Find of the operstor a norm A(x) = S (2.+st)x(t)dt %3D A: C [o,1] →L [o,I] O a. 2 O b. 7/12 O c. 11/12 O d. 1/2 O e. 1

Q: Consider the function f(x, X2, X3, X4) = x+3XX4+2x2 8xxX4 +3x+7xa? O a. Fis positive definite Ob.…

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Q: F Let f(x,y)= In (y+2)+2xy, Compute f(0, -1). OA. 1 OB. 1+e OC. 0 OD. e

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Q: Find of the function x³ z2 – 5æyz = a? + y %3D

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Q: Find a norm of the function f(t) = t² in space C" 0, 1, where norm is given by formula max|f(t)|+…

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Q: Let X1,., X,id N(u,02). Define a =X1 +X. Find the bias ofu. (b) H (a) (c) u 5 3 (d) (e) None

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Q: Consider the functions f:Z ×Z → Z Which of these are surjective? 1. f(a,b) = a² – b² II. f(a,b) = a²…

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Q: O {1, z+ 3, 2a, sinz In 2,1

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

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Q: Find a norm of the operator A(x) = o (s4 + s? )x(t)dt in space C[0, 1]. a. 4 Ob. O c. 2 4 O d. 15 1…

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Q: sine : N → [-1, 1] n H sin(n) 14 18 20 22 24 26 28 30

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Q: (18) Find [S], where S = {(a, b, c)|a, b, c E [100], a <b, a <c}.

A: Here is how the set S is defined: S = {(a, b, c) | a, b, c ∈ [100], a &lt; b, a &lt; c}   We must…

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A: Given that  f(t)=2t^2-2t C[0,1] To find the norm of the function

Q: 1 dx. Compute O V5 V2 2 V5 2 O 2/5 – 2/2 O V5 + v2 2 V5 – V2 - 2.

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Q: True or ‏False

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Q: 4. Consider the vector-valued function R(t) = a. Find the domain of R b. Show that R is continuous…

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Q: Bölüm 3 ) Let R= (a,b] x [c, d]. Let f: R R function be defined as f (x ,y) = gx) hly) hi [c,d] →R…

A: Here I am attaching image so that you understand each and every step.

Q: Let L = {(3,0,5) + t(1,0,8)t E R} and L2 {(4,0,6) + s(6,0, 1)t E R}. Let (r, s.f) be %3D the point…

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Q: Show that the given set of functions is orthogonal on the indicated interval. Find the norm of each…

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Q: 9. 2 + 1, t2 – 3, t3 + 1 Let C be defined by r(t) = for 0 <t< 2 Evaluate (2x² – 6y)dx + (y – 6x)dy +…

A: The given position vector r(t)→=2t+1, t2-3, 9t3+1 for 0≤t≤2 is the parametric form of the curve C…

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Q: Q2 Consider the DE ď¹²y = √ (4+dy) 5 dx (i) Order of this DE is_ (ii) Degree, (iii) Is this DE…

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Q: Let E/F be a finite Galois extension. Let Kị and K2 be intermediate fields

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Q: 8. Find a polynomial g(x) of lowest degree with zeros of -3 (multiplicity 2) & 5 (multiplicity 2) &…

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Q: Integral Representation for F₁ : T(c) T (b) T (c − b) √ ¹³-¹ (1 − p)²-b-1 (1 − x1)¯ª di − 1⁰-¹ - 2…

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Q: Evaluate the integrand S(2 + 5x)e dx using IBP. A. 5xe – 39e* + c B. 15xe – 39e* +c c. 15xe* – 9e*…

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Q: dw at (u,v) = (1, 5) for the function w(x, y) = xy - y; x = u - v, y = uv. Evaluate du -65 O 4 0000

A: Given:    wx,y=xy-y2              x=u-v              y=uv

Q: with D= 0. Obtain its T.F.

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Q: Let T : R3 → R* defined by T(v,. Vy, 2,vg) (3, Vz, v1). Find T’(v) and T10° (v)

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Q: Find a norm of the function flt)= t+2t in space C^co13 %3D where normis given by formula ms x…

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Q: Discrete

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Q: Consider F and C below. F(x, y, z) = yzexi + e*²j+xyek, C: r(t) = (t² + 1)i + (t² − 2)j + (t² − 3t)…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.