Using spherical polar coordinates, find Vf for (a) f = r4 (b) f = r2 +1 (c) f = r2 sin 20 cos o
Q: Evaluate the line integral 8xy ds, where C is the right half of the circle x? + y = 25.
A: Solution: The equation of the circle is given as: x2+y2=25,radius r = 25 x= 5cosθy=…
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Q: F1 = 400 N and F2 = 600 N, determine the angle 0 between a magnitude of FR = 800 N. F2
A: Given that,Force : F1 = 400 (N)Force : F2 = 600 (N)Force : FR = 800 (N)Here we need to find the…
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A: Given:- The two-point on the xy plane as A= 2,-3 m B=-4, 3 m Find:- a) The distance between the…
Q: Example 2; find O between A¯and B'? A¯=2î +3j +k , B =3î -2j +K
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
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Q: Q2: Show that (A, Ay, A) are related to (Ap, A,Az) using the following matrix: cos o -sin o 0 Ao A…
A: Ques: SHOW THAT
Q: Cartesian to Spherical Given a point P = (-2,6, 3) and a vector A = ya, + (x + 2)a, are in Cartesian…
A: Given: A point P=(x,y,z)=(-2,6,3) A vector A⇀=yax^+(x+z)ay^ Calculation: (a) In spherical polar…
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Q: Suppose that Ø =2xy +z^2 find VØ at point (1,-1,3) and what is the component of VØ in the direction…
A: ∅=2xy+z2∇∅ = ∂∅∂xi+∂∅∂yj+∂∅∂zk=∂∂x2xy+z2i+∂∂y2xy+z2j+∂∂z2xy+z2k=2yi+2xj+2zk=2yi+xj+zk ---(1) Hence…
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A: Given, x=ρcosφy=ρsinφz=z So, ρ=x2+y2φ=tan-1yxz=z Then,…
Q: Find a unit vector parallel to the resultant vectors y, = 12i – 6j + 4k and Y: =- 8i + 3j – 5k.
A: …
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A: Third option is true f(x, y, z) = f(y, x, z)
Q: or the two vectors: (vectors)G= 2ˆi-3ˆj+1ˆk and (vector)H= 2ˆi+1ˆj-1ˆk what is (vector)G· (vector)H?…
A: Given data The vector G is given as G→=2i^-3j^+k^. The vector H is given as H→=2i^+j^-k^. The dot…
Q: -2n de The value of the integral I = o 2+cos 0 2n V3 V3
A: Solution: Given Integral equation is as follows: I=∫02πdθ2+cosθ We know that,…
Q: b) Consider two vectors ä = î-2) + 3k, and b = 3î - 2zj + 5k, where z is a scalar. vector & such…
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Q: Two vectors P= 2i + bj + 2 and a-i+j+k will be parallel if (d) b=- 4 (a) b= 0 (b) b = 1 (c) b = 2
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Q: 2)Find the angle between ( Ä – ) and À , for A = 41 + j+ 2k and B= 2i +3j+k.
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Q: TU D B А Given Â= 1.00 – 1, B= 2009. Ĉ= -3.00 D=-4.00 9. and R=A+B+C+D, Calculate R.
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Q: The spherical coordinates of a point (x, y, z) are unique. O True O False
A: True, the spherical coordinates are unique
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A: Given:Coordinates of P: P=Pcyl1,90°,1Coordinates of Q: Q=Qcyl0,0°,1 To obtain:The length of the line…
Q: Let A=5i-6.5 and B=3.5i-7ĵ . If lies in the xy-plane, Cis perpendicular to À , and Č-B=15 , what is…
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Q: Let A = (2i + 6j)m and B= (-i+ 2j)m . Find the magnitude of 2A – 3B O 8.22 O 6.22
A: A=(2i+6j) m B=(-i+2j) m
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Q: 7. Find the volume of tetrahedron hav (-1-k), (4+5+qk), (37 End the value of q for which these four…
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Q: = 2. At any point of the curve x Tangent vector 3 cos t, y = 3 sin (ii) Unit tangent vector
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Q: Let a=i-2j-2k and b=6i +31 + 2k; Find? (a) a + b and ab (b)-2a+ (c) The magnitude of a and b (d)āx b…
A: Given:- a→= i^-2j^-2k^b→= 6i^+3j^+2k^ Find:- a) a→+b→ and a→-b→ b) -2a→+b→3 c) The magnitude of…
Q: K is a vector field and V is a scalar field. The divergence of K is equal V; that is V = V.K.…
A: This problem is from Electrodynamics. Let's solve it step by step. Please have a good look Given…
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