/9-r2In cylindrical coordinates, S LVx²+ y? dz dy dx =Select one:9-72S S * 7² dz dr deO b. None of theseO c. S SS S-r dz dr der9-72O d. " p² dz dr d0

Answered: Image /qna-images/answer/097a16ef-8911-4403-bf7e-f07956bd5217.jpg

Answered: 9-22 c9-a2-y2 In cylindrical…

9-22 c9-a2-y2 In cylindrical coordinates, S x² + y² dz dy dx = Select one: c9-r2 S S L* ,² dz dr de O b. None of these O c. S So S-r* r dz dr d0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

See similar textbooks

Related questions

Q: When transforming 9-x-y I LLE (1² + y² + z°}dzdydx ¸ the triple integral 2n n 3 !!! to spherical…

A: Let's find.

Q: 43/2-x f(x,y,z) dzdydx is rewritten in spherical coordinates as g(p.p,0) dpdwde, then…

A: By integral, x2+y2⩽z⩽43-x2-y2----1 0⩽y⩽43/2-x2------2 0⩽x⩽43/2----------3

Q: V18-x2-y Convert (x² + y + z?)dzdxdy into spherical coordinates. 2n/3 3V2 4 p* cos pdpdpdO /2 -n/2

Q: ds, where S is the hemisphere x² + y² + z² = 1, z ≥ 0. The parametrization of the hemisphere is: x =…

A: Introduction: Surface integral is sometimes evaluated using parametrization. It helps to reduce the…

Q: 4/3 148 - x? J64 – x² - y? +8 Let J= z dz dy dx - 4/3 (i) Express the integral J in Cylindrical…

Q: Find the general (d’Alembert's) solution of the equation of spherical waves 1 d³u 72 p2 dr dr c2 Ət?…

A: the solution of Homogeneous Partial Differential equations with constant coefficients is of the…

Q: Q.3 (a) Express j = 3yî + x²j – x²k in terms of cylindrical coordinates. %3D (b) Transform g = ½f…

A: Since you have posted multiple questions but according to guidelines we will solve first question…

Q: Q. For H=xyâ, +2y°â‚. calculate [H - dī from P(0,2) to Q(0,-2), C (2,0) a) along the path of C1 b)…

A: This line integral can be solved by observing that along the path C1 , x=0 so dx=0. Then the line…

Q: 18 z² –y² t77T (2² + y² + z®)dzdzdy into spherical coordinates. Convert 0. /2 ρ' sin φdρdθdφ /2 •3/2…

Q: V17/2 V17/2-x² V17-x²-y2 J. If the integral f(x,y,z) dzdydx is rewritten in spherical coordinates as…

Q: 5/3 1x² /100 – x² – y² + 10 75 - Let J= z dz dy dx - 5/3 13 (x? +y?) (i) Express the integral J in…

Q: V32 z y Convert I| T_ (2² + y? + z*)dzdrdy into spherical coordinates. */4 */2 4/2 Cos */2 J0 /3 /2…

A: Triple integral is used to integrate function of three variable over the three dimensional region.…

Q: r4–x²-y² x²y dz dx dy /2-y² Jx²+y² x² + y² by converting to cylindrical coordinates.

A: We will evaluate the given integral.

Q: U SIII u' cos u?, EXAMPLE 6.6.3 For a surface of revolution defined by x u! oin o? COS 3 flol) aub…

Q: V1-x /25-x-y Use cylindrical coordinates to evaluate , S zdz dy dx.

A: Here we will evaluate the required value.

Q: 2.13 Let B = xa̟. Express B in (a) cylindrical coordinates, (b) spherical coordinates.

A: Given B=x az As we know if A=Axax+Ayay+Azaz thena Cylindrical coordinates. we put…

Q: Two particles travel along the space curves r¡ (t) = (t, t², t³) r2 (t) = (1 + 2t, 1 + 6t, 1 + 14t)…

A: Given that: *The first particle is located at the point (x,y,z)=t,t2,t3 *The second particle is…

Q: V 25/2 V25/2-x2 V25-x2-y2 If the integral f(x,y,z) dzdydx is rewritten in spherical coordinates as…

Q: Identify the restrictions on r, 0, and z created by the graph (in cylindrical coordinates) shown. -4…

A: Here we have to identify the restriction on r, theta and z from the figure.

Q: (a) 0 = /4 in cylindrical coordinates (b) r = 5 in cylindrical coordinates (c) ø = T/3 in spherical…

A: The graph for part (a) is

Q: 5√3 √75-x² √100-x² - y² y² + 10 Let J= S S z dz dy dx -5√3 0 √3 (x² + y²) (i) Express the integral J…

A: Given J=∫-5353∫075-x2∫3x2+y2100-x2-y2+10 z dz dy dx

Q: x= 3cost +2 sint , y= e 19° parametrik denklemleri ile verilen eğrinin (3,1) noktasındaki teğet…

A: x= 3cos(t)+2sin(t) y=e6t

Q: TTT 2T 1 To S. 0 [th Live 21 T 2T The integral dz dr de rdz dr de 1-72 ["de 2T L²L™^C 0 dz dr de dz…

Q: LS -² dz dy dx, using cylindrical coordinates. 9-r r9-z²-y? 3. Evaluate:

A: Given, ∫-33∫-9-x29-x2∫09-x2-y2x2dzdydx=

Q: Given the cylinder (M): (x- 1) +(y- 1)2 = 2. (M) can be presented in cylindrical coordinates as:…

A: Let x = r cos(theta) y = r sin(theta)

Q: When written in cylindrical coordinates, the equation (x + y')2 = 1 is (a) r = 1. (c) r' cos'0 = 1.…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: 2 Find an equation for the circular cylinder 4x + 4y = 9 in cylindrical coordinates. Select one: a.…

A: Given:4x2+4y2=9 →1For cylindrical co-ordinate,we will considerx=r cos θy=r sin θ

Q: Let x²+y? -6y = 0 be the equation of a surface S in xyz-rectangular coordinates. Give the equation…

A: We are given Equation of a surface S : x2+y2-6y=0 ---(1) To write this Equation in the cylindrical…

Q: In changing variables to cylindrical coordinates, the dV in I| f(x, y, z) dV becomes pdz dr do. O…

A: The objective here is to check if changing the variables to cylindrical coordinates the dV in…

Q: 5 25- y² 50-g² –y² Convert (x² + y² + z²)dzdædy into spherical coordinates. ²+y² 5/2 pª cos ødpdød0…

A: Answer:We have to convert∫50∫25-y20∫50-x2-y2x2+y2x2+y2+z2 dzdxdy into sphercal coordinates∵0≤y≤5…

Q: Match the surface to its corresponding equation in cylindrical coordinates. 37 4 4 - 2 4z 2 r2 = 3z…

A: Diagram C : θ=3π4 Diagram B: r2=4-z2

Q: (b) II -dxdydz, T=(x.y.)10sxs9-,0sys3,0szsx? -y? Evalucite using cylindrical Coordinates. (c) +y

Q: V39/2 V39/2-x2 39-x2-y2 g(p.p.8) dpdpde, then a+az+a3+b;+bz+b3= If the integral f(x,y,z) dzdydx is…

A: According to given, a1=0 a2=0 a3=√(x²+y²) b1= √(39/2) b2= √(39/2 -x²) b3= √(39-x²-y²)

Q: V1-r 2 6. Evaluate xyz dz dy dr in cylindrical coordinates. 7. Compute zVx² + y² dV_with W given by…

A: Since you have asked multiple question ,as per company guidelines we will solve first tquestion for…

Q: What is the cylindrical representation of D=3xX + yzz? O A. None of the given answers O B. D= 3pcos…

Q: YouTrylt 1 Sketch the graphs of the equations given in cylindrical coordinates. (a) r =1 (b) 4 (c) =…

Q: Find the cylindrical equation for (x-4)² + y² = 4². O a.r = 8 cos (theta) o b.r = 0 c. theta = 6.28…

Q: 3.28 (a) In terms of the cylindrical coordinates defined by x = r cos 0, y =r sin 0. z = 2, show…

Q: 5/3 175 - x2 100 - x2 - y2 + 10 Let J= z dz dy dx -5/3 13 (x2 +y?) (i) Express the integral J in…

A: Conversion formula of cylindrical coordinate is given by x=r cosθy=r sinθz=z Conversion formula of…

Q: Q2. Find the Flux of_E(x,y,z) = (2x²+ siny+8x) į –6y° i +( 3z*+5z-2)k %3D Out of the ellipsoid (*-…

Q: 4/3 J48 -x? J64 -x² -y? +8 Let J= z dz dy dx - 4 /3 13(x +y?) (i) Express the integral J in…

Q: onvert T (=² + y² + z®) dzdzdy into spherical coordinates. /4 /3 /2 2/2 - 2×/3 /2 -2/2 /4 /2 2/2 /2…

Q: V1-z? Which of the following is equivalent to the integral (2a + 2y) dz dy dæ when converted to…

A: The given triple integral is ∫01∫01-x2∫0-x2-y22x2+2y2dz dy dx. Note that the region in xy-plane is…

Q: Q2. Find the Flux of_E(x,y,z) = (2x²+ siny+8x) į –6y³ i +( 3z²+5z–2)k Out of the ellipsoid (x-5' ,…

A: From the given information. The function F(x,y,z) is as follows.

