Ex6:compute 4Cメッッ) du where: 4(メy)4 メサ by using spherical coordinates system.

Q: (c) dz dy dx

A: Let's find.

Q: By changing to cylindrical coordinate, evaluate So So -1 c√1-x² 16 x² + y² x² dzdydx

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Q: WY is a midsegment of AUVX. If UV = s + 49 and WY = 4s, what is the %3D %3D value of s?

A: Midsegment of a triangle is a segment formed by joining the mid-points of any two sides. Such a…

Q: Use spherical coordinate to evaluate V1² + y? + z² dz dy dr.

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Q: Convert the following point from cylindrical to rectangular coordinates: 11T ,4.5 6 10,

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Q: Find the moving tri hedral of f R CE) = t, 2E> at %3D

A: This is a problem of differential Geometry.

Q: A) || Jx2 + y2 dA , R is the disk x2 + y? < 9

A: We have to use polar coordinates here.

Q: Q3// B Verify that dv3p'sin Ddpd@d owhen using spherical coordinate

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Q: Ir te line x34+2¢, もー4t paralled he plane 3x +y+そこ子-

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Q: Find and equatin for the parabolid z = x^2+y^2 in spherical coordinates

A: Given query is to find equation of paraboloid in spheo coordinates.

Q: Find parametrizations The portion of the plane 4x + 2y + 4z = 12 that lies above the square 0&lt;=…

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Q: T 27 Convert ( 5, from 3 spherical to cylindrical coordinates -5V3 ㅠ 5 5V3 5/3 7 5 4 2 (등급) 5V3 T 2…

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Q: Sketch the surfaces CYLINDERS z = y2 - 1

A: We need to sketch the surface formed by the function

Q: Give two different parametrizations of the line through (4, 1) withslope 2.

A: Solution:GivenA point(4,1) with slope 2Formula:Equation of the line at (x1,y1)y-y1=m(x-x1)

Q: How can I parametrize this 3D shape with two variables? x ≥ 0, 0 ≤ y ≤ x, x^2 + y^2 ≤ z ≤…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Solution:-

Q: ? Find the surface area of the plane ( 15x-5z+20y%3D35) if it is in the first octant

A: Here we have to find the surface area of the plane 15x-5z+20y=35 ................... (1) for the…

Q: solid that results when R is revolved about the y-axis.

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Q: Find a parametrization of the line in which the planes x+y +z= -2 and y +z= 6 intersect.

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Q: (c) Evaluate zdz dy dr using spherical coordinates.

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

Q: Tind he latance from the pomt (-2, 4) to tu plane 37+2y4 6E5

A: Given a point (1, -2, 4) and a plane 3x + 2y + 6z = 5

Q: 2. By changing to cylindrical coordinate, evaluate r1 (V1-x2 c16 L 2+y2x² dzdydx

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Q: B.2. Express to its standard form, determine the center, radius ar 10. x² + y? + 10x – 14y + 58 = 0…

A: # We are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: 1)calculate a*yz dædydz where D is the rectangular parallelepiped 1< « < 2,1 < y < 2,1 < z < 5

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Q: Use spherical coordinate to evaluate Vr2 + y? + 22 dz dy dr. 0.

A: We have to use spherical coordinate to evaluate the triple integral…

Q: 5. Evaluate /9 z² y² yVx² + y? + z² dzdrdy by converting to spherical coordinates.

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Q: The side of S is given by x² + y = 16, and its height is 4. (a) Give a parametric equation, r(t) for…

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Q: 5. Use spherical coordinates to evaluate r2+ y2 +22 dz dy dr. 16-

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Q: dx dy, where D is the disk x2 + y² < 9. (x² + y?)3/2 Evaluate

A: The given integral is,

Q: Find an equation of the conic described.Graph the equation.

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Q: 5. plot x?-y?=z (Elliptic paraboloid) in 3D.

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Find the angle between the two planes x- 2y + z = 29, 2x + 3y – 2z = 6. And also find the parametric…

A: here we will find angle between two planes and parametric equation of plane's line of intersection,

Q: Find the equation for the sphere centered M(2,-3,2) tangent to the D:6x-3y+2z-11=0 plane

A: we have to find the equation for the sphere centered 2,-3,2 and tangent to the plane 6x-3y+2z-11=0.

Q: Find the parametric equation of the line of intersection of two planes correctly: P1:x+3y+5z=0 and…

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Q: Evaluate: , S 9-2²-y? x² dz dy da, using cylindrical coordinates. 3 245 243 245 243

A: As we know that the cylindrical coordinates: x=rcosθ;y=rsinθz=z x2+y2=r2 dydx=rdrdθ Given:…

Q: dA, where K is the disk r + (y 2 +?

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Q: Use sine and cosine to parametrize the intersection of the surfaces x² + y² = 16 and z = 4x³. r(t) =

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Q: Find the moment of inertia of the plane area generated by the equations y = 8x³, y = 0, and x = 1…

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

Q: find The unit Vectors tangent and normal toThe ellipse x+ 2y=6 6at The Point (2,1).

A: I am going to solve the give problem by using some simple geometry to get the reuired result.

Q: Complete the parametric equations for the line where the planes 8x + 13y – z = 27 and 9x + 15y – 12z…

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Q: Write the covariant and the contravarian sor for the parabolic cylindrical coordina

A: Introduction: For n-dimensional space, the quadratic differential form dS2=gijdxidxj is known as the…

Q: 它们也称 Use spherical coordinate to evaluate Vr² + y² + z² dz dy dx. 0,

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Q: Use Spherical coordinates to evaluate Cx*+ ya+22)² dV where Bis the B. ball with anter at the ongin…

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Q: c) Use spherical coordinate to evaluate x dz dy dr 4-x²-y²

A: Sketch the region and find range of variable

Q: Where m = 90°, the solid of revolution determined by revolving right triangle about leg is a right…

A: Our Aim is to determine when m=90°, the solid of revolution determinedby revolving right triangle…

Q: Find the surface area of the plane ( 15x-5z+20y=35) if it is in the first ? octant

A: Solution

Q: Find a parametric function for the intersection of r – 3y + 4z = 0 and a? + y² = 9.

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Q: Q2 What are the parametric equations for the line through the point (6,-3,1) that is orthogonal to…

A: We have to find the equation of parametric line

Q: Enter the equation of the clrcle with the glven center and radlus. Center: (6, 0); radius: /7 The…

A: The equation of the circle with center (h,k) and radius r is   (x-h)²+(y-k)²=r²

Q: ) Evaluate x²dzdydx by switching to cylindrical coordinates.

A: To solve this problem we use her Cylindrical Coordinate .  x=r cos(theta)  y= r sin(theta) z=z