Approximate the integrale sin zdz using the Trapezoidal rule with n=4.

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Q: Suppose that (sn) and (tn) are sequences so that sn = tn except for finitely many values of n. Using…

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Q: 7. Sketch the graph of a set |z-2+i≤1.

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Q: Calculating Annuity Values You are serving on a jury. A plaintiff is suing the city for injuries…

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Q: x² + 2x³ - 11x² - 12x

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Q: Determine all solutions of the following Diophantine equations: 1335x801y = 534. Further, find all…

A: Applying Euclidean algorithm GCD1335,-801 -801 = (-1)×1335 + 534   1335 = 2×534 + 267    534 = 2×267…

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Q: Let a, b, c E Z. Prove: If alb and b|c, then alc.

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Q: (04) Find the first 3 iterations of the SOR method with w = 1.1 for the following linear systems,…

A: (a) 3x1-x2+x3=13x1+6x2+2x3=03x1+3x2+7x3=4X0=0,0,0t,   ω=1.1 We know that, for symmetric positive…

Q: 2 Locate the numbers z₁+z₂ and z, - z₂ vectorially when z₁ = 2i, z₂ ==-i. 3

A: Use addition the evaluate these numbers then plot it

Q: 2.4 From the following table of yearly premium for policies maturity at coming ages, estimate the…

A: x-->Ages and y---> Premium Newton's forward difference interpolation formula--:

Q: 3. A 10-year annuity makes continuous payments. At time t, the annuity pays at an annual rate of…

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Q: Construct a polynomial function with the following properties: fifth degree, 5 is a zero of…

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Q: A fireworks show is choreographed to have two shells cross paths at a height of 163 feet and explode…

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Q: Find and classify the critical points of the function: f(x,y) + y² + 2xy-6x-3y + 4

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Q: Suppose ƒ : (0, 1) → R is uniformly continuous. (i) Prove that f is bounded. (ii) Prove that limx→0+…

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Q: Choose the correct option(s). 1. The two-point forward difference requires two nodes to approximate…

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Q: Let lim f(x) = 4 and lim g(x) = 20. Use the limit rules to find the following limit. x-6 x-6 f(x)…

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Q: f(x) = -1.5x6 - 2x4 + 12x using golden section search what is the maximum value after the 3rd…

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Q: Write a triple integral in spherical coordinates that represents the volume above/inside the cone z…

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Q: If f₁³f(x) dx = -2 and g(y) dy = 4, what is the value of fff(x)g(y)dA where {D: 1 ≤ x ≤ 3, −5 ≤ y ≤…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: (6xy + y² − ysin(xy))+(3x² + 2xy-xsin(xy))dy = 0

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Q: A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see…

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Q: Let à = ( − 1, 3, — 5) and 7 = ( − 3, 2, 3). - Find a unit vector normal to a and b with negative z…

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Q: Determine the singular points of the given differential equation. Classify each singular point as…

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Q: A code with minimum distance 20 can correct up to how many errors? O O C 9 10 18 19

A: If d is the minimum distance then it can detect (d-1)bit errors.

Q: Let lim f(x) = 23 and lim g(x) = 7. Use the limit rules to find the following limit. x-8 x-8 lim…

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Q: Consider the following nonlinear boundary value problem f" = f³ - ff', vith 1 ≤ x ≤ 2, f(1) = 1/2,…

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Q: Find the remainder of 5^1521/13

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Q: Given that f is a polynomial of degree n in Pn, show that { f, f ',f ", . . . , f (n)} is a basis…

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Q: Consider the integral approximation T20 of f 2e- dx. Does T20 overestimate or underestimate the…

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Q: 1) Solve the initial value problems (i.e. find particular solutions) a) y''+8y'+16y=0 with y(0)=2…

A: Part a Consider: y''+8y'+16y=0 So, r2+8r+16=0⇒r2+4r+4r+16=0⇒rr+4+4r+4=0⇒r+42=0⇒r=-4 So, the…

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Q: Let B= (b₁,b₂} and C= {c₁.C₂} be bases for a vector space V, and suppose b₁ = 7c₁-4c₂ and b₂ = -9c₁…

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Q: (b) (3 points) (*) Find a critical point of g(x, y) and determine whether it is a local maximum, a…

A: Given : gx , y=x2+y29. To find : critical point of gx,y. To check : gx,y is local maximum , local…

Q: Determine the area of the parametric surface S with equation R(u, v) = (u²+v², 2uv, u²_v²) where 0 ≤…

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Q: A code with minimum distance 17 can detect up to how many errors? 07 C 16 8 14

A: ANSWER 1: C = {0000, 1100, 0011, 1111}  If we suppose that BOB received the binary word y = 100 that…

Q: Let G be a group of order pq where p and q are distinct primes andp <q. Prove that the Sylow…

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Q: Question 1 Solve [(x), (y)] = [[3,1],[-25,-5]]\ [(x), (y)] \quad x(0) = 3, y(0) = -24` `x(t)` =…

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Q: Let V be a finitedimensionalvector space and let {v1, v2, . . . , vn} be a linearlyindependentsubset…

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Q: A pair of dice are rolled 1,000 times with the following frequencies of outcomes: Sum Frequency 110…

A: Given : A pair of dice are rolled 1,000 times with following frequencies of outcomes, Sum 2 3 4 5…