Q: The equation z = 1+r² in cylindrical coordinates represents Select one: O a paraboloid O a circle O…

Q: 10. A curve C is defined by the parametrie equations x = t + +, y = t - +. 1+ 0 41 4t Find a…

A: As per the guidelines we can solve 1 part only

Q: Let r²+y?-6y = 0 be the equation of a surface S in ryz-rectangular coordinates. Give the equation of…

Q: V2,V2-x V4-x2-y2 b b2 If the integral f(x,y,z) dzdydx is rewritten in spherical coordinates as…

Q: Given the cylinder (M): (x + 1)² + (y – 1)² = 2. (M) can be presented in cylindrical coordinates as:…

Q: 48-x2 8+ V64-x2 - y2 Let I = z dz dy dx. 43 0 V3(x2+ y2) Express I in spherical coordinates [ R, Q,…

Concept explainers

Cylindrical Coordinate System

The distance from a selected reference axis, the direction from the axis relative to a selected reference direction, and also the distance from a selected reference plane perpendicular to the axis area unit, all accustom outline purpose positions in a cylindrical reference frame. Counting that the aspect of the reference plane faces the purpose, the latter distance is expressed as a positive or negative variety.

Question

/9-r2
In cylindrical coordinates, S LV
x²+ y? dz dy dx =
Select one:
9-72
S S * 7² dz dr de
O b. None of these
O c. S SS S-
r dz dr de
r9-72
O d. " p² dz dr d0

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Cylindrical Coordinates$

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

The planet is spherical with a radius of 1 unit in length. Suppose that in a coordinate system whose origin is at the center of the planet, the magnetic field strength is given by I(x,y,z)=4xz+4yz+7. What is the strength of the magnetic field where the radio telescope will be positioned? will be positioned in the place where the planet's magnetic field is as weak as possible
Given P(-11, 0, 49) in rectangular coordinate system, what is ρ (rho) in cylindrical coordinates? (Compute up to 4 decimal places)
The velocity of a particle moving in the xy plane is given by the parametric equations dx/dt= -2^(t)sin(2^t) and dy/dt=2^tcos(2^t) for time t>=0. What is the speed of the particle when t = 2.3?
Use spherical coordinates to evaluate the triple integral ∫∫∫Ex^2+y^2+z^2dV, where E is the ball: x^2+y^2+z^2≤49.
Disregard the differential lengths and imagine that the object is part of a spherical shell. It may be described as 3 # r # 5, 60° # u # 90°, 45° # f # 60°where surface r 5 3 is the same as AEHD, surface u 5 60° is AEFB, and surface f 5 45°is ABCD.
Use cylindrical coordinates.Evaluate the triple intergral 5(x3 + xy2) dV, where E is the solid in the first octant that lies beneath the paraboloid z = 4 − x2 − y2.
Use spherical coordinates.Evaluate∭z dV, where E is between the spheres x ^ 2 + y ^ 2 + z ^ 2 = 16 andx ^ 2 + y ^ 2 + z ^ 2 = 25 in the first octant.
find an equation of the form r = f (θ , z) in cylindrical coordinates for the following surfaces. x2 + y2 = 4
The radius r and height h of a right circular cone are related to the cone’s volume V by the equation V = (1/3)pair2h. a. How is dV/dt related to dh/dt if r is constant? b. How is dV/dt related to dr/dt if h is constant? c. How is dV/dt related to dr/dt and dh/dt if neither r nor h is constant?
Evaluate ∫W z dV, where W is the first-octant portion of the solid sphere of radius 2 centered at the origin. Do this in 2 ways: using cylindrical coordinates and using spherical coordinates.
A slender rod of constant density lies along the line segment r(t) = tj + (2 - 2t)k, 0≤ t ≤ 1, in the yz-plane. Find the moments of inertia of the rod about the three coordinate axes.
Use cylindrical coordinates to show that the volume of a sphere of radius a from which a central cylinder of radius b has been removed, where 0 < b < a, only depends on the height of the band that results. In particular, this implies that such a band of radius 2 m and height 1 m has the same volume as such a band of radius 6,400 km (the radius of the earth) and height 1 m.