21. xy dA; Ris the region enclosed by y= .y 6-x, %3D and y 0.

Q: Compute volume under the surface x+ 2y2 above the region described by 0sxs1 and 0sysx?, shown below.…

A: Given that surface is x+2y2 and region is described by 0≤x≤1 and 0≤y≤x2. It is required to find the…

Q: 2/ determine the area of the region enclosed between the curves x= 0sy'-3 and y=x-1? ans/ 18

A: Please see the explanation below

Q: (4) Evaluate S SR e™y-2dA where R is the region enclosed by y = 4x, y = }, y = ± and y = 1.

A: Let's find.

Q: Calculate ff 4y dydx, Where R is a region bounded by y=x* and y= - 3x2 - 2 R.

A: The given integral: I=∬R4y dy dx Where I is the integral, R is the region. The region R bounded by,…

Q: 15 - Which of the following is the volume of the object that occurs when the region bound by the y =…

A: We first sketch the region using a graphing calculator  The shaded region is rotating about the y…

Q: Determine the area of the region between the following curve. x = |y| and 2x = −y^2 + 2

A: Given that, x = |y| and 2x = −y2 + 2

Q: 3) Find the area of the region enclosed by the curves: y =x, and y = 2x – x

A: For the given curves  y = x2 and y = 2x-x2  Area of the region enclosed by the above curves are…

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

A:

Q: What is the area of the region enclosed by the curves y=e^x, y=x^2-1 and the lines x=-1 and x=1?

A:

Q: 1- Find the area of the region enclosed by the line y=4x and the curve y=x'+ 3x'.

A: According to our guidelines we can answer only first question and rest can be reposted.

Q: Compute the area of the region R enclosed by the curves y = 4 – x² and y = x – 2.

A: The solution is given below:

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

A:

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: Determine the area of the region bounded by y = xvx2 + 1, y = 1 e 2x, x = -3 and the y-axis. %D

A:

Q: ex The region bounded by the paroholm y =2, r the line y=1 in Hhe first quadrant bout the lin x=2 to…

A: .

Q: 2/ determine the area of the region enclosed between the curves x= 0.5y-3 and y=x-1? ans/ 18 10 4.…

A: Consider R be the required region or shaded region

Q: 3 Reverse the or der of intagration and do not evaluate. xp hp 0, 3.3 Show the region.

A: To reverse the order of integration and do not evaluate.∫01∫x11y3+8 dy dx

Q: 3. Find the area of the region bounded by the curves y = 1 (x+1)2/ the x-axis using vertical strip.…

A: Solution :

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

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

Q: he region bounded by x2 + y2 = 4?, 4y = -5x and 13y = 6x where y 2 0. Leave your answer correct…

A:

Q: 3 Find the area Of the indicated region. between y=X and y= x2For x 'in

A:

Q: 12 - Which of the following is the volume of the object that occurs when the region bound by the…

A: We sketch the region using a graphing calculator  The shaded region is rotating about the y axis

Q: 4. ) Compute the area of the region enclosed by the lines y = x and y = x and the curve x = 10 –…

A: Use double integral to solve this problem.

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: Find the area of the region between y = 3x2 + 12 and y = 4x + 4 over [-3, 3] (Figure 12). y = 3r +…

A:

Q: 5. Just describe the region bounded by y = 0, y = 4vx, y = 24 – 2x, y = x – 4 using horizontal and…

A: Given curve are y=0, y=4x, y=24−2x and y=x−4. We have describe the region bounded by y=0, y=4x,…

Q: 12 - Which of the following is the volume of the object that occurs when the region bound by the xy…

A: We sketch the region using a graphing calculator  The shaded region rotates around the y axis

Q: Find the area of the region enclosed by curves x=4y^2 ,x=0, and y =2

A: we have to find area of the region

Q: y = ; y = -x², x = 1, x = 2

A: Area between curves

Q: Find the area of the region enclosed by x = y and x = Vy– 6.

A: The graph is shown below:

Q: 2 the area bounded by y = x , y = x is

A:

Q: What is the area of the region enclosed by the curve y=e^x and the lines x=-1 and y=3?

A:

Q: 5. Just describe the region bounded by y = 0, y = 4vx, y= 24 – 2x, y = x – 4 using horizontal and…

A:

Q: 4. Ris the planar region whose area can be evaluated by: L,(x+ v2 – x) dx + S 2V2 – x dx. -

A: Given that, The area can be evaluated by, A=∫-21(x+2-x)dx + 2∫122-x dx We have to find the area.

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

A:

Q: 4. Find the area bounded by the curve r = 3y – y? and the line y + x 3.

A:

Q: problem in photo attached

A: Given:

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

A: Given the region is y=8x,y=2x,x=4 Graph is given below

Q: 3. Find the area of the region between the curves y = Vx and y =x2.

A:

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…

A:

Q: 5) Calculate the area of the region between the curves: y=2-x² and y=x²

A:

Q: 1. yA 2. y=Vx (1, 1) x=4 s y=D1/x²

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Sketch the region. s= {(x, y)\x 2 -2, 0sys se2 y 14 12 600 10 8 400 4 200 O-2 4 6 8 10 2 4 8 10 y y…

A: Given information: The area is bounded by the region S=x,y|x≥2,0≤y≤5e-x2. Graph: Draw the graph of…

Q: 5) Calculate the area of the region between the curves: y = 2 = x² and y = x²

A: We can find the area as below.

Q: 23. Find the volume of the solid formed by the region in the first quadrant bounded by: x = y-y3, x…

A: Consider the graph:

Q: = 2. Find the area of the region enclosed by the curves Vx and y = x² between x = 1 and x =

A: Given curves x2 and √x To find the area of the region enclosed by the curves between x= 1 and x=2.

Q: define the region bounded by y = 0, y = 4√x, y = 24 − 2x, and y = x − 4 using vertical and…

A: Given curves are y=0, y=4x, y=24-2x and y=x-4. We have to define the region bounded by the given…

Q: Calculate S (2x + y) dxdy, Where R is a region bounded x=y"-1,x=3,y=-1 and y=2 R.

A: It is Given that, x varies from y2-1 to 3 and y varies from -1 to 3. To evaluate the integral,…

Q: 2. Find the area of the region between the curve, x = y² + y −6, y- axis and y=0; y = 3.

A: we need to find the area bounded by the given curves.