Find cos 0, where 0 is the angle between two vectors a = 2i – 3j + 2k, b = -2i + 2j+6k

Q: . (1 + j3)z² + (5 + j6)z +7 – j6 = 0

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: A.2 Direction: Let p be the propošition “Mary loves John," and let q be the proposition “John loves…

A: This is a problem of propositional logic.

Q: Determine the value of k such that the system of linear equation has infinite number of solution. 4x…

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Q: 8. Construct the graph of the following Matrices: Adjacency Matrix 1 2 3 4 Adjacency Matrix 1 2 3 4…

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Q: Find the eigenvalues A1 < A2 < d3 and corresponding eigenvectors of the matrix -4 0 -7 A = 9. 3 The…

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Q: Determine the value of k such that the system of linear equation has no solution. x+2y + kz = 6 3x +…

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Q: Find an equation of the tangent plane to the given parametric surface at the specified point. x = u?…

A: Solution:-

Q: In a partially destroyed laboratory record of an analysis of correlation data, the following results…

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Q: -2 Find C, where matrix C = [3/2 -1/2

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Q: Find the all the roots of f (z) = 5z² – j11z – 2.

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Q: (ii) If Y = e*² error in Y at x = 2, if the error in x = 0.002. = et" + 3x + 4x, find the percentage…

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Q: Show that the function f defined by 1, (1, y) = (0,0) %3D f(r, y) = {1 +y (1, y) # (0,0) I+y is not…

A: The given function is f(x,y)=1 if (x,y)=(0,0)x2+yx+y if (x,y)≠(0,0) First we will show that the…

Q: test the convergehce and divergene ni+2"

A: Convergence or divergence of the series

Q: 2 csc x 1+ cos x 1- cos x

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Q: Question 2: Apply the modified Euler method (Runge-Kutta of order 2) with h = 0.1 to determine an…

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Q: Based on the table, use a left Riemann sum with sub-intervals given by the table to estimate the…

A: Given: Table of sub-interval x 0 5 6 8 9 f(x) 3 4 5 7 6   To find: Area under the curve

Q: 15. Let T : P, -→ P, be defined by T(a, + a,x+ a,x²) = (5a, + 6a1 + 2a,) %3D - (a, + 8a,)x + (a, –…

A: Follow the steps.

Q: Determine whether the following relation is an equivalence relation or not. (a) G = {(x, y) |æ…

A: We have to determine whether the given relation is equivalence relation or not.

Q: II. Consider the function g defined by 1 g(1, y) = cos (7I)+ log3(x – y) Do as indicated. 1.…

A: Directional derivative of a function g(x,y,) in the direction of unit vector  u^=a,b  where ∇g=gx,gy…

Q: Given that the matrix A has eigenvalues A1 = -5 with corresponding eigenvector v1 and A2 = 5 with…

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Q: 1 11 1

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Q: Find the Fourier series of the functionf on the given interval. Give the number to which the Fourier…

A: Fourier series of a function f(x) defined in -π,π is given by fx=a02+∑n=1∞an cosnx+∑n=1∞bn sinnxhere…

Q: Find the Fourier series expansion of: 0, -1 <a<0 f(x): f(x) = | sin 7x, 0<x < 1 and then use it to…

A: As per guidelines we experts are allowed to solve 3 sub parts at a time. so please reupload the…

Q: Find the Fourier series for: f(x) = -1, if – n<x< 0 if 0 <x < n

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Q: Consider the differential equation (x + y)dx – xdy = 0 with the initial condition that y=1 when x=…

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Q: Suppose that f : A → B is a function, C C B and D C B. Prove that Š (C – D) = } (C) - } (D).

A: Solution :-

Q: 1. Assign the maximum amount to this cell that is allowable based on the supply and demand…

A: Given: Let us consider the given statements and rearrange it.

Q: 5. Let o1, 02, 03 be the Pauli spin matrices (? 0 1 1 0 1 03 = 01 02 i and oo = I2. Consider the…

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Q: Give the adjacency matrix of the graph below.

A: The entries of the matrix are the number of edges from a vertex to another vertex.

Q: Evaluate the following Integrals: 1. (sin(4t) – 3 sin(2t)“ dt 6. Vsech(4x) tan (4x) dx 3 sin sinh 3y…

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Q: Find the matrix A. [2 -2 1] A 1 13

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Q: tan x (sin xXcos x) 1+ tan x L.S. R.S.

A: Solution of trigonometric Identity

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) 4r + 2y + z %3D subject to…

A: The given function is f(x,y,z)=4x+2y+z     andConstraint g(x,y,z) = x2+y+z2-1 The Lagrange…

Q: I. Show that the function ƒ defined by (1, y) = (1, –1) f(1, v) = { +g (z, y) # (1, –1) + y is not…

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Q: Q2/ In field work, vertical angles was measured from station A to stations B.C, as show in table…

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Q: 6. Find the rank correlation for the following data: 56 42 72 36 63 47 55 49 38 42 68 60 y 147 125…

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Q: See picture f(x) = 2L periodic extension to f for all other values of x Show that f and f' is…

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Q: Determine whether the function f : R → R given by f (x) = 4x + 6 is a bijective function.

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Q: Check whether the solution is balanced or not. Then, use the Northwest Corner Rule to find the…

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Q: A relief worker needs to divide 540 bottles of water and 144 cans of food into boxes that each…

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Q: Use resolution to show ∀x∀y[p(x,y) → ¬p(y,x)] models ∀x¬p(x,x)

A: Please look into the next step for detailed answer

Q: Integrate the following using the basic rules of integration and substitution 1. fx2 +5x3-x-³ dx

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

Q: draw its equivalent graph and determine if it has an euler circuit or euler path. if it has ,…

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Q: Numerical Methods a) Employ any suitable numerical methods to estimate the water level from t = 0…

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Q: 3. Let A : →P be given by I1 12 0, 2' 22 In A(T1,..., In, ...) = In,...) 2n a) Prove that A is…

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Q: Fit a straight line y = ax +b to the following data 3 8. y 3. 21 4.

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Q: IF R= 5B-2C find the value of the following 10 13 r21 16 12 #14 #17 #11 r22 #12 15 23 18 r33

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Q: example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: According to the given question, create an example to show the area between two curves and how to…