Q.1 Use cylindrical coordinates to evaluate (x+y )dzdxdy

Q: J: Use cylindrical coordinates to evaluate the integral: 16–22 16–y²–22 drdydz.

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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: b.) √4-1²-² √3x²+3y² TEN nates. z dz dy dx from Cartesian coordinates to spherical coordi-

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Q: 4–x²-y² By using spherical coordinates, evaluate the integral x dz dy dx

A: Given integral is ∫01∫-1-x20∫z=04-x2-y2xdzdydx The objective is to evaluate the integral using…

Q: Evaluate the cylindrical coordinate integrals

A: To evaluate: ∫02π∫0θ/2π∫03+24r2  dz r dr dθ

Q: 3. Given the function, W=x²+y²-z?, using spherical coordinates equations, find the aw aw dw and дө

A: It is given that, w=x2+y2-z2 It is known, that cartesian coordinates can be written in spherical…

Q: Find an equation in rectangular coordinates for the cylindrical equation r = 5 cos(0)

A: Given: The equation r=5cosθ. Find the given equation in rectangular coordinates. The equation for…

Q: 2. Use spherical coordinates to evaluate the triple integral ||| æe xe²²+v²+z dV , where E is the…

A: Given:

Q: VI-y? rz²+y? I = f(x, y, z) dz dx dy.

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Q: 4-x² –y² b.) z dz dy dx -VI¬x² J /3x²+3y? from Cartesian coordinates to spherical coordinates.

A: We need to find the geometry of the given integral.  Then find the limits in terms of spherical…

Q: the LLE + y² + z*)% dzdydx 2n n 3 to spherical coordinates becomes the form TI sin(4)dpdød® True…

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Q: find an equation of the form ρ = f (θ , φ) in spherical coordinates for the following surfaces  z 2…

A: Coordinate systems are used to define the position of a point on an n-dimensional system. Some of…

Q: Evaluate the cylindrical coordinate integral. 1/2 18 1/r cos 0 dz r dr d0 0 9 1/?

A: Given that triple integration problem or cylendrical coordinate problem .we use simple integration…

Q: Which of the following is the cylindrical coordinates of (-1, -/3,2)? O a. (2, 품, 2) O b.(2, – 5, –…

A: Explanation of the answer is as follows

Q: 2. By changing to cylindrical coordinates, evaluate 2 2π Stt. [²* * cos p² sin³ o dp do dô 0

A: To Evaluate: The integral ∫02π∫0π/4∫02/cosϕρ4sin3ϕ dρdϕdθ by converting it to cylindrical…

Q: Find the cylindrical equation for (x-19)2 + y² = 19?. %3D a.r = 0 o b. r^2 = 361 O c.r = 38 cos…

A: This question is related to coordinate system. We will solve it using given information.

Q: find an equation of the form r = f (θ , z) in cylindrical coordinates for the following surfaces.…

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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: Find a spherical coordinate equation for the cone Z =Vx² + y2? Select one: а. 4 b. TT 4 С. 4 d. Non…

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Q: ارو رهجہ 10. Change dz dy dx into spherical coordinates and evaluate the integral. -1 0

A: ∫-11∫01-x2∫01-x2-y2e-x2+y2+z232dz dy dx To Find: Change the given integral into spherical…

Q: Find an equation of the form p = f (0, $) in spherical coordinates for the surfac z = 8

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Q: QUESTION 4. Convert the following iterated integral to cylindrical coordinates: la²–y² xz dzdx dy.…

A: Given iterated integral is  I=∫-aa∫-a2-y2a2-y2∫x2+y2axzdzdxdy we have to convert this into…

Q: Find an equation of the form z = f (r, θ ) in cylindrical coordinates for z^2 = x^2 − y^2.

A: z2=x2-y2

Q: c) Use spherical coordinate to evaluate UTM TM 1²+y? Væ2 + y? + 22 dz dy dx. UTM &UTM

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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: find an equation of the form ρ = f (θ , φ) in spherical coordinates for the following surfaces  z =…

A: To convert z=x2+y2, in spherical coordinates, substitute z with ρ cosϕ, x with ρ sinφ cosθ and y…

Q: c) Use the cylindrical coordinates to evaluate the triple integral. √9-x² 3 So So x+2 x+²y dz dy dx

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Q: Use cylindrical coordinates to evaluate each of the following: 1. SSL, z³dxdydz, where T: 0 <x< 1, 0…

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Q: find an equation of the form r = f (θ , z) in cylindrical coordinates for the following surfaces. z…

A: To find an equation of the form r=fθ,z in cylindrical coordinates of given surfaces: z=x+y Solution:…

Q: The value of Jacobian in cylindrical coordinate system is given by a. r b. r? sin e c. p2 d. rsin?e

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Q: find an equation of the form r = f (θ , z) in cylindrical coordinates for the following surfaces.…

A: Given: The surface, x2+y2+z2=4.

Q: Find an equation of the form r = f (θ, z) in cylindrical coordinates for the following surfaces. z =…

A: We have to convert the following surface into the equation of the form r = f (θ, z) in cylindrical…

Q: 4-22-y2 Compute y? Vx2 +y? + z² dz dx dy by converting to spherical 4-x2- coordinates.

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Q: (a) Express the following points in cylindrical and spherical coordinates: (i) P(l, -4, -3); and…

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Q: Find the cylindrical equation for (x-17)² + y² = 17². O a. theta = 6.28 o b. r^2 = 289 O c.r = 17…

A: Let's find.

Q: The cylindrical equation z = r2 represents which of the following? O a paraboloid O a semisphere O a…

A: The cylindrical equation z=r2

Q: (d) r2 + x? = 9 in cylindrical coordinates (e) pcos(o) = 1 in spherical coordinates %3D

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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…

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Q: 48. Use spherical coordinates to evaluate y'Vx +y +z dz dx dy

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Q: Question 7 Evaluate the triple by using cylindrical coordinates. LL x²+y)dzdydx

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Q: Use cylindrical coordinates. Evaluate 3(x3 + xy2) dV, where E is the solid in the first octant that…

A: Given: The solid E is in first octant that lies beneath the paraboloid z=1-x2-y2.

Q: Find an equation of the form p = f(0, $) in spherical coordinates for the surface. x2 - y2 = 36 p =…

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Q: The motion of a fluid particle is defined parametrically as follows, r(t) = sinh(t), and y(t) =…

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Q: For the following cylindrical coordinate (r, 0, z) of a point, find its associated spherical…

A: Given the cylindrical co-ordinates (r,θ,z)=(2,−5π4,−2)

Q: Find the cylindrical equation for (x-20)² + y² = 20². o a.r = 40 cos (theta) o b.r = 0 O c.r = 20…

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

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Q: 9-y2 18-22-y? Example 3 Convert a2 + y? + z? dz dx dy into spherical 1²+y? coordinates.

A: Given that: ∫03∫09-y2∫x2+y218-x2-y2x2+y2+z2  dz dx dy

Q: Evaluate fe kz ds where k is a constant and is the circular helix with parametric equations T = Cos…

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Q: c) Use the cylindrical coordinates to evaluate the triple integral. 3 √9-x² x+2 √x+²y dz dy dx So So

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

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