Use polynomial fitting to find the formula for the nth term of the sequence (an)n>1 which starts, 5, 7, 11, 17, 25,... Note the first term above is a1, not ao. an =

Q: 18. An external direct product G₁ G₂ G₂of a finite number of cyclic groups is cyclic if and only if…

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Q: (9) 2z+p²+qy+2y² = 0 z=ax- 2 2 +c -2 + C₂

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Q: Given the differential equation x d² y dx² 0 and one solution y₁ = A (constant), use reduction of…

A: This question is related to ordinary differential equation.

Q: - LITALY. PULSI (3) Let N be a set of natural numbers and T={Ø,N}U{U; NEN}. Un={0,1,...,n} show that…

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Q: How many strings of length two can be formed by using the letters A, B, C, D E and F without…

A: Given letters, A, B, C, D, E, F We have to find number of strings of length two

Q: A quadratic equation x¹-x-8-0 is defined with an initial guess of 1 and 2. Find the approximated…

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Q: 3.1 Let S be the set of all bounded continuous functions f: [a, b] → R. Given two points f and g in…

A: Note : Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Match the following functions with the appropriate cross-section: I) z = (y²-1) cos(x) II) z=(x²-1)…

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Q: C R using cylindrical c √1-2², 0≤ ≤ the solid B that lies +22=2 using sphe

A: 6. (a) The required solid is R=x,y,z: 0≤x≤1, 0≤y≤1-x2, 0≤z≤4-x2+y2. In cylindrical coordinate…

Q: 2. (a) How many lines of symmetry does a regular octagon have?

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Q: Rusing cylind √1-2², 09 the solid B th +22=2 using

A: 6. (a) The required solid is R=x,y,z: 0≤x≤1, 0≤y≤1-x2, 0≤z≤4-x2+y2. In cylindrical coordinate…

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

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Q: A F²(xy, 2) = x₂ ₁ + x² ² + x ₂7² [ z) xy Find div F and curl I at (1,1,0) 0

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Q: in the firs dV= dz

A: Let us consider a triple integral of the form ∫ab∫f(x)g(x)∫h(x,y)r(x,y)F(x,y)dzdydx To solve the…

Q: In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation…

A: From the given data we can conclude that, Proportion = 25% Margin of error = 1.3%

Q: 2. A man put a pair of rabbits in a cage. During the first month the rabbits produced no offspring…

A: Let us solve the given question in the next step.

Q: 5. Every single card is used to represent each letter of the English alphabet, which is then placed…

A: Given, Every single card is used to represent each letter of the English alphabet, which is then…

Q: Identify the surfaces of the following equa equations in the Cartesian form. Show your complete…

A: According to the guidelines I am answering first question only. to convert cylindrical system to…

Q: b) Find the area between the 2 curves f(x) = x² +4-4x and x- with the two lines = 5 & x = 2. axes…

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Q: The fish and game department in a certain state is planning to issue hunting permits to control the…

A: Given that the fish and game department in a certain state is planning to issue hunting permits to…

Q: Q₁: Find indicated partial derivatives дz a) yz = ln(x+z) ax อใน b) u = √r² + s², r = y + xcos t, s…

A: This is a problem of partial differentiation.

Q: (9) 2z+p²+qy+2y² =( z = ax 2 2 +²²2 + -2 + C₂

A: Let us consider the PDE F(x,y,z,p,q)=0 The charpits formula…

Q: Use Stokes' theorem frotF. ds to evaluate F(x, y, z) = (x + tan¯¹yz)i + y²zj + zk, S is the part of…

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Q: 3 Consider the result (1.d) above. We will use it to calculate the solution for the ODE ƒ"(t) + ƒ'…

A: As p3r the question we are given the following initial value problem : f''(t) + f'(t) + f(t) =…

Q: (c) f(x) = cos² (3x)

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Q: Use induction to prove that Σmn1(2j + 1) = 3η2 3n²

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Q: Q5: Use the quadratic interpolation and the following data to find f(1.4) X 1 1.2 1.3 F(x) 0.368…

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Q: 38. 1 2i + z

A: Given: The complex function, 12i+z.   To determine: The power series (about the origin) of the given…

Q: 23. Every element in Z4 Z8 has order 8. . TRUE ● FALSE An is a normal subgroup of Sn. TRUE FALSE 24.…

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Q: On the plans for a treehouse, a beam represented by QR has endpoints Q9-6, 2) and R(-1,8). A…

A: Given endpoints of beam QR are -6,2 and (-1,8) and endpoints of beam ST are -3,6 and -8,5.

Q: coordinates with dV= r dz d 4-(x2 + y2). Draw the solid

A: Using the volume of cylinder and the solid is given as,

Q: (c) The figure shows two similar prisms, if the volume of Prism 1 is 40 cm³, find the volume of…

A: To find the volume of the Prism 2.

Q: 2. Analyse the following equations graphically: x = ex COS X (i) x = 1 - cos 2x (ii) Find all the…

A: 2. Given equations are: (i) x.=ex-cosx (ii) x.=1-cos2x   To Find: All equilibrium points, and…

Q: Prove that the following ODE IVP is well-posed: where f(t, y) = 1 + t sin(ty). y' = f(t,y), 0< t <…

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Q: 19. f(x, y, z) = x² + y² + 2², holds 2x + y + z = 1, -x + 2y3z = 4

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Q: n- Let n+] n=1 convergence of the series is e 6e 6/e 4 5e 4/e 4e 5/e (Ca)", C is a positive…

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Q: . Use the f(x)= x³ - 2x² + x-3 Newton-Raphson iteration method to estimate the root of the folle…

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Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y²-3x2² and the…

A: We have to find the volume of the solid bounded by z=1−2y2−3x2 and the xy plane.The volume of the…

Q: b) Find the area between the 2 curves f(x) = x² + 4 − 4x and x - axes and border with the two lines…

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Q: if f is any closed Set of X Such that D≤f then F=X 3 if Bx is a base of x Space, then UnD $ $U<B 47…

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Q: Q1: A craftsman has three identical boxes, each with two identical drawers. In the first box, one…

A: Given information: There are 3 boxes and 6 drawers in them. Each box contains two drawers where…

Q: 4. Evaluate the double integral: Sa+1 ¹/3 27 +1 (Hint: Change the order of integration to dy dr.) dr…

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Q: (b) Solve for the partial differential equation a²u 1 a²u c² at ² u(0,t)= u(1,t)=0 u(x,0)=2x and dx²…

A: Given partial differential equation is ∂2u∂x2=1c2∂2u∂t2, u0,t=u1,t=0, ux,0=2x and ∂ux,0∂t=10. We…

Q: ite a pr voltage

A: As given : program square root AC voltage ( vrms ) : The answer is below step -

Q: Given the polynomial :x6y³ - 2x²y² + 1 1. What is the degree of the first term? 2. What is the…

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Q: 4. Using De Moivre's Theorem, show that sin (30) = = 3 sin 0 - 4 sin³ 0. Hence, by utilizing the…

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Q: no of edges for a tree with number of vertices 10 is

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Q: Check the stability of the following system using the given Lyapunov function? 0+0+Sin e-…

A: see my solution below

Q: [2] Find the Fourier series of the function f(x) = sin(4x) {ain(kx) -T≤ x < -π/2 -π/2<x< π/2 π/2 ≤ x…

A: Solution

Q: An internet job recruitment company, Companyl, claims on their website that their company doubles…

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