2. Find the area of the region bounded by y = VI and y = r.

Q: Sketch the region enclosed by the curves x-6=3y and x-24=(y-6)^2 and compute the area.

A:

Q: 2 ア=x,y=2r

A:

Q: 3. Find the area of the region in the first quadrant that is bounded by y=Vx , x-axis and y=x-2. |

A: 3) To find the area under the curve in first Quadrant

Q: 16. Sketch the region enclosed by y = |x| and y = x2 - 2, and find its area.

A: To evaluate the area between the following curves

Q: 4. Determine the area of the region enclosed by y = sinx, y = cosx, x= π/2, and the y-axis.

A:

Q: 3 a. y= 2x and y =8– 4x b. y= x°, y =8, and x= 0

A:

Q: Sketch and find the area of the region bounded by x = 1/2, 1 = 1, y = r² and y = 1.

A:

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

A: Topic = Area

Q: Calculate the area of the region bounded by x+y = 4, r + y = 8, x = 0, and I = 5.

A: Given:         Area of region bounded by x+y=4…

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: Give area of the region enclosed by y and y = 0 from x = 1 to x = 3. 2 A. 2 В. 3.4 С. 1.5 D. 1

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Q: Find the area of the region bounded by y ==, y: I = 2.

A:

Q: Find the area with respect to y of the region bounded by x = y² + 2 , x = 0 , y =– 1, and y = 2. |

A:

Q: 6.(. Find the area of the region enclosed by the curves y = x² +1 and y = x +3.

A: I am solving this in step 2

Q: 10. Find the area of the region bounded by y = =.y = 1, and r = 3.

A:

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 = ex,    y = e3,    x = 0

A:

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: Find the area of the region R enclosed by the parabola y = x2 and the line y = x + 2.

A: Given that y=x2          ...(1)y=x+2       ...(2)

Q: Find the area of the region bounded by y cos x, y = 1, and x =

A: Given curves are  y=cosx ,y=1 and x=π/2

Q: Find the area of the region bounded by the curves y = e", y = x e", and x = 0.

A: Given curves are y=ex, y=xex Point of intersection of the curves are evaluated as follows.…

Q: y =x.y = x, x> 0 1 1 y : X у —х, у — —х, х > 0 4

A: we need to use integration to find area between curves

Q: Sketch the region enclosed by the given curves and find its area. y = x²,y = 4x – x²

A: Given y=x2 ,y=4x-x2

Q: Sketch and find the area of the region bounded by y =ln In x, y = 1 – x and y 2.

A: Given curves, fx=y=lnlnxgx=y=1-xhx=y=2 The area bounded by the curves f(x) and g(x) is given by…

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

A: The graph is shown below:

Q: 1. Sketch the region enclosed by the given curves and find its area. y = x², y = x*

A: Answer

Q: sketch the region enclosed by the curves y=x^2 , and x=y-3 , and then find its area

A: Given: y=x2  and x=y-3

Q: Sketch the region enclosed by the curves x − 5 = 4y and x − 21 = (y – 4)², and compute its area. A

A: The given curves are; x-5=4y and x-21=y-42 Now find the point of intersection between the given…

Q: Find the area of the region R enclosed by the curves y = x2 – 2x and the х — ахis.

A: Given: y=x2-2x

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? O…

A:

Q: B- Find the area of the region bounded by y -x, y? x, and circle r = 2 By used Double integral.

A: Given: y=-x and y2=x from the above the we get x2=xx2-x=0⇒x(x-1)=0⇒x=0  and x=1

Q: Find the area of the region enclosed by the given curves. 1. y = e*, y = x² – 1, x = 0, x = 2.

A:

Q: Calculate the area of the region bounded by r +y = 4, x +y = 8, x = 0, and I = 5.

A: We use the formula to find area enclosed between two curves.

Q: y² = x y = x³

A:

Q: Find the area of the region bounded by the given curves: yx = 1, y= 0 , x = 1, x= 3

A: Given: Find the area of the region bounded by the given curves: `yx=1 y=0 x=1 x=3`

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

A:

Q: 2. Find the area of the region enclosed by the curves and x, 0 < *< 2. y = y = (x2 + 1)2 4*

A:

Q: Determine the area of the region between the x-axis and the graph of the curv -1 from x- 0 to x- 4.…

A: Area bounded by curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on a,b…

Q: Graph the region bounded by the curves y = e%z z, y = 2, x = 0, and x = 2 and find the area of this…

A:

Q: Find the area of the region described in the following The region bounded by y = 24 Vx and y = 3x?

A: Given, y=24x &amp; y=3x2 To find limits of x we have, y=24x =3x2⇒24x =3x2⇒8x=x2 Now squaring on the…

Q: Find the area of the region bounded by the curves y = e", y = e¯, x = -2, and x = 1.

A: y=ex, y=e-x, x=-2 and x=1. The graph is,

Q: etch the region enclosed by y = x²y = √√x,x = 0,x = 1 and find its area.

A:

Q: Sketch the region enclosed by the given curves and find its area. y = x², y = x*

A: By using area between the curve formula, we calculate the required area.

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: 3. Find the area of the region bounded by the curves y = x² and y = x/x+2. .

A:

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

A:

Q: Find the area A of the region bounded by the line y = x and y = 6 – x²

A: Area between curves