(e) $₁ = 5 and Sn+1 = √√4s +1 for n ≥ 1.

Q: Maximize the function p = -x+y over the following constraints: a) x+y>=4, x>=0, y>=0, -x+2y<=2,…

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Q: Evaluate the determinant 1     6    0 4     2    7 0     5    3

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Q: COMPLEX ANALYSIS Please answer all questions Show that e.e=e+w for any z, w € C.

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Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. 6. f(t) =…

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Q: Solve the following equations: a) d²y dy dx² - 3 = 9, when x = 0, y = 0, dx dy 3 b) 2 d²y - dx² dx -…

A: Use the given differential equations.

Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. 1.…

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Q: (s+1)²+5²

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Q: Select the prime numbers. 71 1 61 4528

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Q: [y²e + √elnx dy-(xy) sin² ( * O) + (---) (-) sin² tan² ,dx ey+Inx dy y(In2x-lny) -ex. dx = 0

A: We can solve this using substitution method of ordinary differential equation

Q: COMPLEX ANALYSIS QUESTION PLEASE ANSWER ALL QUESTIONS DERIVATIVES Let f be a function whose domain…

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Q: Let H = {β ∈ S5 : β(4) = 4}. Prove that H is a subgroup of S5. (Reminder: The group operation of S5…

A: We have , H = β ∈ S5 : β4 = 4 We need to prove that , H is a subgroup of S5 , where S5 is…

Q: Question 5. Given the following recurrence relations, find their closed form. a. an=2an-1-3, ao = -1…

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Q: 1. Let s, =2+j8 md -, = 4+j36. Show that a. -1+- = -+- 1 -1- -2 -1 -2 = -1-2 -1 : b. C d. =2 ||

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Q: (8) Find the first few terms of the Laurent series for the function 1 1 1 f(z) z² sinh z ³1++ 5! in…

A: We need to find Laurent series expansion of , fz = 1z2sinhz  We need to find singularities  of fz ,…

Q: Find the laplace transform of f(t) = sin(2t) cos(2t)

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Q: HUFF OLVE FOR SOLVE FOR THE LAPLACE TRANSFORM OF THE GIVEN EQUATION. 1.f(t)= te-3t cos² 2t INCONT

A: Laplace transferom of the function.

Q: Let x ∈ R ^n and r > 0. Is the set B(x, r) = {y ∈ R^ n : ||y − x|| ≤ r} a closed set in R ^n? Y/N

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Q: Evaluate the surface integral f, F. dS where F = 3xyi + 9x²j+3yzk and S is the surface z = xe", 0≤x≤…

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Q: 13. Let g: R2 → R be a function given by xy x+y g(x, y) = { 0; if (x, y) = (0,0) (a) Show that g(x,…

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Q: Hom worke: Consider the ring (Z [√3], +,.), Let A={ a+b√3:a, be Z₂} Is A subring of Z[√3]?

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Q: s+10 ¹s²-s-2' L-¹ {

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Q: (c) Show that the set {r EN | x² % 4 = 1} is equal to the set {EN | x² % 8 = 1}.

A: Two sets are said to be equal if the number of elements in both the sets are equal. Now, we have one…

Q: In the following exercises, compute at least the first three nonzero terms (not necessarily a…

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Q: 11. Toni has 24 coins (Quarters x, dimes y, nickels z) in her wallet. They are worth $3.80. a)…

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Q: 1. The Laplace transform of f(t) = = t³ (sinh2t - cos2t) 14 2. The laplace transform of f(t) = et 3.…

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Q: w + 2x -y +z = 6 -w+x+2y-z = 3 2w-x + 2y + 2z = 14 w+x-y + 2z = 8

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Q: 21 (s+ √2) L¹ {- 4)

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Q: -3 -5 4 5 -3 2 Let A = -1 1 3.) (AB) C 4.) CTC 5.) 3A + 4B - 5C -4 B -1 1 -1 3 -3 3 5 -5 5 C = 2 -1…

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Q: Ordinary differential equation) dx/dy = ( x-e-x )/( y+ey )

A: Solution :-

Q: EXAMPLE 3 Evaluate [√x² + zdv, where E is the region bounded by the paraboloid y = x² + 2² and the…

A: We need to find region of integral in two different cases , typ1 i.e. with projection on xy plane…

Q: 25 What is of 350? 72 4 What is - of 215? 9 1 What is = of 129? 3

A: 1. 2572 of 350 is  2572×350 = 437536 Which is the required answer. 2. 49 of 215 is 49×215 = 8609…

Q: 12. Find the flux of the field F(x, y, z) = 4xi + 4yj + 2k outward (away from z-axis) through the…

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Q: Find the power series representation for sin 2²

A: We have to find the power series representation of  sin z2.

Q: e sequence 1, 1, 3, 7, 17, 41, 99,... is a second-order linear recurrence given by x = 2x₁ + x2 for…

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Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. 7. ƒ(t) =…

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Q: 2 -5 -1 3 5 2 -2-4 -630-0 40-0-0- Let A = -1 5 B = 1 -3 -5 C = -1 3 . Find: 1 -1 3 5 1 -3 -4 4.) CTC

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Q: Section 7.1 p. 623/625 # 2 For the following exercises, sketch the curves below by eliminating the…

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Q: 1. Evaluate the determinant. 1     6    0 4     2    7 0     5    3 2. Find the determinant. 4…

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Q: 1 defined on R {0}. Find the points of relative extrema of f and the and those on which f is…

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Q: Consider the region Rxy in the plane XY. 31 Ray y=x+3 y=z-l u = xy y v=x-y Consider the variable…

A: Given that u=xy .....(1)  and v=x-y.....(2). To find: I=∬Rxyx2-y2·ex2y-xy2 dAxy in uv plane.

Q: How many factors does 350 have?

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Q: In Exercises 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

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Q: A call center agent receiving a monthly salary of P21,000 with mandatory annual deductions of…

A: Annual gross income is the total amount that an employee receives from a company in one years after…

Q: Let f be a real-valued function continuous at the point a = (a1, a2) in R². Keep a2 fixed and define…

A: Given that f is real valued function and continuous at a=a1,a2 in ℝ2 and gx=fx,a2. To show : g is…

Q: 5. Using the expressions of J₁/2(x) and J-1/2(x), express the following in terms of sinx, cos x and…

A: Bessels function. Values

Q: 3. Consider A = {m, a, t, h} B = {s,t, e, m} a. What is An B² C = {x: x = 3n, 1 ≤ n D = {x: x = 2n,…

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Q: In Exercises 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

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Q: Critic points of an equation problem: Consider the equation Find the critic points of the equation…

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Q: Use Green's Theorem to evaluate the line integral. J. 2xy dx + (x + y) dy C: boundary of the region…

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Q: 8. Which of the following completes the sequence? quence? 3 ? A B с D

A: Expanation :  From given picture  Each curved arrow moves  clock wise direction  Step -1 :  One…