(h) Find Katz centrality. a e b d
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A: Line segment AB partitioned by point P
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A: here we have an assumption that the total flow into the network is equal the total flow out of the…
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Q: 4. For what value of h is vz in Span {v, v2} and for what value of h is {v1, V2, V3} linearly…
A: v1=1-32, v2=-39-6 and v3=5-7h
Q: Masses of 3 kg, 1 kg and 5 kg are located at points with co-ordinates (1,2). respectively.
A: Please refer to the image below
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A: In this question, we use the transformation under g(z) we find the image set.
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Q: y = (8+ z)-1/2, a = 8 %3D Find the Linearization at z = a. L(z) =
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Q: Which of the following sets is linearly independent?" {C 16 3 the above set the above set
A: The set is linearly independent if the elements cannot be written as a linear equation. Thus, if the…
Q: Q2: Find the total energy of the signal: fcos*(«) -sts π (x) Sts. x(t) : 0.w. (-R2, 0) (x2,0)
A: We will integrate the function in the given range.
Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. - 1/2 (u = v), y = 1/2 (u…
A: Jacobian ∂(x,y)/∂(u,v)= ∂x/∂u* ∂y/∂v - ∂y/∂u* ∂x/∂v
Q: Q#8) Find a suitable Linearization for f (x) = Cx + Dx³ (Don't find C,D) %3D
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Q: 2- Sketch the signal x(t) = u(t +1) + 2u(t) –u(t –1) –u(t - 2) -u(t-3)
A: Given signal is x(t)=u(t+1)+2u(t)-u(t-1)-u(t-2)-u(t-3) For signal u(t+1), graph is For signal…
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Q: p(x) = Describe the fibers of y.
A: This is the question of function and mapping. Fibers are actually pre-image under a map.
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A: differential equation representing disease with classes S , I , R dSdt=-βSI+γRdIdt=βSI-μIdRdt=μI-γR…
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Q: The linear operator T: R2 --> R2 defined by T (x; y) = (4x + 5y; 2x + y) is it diagonalizable?
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Q: Find the linearizations L(x, y, z) of the function at the given points. ƒ(x, y, z) = x2 + y2 + z2 at…
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Q: a)V=y?? +z²j+x?K bv-x3-xをK 2.
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Q: Use the Chain Rule to find ôz/əs and əz/ðt. z = tan(u/v), u = 4s + 7t, v = 7s – 4t Əz as az II
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Q: Draw a set of orthogonal 2d axes and illustrate the play that intersects at X=1/4, Y= 1 and Z=1/2…
A: Draw the axes and show the intercepts.
Q: Evaluate r(g(t)) using the Chain Rule: r(t) = (e', e", 4), g(t) = 2t + 5 %3D r(g(t)) = ( %3D
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Q: Let T : R² → R³ be the linear map given by [2r1 + 7x2] 2i + 22 Write does the matrix A associated…
A: The given linear map is T:ℝ2→ℝ3Tx1,x2=2x1+7x2, x1-x2, x1+x2 To find the matrix A associated with T…
Q: 1. Use the Wronskian to show that the functions are linearly independent. Yı = e*, y2 = e2*, y3 =…
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Q: a +c b+c b) h(a + bx + cx?) = %3D 1+b+c, Is this mapping linear?
A: Given : h(a+bx+cx2)=a+cb+c1+b+c To Find : Determine the given mapping is linear.
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A: This question is related to derivative of composite function.
Q: Show that t, e^t, and sin(t) are linearly independent.
A: In the given question we have to show that t, e^t, and sin(t) are linearly independent.
Q: Fit a linear function of the form f(t) = Co +cqt to the data points (-2, –19). (0, –6), (2, 13),…
A: The data points are (-2,-19), (0, -6), (2,3) To find a linear function of the form f(t)=c0+c1t using…
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Q: F. Refer to the figure where the gradient vectors of z = constrained max/min/neither? Classify C and…
A: We are given the figure of the gradient vectors of z=f(x, y).
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Q: Consider the map Xn+1 = aX, (1 – X;;), %3D where a > 1. (i) Find the fixed points of the map. (ii)…
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Q: A constant flow of 12,000 cars travel from A to B using the following map: B 14
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Q: Compute the Jacobian of the mapping. G(r, t) = (2re", 3 + 8e")
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Q: J f ds if Evaluate Of(x, y, z)=x+y, and C is the combinations of lines connecting adjacently the…
A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…
Q: 3. Determine whether the functions e and re are linearly independent or dependent by calculating…
A: f= {e^2x , x.e^2x} is Linearly independent if Wronskian is non zero.
Q: Use the chain rule and compute if z = x2 + xy, x = uv? + w°y = u + ve"
A: z=x2+xy3, x=uv2+w3, y=u+vew
Q: Find the linearization L(x,y,z) of the f(x,y,z)= 8 square(x^3+y^3+z^3) at the point (1,2,3)
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Q: c) Use the Chain Rule to compute %3D ds se In (c) express your answer in terms of the independent…
A: Here, the given functions are: f(x,y,z)=x4y+z4, x=st2, y=st,z=s2t
Q: Find the linearization L(x, y, z) of the f (x, y, z) = 2/³ + y³ + z³ at the point (1, 2, 3 Answer:…
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Q: Fit a linear function of the form f(t) = co +ct to the data points (-2, –14), (0, 10), (2, 22),…
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