Obtain the Legendre polynomial Ps(z) by application of the recurrence formula nPn(x) = (2n-1)xPn-1(2)(n-1)Pn-2(x) assuming that P₁(x) and Ps(r) are known.

Q: (a) A resistance R in series with inductance L is connected with e.m.f E(t) = t. The current i(t) di…

A: Sol

Q: Convert the following base ten number to a number in the indicated base 535 to base 8 535= 8

A: Introduction: Generally, a number is represented in base 10. One can convert this number to any…

Q: The population data of the Italy from 2005 to 2010 is given. Find the population in the years of…

A: Newton's divided difference formula for three points can be defined as :…

Q: 15. How many edges has each of the wheel graph W105? A. 210 B. 211 D. 209 D. 105

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Q: ) Find the Laplace Sketch f(t) = Transformations (t²,0 ≤t≤2 = {1², 0, t > 2 of the following…

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Q: Solve the initial value problem Ә дудх (OH) - ди 4- ду = 0, u(0,y) =2sin y, u(x,0) = x. -

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Q: b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-³), D (,0). Find the equation of the plane…

A: As per norms, we will be solving only one question. If you need an answer to others then kindly…

Q: Problem 6. Write a matrix for the linear transformation T: R³ → R³ satisfying TO) -()· () - () - ()…

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Q: Maximize z = 5x₁ + 3x2 subject to: 2x1 + 4x2 ≤ 13 X1 + 2x2 ≤ 6 with X₁ ≥ 0, X₂ ≥ 0 Maximum is 18…

A: This is the problem of LPP.

Q: Here a calculus question about continuity. I'm unsure about my answers. Please explain

A: We use definition and properties of Riemann integral.

Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for f(x, y) = e -² cos(xy)…

A: Given function is fx,y=e−x2−y2cosxy. We have to find the First and second degree Taylor polynomial…

Q: For the following problems, use the method of shells to approximate the volumes of some common…

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Q: Let T: P₁ → R be the linear T(p(x)) = p(7). Then Ker(T) = transformation defined by

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Q: Q1 Rewrite the polar equation r= 2sin0cose in Cartesian form- Q2 Convert the Cartesian equation to…

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Q: Using the I) Method of Successive Substitution, the II) Bisection Method, and the III) Regula-Falsi…

A: Given the function 3x=ex-sinx Find the root of the function in the interval 0,1 using Bisection…

Q: uxx + uyy =0, 0<x<a, 0 <y<b, B.C. u(x, 0) = 0, u(x, b) = f(x), 0 ≤ x ≤ a, ux(0, y) = 0, ux(a, y) =0,…

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Q: Consider the autonomous system of non-linear equations * = u(x, y), where u is a vector field with…

A: In this question, the classification of the equilibrium point is done.

Q: Suppose a quiz consists of 9 true-false questions and A is the event that all 9 questions are…

A: Here the universal set contains "true" and "false". i.e. the universal set contains 2 elements. If A…

Q: If n(C) = 34, n(C∩D) = 17, and n(C∪D) = 93, find n(D). n(D) =

A: The set A∪B contains all the elements that are present either in set A or in set B. It is known that…

Q: EXERCISE 3.4 A line segment has two ends of (-a, 0, R) and (a, 0, R). The surface of a cylinder is…

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Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

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Q: 2. Let z = sin(xy) + x siny,x=u² + w² and y = uw. 2a. Compute Vz= when u = 0 and w = 1.

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Q: 8. A spring has a natural length of 10 cm. It takes 2J to stretch the spring to 15 cm. How much work…

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Q: Consider the differential equation d'y dy + 2 + 2y = 3 sin(2x), da dx² and the problem of finding a…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Evaluate L-In (7-s) s²-4

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Q: 45. What is the connectivity (size of the smallest separating set) of the graph G? A. 3 B. 4 C. 5 D.…

A: Sol

Q: Consider two vectors u, v, and is the angle between them, which of the following is false A. 00 if…

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Q: 何 →→ A= (e) (P)

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Q: c2π rieit 0 20 + reit dt

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Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.  How many sets of 7…

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Q: Can the following graphs drawn in plane without edge crossings? a

A: Given: Graphs, To determine: Whether the given graphs can be drawn without crossing.

Q: For the following arithmetic sequence find the specified term a14 and find the sum of the terms from…

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Q: GET THE EQUATION ㅇ 20 OF THE GRAPH 00 49 ① LUNAND t

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Q: Use proof by contradiction to show that no integers  y and z exist for which 24y + 12z = 1.

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Q: f16 sin²x cos²x dx

A: Sol

Q: Q. Show that DY+ . + (7) + (2) , Y + C D + (2) ( y = لا

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Q: B A D C

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Q: . Given that F = xzi – 2yzj+x²yz k. Find the followings at (1, 1,3): (a) div F. (b) curl F. (c) ▼.…

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Q: Solve for x. Show exact values. State restrictions on the variable (if applicable). a) 216x+1 = 6x-4

A: Introduction: Indices describe the basic properties of algebraic expressions. It deals with the base…

Q: TT cos 3x. cos 4x dx

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Q: 3. Determine the quasiconcavity or quasiconvexity of the following functions (a) f(x) = |x-1| (b)…

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Q: Question1: Classify the following differential equations in terms of the (Type, Order, Linearity and…

A: Sol

Q: Suppose the collection = {B₁ (x): xe (0,1)}. Is B an open cover of the interval [0, 1) CR? Give an…

A: Given: The collection B=B12x : x∈[0, 1). To determine: Whether B is an open covering of the interval…

Q: A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0, 0, b)]…

A: Given that B=0,0,b and r=x,y,0  and the vertices are A=5,0,6, B=5,4,0, C=0,4,0, D=0,0,6, F=5,0,0

Q: Question3: A. Find the general solution of the following first-order ODE xy' = y + 2x³ sin² (²)

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Q: I. Verify the following identities. 3.2cos √x= cos(2x-1) 0≤x≤1

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Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

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Q: Find the solution of the given initial value problem in explicit form. Determine the interval in…

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Q: 27. The maximum degree of any vertex in a simple graph with n vertices is A.n-1 B. n+1 C. 2n-1 D. n

A: For a Graph with  n vertices, there are only n − 1 edges for any vertex to be adjacent to.

Q: ASAP

A: We solve by using Laplace Transform.