Prove that jer² √ d dx = 2

Q: Prove that Hence deduce that L{x"; p} r(n + 1) pn+1 " if n>-1, p > 0. L{x-¹/2; p} = √√(π/p),p> 0

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Q: n of a series with its own lagged values is called

A: The correlation of a series with its own lagged value is called as autocorrelation

Q: Consider the statement form (PQ) IR Now, find a restricted statement form logically equivalent to…

A: a) Consider the given statement, P↓Q↓R Here we need to find logically equivalent restricted…

Q: x₁ - 5x₂ = ₁ X1 3x₁ + 2x₂ = b₂ i. b₁ = 1, b₂ = 4 ii. b₁ = -2, b₂ = 5

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

Q: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. 1 Find the unit vector…

A: Given, X = -i + 3j  and Y = 4i -2j + 2k

Q: Prove that L (sin² x 2/3 ; p} = 1/ 108 р x (1²,5 + 4)

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Q: 12 1 If R = and S= 31 0 that R² = 2R+cS. (5 pts) 0 1 find a number c such

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Q: Which of the following defines a function on a given domain? a. f(x)= ; domain = {1,2, -3, -6} X x +…

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Q: What vertexes have the short

A: Given: Graph with 9 vertices To find: Vertex having shortest path

Q: 2. Marie, Ten-ten, My-my, Shayne, and Gelli plan to form a musical band. In how many ways can they…

A: We have to find how many ways can they be seated in a round table if Ten-ten and My-My will not sit…

Q: Consider the system 12x + 7y+ 3z=22 x+5y+z=7 2x+7y-112=-2 with initial guess (1,2,1). Using…

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Q: Apply Newton’s approx. to find the value of x for cos x = tan x; x0 = 1.

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Q: Question 1 Which function below can represent a pulse, given that H() is the Heaviside function…

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Q: n² Determine whether the series En 3n+1 ln(n+1) 2n=1 is convergent or divergent.

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Q: 4. Give the general equation of the plane containing the point (3,-1,4) and 2- z perpendicular to…

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Q: how many possible orders can the letters of the word MATHEMATICS be arranged?

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Q: and x + x²? (a) 3+x²+2x¹ (b) 2 + x − 3x² + x³ (c) 2+x+x³ (d) 3+x-2x² + 3x³ 4. The space of 4-by-4…

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Q: 1. Determine whether the series Σn=1 3n+1 ln(n + 1) n² +∞ is convergent or divergent.

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Q: Find the volume of the parallelepiped having adjacent edges u, v, and w; for u = (1,-1,0), v =…

A: We have to find the volume of the given parallelepiped.

Q: Q3) the following force balances: 0 = k(x2-x1) +m₁g - kx1 0= k(x3 -x2) + m₂g-k(x2-x1) 0= mag-k(x3 -…

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Q: c. Calculate the angle made with the positive direction x- axis by the vector of (a) v= 3₁+ 4j (b)…

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Q: Ex 2.6. for sets ASB CC show that C=BU(CIA)?

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Q: Select the range of the graph below. Select one: A. All nonnegative real numbers. B. All real…

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Q: 2T S S 0 4 0 cos o p sin³ o dp do

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Q: 11. a. 2x₁ - 3x₂ + 5x3 = 7 9x₁ - x₂ + x3 = -1 x₁ + 5x₂ + 4x3 = 0 - 3x3 + x4 =1 5x₁ + x₂ 1 8 = 3…

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Q: 3. Evaluate using convolution theorem: ਕਰ S(514)

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Q: 3. There are 9 dots randomly placed on a circle. How many triangles can be formed within the circle?

A: The number of ways r items can be selected from n different items is equal to C(n,r). The formula…

Q: b-a Use the theorem (≤ ) to find a bound for the number of iterations needed to achieve 272 an…

A: The given problem is to find the number of iterations required to achieve an approximation with an…

Q: Find the Fourier transform of 4x if 121 <a f(x) - o if 1x129

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Q: 1. The Surfs-Up Company manufactures sailboats. The sailboats are made at plants I and II; the…

A: A. The flow diagram of the given problem is shown below, So it can be explained as let consider…

Q: 3. Find the z-score of the following data: μ=77.1, 5.1, and x-84 z-score=

A: We need to find the value of z-score given x, mean μ and standard deviation σ

Q: √ x³ e-x sin x dx 0

A: To solve the given integral  ∫0∞x3e-xsinxdx

Q: f(t)=48(t+2)

A: This is a problem of the Dirac Delta Function.

Q: DIRECTIONS: Draw the following sinusoidal waveforms: e = 120 sin (wt+200) i=-25 cos (wt-n/3) e = 220…

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Q: Maximize f = 7x + 5y subject to the following constraints: 3x + 4y < 24 2x + 1y ≤ 10 x ≥ 1 Find the…

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Q: R(t)=250 (t2/(2.718)3t)  where R (t) is the overvaluation in percent and t is the time in months…

A: The given function is R(t)=250t2(2.718)3t. To Sketch: R(t), R'(t) and R''(t).

Q: If an employee worked in more than one province or territory during the year the employer should:…

A: Solution :-

Q: b. Minimize Subject to: Z = 2x1 + 3x2 4x1 + 2x2 2 20 } E 2x1 + 6x2 2 18 F 1x1 + 2x2 ≤ 12 X1, X2 20…

A: The given linear programming problem is                       Min Z=2x1+3x2 Subject to…

Q: Sketch and label both the original and the transformed functions on the same grid. f(x) = x g(x) =…

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (2,3,-1)…

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Q: The approximate integral value of the following data points of (x, f(x)) using trapezoidal rule is:…

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Q: Exercise Set 1.6 In Exercises 1-8, solve the system by inverting the coefficient matrix and using…

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Q: Show that 1 – 1 { /* ¹ = " du; p} = ²/ 108 (1 + ² ) ₁ log L 14

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Q: Determine which are all graphs that are bipartite and are isomorphic to their complement. Prove your…

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Q: 3R- Q1/ The volume of liquid in spherical tank can be computed as V = πh²[³R-¹], If R = 6 m, what…

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Q: 9. x₁ - 5x₂ = b₁ 3x₁ + 2x₂ = b₂ i. b₁ = 1, b₂ = 4

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Q: Simplify and state any restrictions on the variabl y²-2y-B a) 2y²-8y y²–4 y-2 + 2X+1 (x-2)² b)- - 4…

A: First we can simplify these expressions. Then we find the restriction on variable.

Q: Hence evaluate

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Q: nd Term = 246252 3rd Term

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Q: ONSTR the onowing mca x' (t) + 2x(t) == 0 where is an unknown function of the real variable t. 1.1)…

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