a) x" = 10 sin 2tiling (b

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Q: #7. Let f(t) = 1² for t € [-, ], and extend it to be 2T-periodic on R. (a) Find the Fourier series…

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Q: Find the particular solution: (x³ + xy² −y) dx + (y³ + x²y + x)dy = 0 when x=1 and y=0

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Q: Box your Final answer with a complete solution. Then Graph, emphasize the Limit. 6. 3x lim x-1 x² +…

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Q: Transform the following equation of ellipse in standard form. 9x²-4y²+36x-24y - 36 = 0 3x² - y2 +…

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Q: Tangents drawn from the point (c, d) to the hyperbola 7² 1² ² 6² - 1 make angles a and ß with the…

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Q: Use these data to compute the Q matrix in the Lagrangian L(a) = mina (aQa -a). Qis a 5 x 5 matrix,…

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Q: Let y: [0,00)→→R be twice continuously differentiable and satisfy y(x) + f(x-s)y(s) ds = x³ /6. Then…

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Q: Solve the following IVP. y"'-5y"-22y'+56y=0 y(0)=1, y'(0)=-2, y"(0)=-4

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Q: means a cyclic group but 3+i can't turn into 3-i with a positive integer exponent.

A: Please see the answer in next step.

Q: y₁ N 3- 2- 1- 1 2 3 2 dx dy ŷ dy dz x dy dz 2 dz dy X

A: from the given diagram  the plane lies in the y and z axes so the area of surface lies in the…

Q: 5. Determine which ordered pairs below are solutions of the equation below. Select all that apply. x…

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Q: Solve (D³ a. y = 1 2e* cos(x) O b. y = 12e sin (x) c. y = 2 e sin (x) ex cos(x) O 2D² + 2D) y = 0;…

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Q: choose the correct answer The Fibonacci sequence can be written as a “Rule”. First, the terms are…

A: We have to choose the correct answer The Fibonacci sequence can be written as a “Rule”. First, the…

Q: x=x²-3xy + 2x y = x + y - 1 x = x² + y² - 13 y = xy - 2x - 2y + 4

A: Given x˙=x2-3xy+2y=Fx,yy˙=x+y-1        =Gx,y Let 0,0 be the critical point ∴J=FxFyGxGy0,0…

Q: Directions: Find the next three terms and then write the explicit form of the given sequence below.…

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Q: 2. Let p be a prime. a) Prove that if p > 3, then p is of the form 6k+ 1 or 6k + 5. b) Prove that if…

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Q: If a and b belong to Z[√d], where d is not divisible by the square ofa prime and ab is a unit, prove…

A: Let d be an integer that is not divisible by the square of a prime. Let a and b belong to Zd and ab…

Q: Use Lagrange quadratic polynomial to estimate the value of y at x = 1.5 from the data points (0,…

A: The given data points are (0, -1), (1, -1), (2,7).  We know that the Lagrange quadratic polynomial…

Q: B = = - {[³] · [¹]} and c = {[=7²] ·[3]} are bases for R². Complete the augmented matrix used to…

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Q: 8. Let X = {1,2,..., 15}, A = {1, 2, 3, 4, 5, 6, 7}, B = {5, 6, 7, 8, 9}, and C = {2, 3, 6, 8, 10,…

A: Please find the attachment I use the definition of sigma algebra

Q: Find the equation of pair of tangents drawn from point (4, 3) x² 1² 16 9 to the hyperbola the…

A: Given Equation, if hyperbola is x216-y29=1  Aim is to find pair of Tanget at point (4,3) Since…

Q: 10. There are three line segments below. One of these is labelled "1" and is one unit long. The…

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Q: 8 For which values of mis x - 1 a factor of x³ + m²x² + 3mx + 1? (a) Show that n = 1 is a root of…

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Q: Consider the function f : R³ R defined by f(x, y, z) = tanh(5x² + 2y² − 3z²) and the point P : (x,…

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Q: 52 students are taking Filipino subject 63 are taking Math subject 25 are taking NSTP subject 24 are…

A: Let F denote Filipino, N denote NSTP and M denote Math Given,…

Q: 5.Consider the succession ao=0 a₁ = 1. To and an = 797an-1 +798an-2, n ≥2 an, n EN. 5.1 Determine…

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Q: Prove that if z is on the annulus, ½ ≤ | z |≤ 1, then |Im (z−¹+z+0.25)| <ñ.

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Q: find the comopsition seriesof G D12 = (a, b: a = 1,6² = 1, (ab)² = 1)

A: Given,           D12=a, b : a6=1, b=1, (ab)2=1.

Q: 3 2) y = 5x - 5 -5 - - - + + + ۸۲ P .. A

A: y&lt;=3x/5 -5

Q: (a) Find the differential equation satisfied by v(t) O A. dv V + dt 40 O B. dv V dt 40 None of the…

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Q: The direction field for dx = 5 (a) Verify that the straight lines y = 3x are solution curves,…

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Q: On which curve does the perpendicular tangents drawn to the hyperbola ²²² 1 25 16 = 1 intersect?

A: The given hyperbola is x225-y216=1 Rewrite the equation as x252-y242=1 Comparing with general…

Q: Coordinatization. Jump to level 1 Given the ordered basis { A₁ -=[2 B = A3 = 2 -8 [V]B = 5,4₁ A4 -5…

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Q: (1+z)e- 0(1+0) 0, if a > 0 otherwise,

A: Given,     fx=1+xe-xθθ1+θif x&gt;00otherwisewhere θ&gt;0 If the function follow PDF the…

Q: vectors i + cos (P- j+ cos (y - a) k, cos and s (ß−y) ĵ+ak, where a, ß and y are different angles.…

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Q: Box your Final answer with a complete solution. Then Graph, emphasize the Limit. 1. lim 1-3 x+1-2…

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Q: I have a problem stating a frictionless rod has the equation of motion. d^2r/dt^2-4r=-9.81sin(2t).…

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Q: The learners will illustrate the following numbers using the given representations ☆ 1 000 3360 5280…

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Q: Re

A: Let , rk denotes the number of ways in which k rooks can be placed on a board such that no two rooks…

Q: Determine whether u and v are orthogonal, parallel, or neither. u=j+9k v=i-6j-k O parallel O…

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Q: Let p and q represent the following simple statements: p: I eat bananas. q: I get an A. r: The taxes…

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Q: Use Newton's Method to approximate √5 with starting guess 2 and consider the error at each step.…

A: Approximate the 5 using Newton's Method. Initial Guess:- x0 =2

Q: Q3) Verify that the Fourier transform of the function [1–|x|, 1-|x|, |x|1 ƒ (x) = = { 1 + 0 is ƒ…

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Q: Show the complete solution for the following problem. (Typewritten as much as possible) Find the…

A: To find: The Complete solution to the IVP.

Q: Which ones of the following statements are true? y = 1 is the horizontal asymptote of y = f(x) =…

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Q: Example 2: Determine the following limits. x² +3x+6 a) lim x-0 x+2 -3x b) lim xx-2 c) lim x->0 x X…

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Q: What is [p]B, the coordinates of p = 8 + 7x with respect to the standard basis B = {1, x} of P₁?…

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Q: Show the complete solution for the problem below. (Typewritten as much as possible) Find the…

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Q: Find a parametrization of the following curves and - 2+2 ich 1 oto

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