Determine the area of the region enclosed by y = x² and y = Va.

Q: y y= x V9-x – * 9 2 y=0 3 y=0 OIN

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Q: Sketch the region enclosed by y=4x and y=3x^2. Decide whether to integrate with respect to x or y,…

A: The solution of the problem is given in the next steps.

Q: Find the area of the shaded region. y 4 3 2 y = v x (1, 1) X = 8 1 y = 4 CO

A: Explanation of the answer is as follows

Q: Find the area of the region enclosed by the curves y =

A: answer is in next  step

Q: Lnx y = y = xLnx 4.x

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Q: Sketch the region enclosed by the following curve and find its area. x = y^4, y =√2 − x, y = 0

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Q: Sketch the region bounded by the curves x = Vy + 3 , x =y+1 and evaluate the area

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Q: Sketch the region enclosed by the given curves and find its area. y = v2x, y = a², 0< x < 6

A: The region is sketch is below:

Q: Sketch the region bounded by the curves y = vx + 4 , y=x +2 and evaluate the area.

A: Given Curves are     y = x+4   and    y = x+2  first equation can also be written as  x = y2 -4 now…

Q: Find the area of the plane region bounded by the curves y = Vx - 1, y = 3, the x-axis, and the…

A: Region bounded be the curves is given, we need to find the area of the region. Firstly,  we'll draw…

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

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Q: Sketch the region enclosed by the following curve and find its area. x=y¹, y = √2-x, y=0

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Q: Sketch the region bounded by the curves x = Vy+ 8 , x = y – 4 and evaluate the area.

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Q: 1. y = a2, y = Va, = x2, y = Vr. on the interval 0.25, 1]

A: The objective is to find the area enclosed between two curves.

Q: Calculate the area of the region bounded by y= Vx+1 and y = x – 2x – 3. %3D

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

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Q: Find the area of the region bounded by y = x', x = y°, and æ + y= 2. = x²,

A: Given: y=x2 ,x=y3 and x+y=2 Graph:

Q: Find the area of the region bounded by y = ex,    y = e3,    x = 0

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Q: Sketch the region enclosed by the curves y=2x, y=〖2x〗^2+x-3, then find its area.

A: The two curves are :                                    y=2xy=4x2+x-3 To determine:…

Q: Determine the area of the region bounded by y = xvx? + 1,y = e¯i,x = -3 and the y-axis.

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

A: Plot the 2 curves and find the area A to be calculated. The shaded region between the curves is the…

Q: Sketch the region by the curves and find its area. y=x^2 y=x+2

A: Given,

Q: Sketch the region enclosed by y = 4x and y 2x²!. Decide whether to integrate with respect to xlor y,…

A: In this question we have to find area of the region.

Q: Calculate the area of a region bounded by the curves =x and y= Vx

A: I am solving this in step 2

Q: Sketch the region enclosed by the curves and find its area y = 2 – x² and y = x

A: the given curves are y=2-x2 and y=x. To find: the area of the region bounded by the given  curves.…

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

A: Consider the given curves y=13x and y=x. Obtain the limit of integration as follows.…

Q: Determine the area of the region bounded by y = xe¯x² , y = x + 1,x = 1, and the y-axis. %3D

A: Given  y=xe-x2y=x+1x=1x=0  i.e. y axis

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: Find the area of the region bounded by y = x* +1 and y = 3x – 1. %3D %3D

A: Since you have asked multiple questions, we will answer the first one for you. If you want any…

Q: Find the area of the region enclosed by the curves x = 4, y = 1, y = Vx – 4.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Sketch the region enclosed by y = /x, y = 0, x = 4 and calculate its area.

A: The region enclosed by y=x , y=0 and x=4 is given by:

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: Find the area of the region enclosed by the curves x+y=2y^2 and x+y=2

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Q: Find the area of the region enclosed by x = y3 and x = Vy - 6.

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Q: Find the area of the region bounded by y O and Y – 8x8 + x°. -

A: First find intersection point of y=0 and y=-8x8+x9 by equating each other  ∴ -8x8+x9=0…

Q: Compute the area of the region bounded by the curves y = Vx and y = x

A: ANSWER:

Q: Find the area of the region enclosed by the curves x=9y², x = 0, and y = 1.

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Q: Find the area of the region bounded by y = x² – x ,x = 2 , and x & y- axes

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Q: Find the area of the shaded region. yA 2. y=Vx y%3D (1, 1) x=4 y = 1/x²

A: To find the area of the shaded region.

Q: Find the area of the region enclosed by the curves y =x and y = 1 FIRO FIRO

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Q: Calculate the area of the region R bounded by the astroid x=acos3t, y=asin3t, 0≤t≤2π.

A: Given information: Concept used:

Q: 23. y = 2x, y =}r

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Q: yA y = 4 y X = 4 x = Vy

A: Given:- x=y/4  , x=√y , y=4  To find :- Area enclosed by given curves

Q: Shade the area of the region bounded by, x? + y? s p? and |x| + \y] > p Hence, find the area of the…

A: Answer

Q: Find the approximately area of the region bounded by the curves y and y = x* – x.

A: Given curves are y=xx2+1 and y=x4-x

Q: Sketch the region enclosed by the curves y = xe¬x², Find the area enclosed by the given curves. `, y…

A: Given: y=xe-x2, y=x+1, x=2 for finding area enclosed by given curve and y-axis, first we draw region…

Q: Sketch the region enclosed by x+y^2=6 and x+y=0. Decide whether to integrate with respect to x or y,…

A: We first graph the given equations. They intersect at (-3,3) and (2,-2)

Q: Find the area of region enclosed by the two curves y = Vx +1 and y = v2 x

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