Find the midpoint M of the line segment joining the points A = (7, 1) and B= =(1, 5). %3D %3D M = OD

Q: (iii) 1 + 1 33 + ... 22 + 22 33+

A: given series test for comparison tests - apply this comparison test to a given series the auxiliary…

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Q: 1. Use Euler's method to approximate the solution of the following initial-value problem at t = y' =…

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Q: Jump to level 1 Fil in the missing entries to cormplete the adjacency list representation of the…

A: Adjacency list representation of a graph represents the graphs as an arrays with vertices. An entry…

Q: If f (z) = 4z +7 and f (z) goes through the point (2,4) then f (z) =... 12z + 7x O 1' +7z +c…

A: Here given that f'(x)=4x3+7 and f(x) goes through the point (2, 4). We have to find f(x).

Q: (Prove that): く 107 112 :117 •122 (i) i (ii) i" +i" +i n + 1 n +2 n +3 = 0, %3D ne N .10 (iii) 1+i…

A: complex

Q: Express each one of the following in the standard form a + ib. 1 (1+ i)? (iii) 3 - i (3+4i 1 + 1- 2i…

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Q: Solve the following integral equation using Laplace transformation y(t) = 1+ cos(t – u)y(u)du

A: We have to apply the Laplace transform to solve the given problem.

Q: (z–4– 3i)* k=0

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Q: How can you relate the topic derivative in your life day to day as a student? Pleasee helpp me this…

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Q: The binomial coefficient in the extension of (1+x)4 are - a. 14644 b. 14461 c. 14641 d. 16461

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Q: how that every Cauchy sequence {pn} is bounded.

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Q: Use coordinate vectors to test the linear independence of the set of polynomials {1– 212 –t',t+21,…

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Q: Equation condition for three related markets is given by 10x1 + 3x2 + 6x3 = 76 4x1 +5x3 = 41 5x1…

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Q: olve (2xy*e +

A: In this question, the concept of the differential equation is applied. Differential Equation A…

Q: Look into the polynomial p(x) It is known from the polynomial that p(-3)=-1 and p(0)=3 Based on this…

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Q: Find all proper nontrivial subgroups of Z, x Z, x Z. Find all subgroups of Z; x Z4 of order 4.

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Q: Solve y" – 4y' + 5y = e*cosec x by method of variation of the parameter? %3D

A: Given that, the differential equation is y''-4y'+5y=excosecx. The auxiliary equation is m2-4m+5=0.…

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Q: Prove that S, pm (x)Pn(x)dx = 0 if m# n ? %3D

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Q: Find all roper nontrivial subgroups of Z; x Z, x Z. Find all subgroups of Z; x Z4 of order 4. Find…

A: Given:   subgroups of Z2 × Z2 × Z2.

Q: 10 s(2-(z2 + 5)") dz =? 12z(z + 5)° +c (=+5) +c (22+5)

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Q: Find the Fourier series of f(x) = {1 2<x<4 and f(x) = f(x + 4), and calculate the partial sums…

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Q: Esther works at a clothing store which marks up its retail clothing by 40%. The store purchases…

A: Given, The store purchases pants for Php 500 The store purchases jackets for Php 400 The store…

Q: 1/4 1. Find all the values of 3.

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Q: Find the interval of convergence of 00 (x - 9)" In (5n) n=2 (Use symbolic notation and fractions…

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Q: Example: Solve the following system of linear equations using Crout method. 1 1 -4 -1) x2 = (2 0 -1…

A: Given a system of linear equations                                                 4101-4-10-14…

Q: Č(1+3) ( -i)" k=0

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Q: Q6. The average value of R(z)= sin(2z)e'-cos(2=) on [-x,7] is?

A: For the solution of the problem follow the next step.

Q: 19. Determine the line integralof the differential form (x + 3y²)dx – (-6xy + z)dy from points…

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Q: Determine which number, 0 through 6, is the given number equivalent to in modulo 7. Write your…

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Q: Show that F(x, y) = x² + 3y is not uniformly continuous on the whole plane.

A: Given that function F(x, y) =x2 +3y We have to show that it is not uniformly continuous on whole

Q: For certain decisions, the time it takes to respond is a logarithmic function of the number of…

A: (b) The relation between number of choices N and the reaction time R in seconds is given as follows:…

Q: S (z+1) (r+2)) dz =? 를 + 흘고 + c wherecis an unknown constant. (플+피) (를 + 2x) +c where cis an unknown…

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Q: Reverse the order of integration and evaluate the integral: (a) [/ 2y° sin zy dy da (c) / dy dx 포 y4…

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Q: Let F(x) = f(x) + g(x)e* + h(x)e2x+ C be the antiderivative of G(x) = (x + e*)“, Determine the value…

A: The given problem is to determine the value of f(x)+g(x)+h(x) for x=1.69 where F(x) =…

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A: Given: Let us determine to use the 5 people, without actually asking them, to decision

Q: One of the stationary points of the Uncuon Is this a maximum or minimum point of the graph?

A: Given: y=4x5-6x3+x2-2 The stationary point is (-1,1).

Q: By using method of undetermined coefficient solve (D² – 3D + 2)y = ex + e2x ;D = 4 ? dx

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Q: Exercises 6.1 In Exercises 1-8, show that the given set of functions is orthogonal with respect to…

A: For first question using the results: sin(nπ)=0, cos(2nπ)=cos(0)=1 For second question:If the…

Q: Find the coefficient of sin nx in the Fourier series expansion of f (x) = x² (0 <x < 2n)

A: We find the coefficient of sin(nx) in the Fourier series expansion of f(x)=x2(0&lt;x&lt;2π).

Q: Maximizing Profits The weekly demand for the Puisar 40-in. high-definition television is given by…

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Q: 3. Using the following table find f(x) as polynomial in x x -1036 7 f(x) | 3 -6 | 39 822 1611

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Q: Find the volume of the solid within the cylinder r2 + y? = 4 that is bounded below by the xy-plane…

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Q: Prove that if S is a bounded set then S is bounded.

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Q: 3. Using the following table find f(x) as polynomial in x -103 6 7 f(x) | 3 -6 | 39 822 1611

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Q: Define the sequence {b,, } as follows: bo = 4 b, = b,-1 + 2n + 3 for n > 1 Use induction to prove…

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Q: Consider the curve defined by the parametric equations sin(2t), y = cos(t), 0 < t < r Find the…

A: Given- Consider the curve defined by the parametric equations x = sin2t, y = cost, 0 ≤ t ≤ π To…

Q: Vx=0.

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Q: 10 1. Sets and Events Example 1.4.1 As an easy exercise, check that you believe that lim [0, 1- 1/n]…

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