he function f(x)=3x2+2x

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Q: (5z + R)uz + (7z + R)u, R (b) (z+ R)uz + (y + R)u, = R+u? %3D

A: General solution to the differential equation

Q: page 40 PAPER 1 4. INDICES AND SURDS N2019 3 Do not use a calculator in this question. In this quest...

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Q: Q1. Test for convergence of the following alternating series 00 Er-1"+1_n+1 E(-1)"+1 In +1 n=1

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Q: Use Cauchy Criterion to prove that the sequence {sn} converges where Sn + Sn-1 Sn+1 n > 1, 2 and whe...

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Q: Evaluate the double integral f(r, 0) dA. 2 sin(0) cos(0) dr de Sketch the region R. A/2 T/2 3h 2 1 -...

A: Evaluation of the double Integrals  

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Q: 6. A population of fish is living in an environment with limited resources. This environment can onl...

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A: It's given that

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Q: 1 What is the order of the following matrix? (4 9 2 -1 3 57 6 (8 1 6 3 4x3 3x4 The dimension of matr...

A: To find  The order of the given matrix. 

Q: 1 dy = ? then dr If Y = x² + c O 2a2 2 dy If y = 6x° + 2.5x² + 7x + 2 then dæ 을머 + 응교3 + 글22 + 2꾜 +c...

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Q: Find the distance between parallel lines x - 2y - 8 = 0 and x - 2y + 8 = 0. Select one: O a. 9.24 O ...

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = x², y = 2x

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Q: E (e+1)" converges for 3" n=0 None of these O-4 < x < 2 O-4 < x < 2 O-4 < x < 2 O x < 2

A: To find  The interval of convergence. 

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Q: 26-2. Find the same minimum of 26-1 using Lagrange's undetermined multiplier method. Define the Lang...

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Q: POSSIE What is the correct table for the following: {(3,4), (9,1), (10, 5), (2, 15), (8,4)} {(8, 22)...

A: Relation : Let us consider the set A and B then the relation between set is represented as R=(x,y)|x...

Q: Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 15 5] 5...

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Q: 0 -3 -71 -3 -3 | has an eigenvalue A = 4. The matrix A 4 -2 2 4 Find an eigenvector for this eigenva...

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Q: Which of the following correctly switches the integration order for Vuta.u I f(x, y)dydx? | f(x, y) ...

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Q: Find the centroid

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Q: 1 Set up and evaluate , 6x dA, where R is the rectangular region with corners (-2, 0), (3,0), (-2, 2...

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Q: Consider the variable coefficient linear second order non-homogeneous ODE a?y" – 2xy + (x² +2)y 3x3 ...

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for you...

Q: 2Ct-3) Cos Ct-3)

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Q: n2n n=1 (1+n)n O converges O diverges

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Q: Find the centroid of the solid generated by revolving the region about the indicated axis the area b...

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Q: [18] Solve the following problems by the method of undetermined coefficients. (a) Solve y" + 4y + 4y...

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Q: - 75ec 3x+tan 3x(sec 3x+tan 3x) cos 3x dx (7sec 3x+tan 3x)In 7 + C 7secax+tan ax + C 7 In 3 3 O c B ...

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Q: 8. Solve the differential equation (x+y) = a². dx dy Solve the differential equation tan (y- x)= 1. ...

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Q: 4 If A is a symmetric matrix, then At = |A| O A diagonal matrix

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Q: 1 Q.3 Evaluate ((s+2)(s² +4)]

A: The given problem is to find the inverse Laplace transform of the given function Y(s) Given Y(s)=1/(...

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Q: Given f(x) = ,*, find the critical number(s), the intervals on which the function increases and decr...

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Q: Let f be a uniformly continuous function on (a, b) and suppose that {xn} is a Cauchy sequence in thi...

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Q: X + 5y + 15 z+35 w + 70t = 0 X + y + z + w +t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20w + 30...

A: We solve the given system of equations by using Gauss Jordan elimination method.

Q: 2. i) Give an example of a nonzero continuous function f on [0,1] such that f(x)dx = 0.

A: We have to give an example of a nonzero continuous function f  on [0,1] such that  ∫01f(x)dx = 0   

Q: Consider the function f : [a, b] → (a, b] with ƒ being continuous. Show that there is a number c in ...

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Q: 8 Matrix A = | 1 2 3 4 5 6 Matrix B = What is AB ? a) 10 b) (2 6 10) c) (4 8 12) d) 8 12

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Q: (-5)* Consider the series ak (5k +7)!" k= k-1 a) What is ak+1? ak-1 ak+1, b) What is ak ? ak-1/ak = ...

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Q: me Ik Pi p then

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Q: Show f(x) = x/4 – In(x) is positive for x e R sufficiently large. As well, use the p-series 1 to sho...

A: We have to check whether given series is convergent or divergent.

Q: 2. Determine the first root of the function f(x) = te" -0.3. Using two iterations of the bisection m...

A: The solution of the problem is given in the next steps.

Q: -2 -5 8 0 -17] 1 1. Consider A = -5 1 5 11 -19 7 1 1 7 -13 5 -3 a. Find the basis for, and the dimen...

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Q: (c) If F(x) = San x Jesa dt find F'(x).

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Q: Let {ui, u2, u3} be a linearly independent set of vectors. Select the best statement. A. {u1, u2, u3...

A: Linearly independent set of vectors

Q: The number of bacteria N in water after t hours is modeled by N = 125e0.8t . Find the current number...

A: Given that the number of bacteria N in water after t hours is modeled by N=125e0.8t. We have to find...

Q: 5 2 -4 Is = 7 an eigenvalue of 3 2 4 ? If so, find one corresponding eigenvector. 0 1 Select the cor...

A: