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Q: determine DFT for the sequence x(n) = [1,2,3,1]

A: Given: A sequence xn=1, 2, 3, 1. To find: Discrete Fourier transform of given sequence.

Q: Use two truth tables to show that each of the propositions are equivalent.

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Q: If [ f(x)\dx<∞ show that limf(x)dx=0 k→∞00 1

A: We have to prove that given expression.

Q: Let y'= -ty + 0.1y³ and y(0) = 1.8. Use Euler's method to find approximate values of the solution of…

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Q: Prove the following: If m is an even number and n is an odd number, then n 2m is odd. Hint: start…

A: We prove that if m is an even number and n is an odd number , then n-2m is odd .

Q: Solve the given matrix equation for X. Simplify your answers as much as possible. (In the words of…

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Q: ((7) jйно ате (0) 1920-я ТЯТ 2ЛА 1 N ОИК эт 2р пр Б

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Q: Using the Buchberger's Criterion, determine whether the following sets -bner bases for the ideal…

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Q: Consider the solid Q bounded by the surfaces S₁: z-1=(y-2)², S₂: 1+y=2, S3:2=0, S₁: y=0, S: z=0 Let…

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Q: Problem 5. Find the standard form of the equation of the circle x² + y² − 2x +12y + 12 = 0. Then,…

A: The standard form of a circle is (x-h)2+(y-k)2=r2 where (h, k) is the center of the circle and 'r'…

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Q: Write an equation for the function graphed below 5+ 4+ 3+ -7 -6 -5 -4 -3 -2 2 3 4 5 6 7 y = da P -1…

A: To find the equation of the given graph we shall use the definitions of horizontal asymptote and…

Q: The particular solution of the differential equation: (x + 2)² d²-(x + 2) dx +y = (b + 1)(b +…

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Q: Suppose a community of RSA users share the same encryption exponent e but each user i has their own…

A: Solution:RSA users share same encryption exponent e but each user i has their own encryption modulus…

Q: Q1 Rewrite the polar equation r= 2sinecose in Cartesian form-

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Q: Q4 Find the area of the region that lies outside the circle r-1 and inside the cardiod r-1-cos ()

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Q: Solve for the Maclaurin series expansion of ex and use the series to evaluate e0.77. What is the of…

A: Sol

Q: Find product solutions of 2 H J² Jx² 4 Ju day

A: Given PDE is ∂2u∂x2=4∂u∂y       (1) Let the product solution be u(x,y)=XY                (2) Putting…

Q: Show that B is the inverse of A. 9 6 18 A = L 1 1 3 B -1 -1 -2 STEP 1: Find AB. AB = STEP 2: Find…

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Q: You have carried out an experiment to investigate the effect of the length of a pendulum on the time…

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Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

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Q: y(x) Use Euler's method with step size 1 to estimate is the solution of the problem y + 3x²y = x²…

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Q: uming that the retarding torque is pro

A: Given as, Torque is proportional to ω.

Q: (b) Prove that the set S = {x EQ: √2<x<√3} is closed and bounded in (Q.1-1), but not compact in…

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Q: Exercise 4-9 All the following proofs have only one premise and can be completed in a very few…

A: This is a question of logic

Q: Determine whether the following statements are true or false. If true, provide a proof; if false,…

A: 1.  Counterexample to part A , all function are continuous (0,π) but there does no exist a point…

Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: Calculate the least common denominator of + + +42 + 3 and. Goth-1 2+1 2x32

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Q: 1) Write the given second order equation as its equivalent system of first order equations. u"…

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Q: Q11/ Use Fayler series method to solve the in it at value problem and Find location error I y = 1² +…

A: Given differential equation is y' = t2 + y,    y0=1,   0≤t≤1   Step size h =0.5 Initial guess:  x0…

Q: Daniel Bernoulli's work in 1760 had the goal of appraising the effectiveness of a controversial…

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Q: Q6: (a) In any metric space (S, d), prove that every compact subset T is complete. (b) Prove that…

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Q: Graph the equation. 3x +2y = 6 Use the graphing tool to graph the equation. Click to enlarge graph…

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Q: [103] Find A from A where A = 4 5 1 a-57 b-67 c-77 d-87 e-97 [278] a C O do e

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Q: s) Solve the Boundary Value Problem v²u=0, 0<x<3, 0<y<3 u(0, y) = u(3, y) = 0, 0<y<3 u(x,0) = 0,…

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Q: 3Q: If z₁ = 1.5 cisand z₂ = 4 cis(-7) find and express it in the rectangular form.

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Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: A tunnelling machine drills 500 metres. Use your values from the table to estimate the cost of…

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Q: c) Let (M, d) be a metric space and let S,T≤ M. Prove that SOT = ST. But SOT SOT.

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Q: 13) Consider the solid Q bounded by the surfaces S₁: z=1-y², S₂: z=x, S3: z=4-x-y, S₁: y=0, S₁: z=0…

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Q: Consider the equation =ay - y² = y(a — y). dy dt - a) Consider the cases a 0. In each case find the…

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Q: Let f be differentiable on [a, b]. Prove that there is a sequence {x₂} ≤ (a, b) such that xñ ⇒ a and…

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Q: Solve the given differential equations: 1. 3x²y dx − (x³ + y³)dy = 0, y(1) = −2

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Q: hand written plz 2. Using the Buchberger's Criterion, determine whether the following sets G are…

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Q: In​ 2005, there were 14,000 students at college​ A, with a projected enrollment increase of 500…

A: Given: In​ 2005, there were 14,000 students at college​ A, with a projected enrollment increase of…

Q: 1- SOLVE THE FOLLOWING INTEGRALS 2-WHEN SOLVING POINTS A AND B, STATE THE REASON FOR BOTH POINTS,…

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Q: Let y'= - ty + 0.1y³ and y(0) = 0.70. Use Euler's method to find approximate values of the solution…

A: Let us find the approximate values of the solution of the given initial value problem by Euler's…

Q: 3-if ix-x ≤ CIB_l then we say (r) converges to x with rate convergence and write by x₂ = 1 +8₂

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Q: Verify that f has an inverse function. Then use the function f and the given real number a to find…

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Q: O Question 11 A company produces very unusual CD's for which the variable cost is $7 per CD and the…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…