Minimize z = x, + 2x2 Subject to 2x, + 4x, s 160 X1 – Xz = 30 X12 10 X1, X2 2 0

Q: E = [tan(1 – i)]j[cot(1+i)]

A: Given E=tan(1-i)cot(1+i) Since we know the formula tan(ix)-itanh(x) and cot(ix))=-icoth(x)  

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Q: b) For the matrix -2 5 A = 3 \12 3 -2 -1 -5/ (1) (ii) Determine the characteristic equation and the ...

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Q: I. True of False Choose True if the statement is correct, otherwise False. 1. Matrices are often rep...

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Q: 3. Use the binomial theorem to find the coefficient of x³ in (x+2)13. 6. Use Definition 3.2 (page 85...

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Q: . Do the polynomials x? + 2, 2x? – x + 1,x + 2, and x² + x + 4 span P2?

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Q: Find the values of the unknowns using any method applicable. 5а + 2b — 6с + 4d - е %3D 6 2а - b — с ...

A: Given system is  5a + 2b- 6c + 4d – e = 6 2a – b -c- d = -1 3b + 3c + d = 0 3a + 4b – 1.5c + 5d + e ...

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Q: In problems 6 - 10, determine if the given series is convergent. Use ratio test, alternating series ...

A: Please post multiple questions separately.

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Q: Romberg integration is used to approximate dx. 1+x3 If R11 = 0.250 and R22 0.2315, what is R21? %3D

A: Solution 

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Q: Question 1 Determine whether each series converges or diverges. Be sure to name the test used and th...

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Q: HoW it aくく! -(メ)す |<X<2

A: We have given function ,  f(x) = 1 , 0 &lt; x &lt; 10 ,1 &lt; x &lt; 2 We know that Fourier series i...

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A: Given basis  B=1,0,0,0,4,-3,4,0,3

Q: subject direction : mathem atics in the modern world Determine The Truth OF each pre position T iF i...

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Q: [(5230°)(1+)][/cos(5 + j3)] log(2-) (1 - 12) Z =

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Q: [2 + i 0 2i Lo 3il b. Value of y 北- 1 2i 6. a. Value of x C. Value of z

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Q: 12, Show that ()() = (OC)- n-m' %3D 13. Show thet (A)

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Q: The center of mass is (x i) =] (Type an ordered pair. Type integers or simplified fractions.) 20 Fin...

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Q: 1- What is the value of f 3z2+7z+1 dz z+1 (a) If C is the circle |z+1|=1. (b)If C is the circle |z+i...

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Q: Find the volume of the solid that lies under the paraboloid z = 102 – a² – y² and above region R = {...

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Q: Which of the following functions are solutions of the differential equation y" + 4y = 32x? 4 Oy = si...

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Q: Ex: 1. Let (an) and (bn) be two diverge sequence show that whether (an + bn) is converge or diverge ...

A: Multiple :    Let , an  ,  bn are two divergent sequence. We need to check that whether an + bn dive...

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Q: (2 ) Consider the following system of differential equation, with time domain te (0,1): x' = -2x + 4...

A: The complete solution is in below

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Q: n a class of 24 students there are twice as many male students as female students. Twelve students h...

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Q: 1. Consider the sequence a = = {3,15, 75, 375, 1875, ...} a. What is the common ratio? b. What are t...

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Q: e. f(x) = 2* OA. O(x²) B. Q(x²) C. O(x²) В. f. f(x) = [x][x] (floor of x times ceiling of x) OA. O(x...

A: Option (B) is the correct answer.

Q: 1. y,=e"; y;=e*; L.I. 2. y, =xe"; y:=e"; L.I. 3. y, =senx + cos 2x; y;=3; L.D. 4. y, =x; y, =e; y,=x...

A: We have to check whether the given expression is linearly independent or not.

Q: y = e-3* is a solution of the differential equation - - 6y = 0 dz2

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Q: Romberg integration is used to approximate f(x) dx. If f(2) = 0.51342, f(3) = 0.36788, R31 = 0.43687...

A: Solution 

Q: Note: Show your work for theses problems. However, you may use a computer for matrix arithmetic. 1. ...

A: Use the slack variables to convert the inequality into an equation.

Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: 11n + 5 4n + 14 converges or diverges. If it converges, find the limit. Determine whether the sequen...

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Q: Which of the following functions are solutions of the differential equation y' + 2xy = 14x? 7x2+4 O ...

A: We find the solution of the differential equation and then compare the solution by taking suitable c...

Q: Given: A e M2x2(R). a. Given T: M2x2 (R) → M2x2 (R) as T(M) = AM, prove that rank (T) = 2rank(A). b....

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Q: B Suppose we want to find all the points on the surface gx, y) x+ 4y - 4 where the tangent plane is ...

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Q: e. f(x) = 2* DA. O(x²) B. 2(x²) Oc. O(x²) . f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) ...

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Q: Evaluate: 2sin(3i)cos(3i)

A: Given  2sin(3i)cos(3i) To solve we use following properties: 2sin(θ)cos(θ) = sin(2θ) sin(iθ) = isin...

Q: Question 2. Let G be a finite group, H < G, N 4G, and gcd(|H|,|G/N|) = 1. Prove that H < N.

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