Calculate the sum of the series: 1 + 4 1 1 + 12 1 + 20 + ... 16 A. С. 1 D. doesn't exist B.

Q: 4. Show that the collection C = {[a, b) | a < b, a and b rational} is a basis that generates a topol...

A:   Given:         l = {[a,b]} | a&lt;b , a and b rational}

Q: 2. Calculate the Laplace transform L{12e cos²(3t)}.

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Q: ollowing integral by using Trigonometric substitutions Method: dx y = V4 + 25x2 ーマ

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Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos (w,t...

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Q: 2. sin3 350at

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Q: (b) Determine whether the vectors, , and are linearly independent or linearly dependent.

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Q: Find the solution of Sturm-Liouville problem y" +y'+ 2 y = 0, 1 sxs2 ith boundary conditions y(1) = ...

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Q: 2. (– 13 + 3i)31

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Q: Consider the linear system -2 %3D dt 0. (a) Determine the type of the equilibrium point at the origi...

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new ques...

Q: b.) Graph t showing the point Pl3,2,413,2) and a tanyent line at P in the direction of V

A: We are given 3 things, A surface in the 3D plane ,f(x,y)=14(x2+2y2)+2. A vector, v=&lt;1,-3&gt; A p...

Q: 1. What is the resultant of the following vecto Va = 85.5 m, 56 degrees east of south Vb = 45.3 m, 3...

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Q: The value Of (1+1)8, is equal tO O 16 4 4i

A: 1)  f(z) = (x-y)2+ 2i (x+y)Here u = (x-y)2,  v = 2(x+y)ux = 2(x-y),   uy= -2(x-y)vx = 2,  vy = 2for ...

Q: 4. Let ao, a1, az, ... be the sequence defined by the following recurrence relation: ao = 0 • a, = a...

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Q: Consider the points A(1, -2, 4), B(2, –4, 1), C'(-1, –3, 1), and D(3, 1, –5). (a) Find the volume of...

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Q: a piccewise Snction. Cleasly label bounday values. Make Sue the Shape of each seqmert.is corsect. Gr...

A: Given function is fx=−x2+4,   x≤02x+4,     0&lt;x≤2x−33,   x&gt;2. We have to graph the given piecew...

Q: 5. Determine the roots of the complex numbers studied in class. z³ = 2 – 3i

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Q: 2) Let f(T) e Q[T] be an irreducible polynomial of degree n > 1. Show that f(T) has n different root...

A: We will use the basic knowledge of ring theory to answer this question properly, in detail.

Q: 3 1 [2 3 Let A= 1 2 -47 B= -2 3 then c12= 20 5. -3 | Ture False C 2.

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Q: 2. y(x*e*y - y)dx + x(y+x³e*)dy = 0 3. 2x y' = y(3x*+y²) 4. y(x³y³ + 2x² – y)dx + x³(xy³ – 2)dy = 0;...

A: Integrating factor and solution of differential equation

Q: ANSWER THE PROBLEM WITH COMPLETE SOLUTION (INCLUDE A TABLE)   Using Direct Search Method, estimate...

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Q: Mrs. Gan gave ₱50,000 for the club fund of the upcoming school fair. The Math, Science and Art Club ...

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Q: 3. Let E (a, b, c}. Design an NFA that accepts the language L= {a}, which consists of exactly one wo...

A: Solution 

Q: 2. The set of real numbers 1 for which the d²y boundary value problem + Ay = 0, dx y(0) = 0, y(r) = ...

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Q: In an experiment, A,B,C, and D are events with probabilities P[A]=2/8, P[B]=3/24, P[C]=15/24, and P[...

A: Note: We are allowed to solve three subparts at a time kindly upload remaining part as next question...

Q: 4. Write each of the following sets are in the set builder form ? (i) A = {2, 4, 6, 8, 10} (ii) B = ...

A: Since you have posted a multiple  question according to guildlines I will solve first   question(Q4...

Q: (b) Solve : d²y - 3.x+5y= sin(log x) dx dy dx हल कीजिए dy 2dy- 3x+ dx Sy sin(log x) dx

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Q: (a) Factor the following: · [[b-1)/ (8b² – 8b)] • [6b² + 8b] · [x² + 2x) / (3x + 6)] • [(3x + 3) / (...

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Q: What is 2+4

A: The value of 2+4 is 6  

Q: If P1 is (3,5,00, P2 is (-1,2,7), and P3 (6,0,2). Find the shortest distance of the line P1P2 and P1...

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Q: The space I(p). Let p = be bounded sequence of strictly positive numbers, so that 0 such that that ...

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Q: If n 2 1, then the Fermat number Fn 22" +1 is prime if and only if %3D 3(F.-1)/2 = -1 mod (Fn).

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Q: Show an example that the scalar multiple of a diagonal matrix is also a diagonal matrix. Put brief e...

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Q: Exercises for Sets and Functions Q1) How many elements does each of these sets have? b. P(Ø, {Ø),{Ø,...

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Evaluate L{e (cosht – sinh nt)} 3r S+3 A. (s+3)*-n² (s+3)-a² S-3 B. (s -3)- (s-3) 2. s+3 C. (s+3) +*...

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Q: Give McLaurin Series of Cimmon function for sinh x

A: We have to find the Maclurins series of function for fx=sinhx. The Maclurins series of function fx i...

Q: Let each of the vectors: A = (1, -3, 5) B = (2,3,-2) and C = (-2,0,0) extends outward from the origi...

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Q: If the ratio of the geometric series Ir|<1, then it is converge and it's sum is:

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Q: 1. Let B be the solid bounded by y r2, 1-y², and the ry-plane. Calculate the volume of B as a triple...

A: 1st we will draw figure of given region and then find limits of variable in required order   

Q: (K", || |,) is called the LP-norm on K". is a normed linear space for 1 <PS00. || |,

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Q: What is the least number of lateral edges of a prism? * O 2 3

A: To find the least number of lateral edges in a prism.

Q: N1/2 (x) = -J_1/2(x) الخيار 4 J1/2(x) الخيار 3 J-1/2(x)

A: The equation that describes the relation between the Bessel's function: Jvx and the Neumann's functi...

Q: Let L be the subspace of V that contains all the real n x n lower triangular matrices. What is the d...

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Q: 2. Show that the xy plane W = (x, y,0) in Rº is generated by: (i)u = and v = (ii)u : and v = 3

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Q: S+ 2v + 2a = 4 35 – 3v + 4a = 25 35 + 2v – a = -4

A: Convert the given system of equations into matrix form. 1223-3432-1Sva=425-4 The augmented matrix is...

Q: 4. Convert (101001000)2 from binary to decimal notation and (1984)j10 from decimal to binary notatio...

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Q: Evaluate L{3e cos 10r cos 41. S+1 s+1 A. 2 (s+1) +16 (s+1) +100 S-1 S-1 B. 2 (s-1) +16 (s – 1) + 100...

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Q: + e sintil dxdydz yz In3 ...b.. dxdydz..Anss. ............ ........... ...

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Q: 1. Which of the following collections are sets ? (i) The collection of days in a week starting with ...

A: Set: A set is a well defined collection of objects. We write a set in capital letter. We can represe...

Q: 5. (6 + 15i ) 3

A: this is a problem of complex analysis.

Q: (c) Calculate the population of a spherical cloud of locusts which lies in the ball x2 + y?+ (z – 1)...

A: By our guidelines we are supposed to solve only one question. For the solution of the first question...