Xn+e x1 = 1; xn+1 8

Q: Which of the following is an "even" function of t? O sin(t) / t O sin(2t) O 1-t^3 O cos(t) + t

A: Consider the function ft=sintt, gt=sin2t, ht=1-t3, kt=cost+t. Substitute -t for t in the functions…

Q: 14 players for a softball team show up for a game: (a) How many ways are there to choose 10 players…

A:

Q: I. Determine whether the infinite series is convergent or divergent. + 00 3. E, sin nT 3 4 Σ(-1)"-1,…

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

Q: (47 s - 2)e* + 4 s+ 2 s'(e* –1) 2) f(1)=4x -t, (0<t<27) Ans. F(s) = ,27s

A:

Q: The trace of an n × n matrix A = | a;| is the sum of the entries on its main diagonal and is denot…

A: Introduction: Matrix multiplication is divided into two types: Scalar Matrix Multiplication, in…

Q: tion of line of re egression coeff (y – 7)

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Q: Question 1 Let S be the surface that is the part of the plane x + y + z the first octant. Find a…

A: Given that S be the surface that is part of the plane  x+y+z=3       ...(1) lying in the first…

Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

A: Solution : Given Special angles are  QI   :  30° , 45°  , 60°  QII  :  120° , 135°  , 150°  QIII  :…

Q: Which of the following graphs have Euler circults or Euler trals? OA: Has Euler trail. DA: Has Euler…

A: Solution: Given that

Q: (a) Let S {C ): a, 6, c e Z, where 0 denotes the usual integer zero. Given that S is a ring under…

A:

Q: What is the order of G? 5 8 18 9

A: Order of a graph is the number of vertices. Here the given adjacency matrix A has 5 rows and 5…

Q: For the data (1, 9), (2 ,28), (3, 65), (4, 126), (5, 217) the highest order will be the fourth order…

A: Please post the multiple multiple question separately. Here I answered !st question as per our…

Q: Let 3. A 3. 6. 3. -3 3 6. Find an orthogonal matr P and a diagonal matrix D such that D P"AP. D = P…

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Q: -5r2 -2r3 +4r5 -2r6 %3D -#4 +5xs +5xg = -522 -8rs +4r6 = 22 +s +t tu 240

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Q: QUESTION 5 a) What is the maximum possible order of an element in S,? Give an example of one of…

A: (a) any element in S7 is either a cycle or composition of disjoint cycles.     Now, maximum order of…

Q: Find the characteristic polynomial of the matrix 3 -2 A = 4 -3 2 4 p(x) =

A: Given matrix is A = 3-2004-3240

Q: A Binary search tree was created by inserting the keys in the following order: 20, 10, 30 How many…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Exponential Regression The table below shows the value, V, of an investment (in dollars) after n…

A: Use the calculator to write the exponential regression as follows:

Q: Given the power series E (n - 3)(n + 1) A, x" n = 1 Use the technique that we covered in this lesson…

A: Given series is ∑n=1∞(n-3)(n+1)A2nxn

Q: Let d and e be metrics on a set X such that for each ball Ba center at pE X there exists a ball Be…

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Q: 4. Find the global minimizer of minimize a+a subject to a1 – 10 0 10 X1-10=0 f-64 f=16 f-1 12…

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Q: he given matrix equation In Exercises 6 -9, solve Assume that all matrices are invertible. 6. XA² =…

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Q: Find Newton’s polynomial that interpolates f(x) = x1 at x = 1, x=2,x=4,andx=5.…

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Q: (1) $5.9, Let X, be subspaces of R³ with bases given respectively by Bx = By (a) Show that X and y…

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Q: (b) Let R = {3n : n e Z} and let U = {6n : n e Z}. Assume that R, with the standard the standard…

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Q: 3η2 +1 5. E - 00 =1 6η2-2n+ 3 6 Σ(-1)"+ 1 - + 00 2n n!

A:

Q: The recreation center is hiring couns Summer camp. They need four cour

A: Given that for every 25 campers they need 4 counselors  to find the number of counselors needed for…

Q: Prove that the following sequence is cauchy sequence by definition (xn) = Vn +1– Vn Hint :…

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Q: Lét Let G = (V, be a graph with adjacency matrix A, where 0 1 0 2 1 1010 1 A = |0 1 0 1 1 2010 1 1 1…

A: We have to find the order of graph G = (V,  E) .

Q: IV. Let M(x,y) = x+y-3 and N(x,y) = x+3y-7. 1. Find α, β ∈ R such that if u=x-α and v=y-β, then…

A: Given that M(x,y)= x+y-3 and N(x,y)=x+3y-7

Q: The indicated function y1(x) is a solution of the given differential equation. x2y'' + 2xy' − 6y =…

A: Given- The indicated function y1x is a solution of the given differential equation. x2y'' + 2xy' -…

Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x) = -3(x+6)²…

A: Given function is g(x) = -3(x+6)2

Q: r = 3 + 2cos0, r = 3+ 2sin0

A: We have to find the area of the region that lies inside both curves.

Q: Please elaborate the equating the coefficient method

A: In a polynomial equation in the variable s, the coefficients of like powers s on the LHS must be…

Q: Find the characteristic polynomial and the eigenvalues of the matrix. 2 -7 4 -4 The characteristic…

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Q: (1) Determine whether or not the function u(t) = sin(2t) + cos(2t) is a solution to the differential…

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Q: a) ] Let W = span{(1, 1, 0), (1, 0, 1), (2, 1, 1), (0, 1,-1)}. i. Is (9,0,9) in W? Justify your…

A: Please post the multiple question separately. Here I answered 1st question as per out policy.

Q: iangle with an angles A

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Q: 16. Integrate f(x, y, z) = x + Vy – z? over the path from (0, 0, 0) to (1, 1, 1) (see accompanying…

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Q: 1) (a) Convert the following equations from parametric to rectangular. State the domain and range of…

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Q: 2. Let a Find the Span(a)

A: Given: a=00 To find: Span(a)

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: We have given a sequence ,  xn = 31 + 19 arctann17n If we say that sequence xn is convergent , it…

Q: Volume of Solid of Revolution

A: To find the volume of the given shaded region rotated about the y-axis. First find the value of m…

Q: . Solve the following problem with insulated boundaries: Uz = Uxx Ju,(0, t) = 0 lu(1, t) = 0 u(x, 0)…

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Q: Find the work done by force F over the given paths in the direction of increasing t. F = zi + xj +…

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Q: QUESTION 3 Find the eigenvalues of the given matrix. Enter your answers from smallest eigenvalue to…

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Q: 6a 7 - 8a3 (a >0) I cacose ava2-r2 Jo Jo z"dzdrd0 =

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Q: In problems 10 thru 13, evaluate the integrals around the circle Iz| = 2, counterclockwise. 1= dz.…

A: We have to evaluate the integrals : (7) I = ∮Cezz4dz  ;  where C : z = 2  in counter clock wise…

Q: Area. Suppose the area of a circle is decreasing at a rate of2m2/sec, the rate of change of the…

A: Introduction: We know that the area of the circle with radius r is given by, A=πr2

Q: Find the minimum values for the set of equations; indicate if the solution has on converged. x² +…

A: We are given the set of equations, x2+2y3-5=02x4+y2-9=0 We need to find The minimum values for the…