The region between y=x+3 line and yax+l curu a) x -axis 6) y=1 line cX=-1 line

Q: Let R be the region bounded by the curve y = r and the line y = 2x. Use inequal- ities to describe R…

A: In this question we have to describe the area of region by using vertical cross section

Q: Sketch the region enclosed by the curves and find its area. 1 y = 6x² ,y = 6 V5,x = and.x Enter the…

A: topic- area between curves

Q: Find the area of the circular washer with outerradius 2 and inner radius 1, using Fubini’s Theorem

A: Given Circle with radius ‘2’  Circle with radius ‘1’

Q: Sketch the region enclosed by the curves and find its area. 1 х — 0, у — 1, у — е NOTE: Enter the…

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Q: of the region. bounded メニ-3, メx and y-axis.

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Q: Consider the region R determined by the lines x=0, y=1 and the curve y=x^8. Determine n such that…

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Q: By using double inpegrals, Find Ihe area the enclosed by of region b) cur ve x:- yo, Line e) curve…

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Q: Find the area of the plane region bounded by y = x2 - 4x and y = x(2 - x)

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Q: 2. Region bounded by y= x, x=0 and y=15, rotated about the y-axis

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Q: Assume that a cell is a sphere with radius `10^{-3}`  or 0.001 centimeter, and that a cell’s density…

A: given: a cell is a sphere with radius or 0.001 centimeter and a cell’s density is 1.1 grams per…

Q: Let R be the region bounded by y 8 sin 2 point (? 8)

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Describe the region R bounded by the curve y = x² and the line y = 2r in terms of inequalities using…

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Q: Sketch the curves y = x +3 and y= 4x, and find their intersection points. What is the area of the…

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Q: +y).dx + (xy²).c

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Q: find the center of mass of a thin plate of constantdensity d covering the given region. The region…

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Q: 7. Find the radius of gyration of a plate covering the region bounded by y3,x 2, and the x-axis with…

A: Formula used:Radius of gyration, moment of inertia and area under curve with reference to y axis is…

Q: Sketch the region enclosed by the given curves. y = 3/x, y = 12x, 1. y = -X, 3 x >0 y y 8- 6. 6. 4 4…

A: Given curves: y=3x, y=12x, y=x3 Andx>0

Q: Two circles of radius 6, with centers at (-3, 0) and (3, 0), intersect as shown in the figure. Find…

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Q: Draw the region bounded by the curves r=√(3cosθ) and r=3sinθ and find its area.

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Q: A yo-yo is made from a sphere by removing a slice from its center, as in Figure 6.35. Suppose the…

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Q: 44) Find a horiz antal Cine y=k +hat the between y = x? and area y = 9 into two equal parts.

A: Solve the following

Q: Find the area in which region lies in first quadrant bounded by v = Vũ, u – axis and line v = u – n.…

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Q: Sketch the region defined by the inequalities 0<= r<=2 sec u and -pai/4 <= u<= pai/4

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Q: 4. Region bounded by y = x2, x=0 and y=15, rotated about the y-axis

A: Imagine the plot and rotate it about the axis specified and the resulting figure will lead to the…

Q: integrate ƒ over the given region.Quadrilateral ƒ(x, y) = x>y over the region in the first…

A: Given,

Q: (0, у)

A: Given that You are planning to close off a corner of the first quadrant with a line segment 17 units…

Q: Find the circular cylinder of largest lateral area which can be inscribed in a sphere of radius 4…

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Q: Sketch the region enclosed by the curves/lines x = y, y =1/x, x = 3 and find its area.

A: given,         x=yy=1/xx=3

Q: 3 and y=X %3D 2

A: The equation of the curve is x=12y2-3 The equation of the curve is y=x-1

Q: – 4V5 )ds]

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Q: Find the area bounded by the following:   A parabolic curve whose vertex is at P(1,4) and its latus…

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Q: 6 Find the center of mass of a thin plate of constant density & covering the region in the first and…

A: Calculate center of mass for x coordinate: x=∫x=01∫y=-61+x261+x2xdydx∫x=01∫y=-61+x261+x2dydx…

Q: Sketch the region enclosed by the given curves andfind its area.   x=y 4 ,y = √(2 - x)   ,y = 0

A: x=y4,  y=2-x,  y=0. The graph is,

Q: 2. By integration, show that the area of a circle of radius r is A = rr?

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: Sketch the region which is defined by the given condtions. 0 ≤ θ ≤ π, r ≤ 3

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Q: 23) Find the area of plate bounded by y = x- 1, y = 3-x and y = 0.

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Q: egiver aion tU SUIVE 18. In AXYZ, mZX=70, mZY= 4 XZ? %3D

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Q: 4. Region bounded by Y = x rotated about the y-axis ,x%30 and y=15,

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Q: Find the area.of.. the region. R bounded by the graphs of gien equations 2. 4.= X +2 draw.and.…

A: As we know the area bounded by curves can be calculated using the definite integral, as we will…

Q: 9. Find the demensions of the right circular cylinder of largest volume that can be inscribed in a…

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Q: 8 Set up surface aenerated by revolving the given. Curve about the indicated axis, an integral for…

A: y=x3, 0≤x≤2, about x-axis

Q: If the line x = 1- y, with 0 < y<1 is revolved about the y-axis. Find the generated lateral surface…

A: Given  the line x = 1-y with 0≤y≤1 is resolving about the y-axis we have to find the generated…

Q: 1. Region bounded by y= x, x=0 and y=15, rotated about the x-axis

A: Volume of solid revolve around y axis

Q: 4- Find Ix and Iy For The Region Bonded by y=x² and y=Vx 5- Find the area of The Cirde x+9=4 From…

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Q: Find the area of the circular sec- tor having radius 3 ft and 0 = 7.2radians %3D

A: Formula:

Q: ) Draw the enclosed region 0 and x = -3. √1- x, y = 0 and x Question 2 ( by the curves y = √1- x, y

A: Given,  y=1-x, y=0, x=-3

Q: Find the area of shaded region by using Trapezoidal rule YA 2.5 x = y 1.5- 1- y = In 2 0.5- x= e?y…

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Q: region bounded by y =x1/2 , y = 0 and x = 9. Use disks or washers to find the volume generated by…

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Q: 7. A hemispherical tank with a radius of 6 ft is filled with water to a depth of 4 ft. Find the work…

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Q: Sketch the region enclosed by the given curves. y = 8 cos(x), y = 8 - 8 cos(x), 0<x T

A: This question is related to area bounded by curves, We will use integration to solve it.