3) Determine and sketch the convolution of the following two signals both analytically and graphical method: t + 1, 2 - t, 0

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A: Max Z=$32x+$24y Subject to: 3x+2y≤540034x+23y≤1400x≤1000y≤1200 The graph is,

Q: 3. Find the maximum and minimum values of a 1 āz - on |z| ≤ 1 (where a with la| < 1 is fixed)

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Q: 3 -4 Define T: R2 → R by T(x) = Ax, where A = 4 -4 1 -1 -([-4]' T %3D 3

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A: as we now for a linear map T(01 ) = 02  where 01 is zero of domain and 02 is zero of codomain

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A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: *18. (section 3.4 ex 3.) Prove that if f(r) is continuous and f(z) = S() dt, then f(x) is…

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Q: 2. An LTI system has an impulse response h(t) = e u(t) and an input x(t) shown below: x(t) 1(sec) a.…

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Q: Let H(x)=0∫x√4−t^2 dt, for −2≤x≤2. a) Evaluate H(0) b) Evaluate H'(2) c) Use geometry to evaluate…

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Q: Find the Wronskian of a given set {yı, y2} of solutions of 7. (1 x2)y"-2xy' (a 1)y0, _

A: Consider the given equation.

Q: please solve this linear algebra problem.

A:

Q: Let f(x, y, z) = x³e" Vz² + 5 and let x = rt², y = r2t², and z = sin(t) cos(r). (a) Draw a tree…

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Q: 1) Find the norm of the following operators d) T:C[0,1] → C[0,1] by (Tx)(t) = f¿(t - s)*x(s)ds

A: Norm of operator gives the idea of size of any linear operator. Norm of can be found as .

Q: Find the value of x for which A is not invertible: x – 1 | 1 A = x2 x +2

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Q: In each of the following problems, find the Wronskian W(y1,y2)(x) of the given list of functions and…

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Q: The linearization at a = 0 to v4 + 4x is A + Bx. Compute A and B. A = B = %3D II

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Q: 25. Suppose that T: R2 → R² is a linear operator such that T. -1 | T. -1 Is it possible to determine…

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Q: 4. Use the I.V.T and Rolle's Theorem/M.V.T to prove that the equation below has a unique solution in…

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Q: Please solve

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Q: 1 2 [1 0 Find a mat rix P such that P-- 0 -1 0-1 1 - %D OA. 1 -1 0 P = В. 1 1 1 0 %3D OC. 1 1 1 0…

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Q: 13.Let x(1)(t)=(ettet),x(2)(t)=(1t).x1t=ettet,x2t=1t. Show that x(1)(t) and x(2)(t) are linearly…

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Q: Obtain the TSE of h(t) = 2t (1+t)¯¹ in powers of (t – 1). - O-1 + ½(t-1)-(t − 1)² + ½ (t− 1)³ – ½⁄(t…

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Q: Q3: a) Let ƒ : Z → Z be such that f(x) = Vx² – x + 1. If invertible, and if it is, what is its

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Q: 1. Let flxx) = x³ + y3 - 3x2-3y2 - 9y. (a) Find all of the critical points of f.

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Q: 22) A- Find the distance between the line (y=x+3) and center of circle (x²+y²-2x=0). B- Using…

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: We will first find for h=0.1.

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Q: 2. Let T: R³ R³ be the operator given by 1 1 T(v) = 9). 1 Determine whether T is decomposable or…

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Q: 5.19 Consider the mapping T: L'(0,2) L'(0, 2), (Tf)(x):= f(t)dt. (i) Show that T indeed maps L'(0,…

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Q: 10

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Q: 1. Use the Wronskian to show that the functions are linearly independent. Yı = e*, y2 = e2*, y3 =…

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Q: (11) Let G(x) = 1 In(1+t²)dt. (a) Find G(1).

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Q: Consider the following operator A : L²[0, 1] → L'[0, 1] A(f)(x) = (f(x))² + f(x). If this a linear…

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Q: 18. (2) = t"(-t)" dt, show that F(m). m! +1, n+1 %3D m and n are positive integers.

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Q: 19: Find two linear operator T, and T,on V(R) such that T,T, = 0 but T,7, - 0.

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Q: QV A/ Find at (t-) as a funetion of t, if (x = t).(y= vE)

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Q: Let k be a constant number. (a) Compute (1+x + x²)*. (b) Find the linearization of (1+x + x²)k at x…

A: given

Q: 2) Employ the following methods to find the maximum of f(x) = 4x–1.8x² +1.2x³ –0.3x* (a)…

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Q: Let yı(t) = 2e3t + 4e-t 3est +10e and Y2(t) 4e3t + 2e be3t + 5e-t a. Compute the Wronskian to…

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.