(U Let 2=( cast-e'snt,snd - cast , o), te Co, »)(a) Find T, Cunik tangent ,unit binermal)() Find the Curuature K.(O Reuorite kin terms af arclensth s.

We have, α→t=etcost-etsint,etsint+etcost,0 we know that T→t=r→'tr→'t Now,…

Answered: O Let 2)=(e cut-e'snt,e'snere cost ,…

O Let 2)=(e cut-e'snt,e'snere cost , o), te [o, ) () Find T,ĕ (umit burgent, unit binermal) () Find the Curuature K. (O Reuorite k in terms af arclensth s.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 48E: Sketch the solid that results when the given circle of radius length 1 unit is revolved about the...

See similar textbooks

Related questions

Q: 4- The centroid of the shaded area is required to lie on the y-axis. Determine the distance b that…

A: Answer is mentioned below

Q: Ez fand Pi) Pow = * in Tesm of Po, Pg

A: For a function fx, it is known that fx=∑kAkPkx (i) Where Pk is the Legendre…

Q: 8. If A-a- cos0)à, - phå, +zcos*¢â, what is 9. For the conical surface 0= 30",0SOS 27,0Sr52, the…

A: 8. Consider the given vector, A=ρ41-cosϕa^ρ-ρϕa^ϕ+zcos2ϕa^z The formula for divergence in spherical…

Q: Suppose a sphere of radius r is sliced by two horizontal planes h units apart (as shown). Show that…

Q: 5.2 Compute I = e -dz, where C is the boundary of the square centred at the origin, with sides of…

Q: Let C denote the circle of radius 1 in R2 centered at the origin, oriented counterclockwise. for…

Q: Let F(x, y) = 4yi + (2æ + ev* ); Calculate ,F · dr, where C is the circle of radius 2 centered at…

A: Given that F(x,y)=4yi+2x+ey2j The objective is to calculate ∫CF.dr where C is the circle of radius 2…

Q: 3.use Greens theorem S(1+x dx + 2xy dy ,where C is triangle With vertices (0,0),(1,0).(1,3) oriented…

A: "Since, you have asked multiple questions, we'll solve the first question for you. If you want any…

Q: Evaluate ff. xyz ds, over that part of a sphere of two units radius and centre at the origin Which…

Q: See below for a and b

Q: 55. A point moves along the intersection of the elliptic parab- oloid z = x+ 3y and the plane y = 1.…

Q: O show mat me Nomal point @ X= a( Coro +o Smo) y= a(8in0-o Cor0) dy Sine %3D ep" of Normal S-ゴ」=…

A: the parametric function is x=a(cosθ+θsinθ) y=asinθ-θcosθ Differentiate each with respect to theta…

Q: Use Green's theorem to evaluate $(xy + 3x²)dx + (3y – 2x)dy, along C, where Cis the triangle with…

A: Given Integral ∮(xy+3x2)dx +(3y-2x)dy along c where c is the triangle with vertices (0, 0), (0, 3)…

Q: Consider 2-dimensional hyperbolic space with metric ds ds'+dy and y > 0. The length of a line…

Q: (2) Find tume area of reason borunded by the graphs of tue equations d-**, the M = I, x=3,and Pound…

Q: Let NR be a disc with centrum in origo and radius, R. 1 Assume that, J(x, y) x² + y? < R². 1+x2 + y²…

A: ΩR be a disk with centrum in origo and with radius, R. Assume that, Jx,y=11+x2+y2,x2+y2≤R2. Then we…

Q: 7. Which surface is parameterized by ř(u, v) = (u, uv, v) for –1 < u <1 and –1< v< 1?

A: r→(u, v) = u, uv, v for -1≤u≤1 and -1≤v≤1The parametric curve is Option C is correct.

Q: figure to poi 64 neares 34 (3) ^ 34. nometric 500 20 48° 35. 7 0. ses In 46. А polic an ang to the n…

A: Solve the following

Q: (a) exactly one point P in R³. Do NOT put one sphere inside the other one. Draw a picture of two…

A: a) The objective is to draw two spheres of different sizes tangent to each other at exactly one…

Q: Are |z], Img(z) analytic? Give reason. sin Choose the suitable theorem to find the result of $ dz…

Q: b.) show that brnormal of the muolute the unit *-ズ+(c-s)で g =dG) |k-s) K| K* where K is the…

Q: Use Stoker Cur theorem to evaluate. IF - ds S Where F= of radius I with x ] +ya³k ands is the +yx³k…

A: Given That ∬Curl F →·dS→ F→=yi-xj+yx3k To Find: evaluate ∬Curl F →·dS→ using strokes theorem

Q: On cogely the r y Mesiduer to Cualiete Calular (os node

A: Using the Residue theorem these types of questions can be solved by integration around the unit…

Q: 8. Evaluate ze+y´+z² dV, where E is the portion of the ball centered at E the origin of radius 5, x?…

Q: Trapezoid KLMN has sides KL= 20 unuits , LN= 60 units MN= 22units , KN= 66units, with KL parallel to…

A: Given that Trapezoid KLMN has sides KL= 20 unuits , LN= 60 units MN= 22units , KN= 66units, with KL…

Q: By using Green's theorem evaluate £ (Ary – y) dr + (** + 3ry) dy where C is a closed curve starting…

A: Green's theorem in a plane: If D is a region inclosed by a closed curve C then ∮C u dx+v dy=∫∫D…

Q: Find a formula for the distance from the point P(x, y, z) to thea. xy-plane. b. yz-plane. c.…

A: Distance FormulaDistance between two points x1,y1,z1 and x2,y2,z2d=x2−x12+y2−y12+z2−z12

Q: A marble of radius r, o<re4, 1s dropped into a cohtainer having the shape of a circular Cylinder.…

A: A marble of radius r , where 0<r<4is dropped into a container having the shape of a circular…

Q: Consider 2-dimensional hyperbolic space with metric ds = dr'+dy and y > 0. The length of a line…

Q: 3. Please give clear explanations

A: The parametrization of a surface S is given by G(u, v)=(u, v, uv) where D is u2+v2≤1.

