The given curve is rotated about the y-axis. Find the area of the resulting surface. y=x2-극 In(x), 2sxs5 4 117 -2n(5) + 흥n(2) 12

Q: calkulate the ) x+(y-)'=1 of the circle yo- area of the surface formed by rotating it around the…

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Q: Find the surface area if y = (x3/6)+(1/2x) on .5<=x<=1 is rotated about the x-axis.

A: Given: y=x36+12x on 5≤x≤1

Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Sketch the section of the surface at x = 0. y? – 42? = 4

A: Given

Q: Q5 Sketch the surface whose equation is given by (2 – 2)° = (2x² + 4y°).

A: We will use basic of graph plotting.

Q: Identify and sketch the surfaces x2 + y2 + z2 = 4

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Q: y? Assume you are given the surface S with equation p2 9. 1.

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Q: Find the area of the surface. The part of the plane 3x+2y+z=6 that lies inside the cylinder x² + y²…

A: Since, the equation of the cylinder is x2+y2=4 and  3x+2y+z=6⇒z=6-3x-2yParameterize the surface of…

Q: 4d. z =-x´ + y´ Name of the surface

A: The structure obtained from the given equation is more like of dome structure

Q: Find the Exact Area of the surface obtained Retating by the curve asout the X-axis 9x=18+g2 25Y56

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Q: What is the name of the surface defined by the equation y? x? + + 2z? = 1?

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Q: Find the points on the surface y? = 36 + xz that are closest to the origin. smaller y-value (х, у,…

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Q: You are given a y=sqrt(36-x^2) curve that rotates about the x-axis. What is the area of the…

A: To find the surface area of rotation of the below curve about the x-axis. y=36−x2

Q: Find the equation of the surface of revolution that is generated by rotating the straight line y = x…

A: The surface of revolution that is generated by rotating x=f(y) around the y-axis is x2+z2=f(y)2 so…

Q: find the the area of the surface obtained by rotating the circle about the line x^2+ y^2=25…

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Q: Identify and sketch the surfaces x2 + z2 = y2

A: Given surface is x2+z2=y2. The given equation is in the form of x2a2+z2c2=y2. So, the given surface…

Q: Moving to another question will save this response. Quèstion 13 Surface at 0 = 30° and r= 10 is a.…

A: solve

Q: Identify the type of surface represented by the given equation. x= - 72?, no limit on y O Cylinder O…

A: Consider the given equation, x=-7z2 This equation is of the form of parabola on the xz-axis and y…

Q: Identify and sketch the section of the surface at x = 0. 2y? – x + 22 = 50 Type of the surface:

A: This question is related to conic section .solve in step 2.

Q: 13. Consider the equation: 4x² +9z? = 36 Describe the traces. а. b. Describe the rulings. с. Sketch…

A: Here is the solution of the given problem.

Q: Given  z=44−27x2  is a curve in the xz-plane. If the equation of the surface generated by revolving…

A: Given  z=44−27x2 is a curve in the xz-plane. The equation of the surface generated by revolving the…

Q: Name the surface and draw an accurate Graph of x² – y² – z² = 1 in R’.

A: Given: The surface x 2 - y 2 - z 2 = 1     To determine: The name of the given surface and the graph…

Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

A: Introduction: The formula for the surface area of the curve y=f(x) from a to b , when the curve is…

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y=x3 + for…

A: surface area of the curve is given by  S=2π∫abf(x) (f'(x))^2+1 dx

Q: Consider the surface in 3D described by the equation z = x² + y? – 16. (You might want to start by…

A: We are given that z=x2+y2-16 which is an Elliptical Paraboloid. We have to describe the trace in xy…

Q: Find the point on the surface x2 − 2xy + y2 − x + y = 0 closest to the point (3, 4, −5).

A: Consider the provided surface

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=4/x,…

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Q: (a) What does the equation x² + y´ = 1 represent as a curve in R? (b) What does it represent as a…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=4…

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Q: Identify and sketch the section of the surface at x = 0. 2y? - x + 2z = 32 %3D Type of the surface:…

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Q: 9y=x²,0 ≤ x ≤ 2 ; x-axis

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Q: 32. Which of the following is the trace of the surface in the plane y=3? * O Hyperbola O Ellipse O…

A: Given, To evaluate trace of the surface in the plane at y=3

Q: x = z? + y? Name of the surface

A: x=z2+y2 We need to name the surface.

Q: What sort of surface is represented by the equation r = 2? Circle ) Hyperbolic Paraboloid Cone O…

A: which surface we can represent by radius that sort of surface :

Q: = V16 – x², -2<x<3, is rotated about the x-axis. Find the area of the resulting surface.

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Q: Sketch the surface in R' of the equation presented. x2 + y? - 8x = 0

A: Sketch the graph on xy-plane, i.e., when z=0

Q: Describe the surface given by the equation, and find xy-trace, xz- trace, and yz-trace. 16x2 + 16y?…

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Q: Find the area of the surface generated when the given curve just sayin revolved about the x-axis.…

A: SOLUTION-

Q: Consider a closed rectangular box with a square base with side z and height y. a. Find an equation…

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Q: A Find the area of the surface generated by revolving the curve y = /2x-x² , 0.75sxs 1.75, about the…

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Q: Consider a closcd rectangular box with a square base with side æ and height y. a. Find an equation…

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Q: Find the exact area of the surface obtained by rotating the curve about the y-axis: y = 3 + 5x2 ; 3…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y =  x3 4

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Q: Identify the following surfaces and sketch your graphic: A)4x² + y²-2y+9Z2-35=0 B)y² + 4z² =x

A: We will standardize  given equations 1st and then find required surface ,

Q: ZA z = 1/x y = 1/x z = y/x yz = 1

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Q: Find the exact surface area for the portion of the surface z=sqrt(x^2 + y^2) that is below z=4 and…

A: Find the exact surface area of the portion of the surfacez=x2+y2 that is below z=4 and in the region…

Q: You are given a y=sqrt(36-x^2), -3≤x≤3, curve that rotates about the x-axis. What is the area of the…

A: Given curve is y=36−x2, −3≤x≤3 and curve rotates about the x-axis. We have to find the area of the…

Q: EX- Find the area of the surface generated by rotating the 1 portion of the curve y= (x²+2)³ between…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis.   y =…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

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