Find the general solution of the system whose augmented matrix is given below. 1 3 1 2 4 12 2 -2

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Q: 31.log13(68)

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Q: The given family of functions is the general solution of the differential equation on the Indicated ...

A: The given problem is to find the member of a family of solution to given differential equation and i...

Q: iii Let f(x) be any continuous function and f(c) > 0 for some c. Find an interval (a, b) containing ...

A: Please check the answer in next step

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Q: Solve the following system of equations by LU decomposition: 8x1 + 4x2 - хз %3 11 -2x1 + 5x2 + x3 = ...

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Q: 4. Determine whether the sets span R' for part a and R' for part b. If the set does not span R? for ...

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Q: The Wilsons have triplets and another child who is eleven years old. The sum of the ages of their ch...

A: We need to formulate a linear equation using the provided data. The linear equation can be solved fo...

Q: Use the method of reduction of order to find a second solution to t’y'" + 2ty' – 2y = 0, t > 0 Given...

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: Find the general solution of the given second-order differential equation. y" + 6y' + 9y = 0 y(x) = ...

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Q: (1) profits from selling the juice (2) cash flow generated by the futures contract. Can you write do...

A: The complete solutions are given below  

Q: 4. Consider the cone z = x² + y?. (a) Show that the tangent plane to this surface at any point (xo, ...

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Q: Task 3 (a) Write down what a system of two linear equations in two unknowns would look like in Crame...

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Q: dy 12

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Q: A naval cruiser on maneuvers travels 54.0 km at 18.7° west of north, then turns and travels 64.5 km ...

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Q: 2. Let A be non singular. Show that if Ax = 0, then x = 0.

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Q: The number of women graduating from 4-yr colleges in a particular country grew from 1930, when 48,85...

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Q: A. Find the value of x. 61 = x ( mod 7) 1. 71 = x ( mod 8) 2. 5) 89 = (x + 3) ( mod 4) 78 + x = 3 ( ...

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Q: New program: Objective function: Maximize Z = 2x, + x, + 3x, + Os, + Os, + Os, Subject to: X + X2 + ...

A: Here the new program is                 Objective function: Maximize Z=2x1+x2+3x3+0s1+0s2+0s3       ...

Q: 7) Suppose T E L(V) is diagonalizable. Prove that V = null T' range T.

A: We use basis for V and T is diagonalizable.  

Q: Biologists stocked a lake with 800 fish and estimated the carrying capacity (the maximal population ...

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Q: Solve for the missing lengths and angles.

A: consider the following figure given that OA= AB therefore OA= 6 cm  Now OA and OC are radii of same...

Q: Let a be a positive real number. Evaluate va² – x?dx.

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Q: Find the Laplace transform of the following functions: 2 if 0 < t < 1 2. f(t) = {312 if 1 <t< }T cos...

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Q: (x+1)dy = (2xe* - xy - 2y)dx %3D

A: Given  x+1dy=2xe-x-xy-2ydx....(1) Here, we have to solve the differential equation.

Q: aving characte -Р3 — Р2 — Р

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Q: 6) Suppose V is a finite-dimensional with dim V > 1 and T e L(V). Prove that {p(T)lp € F[x]} # L(V)....

A: The complete solutions are given below

Q: use secant method (root-finding method) for the function f(x)=x^2-3

A: We have to find root of the given problem by secant method.

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Q: Find the equahon of the locus of a from (-2, 1,-2) and (2,-2,3) point equidistant

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Q: Suppose that (x, y) E (A \ B) × C, for sets A, B,C C S. Then a E A and r¢ B, and y E C. This implies...

A: Use the following definitions, to prove the given result. Let A and B be two sets. The Cartesian pr...

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A: When a sentence is assertive and it is either true or false, it becomes a statement. Any statement c...

Q: Simplify i1997+ j1999, where i is an imaginary number (A) 1+i в) і B c) 1-i D) 0

A: We know that i=-1. We also know that: i2=-1i3=-ii4=1

Q: 11. When babysitting Nicole charges a flat fee of $12, plus $5 per hour. Write an equation for the c...

A: As given by the question There are given that the charges for babysitting is $12. And, Additional ch...

Q: The figure shows a topographic map. Stacey is at position S and Amy is at position A. Travis, a thir...

A: Given: Distance between Army and Travis on map = 0.50 inch 1 inch =1600 ft

Q: If the curve 'C' is given by |z - 3| = 4 then %3D the value of e2 dz is (z+2)(z-3)? EER

A: The given problem is to evaluate the given complex integral over given curve, we have to use Cauchy ...

Q: Solve the following inequalities by the verification method and indicate the solution set on the rea...

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Q: Find an equation of the plane that contains the curve with the given vector equation. r(t) = (5 sin(...

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Q: Compute the convergence set for the following power series. Use interval notation for your answers. ...

A: The given problem is to find interval of convergence for the given power series.

Q: 8) Suppose V is finite-dimensional, T E L(V) had dim V distinct eigenvalues, and S E L(V) has the sa...

A: As given by the question There are given that the v is finite-dimensional. And, The distinct eigenva...

Q: 2 the Istoctant In neetayulan condinates) desersha the uilume in hand hy y= 2x y= 9x X= 10 x* + ye +...

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Q: Maximize z = 8x + 2y subject to: x+y< 4 2x + y <5 x 2 0, y 20 The maximum is at (Give this answer as...

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Q: Consider the differential equation dy/dx = 3 - y. (a) Elther by inspection or by the concept that y ...

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Q: Word Problems: Read each problem carefully and answer what is asked. Label and box your final answer...

A: The area of a circle is calculated using the formula: A=πD24. The circumference of a circle is calcu...

Q: 3) Suppose T E L(V) and T² = I and -1 is not an eigenvalue of T. Prove that T = 1. %3D

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Q: What is the quotient when 4 +8i is divided by i3

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Q: (a) Evaluate sin 2z dz, 3z -71 where C is an anticlockwise unit circle centred at the origin. 4.

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Q: What is the value of the constant for the convoluted sea? Acaog Z) =(5X+7y)È+(39-5z)Š+(2x+1.z)l

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Q: Sinx Show that gy (x) = conyergos !ナx uni formly to xe Ci,6]

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Q: Consider the following differential equation: x?(1 – 2x)y" + 3xy' + (1 + 4x)y = 0 (2) (a) Find the s...

A: This question is solved by frobenius method . Solution of part a and b are given below.