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

Q: Sketch the region whose area is represented by the iterated integral. dyds un

A: Option C is correct.As lower limit in inner integration is tanx2 which you can see in the graph.if…

Q: Compute the rotated area bounded by y = 2x, x = 2 and x-axis about x-axis

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Q: Find exact area btaind by rotatingahe Curve about the tatis

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Q: Find the area between the two Curv G. ye- -X, x² = G - Sy

A: Given that  y^2=-x,x^2=6-5y To find the area between the curves

Q: YA y= /(x) 0. C

A: Topic- area under the curve

Q: Find the area bounded by the parabola x²=8y and its latus rectum.

A: To find: The area bounded by the parabola x2=8y and its latus rectum: Concept used: Area under the…

Q: Derive the formula for the volume of a sphere of radius r by slicing.

A: We have, a sphere of radius r. The differential element shown in the figure is cylindrical with…

Q: y = 0, y = 2, y = 2 – (x + 2)´, y = 2 – x - -

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Q: find the area bounded by axes and line 3x+2y=12

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Q: Sketch the area bounded by x² + 2y = 4 and and determine: x+y+2=0 area using horizontal strip

A: The objective of the question is graph the given region and determine the area bounded by the given…

Q: Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 5), and (5, 0).…

A: Sketch the base of the solid as follows.

Q: Find the EXACT area of the region bounded by segment AC, segment AB, and arc BC.

A: Given,

Q: Find the volume of sphere by using Multiple Integrals

A: We will find the volume of a sphere generated by revolving the semicircle y = √ (R 2 - x 2) around…

Q: Sketch the region and find its area (if the area isfinite). S = { ( x, y) |   -2< x <= 0  , 0…

A: The sketch will be as follows

Q: Compute the area contained between the parabolas y and y =4-

A: Given parabolasy=x23y=4-23x2

Q: Use triple integral to show that the volume of a sphere with radius 'a' ra". is

A: We have to use triple integral to show that volume of sphere with radius ' a ' is 43π a3. Equation…

Q: Find the dimensions of the right circular cone of the greatest lateral area that can be inscribed in…

A: Here we find the dimensions of cone.

Q: Use the theorem of Pappus a = 2 is positioned with the Volume = %3D Write as an exact expressi

A: .assume that a disk of radius a=2 is positioned within the left hand of the circle  at x=b=9 and is…

Q: What is/are the difference/s when using the Trapezoidal Rule, Simpson's 1/3 Rule, and Simpson's 3/8…

A: Basic Difference is :   Trapezoidal uses Linear Approximation within each subinterval, while…

Q: Find the area of the reglon bounded by the graphs of the equations. y = 5x +5, x = 0, x = 2, y = 0

A: Required area is…

Q: Compute the area contained between the parabolas y and y 3 = 4 --x2

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Q: Compute the area of such region: (in picture) and sketch it.

A: Compute the area as follows.

Q: please prove this using the definiton of compactness

A: To show that the given set 1n|n=1,2,3,.....∪0 is compact.

Q: Find the Integral of Area of a Surface of Revolution

A: Given x=etcosty=etsint0<t<π2

Q: 3. Find the volume of a sphere with radius r by integration.

A:

Q: Compute the rotated area bounded by y = 2x, y = 8 about line x = 3

A: Given regions are: y=2x2, y=8 and the line x = 3 We have to compute the rotating area bounded by the…

Q: What is the area of the curved surface of a right circular cone of radius 11 and height 60?

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Compute the area by the method of coordinates of the traverse whose corners have the coordinates…

A: Given Points are A=(200,400) B=(600,-200) C=(300,-350) and D=(-300,-350)

Q: Show that the rectangular box (including the top and bottom) withfixed volume V = 27 m3 and smallest…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Determine the area of the region R that lies (between the parabolic curve and the straight line)…

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Q: Find the area of the region bounded by y = 4x + 4, y = 6x + 6, and a = 4 %3D

A: Given:y=4x+4y=6x+6x=4Formula:Area=∫aby1x-y2x dxA=∫aby1x dx-∫aby2x dx

Q: Use integrals to find the area of triangle with vertices (0,0) (2,6) and (7,1)

A: Please refer the attached image for complete solution.THANK YOU.

Q: Find the area of the surface obtained by rotating the region formed by 1 In x, 1<x < 2, - 2

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Q: Find the area bounded by y = x³ and y = x² + 2x on x € [-1, 1]. Submit your answer in fractional…

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Q: 7dx

A:

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: 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 volume enclosed by the torusp = 4 sin().-

A: The volume is given by: V=∫∫∫dv In spherical co-ordinate dV=ρ2sin φ dρ dφ dθ

Q: h -y =

A:

Q: Compute the area bounded by y = 12 – x, y=Vx and y = 1. Show all necessary workings.

A: Here , y=12-x , y=x and y=1 We need to compute the area bounded by these curves. Area is given by…

Q: Find the volume of the solid of revolution bounded by the circle +y = 16, and the lines 0 and

A: To find: Volume of the solid

Q: x³ – 6x2 + 8x, and y = x² – 4x - -

A: Given curves, y=x3-6x2+8xandy=x2-4x To find the area bounded by above curves using vertical strips.

Q: 2 x +y<1 ldxdy

A:

Q: Sketch an area bouneded by the parabola y = x´ and the line y = x + 2. Using an iterated ntegral,…

A: We are asked to find the area of the region bounded by the parabola ana the line.

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

A: Formula:

Q: Start with the area bounded by y=x^2 , y=0 and x=2, then rotate around the line y=4.

A:

Q: Find the area of the region shaded below that is inside of a circle of radius 4.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Approximate the area of the shaded region using the Trapezoidal Rule and Simpson’s Rule with n = 4.

A: Definition used -             Trapezoidal Rule-                   ∫abf(x)dx≈∆x2(f(a)+…

Q: Find the approximate net area of y = x cos x on [−π, π] using 3 left rectangles

A: Consider the given function as fx=x cosx on -π,π. Approximate net area of fx=x cosx on -π,π using 3…