Let 5 be the schwartz class. show that if then ang →ng and In q q in s, y²q→→y²g in forr every 1, m in s, then

Q: Ton work ty 3.5] Consider the Fuclidean vector space IRS with the dot product. A subspace U c/R³ and…

A: The given vector space is the Euclidean vector space  with dot product.The given subspace is:, .

Q: . How many 8 digit binary strings have exactly 5 ls?

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Q: If A / B So .... A. ¡({A), AB)=AB 3. (A), AB)=Ø C. (A), AB) C AB D. (A), AB)-{B} Give an…

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Q: Find the length of the curve defined by

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Q: Consider the functions C: R → R and S: R → R defined by C(x) = Σ n=0 (-1)" x ² (2n)! and S (x) = 00…

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Q: Prove the following matrix is hogonal. Is the matrix in SO(n)? (1/√2 -1/√2 (² 1/√2 1/√√2

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Q: Motorcycle Noise A recent study of 42 motorcycles found that the average noise pollution in decibels…

A: Sample size Mean Standard deviation Confidence

Q: Part A: 527 Hundred's place: Part B: 54673 Ten thousands place: Place: Part C: 93 Ten's Place: Ten's…

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Q: 6. Compute a closed form for (2) 2(1) + 2² (2₂) — 2³ (3) ... + (−1)n2¹ (n).

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Q: If D(L AOB) states the set of points located on the OA side containing point B and the OB side…

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Q: Write the function in terms of unit step functions and find the Laplace transform f(t) = { 2, -2, 0…

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Q: ▪y"" + 6y" + 11y' + 6y = 5e-2x + 6x

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Q: Let x₁ = √P (P >0) and XN+1=√P+X (N21). Show that (XN) converges and find the limit.

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Q: Compute the conditional probabilities P(A|B) and P(B|A). (Round your answers to three decimal…

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Q: 2. The number of lawn signs being posted in a city for a certain candidate has been growing…

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Q: Give the definition of the sum of a series of complex numbers, and show that the Comparison Test…

A: Definition: Let    be  a  sequence  of complex  numbers and   be   the  nth partial  sum  of the…

Q: 2 -2 EXB Solve X²³ Y-3x² y +6xý - 6 y = 30 X By using inverse operator

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Q: (b) Show that if h(1) = h(2) = 0, then the term O(e) in this expansion vanishes if y'(x) satisfies…

A: To show that the term   in the expansion vanishes under the given conditions, let's consider the…

Q: If the distance of the earth from Sun is 1.5 × 10º km. Then the distance of an imaginary planet from…

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Q: Prove C(n,0)=C(n,n)=1 for all whole numbers n

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Q: Y(s) For the following transfer function, = F(s) where U(s) = U (s) erive the time function y(t).…

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Q: 9y" + 6y' + 4y = 0; y(0) = 3, y'(0) = 4

A: (22)

Q: 1 y = - and y= 36 - 16x² X

A: We have to find the roots.

Q: Solve the given initial-value problem. d²x dt² + 4x = -2 sin(2t) + 3 cos(2t), x(0) = -1, x'(0) =

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Q: For the series below calculate the sum of the first 3 terms, S3, and find a bound for the error.…

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Q: x'= x +z, y'= x +y, z = 2x - z, x(0) = 1, y(0) = 0, z(0) = 0

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Q: The Question Express the function 0 = -{- 0 f(t) t 2 in terms of unit step functions and hence…

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Q: First determine a recurrence formula for the coefficients in the (Frobenius) series expansion of the…

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Q: Use the graph to the right to evaluate the following expressions. (a) (f + g)(0) (b) (f-g)(-1) (c)…

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Q: Suppose that the probability of observing |0⟩ in the state |ϕ1⟩ is 1/4 and the probability…

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Q: 13. If n is a square, show that d (n) is odd. 14 TC

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Q: 1. Evaluate: 138 - 142 +2154 2. Evaluate: (2/30° )( 4/20°). Express the answer in algebraic form. 3.…

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Q: A beverage cans manufacturer makes 3 types of soft drink cans needed for the beverage producers to…

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Q: If A, Band C are three points on the hyperbola yx = c^2 such that AB subtends a right angle at C,…

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Q: If A is a 12 x 10 matrix, what is the largest possible rank of A? If A is a 10 x 12 matrix, what is…

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Q: 1. Find the value of k that satisfies the following equations: (a) (b) det [301 302 3a3 361 362 363…

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Q: Find the scalar equation for the plane passing through the point P(-5, -5, 5) and containing the…

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Q: t = 31?/6 (a) Find the reference number t for the value of t. t =   (b) Find the terminal point…

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Q: A tank is filled with liquid of density p= 1000 (in kg/m^3). Its shape is obtained by rotating the…

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Q: 23. y" - 6y' +25y = 0; y(0) = 3, y'(0) =

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Q: 3. Consider the following function f(x, y) = 1²y + 2y²-2ry +6. (a) Find all first and second order…

A: Given a two variable function such that                             We have to find : (a) All first…