11. For the sequence: 7, 11, 15, ... a. Find the value of the 31st term, T31 b. Find the recursive formula

Q: Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where…

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Q: Find the next two terms of the sequence (a2 and a3):

A: Given,         an=3an-1+18an-2 with the first two terms a0=4 and a1=10.

Q: Q1: A- Write the following algebraic expression in its simplest form: 5x+3 5x+3x²+5x+6 X * +3 25x²-9

A: We need to write 5x+3x+3×x2+5x+625x2-9 in its simplest form First we will do the factorization of…

Q: TRUE or FALSE: 1. (3141, 1592) = 1 2. The LCM of 2b and 3b^2 is 6b 3. The complete set of positive…

A: 1) (3141, 1592)=1 2) The LCM of 2band 3b2 is 6b. 3) The complete set of positive factors of 24is 1,…

Q: Find the general and Singular Solution of the following differential equation ·P² 21 (41

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Q: TRUE or FALSE: 1. If g = (a, b) and a = gc, then (c, b) = 1 2. If (p, q) = 1 and (q, r) = 1, then…

A: GCD is the greatest common divisor of two or more numbers is the greatest common factor number that…

Q: 2. Suppose that z is a function of a and y, and F(x2 - y², xy - 2², yz - 2²) = 0. Calculate and…

A: Solution :

Q: 2. If the acceleration of the body is increasing linearly, which of the following statements is…

A: Let a(t) be the acceleration of the body. Given, Acceleration is increasing linearly w.r.t time.…

Q: please answer the same way above the former one. a) What is the velocity of the particle at t = 2.8…

A: Answer of (a) as follows :

Q: Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤ b, 0≤z≤ 1, find the one for…

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Q: Given the following matrices Find the following: 3. BA 4 D + AB A = D = 1 3 1 - 0-4 5 3 3 6 E = 7 2…

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Q: asic PDEs du A function u obeys, du = y². Which of the following is a valid answer for u and dr dy…

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Q: Q) Let 8= R and ZEfusR3Cup U23 Prove on R. or disprove that is a topology.

A: The set is defined as, τ=U⊂ℝ : 3∈U∪∅ 1) The first condition for topology is the set contains empty…

Q: Given 25 __3__8 what digits must be placed in the blank to make it divisible by 9 a. 8 and 9 b.6 and…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Find f(t). f(t) = 4s [{{1}} + ) u(t-

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Q: Which of the following PDEs cannot be solved exactly by using the separation of variables u(x, y) =…

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Q: of- 's(s+1)(s+2)

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Q: Derive in detail the trapezoidal rule for definite integral f(x) dx = bª[f(a) + f(b)] - (b-a)" f"…

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Q: 3. Two fundamental differential postulates of electrostatics are given as: V•E = P a. where Р is…

A: The general form of a vector-valued function in three dimensions is given by E→=E1i+E2j+E3k, where…

Q: s(s² +95+19) B) Determine the response of the following closed loop transfer function for unit step…

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Q: Problem show that the Force F. (Y²Z²_6X2² ) ( + 2x4²²) 22 +(3xy 2² - 6x³2) Kis Conservative, hence…

A: Where C is arbitrary constant. Which is the required potential function.

Q: Graph the solution to this system of inequalities. y ≤x+4 y2 = x + 2 y 20

A: Given the system of the inequalities, y≤x+4y≥12x+2y≥0

Q: approximate value for y(3) for the following I.V.P. 2x + 1 y' = = y (1) = 0 5y4 + 1'

A: find value of y(3) using euler method

Q: Q6) (a) Prove that Fourier cosine transform of f(x) = cos(x), 1 sin 3(p-1), sin 3(p+1) p-1 p+1 +…

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Q: Question 1: Doing 2 DFTs in one go Consider two length N vectors with real numbers in them-a, y ERN.…

A: Here, C,X and Y be the DFT of c,x, and y.

Q: 5 -2s2-3s+4- L-¹1-

A: We will use Laplace transformation table to find inverse Laplace transformation of given function

Q: 20.What is the value of n such that (24  is congruent to 58 mod n) ? a.13 b.17 c.-34 d.-13

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Draw a direction field for the differential equation y' = -y(10 - y). Based on the direction field,…

A: Option are not given , please check and match.

Q: Exercise 0.2.11: Solve: dA a) = -10A, A(0) = 5 dt d²y c) = 4y, y(0) = 0, dx² y'(0) = 1 b) d) dH dx…

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Q: 1. Find the Inverse Laplace 4) 48-60√S s4

A: To find: Inverse laplace transform of 48-60ss4

Q: The wave equation W 0 = 10%

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Q: Find the absolute extrema of the given function on the indicated closed and bounded set R. (Order…

A: To find- Find the absolute extrema of the given function on the indicated closed and bounded set R.…

Q: 701 Discuss the convergence of the given sequence: a(n) = sin- 2

A: Given sequence a(n)=<an>=sinnπ2.The subsequence <a2n>=sin2nπ2=sinnπ→0,…

Q: Find the first five terms of the sequence defined by each of these recurrence relations and initial…

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Q: Evaluate the surface integral 2 = 1 which is in the first octant. ry dS, where S is the part of r+y+

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Q: Verify the conclusion of Green's Theorem by evaluating both sides of each of the two forms of…

A: To find- Verify the conclusion of Green's Theorem by evaluating both sides of each of the two forms…

Q: Let z = f(x, y) be a differentiable function defined for every point on the plane, and let u be a…

A: (a)Let the function f(x,y) be the height of a mountain range at each point X =(x,y). If you stand at…

Q: 1. Let TR → Rm be a linear transformation, and let {V₁, V2, V3} be a linearly dependent set in Rn.…

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Q: Q3:- (4) Solve the following differential equation: y³ −3y¹ +3y″ − y" = x² 1 (B) Find the inverse…

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Q: If A = B = C = are the coordinates of a triangle, compute: A C length of AC length of AB B units…

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Q: L-1 | 53 5 = 3s +1 3 – s2 + s - 1

A: Find the inverse Laplace transform of 3s+1s3-s2+s-1. Rewrite the denominator:…

Q: 1. Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v d) angle…

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Q: 5) For each + ive integer i, where i is equal to three, then find the union and intersection of…

A: 5 Given that Ai=x∈R|−1i<x<1i=−1i,1i. a We have to find the A1∪A2∪A3 and A1∩A2∩A3. Here,…

Q: 2. Suppose that z is a function of and y, and F(x2 - y², ry - 2², yz - ²) = 0. Calculate and (Hint:…

A: Solution :

Q: Find the general and Singular Solution of the following differential equation p² + 2 py cotx = y² +…

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Q: 7 relatively prime uct and quotient of a

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Q: (n + 1)(n − 2). Use this fact to The sequence (an)n>1 starts -1,0, 2, 5, 9, 14... and has closed…

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Q: Use triple integration in Cartesian coordinates to find the volume of the region in the first octant…

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Q: different combinations, including those ing zero, of popcorn buckets and hamburgers John ay,…

A: Given: Total money john and his 6 friends have is $35.25. Hamburger cost (y) is $7.50. Popcorn…

Q: 14.9 The convergence of a series does not depend on any finite number of the terms, though of course…

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