Q: Let C be the arc of the circle |z| = R from -R to R. %3D Where R is a positive integer greater than…

A: We will solve this question only using the ML Inequality which is an elementary concept in complex…

Q: 2 What Is the equatlon of the clrcle with a radius of 5 and center at (2, 3)? F (x + 2)2 + (y + 3)2…

Q: (1) Compute where Cis the couater dockwise oriented boundary of upper half unit disc D.

A: It is given that, ∮Cy2dx+3xydy here C is counter clockwise oriented upper half disc D. Here,…

Q: find alea in bounded and in which Juadiantgon メ-exis lies fist lind Give U-n. where is explession…

Q: By using Cauchy's integral formulas evaluate sin Tz2 + cos TZ² dz (z + 1)(z – 2) C and e2z dz (z –…

Q: 6) 3 =x2 porobola, find the yolume of the object by notating +his porabola ond the regjen around the…

Q: 13-Evaluate JSS zdV E where E lies between the spheres x2 + y? + z² = 1and x2 + y? + z? = 4 in the…

A: To find- Evaluate ∭Ez dV where E lies between the spheres x2 + y2 + z2 = 1 and x2 + y2 + z2 = 4 in…

Q: )2. Find the paramehic from the cune check whether the cure is a repulor cuwe. AGo reparametije the…

A: Note: According to our guideline we will answer the first question as the exact one is not…

Q: Suppose the plane So thet its Coordinates are a partile Pir moving in given by y=Fsinzt Plxy) where…

Q: Suppose that the Celsius temperature at the point (x,y,z) on the sphere x +y +z =1 is T= 1600xyz“.…

A: This is a problem related to maxima and minima. Based on the general formula we will answer the…

Q: 12.The temperature at each boint of a metel plate i given by the functien %3D :) In What disection…

A: The temperature function is given by Tx,y=excosy+eycosx the Temperature rise will be given by…

Q: 1. Isosceles Triangle XYZ with XY = ZY %3D 2. Line XY perpendicular to segment AB, where B lies on…

Q: Point P is the centroid for AMNO. calculate MO if MR = 13. Round to the nearest tenth if necessary.…

Q: 8. Let S be the part of the sphere r² + y² + z² = 2 where y 2 1, oriented away from the origin. (a)…

A: Given x2+y2+z2=2 where y≥1

Q: Give arc-lengtu porametriz atian of the line which an Hhe tangent planes of and (1,2,9). is Hhe…

Q: the line integral SexY² ds where C is the of the Circle x² + y²=4 oriented clockwise Evaluate Cight…

Q: On a graph, sketch segment with end-points A =(3,8) , B=(7,0) $ C =(x,y) such that the of a line…

Question

100%

(U Let 2=( cast-e'snt,snd - cast , o), te Co, »)
(a) Find T, Cunik tangent ,unit binermal)
() Find the Curuature K.
(O Reuorite kin terms af arclensth s.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Triple Integral$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Sketch the solid that results when the given circle of radius length 1 unit is revolved about the horizontal line that lies 1 unit below the center of that circle.
Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a orthocenter? b centroid?
A circular helix in xyz-space has the following parametric equations, where θ ∈ R.x(θ) = 4 cos θy(θ) = 4 sin θz(θ) = 3θLet L(θ) be the arclength of the helix from the point P(θ) = (x(θ), y(θ), z(θ)) to the point P(0) = (4, 0, 0), and letD(θ) be the distance between P(θ) and the origin (0, 0, 0). Let L(θ) = 10. Which statements do hold?
Show that the intrinsic equations of a helix on a cone of revolution are : K= 1/as and torsion=1/bs where a,b are constant step by step with all det
Give a parametric description for a cylinder with radius a andheight h, including the intervals for the parameters.
Calculate the curvature function for ?(?)=⟨3cos(5?), 2? , 3sin(5?)⟩. (Express numbers in exact form. Use symbolic notation and fractions where needed.) ?(?)=
Find the arc length of the curve Cycloid arch: x = a(θ − sin θ), y = a(1 − cos θ) , on the interval [0, 2 ].
what is the arc length of the parametric curve x=cos2 θ y=cosθ and θ is bounded between 0 and π/2
Where an Interior point Exists?
Let vector, r =<3cos2t, 3sin2t, 3t> 1)Velocity of r=? 2)The parametric form of tangent line of r at r(pi/2)=? 3)arclenght of r from t=0 and t=1=? 4)Parametrization of r for t[0,pi/2] by arclenght=?
This is a three part problem. Given: Find the line integral with respect to arc length (6x + 8y)ds, where C is the line segment in the xy-plane with endpoints P = (8,0) and Q = (0,9) A. Find a vector parametric equation r(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. B. Using the parametrization in part A, what is the line integral with respect to arc length? C. Evaluate the line integral with respect to arc length in part B.
Which integral represents the arc length of the astroid shown in and given parametrically by