0. Since the region is over…

Q: 27 Find the area of the region bounded by, b. The curves y=x-5x and y 25-x

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

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Q: 3/ find the area for the region in the first quadrant bounded by the curve (y = 4x - x²) and line (y…

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Q: What is the area of the region between the lines y = 6x and y = 3x from x = 1 to x = 5? Select one:…

A: Answer: the solution is as shown below:

Q: Find the area of the region enclosed between y=3sin(x) and y=3cos(x) from x=0 to x=0.6pi.

A: y=3 sinx, y=3 cosx, x=0 to 0.6π

Q: Shade the area of the region bounded by, x 2+ y2sp? and |x| + ly| 2p Hence, find the area of the…

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Q: 8 Determine the area of the region bounded by the curves y = =, y = 2x and x = 4

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Q: Find the area of the region under the given curve from 1 to 5. x2 + 8 y = 6x – x2

A: The area under a curve is the area between a curve f(x) and the x-axis on an interval [a, b] is…

Q: Find the area of the region enclosed by the curves y = x2 and y = 2x by integrating with respect to…

A: The area, A, enclosed by two curves y=f(x) and y=g(x) in the interval a, b is calculated using the…

Q: problem in photo attached

A: Given:

Q: 1/ Find the area of the region enclosed between the curves y= 2x+10 and y=4x+16 and ,x=-2 and x=-5?…

A: Area under curve

Q: 1. Find the area of the region bounded by the graphs of y = r and y = = Vx, from r = 0 to r = 2. 2

A:

Q: Find the area of the region between the graphs of y = 13 – x² and y = over the interval 3 < x < 8. –…

A: Solve by integration

Q: Find the area of the region bounded by the graphs of the given equations. v= x+2; y= x² 13 O 35 2 o…

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Q: 2. Find the area bounded between the curves: y = x², y = 4 – 3x, and x = 2 %3D

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Q: Find the area of the region enclosed by the curves yY = x2 and y 7x by integrating with respect to…

A:

Q: Find the area of the shaded region 1. 1.4 bounded above by y = 2, bounded below by y = cos(x) + 1,…

A: Given query is to find the area bounded by the curves.

Q: Q3. The region bounded by the curve y x² and the line y 3x, is revolved about the line x = -3. Find…

A: Here i use cylindrical shell method to find out volume of rotation

Q: 3. Find the area of the region bounded by the curve y = Vx – 1, the y - axis and the lines y=1 and…

A: Simplify the equation y=x-1 to obtain the expression of x. y=x-1y2=x-1x=y2+1 Draw the graphs…

Q: Find the area of the region bounded above by y = x + 6, bounded below by y = x², and bounded on the…

A: We need to calculate the intersection points of the given curves. So,…

Q: While evaluating the area of the region bounded by two curves V/y = x and y – 10x + 21 = 0, the -…

A: We will find interesting points.