Find the area of the region R bounded by y = 3√x and y = x, in the first quadrant. Sketch the graph and a representative rectangle.

Q: sketch the region enclosed by the carves and find its area X Sy + 1a = .....

A: The detailed solution is explained in steps 2 and 3.  First we have to sketch the curves and then…

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

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Q: Find the area of the region enclosed by: y = x³ and Y = = x4

A: Given curves are  y=x3 and y=x4 Point of intersection of the curves are obtained as follows.…

Q: Consider the infinite region in the first quadrant bounded by thegraphs of y = 1/x2 , y = 0, and x =…

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

A: Topic = Area

Q: Sketch the graph and find the area of the region that lies inside both r = 1 and r = 2sinθ.

A: To sketch: The graph of the equation and find the area of the region that lies inside the equation.…

Q: . Find the area of the region bounded between the circles x? + y? = 4 and (x – 2)2 + y? = 4.

A: Area between curves

Q: ) Sketch the graph and find the area of the region that lies inside both r= 1 and r= 2sinA

A: Area

Q: Find the area of the region enclosed by x = y and a = 1. %3D

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Q: Find the area of the region enclosed by r = y² and y = x – 2.

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Q: By sketching the graphs, find the area of the region bounded by, x = /y,y x + 6 and x = 0

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Q: Find the area between the corves y= 2-x² and

A: Find the area between the two given curves First draw both the equations in a single plane To draw…

Q: Given the area of the region enclosed by y = x and y = -2x* , identify the "a" and "b".

A: Given: The area of region enclosed by y = x2 and y = -2 x4    To Find: a and b

Q: : Find the area of the region R enclosed by the lines y= x, y x/3 and y = 2?

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Q: Find the area of the region enclosed y = 7e¯ 7 and x = 0.

A: In this question we will simply use the basics of calculus i.e application of integration. We will…

Q: Find the area of the region bounded by r2 =50cos(2theta)

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Q: Find the area of the region R enclosed by the lines y = x, y = x/3 and y = 2?

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Q: Find the area of the region enclosed by x = y² and y = x – 2. Give your answer to 1 decimal place.

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

A: Given: Find the area of the region enclosed by the parabola y=2x-x2 and the x-axis.

Q: Consider the infinite region in the first quadrant bounded by thegraphs of y = 1/√x, y = 0, x = 0,…

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

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Q: Determine the area of the region bounded by æ = y? – y – 6 and a = 2y+ 4.

A: Area between two carves = double integration of (dx dy) From given two carves we will find limits of…

Q: Find the area of the region enclosed by the graphs of 1 VI- 472' Y =0, x = 0, and x = 4' 1 — 4г?

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Q: (b) Find the area of the region enclosed by x = y² and y = x – 2

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Q: Find the area of the region enclosed by x=y^2 and y=x-2

A: To find the area of the region enclosed by x=y2 and y=x-2

Q: Find the area of the region bounded by y = 4(x + 2), x = 2 and the x-axis. Answer:

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

Q: Find the area of the shaded region: 1. yA x= 2 2, 4) y= x? y= 0

A: We will find the area of shaded region as following.

Q: B) Find the area of the region enclosed by the Parabola y = 2 – x2 and the line y + x = 0 ?

A: The region is bounded by y=2-x2 and y+x=0

Q: Find the area bounded by the given curves. v = 6x² – 16x – 7 and y = 3x2 + 2x – 22 | square units

A: Given curves are: y=6x2-16x-7y=3x2+2x-22

Q: Find the area of the region bounded by у? %3D 2х, аnd у%3Dх-4

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Find the area of the region bounded by y = 13 / (49 − x2) and y = 1.

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Q: 2. Find the area of the region enclosed by æ + y? = 0 and ¤+3y² = 2.

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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: Find the area of the region enclosed by x = y² and y = x−2.

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Q: Find the area of the region bounded by the given y = 4ax, y = 4ax°, a > 0

A: The given curves are  y = 4ax y = 4ax3 Intersection point of both curves 4ax = 4ax3 4ax(x2 - 1) = 0…

Q: Find the area of the shaded region. 5ft

A: Given shaded region is  This shaded region is quarter of a circle having radius 5 ft. Therefore the…

Q: Find the area of the region enclosed by the graphs of the functions y = 8 - x², y = 7x, and y = 2x…

A: This question is based on application of Integration.

Q: find the area of the circle r=a by integration

A: The diagrammatic representation is,

Q: Find the area enclosed by the line x=y and the parabola 4.x+y² =12

A: Given that, The line x=y and the Parabola 4x+y2=12   We have to find Area between the Curves   As we…

Q: Find the area enclosed by the curve r= 5cos0

A: The given curve is as follows:r=5cosθTo find the area enclosed by the curve r=5cosθ

Q: Find the area of the region enclosed by y = –x² +6, y = x, y = 5x, and x > 0.

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Q: Find the area enclosed by the given curve r=2acos20

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Q: Find the area of the region in the first quadrant bounded by the circle (x - 1)² + y² = 1, and the…

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Q: Find the area of the region in the second quadrant bounded by y= -x and y=x^4

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

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Q: Find the area of the region in the 1st quadrant bounded by y = x2 + 1, y = 1 – x², and x = 1.

A: Given the curves and lines y=x2+1, y=1-x2 and x=1 The figure of an area of the following region is…

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

A: In the given question we have to find the area of the region enclosed by the curve y=x2 and y=x.…

Q: Find the area of the region enclosed x = y? – y and x = 2y? – 2y – 6

A: area = upper curve - lower curve

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

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