If x^2 + y^2 =14 and x+y=6, find xy.

Q: Solve the system +x2 -1 x2 +x3 -5 +x4 1 +x4 +s x3

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Q: Reduce the matrix -1 2 -2 2 A = 3 3 -1 3 2 21 to reduced row-echelon form. -1 2 -2 2 1 4 19 1 4

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Q: L. If f(x) = J dt, (1 + sin(tº )]dt , find f'(#)- dt, where g(x) =

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Q: Which of the following is NOT a correct way to express the vector v = (2,-4) a) 2î - 4) where î =…

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Q: • Vising the conept f Stalce's Thenaen, simplisy the folents ufa integul $. (2-g) dx +(x-2) dy +…

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Q: 4. The payoff matrix for a game is 4 -3 3 A = |-4 2 3 -5 2 (a). Find the expected payoff to the row…

A: Given,A=4-33-4213-52To find: Expected payoff in part a) and b) subjected to different conditions…

Q: Line M is parallel to line L. Name the angles which are congruent to angle RI B P. M R. A P and D B…

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Q: 3. Sixteen new police officers are to be assigned to four precincts. The population of the precincts…

A: # As per the guidelines we are entitled to solve one question (maximum three subparts ) at a time…

Q: 4. Let bo = 1, b = 3, and for each integer k > 2, we have br = 4bx–1 – 4bk–2 Prove that for all…

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Q: Find the volume of the indicated region. the region bounded by the cylinder x2 + y2 = 49 and the…

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Q: 25. The table below shows the rabbit population on a certain island where t is the number of years…

A: 25. a) Relative growth rate is given by: R=Population in the given yearPopulatiohn in the previous…

Q: Invalidity: Use the finite universe method to show that the following symbolic arguments are…

A: We have to prove the following symbolic arguments are invalid. ∃y Ky → ∃y Ly ∴ ∀y (Ky → Ly)

Q: Find the Laplace transform of 0, 0, t < 4 f(t) = l12 – 8t + 22, t24 -

A: Laplace transferom of pice wise function

Q: PROB.NO. 1 A) USE PROPERTY 9 (EXPAND ABOUT COLUMN 2, REF. ELEMENT = a23) 1 3 5 7 det A = 4 8 5 7 11…

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Q: 1. The solution of the differential equation (x + 1) +o +1) = 0 is C. y = x(x - 1) D. y = A y=2+x B.…

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Q: Evaluate the Riemann-Stieltjes integral cos(r) da(r) where a(x) = E 2-"I(x – n-1).

A: Given:Integral ∫02Cos(x) dα (x)where α(x) = ∑n=1∞2-nI(x-n-1)

Q: Explain two ways a graph could be misleading.

A: Misleading graph: Any graph that distracts the reader from fully understanding.

Q: Use Gram-Schmidt to find q1, q2, q3 (orthonormal) as combinations of a, b, c (independent columns).…

A: The given matrix is: A=124005036. To find: An orthonormal basis using Gram-Schmidtz…

Q: Find the area of the plane region bounded by y = x°, x = -2 and x = 2. %3D Answer:

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Q: Find J29 by Newton-Rap h son method ( E 0.000l

A: Find the appropriate value of square root of (29), using Newton Raphson method

Q: Let a, be an odd integer for each integer n > 1. Prove that if n is odd, then the sum Eaj is odd j=1…

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Q: Evaluate y" - 2y' + 5y = 0 y (0) =1, y'(0) =3 Select the correct response: y = e^t cos 2t + e^t sin…

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Q: Solve the following problem using the standard simplex method. Minimize C =-4x - 7y Subject to 6x +…

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Q: A circular staircase(s) is placed in the centre of a circular hall. The remaining floor area is…

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Q: Alea would like to buy a $150,000 home.  She plans to pay 16% as a down payment and will take out a…

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Q: 5. The matrix A = , ) (오 has -3. an eigenvalue of 2 = -2. -2 Find an associate eigenvector K for…

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Q: Find the inverse Laplace transform of F(s) s2 + 2s – 3 . (Use step(t-c) for u.(t) .)

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Q: Find the inverse LT of: F(s) = 28+16 g2 -16 cos 4t – sin 4t cosh 4t – sinh 4t 2 cos 4t + 4 sin 4t 2…

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Q: Find the coordinates of the centroid (to the nearest 0.01 in.) of the uniform flat-plate machine…

A: The solution is given below

Q: Find the volume of the solid generated by ing the region about tne given line. 2x The region in the…

A: Given: y=2y=2x5x=0 To find the volume  generated by revolving around the given region

Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

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Q: A 2. Which graph is the solution to the following system of inequalities? -y > (x – 1)² - 36 49 y>…

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Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

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Q: B A E G

A: How many vertices in the graph below have even valences

Q: 28. Chromatic questions (ExH). Find the chromatic number for each graph below. (a) (b) (c) (d)…

A: To find- Find the chromatic number for each graph below.

Q: 3. One way to mathematically represent the interaction between two phenomena, processes or…

A: We will construct a system of differential equations to represent the progression of an infectious…

Q: Use undetermined y"-9y 3e* Y (t) = %3D

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Q: Determine for each strategies matrix maximin and minimax two -person I zero- sum game. A 3 2 -2 3 4…

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Q: $55. The original markup was 46% based on selling price. Find the final sale price (in $) after the…

A: Given, The wholesale price of a birdcage is $ 55.The markup of 46% on selling price that has been…

Q: Determine whether the relation represents a function. State the domain and range of the relation.…

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Q: a2y" - 5ary/ + 8y= &z$, y(글) =D 0, y'(글) = 0.

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Q: The graph of the solution region for a system of inequalities is shown below. 15 14 13 12 10- 7 6

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Q: Evaluate inverse Laplace of [1/ s(s + 3)) Select the correct response: O 1/3 - 1/3 e^-3t O 1/3 + 1/3…

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Q: cos (n) 4. Determine whether the series E absolutely convergent, or divergent and explain why. is…

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Q: Find the reciprocal of (1.5 + j2.5)

A: The given complex number is 1.5+j2.5 This can be rewritten as 1.5+2.5j The reciprocal of the given…

Q: det A = 9214녀 Nor4 N 5 O o 2NN

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Q: Find the eigenvalues A1 < A2 and associated orthonormal eigenvectors of the symmetric matrix [3 1 1…

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Q: 7. Sketch the region of integration, and evaluate the integral. 2 2x r SS S- zdz de dr

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Q: p: You study hard. q: You eat your Wheaties. r: You fail the exam. What is the statement (p A q)…

A: In this question, the given statement is converted into logical form. p:You study hard.q:You eat…

Q: y(6) – 4y(5) +3y/9) =-27 %3D

A: