Given the matrix 6 0 0 A= 0 2 2 0 2 2 find an orthogonal diagonalization of A: A = QDQ"

Q: QUESTION 1 Consider the following LP model and its optimal solution: Maximize: z= 2X1 + 3X2+4X3…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 8" + n 7" -…

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Q: *Find a power series for the function, centered at c = 5, for the function f(x)=: 4 . State 2x +3…

A: Given fx=42x+3 and c=5

Q: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the volume of the solid…

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Q: For the function f(x) = tan(x), write Newton's formula as an+1 F(xn) = xn f(xn) for f'(xn). solving…

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Q: expand the series. (This applies to # 1 and # 2) Find the odd and even half range expansion of the…

A: The given function from the graph by using slope intercept form is fx=π-x where θ≤x≤π. Even half…

Q: United Metal, Inc., produces alloys B1 (special brass) and B2 (yellow tombac). B1 contains 50%…

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Q: A large aircraft is flying on a bearing of 300° (60° west of north) with an airspeed of 500 mph. It…

A: Given that OQ=500 mph∠POQ=30°∠OPQ=∠OTS=90°

Q: Forthe 0.D.E. find all epuiGbiun solitious esify Wem if possifle theun I

A: Introduction: Every higher order differential equation can be transformed into a system of first…

Q: The system of linear equations: 2x1 + 5x2 – 3x3 -3 6x1 – 2x2 – x3 = 3 a. is a 3 x 2 underdetermined…

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Q: 19. For the three-part question that follows, provide your answer to each part in the given…

A: Part (A): To write: characteristics of Stretch transformation. Part(B): To Write: the difference…

Q: d. The distance a freely falling body covers in the nth second is given by S(n)=d(n)-d(n-1). Show…

A: We know distance traveled by a freezing falling body in n seconds is given by  dn = 1/2(gn2)

Q: (b) Use the method of complementary functions and particular solutions, to determine the general…

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Q: Show that isomophism between group is an equivalence relation. Briefly explain and show all the…

A: Recall the definition of an equivalence relation. It satisfies reflexive, symmetric and transitive.…

Q: 6. ! Write down the relation matrix of the abelian group G specified as follows. G - {x, y, z, w |…

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Q: 7. Let U = {2, 3, 4, 5, 7, 9}, X = {2, 3, 4, 5}, Y = {3, 5, 7, 9}, Z= {2,4, 7, 9}. a) Draw a Venn…

A: We have given  U = {2, 3, 4, 5, 7, 9}  X = {2, 3, 4, 5}  Y = {3, 5, 7, 9} Z = {2, 4, 7, 9}  Here, U…

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z %3D subject to 2²…

A: Here the number of constraints is one that is g(x,y,z)=x^2+y+z^2-1=0, and the objective function is…

Q: 4. Arki Ramos recorded the following times assembling a watch. Determine (a) the average time, (b)…

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Q: Directions: Write T if the truth value is true and F if false. 1. Let Q(x) denote the statement "x…

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Q: Question 15 Demand Refer to the figure above or click here e to open the same image in Flickr if…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: 12 -36 -26] eigenvectors corresponding to these eigenvalues. 16 a. The matrix has eigenvalues A1 =…

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Q: 2n j3 lim - 24n n00 j=1

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Q: III. Find the parametric equations of normal line to the surface given by f(x, y) = tan 2 V + y? at…

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Q: Find the 9th term of the harmonic progression 3,2,3/2

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 1 Σ 3n2 + 6…

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Q: A region in the first quadrant, bounded by y = x² +1 and y= 9– x² part A Compute the area. Compute…

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Q: Identify a generating curve on the XZ-plane for the surface of revolution with equation x? + y2 + z?…

A: Given: Surface of revolution with the equation x2+y2+z2=e2x To find: Identify a generating curve on…

Q: Show the following series is conditionally convergent. -(-1)"

A: Given series is ∑n=1∞(-1)nn12 we have to the series is conditionally convergent.

Q: 15. Let f be the polynomial f(z) = z° + z5 – 8z3 + 2z + 1. Find the number of zeros of f in the…

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Q: Solve the following initial and boundary problems. Check your answer by substituting and explain all…

A: a)Given P.D.E.    xux+y2uy=0               u(x,0)=lnx   The Lagrange's equation ,    dxx=dyy2=dz0…

Q: Continue to assume that the height of your cylinder is 66 inches. Write the radius rr as a function…

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Q: Find the eigenvalues and eigenvectors ofA = %3D 2

A: we have to find eigenvalues and eigenvectors of the given matrix.

Q: Directions: Write T if the truth value is true and F if false.   2. Let P(x, y) denote the…

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Q: Solve the following differential equation y"+2y' +y=x-1 Select one: O a. YG.S= Ce+c2e° -2x +x-3 O b.…

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Q: Test for an ext remum o f t he functional 1 [2? y² + x? y']dæ, y(0) = 0, y(1) = 1 0.

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Q: Use Newton's method to approximate a root of the equation 4x° + 4x +1 = 0 as follows. Let x1 = - 1…

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Q: Two tugboats are pulling a ship, as shown below. Each tugboat exerts a force of 600 MegaNewtons (MN)…

A: Given- Two tugboats are pulling a ship, as shown below. Each tugboat exerts a force of 600…

Q: Let u = (x,t) represent the temperature of a hose with length L. The temperature with t= 0 is u(x,0)…

A: To solve following PDE using method of separation of variables :      ut=α2uxx ,  0<x<L,…

Q: 9. 2u(t) – 2u(t 2) 10. 2e* u(t) + 3u(t)

A: Finding laplace transform of given heavy side functions

Q: | Given the iterated triple integral -x²+9 [18-x²-y" /x2+y² dz dy dx. 0. 18-x2-у2 +y2 dz dy dx. -30…

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Q: 9. A group of 50 single men were asked which dating apps they had on their phones. The folle data…

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Q: What is the distance between the line with Cartesian equation x-8 = y-9 = z-8 and the line with…

A: We have to find the distance between two given lines.

Q: WHite the Nen secxand ordeequation as is equivalent svstem of hrst order equations. u"+7.5u-3.5u =…

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Q: For Items (b), label all important points such as intercepts, vertices of parabolas and hyperbolas,…

A: Given  S2:x24+y+12-z-323=1

Q: QUESTION 1 Consider the following LP model and its optimal solution: Maximize: z= 2X1+3X2+ 4X3…

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Q: Q3. Find the area of the region R that lies outside the cardioid r = and inside the circle r a(1+…

A: q-3 find the area of the region R that lies outside the cardioid r=a1+cosθ and inside the circle…

Q: 3. 4 sin 3t

A: We have to find the laplace transform of the given function.

Q: When "→" is understood as the material conditional, P(p → q) is equal to Multiple Choice   P(p) +…

A: When "→" is understood as the material conditional, P(p → q) is equal to

Q: A  40 meter squared (40m2) field was sampled using a  1 meter squared quadrat (1m2). There were an…

A: There are 40 meter squared (40 m2) field. And average 2 dandelions per quadrat.

Q: A toy factory creates miniature steel train engines and box cars. The fabrication department has…

A: We have to find the number of miniature steel box cars and steel train engines to maximize the…