Dijkstra's shortest path algorithm is run on the graph, starting at vertex E. 8. C E 6 4. В A Upon completion, what is each vertex's predecessor? А: Pick O В: Pick O C: Pick O D: Pick O E: Pick O

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Q: 1. Find the three cube roots of z =-j and sketch the result in a single Argand plane. (express…

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Q: (a) V16x"y 16 (b) Vóx(V6 + (245 - 3) (c)

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Q: Part 2. Prove that the following are equivalent A. by Constructing a truth table 1. [p V (~p ^q)] +…

A: We will use truth tables and rule of replacements here

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A: Basis for Row(A), Nul(A) and Col(A)

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A: The equation of line of best fit is given below. y=0.4x+23.39

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A: We use residue theory to evaluate this integral. Also basic properties of definite integrals will be…

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Q: Consider the system of differential equation æ1' = t°x1 + 6 sin(t)x2 x2' = t°x1 + e*æ2 Write the…

A: System of differential equations

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A: N(x) : x has visited Palawan Domain : students in your school

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A: Disclaimer: Since you have asked for hand written solution and currently we are not providing any…

Q: 4. The diagram shows the point A(-5, -6, - 1) a) Name the coordinates of the points B. G D. G b)…

A: From the given figure  where  OD=1 unit in negative direction along z-axisOF=5 unit in negative…

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A: Here we use basic property of matrix and linear transformation

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Q: Let f (x, y, z) = -12x? – y + 5z?. Calculate Vf (0, 5, 6). %3D (Write your solution using the form…

A: Solution

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A: We have to find the positive root in the 4th iteration of the given equation in the interval 1,2…

Q: a) Given the following Linear Programming (LP) problem: Minimize z = 2x, + 3xz Subject to x, + 3x, 2…

A: It is a Linear Programming problem and I solved it using Two-Phase method in the next steps.

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Q: Show that if a and b are integers and m and n are positive integers such that n|m, then If a = b(mod…

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Q: Suppose a 6x8 matrix A has three pivot columns. What is nullity A? Is Col A = R3? Why or why not? ..…

A: Nullity of A and Col(A)

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A: This is the problem of vector analysis.

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Q: What are the potential equilibrium values for x2 in the following state space model? *1 = x1 + x2…

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Q: 19. Solve y'(1) + y(t) = sin t; y(0) = 1 by Laplace transfrom. %3D

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Q: 2. Prove that if a = b( mod r) and c = d( mod r) then a – c= b – d( mod r)

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Q: Find approximate value of the following integral by using the trapezoidal rul 10 " 10 sin(20x²)dx…

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Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper cone z2 = 4x2…

A: We have to find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper…

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A: a) Longest side of orignal figure is 8 units. Now after dialation with scale factor of 14, longest…

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Q: The complex number z is defined by z = 3·z + 4.j where z is real. a) Find, in terms of z, the real…

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Q: Determine whether the improper integral is convergent or divergent, and find its value if it is…

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Q: Question 8. Define a relation ~ on the set of rational numbers Q by a ~ b iff |a| = ||| (a) Prove…

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Q: Determine if the function is continuos. If the function is not continuous, find the x-axis location…

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A: According to the Gauss Divergence Theorem, the surface integral of a vector field A over a closed…

Q: 6.2. Let F be a vector field defined on all of R°, except at the two points p = (2,0,0) and q =…

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Q: The complex number z is defined by z = 3 -z+4·j where z is real. a) Find, in terms of z, the real…

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Q: The directional derivative of the field u(x, y, z) = x² – 3yz in the direction of the - vector (i +…

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Q: A 100-L tank was initially empty, but is to be filled with salt-and-water solution. The way the…

A: The given volume of the tank is 100 L. Let v=1+cos2t and cs=0.21+cos2t. The initial time is 0 min…

Q: 5. An n x n matrix P is said to be orthogonal if P'P = I. (P'P is "the matrix product of P-transpose…

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Q: Reduce to the form x + yi : 2 logsinh (-i+2) 40ežmi

A: We have to reduce following expression to the form x+yi :          logsinh-i+240e23πi Pre-requisite…

Q: Suppose p and q are distinct prime numbers. Find the number of positive integers r < pq such that…

A: We use Exclusion - Inclusion principle to solve this problem.

Q: 2.f(t) = cosh wt sin wt

A: