II. Evaluate (x- y)dA where R is the region above the x -axis bounded by y² = 3x R and y? = 4 – x.

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: Find the area of the region bounded by the curves y = e* y² = 4x - 4 between y = 1 and y = 2. and

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Q: Find the area bounded by the curves x² = 4y + 4 and the line y =x + 2.

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Q: 4. Find the area of the shaded region by integrating with respect to 'y', y-2x-4 1.-2)

A: The area between two curves f1 and f2 between the points y=a to y =b is given by; A=∫ab(f2-f1)dy

Q: 4 Find the area of the region bounded by 2x = y² +1 and the y-axis using the horizontal strip.

A: See below attachment.

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

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Q: 3 Find the area of the region bounded by 2x = y² +1 and the y-axis using the horizontal strip.

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Q: R is the region bounded by y = 4 – x2 and the x-axis and it is revolved about y = 4.

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Q: Find the area of the region between the curves y = x² +9 and y interval [-1,3]. = 10 + 2x over the

A: Given that:                      y=x2+9y=10+2xBetween [-1, 3]   NOTE: As per our answering…

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 y = x^2 - 5x + 6, the x-axis, and the vertical lines x = O…

A: here we have .............the x-axis .............upper and lower limit (2 vertical lines)

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

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Q: The area bounded by the curve z = y.y-axis and the lines Y3D0. y32 is s

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Q: The area of the region bounded by the curves y = 3x – x² and y = 2x is 5 а. 3 O b. 32 3 С. d. 1 6.…

A: We need to find the area of region bounded by the given curves. For that, we need to find their…

Q: 3. Find f 6y(x + 6) dà where D is the region bounded by x = - -y? and x = y - 6.

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Q: Find the area of the region bounded by the curve y2-4r and the lines x = 1 and x = 4.

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Q: d the area of the region bounded by the curves y = 3x and y = x².

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

Q: /2y +6 5. Find the area of region bounded by the curves and *- y-1

A:

Q: 1. Find the area of the region bounded by y^2=8x and y=x

A: Region bounded by these two curves will be given as

Q: The area formed by the boundaries y=1, x=2, and y=e^(-x) is closest to:

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Q: 14. Find the area of the region bounded by these two curves: X = y' – 2y and x-y-4=0

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Q: Rotate the region bounded by y= x- 2x + 4 and y X+14 about the X- axis

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Q: 2. Find the area enclosed between the curves y =x² +2x +11 and y =-4x+2.

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Q: Determine the area of the region bounded by x = y² – y – 6 and 2y + 4.

A: According to the fundamental theorem of calculus ∫abf(y)dy=F(b)-F(a), where dFdx=f(x). The equation…

Q: 4.Find the area of the region bounded by the curves y = x² – 2x and y = x.

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Q: 3 Find the area of the region bounded by 2x = y²+1 and the y-axis using the horizontal strip.

A: The given region is bounded by 2x=3y2+1 and the y-axis.

Q: 3. Find the area of the region enclosed by the two curves y = x² and y = -2x² + 3x.

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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: Find the area of region bounded by the curves x= 2y+6 and x y-1.

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Q: What is the area of the region between y=x²-2x-3 and the x-axis from x=0 to x=4? H

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Q: Find the area between the curves y = x² + 5x and y = 3– x² between a = -2 %3D and z = 0.

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Q: Find the area of the region bounded by y = Vx- 5 and x – 3y = 3. O 1 9. O 1

A: We have to find solution

Q: Evaluate where D is the region bounded by the semicircle x = /4– y² and the y-axis.

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

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Q: 8. Evaluate the integral 2y dA where R is the region between the curves y = x2 and y = x(1 – x).

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: Find the area of the region bounded by the curves y² - 4x = 5 and 4x + 3y = −1

A: We can find the area of the region between the two curves using the double integration method. We…

Q: R is the region bounded by y = x², y = 4x - x² and the line x = and it is revolved about y = 0.

A: Given regions are, y=x2y=4x-x2y=0 Now, using Washer method by the formula, V=π∫abR2-r2dx

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: 2) Find the area of the region enclosed between the two curves y = x² and y = -x? + 4х.

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Q: 2. Find the area of the region enclosed by the parabola y = 2 – x² and the line y = -x.

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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: = 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: Find the area of the region bounded by the graphs of the given equations. y= 3x+4, y=x?

A: Given, y =3x+4  and  y = x2  We have to area of region bounded by graphs of the y =3x+4 and y = x2

Q: Find the area bounded by the curve x^2=4y+4 and the line y=x+2

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Q: Evaluate [ sin (3x +3y)dA where D is the region between x +y' 1 and x+y 7.

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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.

Q: Find the area of the region enclosed by the curve y=x2-2 and by the line y BO 2. y=x²-2 y=2 Co

A: The equation of the curve is:                                            y=x2-2  The equation of the…