(n² – 3n – 21) ÷ (n –7) -

Q: Equating the coefficients of corresponding powers of t gives 2/3(13A2 + 2) = 10A2 + 1, (2.200)…

A: 2313A2+2=10A2+1   .....(1)2935A3+10A2=10A3+2A2     ...(2) We need to solve the equations to find the…

Q: (2) |R| = |2N].

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Q: • Ann computes z(-1)+1 +C = undefined 'dz = (-1) +1 +C= +C= • Bob computes zl-1)+1 1 %3D (-1) +1 •…

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Q: Q3: Solve the difference equation: y[k] -y[k - 1] +y[k - 2] = ( using Z transform.

A: What is Difference Equation: Any equation with a variable difference in it is a difference equation.…

Q: x+2 Q2) k(x) -Vx – 2 , n(a) = x²(x² + 1)¬1, mx) %3D 3-x Find a formula for (n oko m).

A: A composite function is a function that depends on another function. A composite function is created…

Q: (5 + 6t)7 16x* +6sec(x) x-3cos(x) In(x2 – 1) 2e3x + ex³

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Q: ker(A) = R104 %3D O ker(A) = {0} %3D ker(A) cannot be determined from this information

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Q: 4n +5 Describe the long run behavior of f(n) = 3nº – 5n° As n → – 00, f(n) → As n → 00, f(n) → Add…

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Q: The number of computers N (t) (in millions) infected by a computer virus can be approximated by 2.2…

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Q: 1 (2r + 1)(2r + 3) 6 2(2N+ 3) 1 1 Use the method of differences to show that s=1 2N 1 1 Deduce…

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Q: y-9 a Let | fgf — -4.Find |2a—5х 2b—5у 2с-52

A: here we have abcpqrxyz=-4  R1↔R2 by interchange, the row determinant will negative pqrabcxyz=4…

Q: min13л1 + 4x1р + 1; — Зл1 + 2т, x'0) = (0.5,0) What is the step size for the first step? use armijo…

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Q: How do I calculate this? If Z~N(0,1), calculate Pr(1.55 < Z < 2.65)

A: Given that, Z~N(0,1)

Q: n2 1 SHOW ALL OF YOUR WORK. 3. an = 2n +1 2n + 1" (а) Find aj, а2, аз, а4. 3 (b) Compute > a;. i=1 4…

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Q: If x1 = 2, xn = 3xm-1 + 2, Vn > 2. Find the general tem æn

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Q: Consider the realization r' = -3r + u ; y=2x. = 5 for the (a) Find an input that drives the state…

A: We will first find the transfer function T(s) of the system. Next we will determine the output y(t)…

Q: [2 1] Q2) Assume A = |1 3 L3 4] - anda-: [2 4 1 B = show that (AB)' = B' A' 13 6 4

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Q: Q1) If B = B-1 then B = I or B = -I. Prove or give counter example. %3D

A: A detailed solution is given below.

Q: Evaluate the integral. S. 3n/4 -8 csc 2 x dx T/4 Select one: A. 16 В. 8 C. 0 D. -16

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Q: E-o(-1)"(n+ 1) x“ = (1+x)² 1 2.b) for |x| < 1 %3D n=0

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Q: Xn+1 = f (n, Xn-k), n = 0, 1, · · ..

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Q: y"-2xy'+8y=0; y(0)=48 (where 4 is the tens digit and 8 is the one digit), y'(0)=7 find y(0.2) and…

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Q: Consider z1 = 1- j2 and z2 = -2 + j3. What is the result of 5z1 + 3z2? %3D -1 -j O 1-j none of the…

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Q: . A dolphin jumps out of the water. Its jump path can be modeled by h = -0.17d + 2.8d. How far did…

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Q: Z₁ = 5x₁-x2 Z₂ = x₂ + 2x₂ x₁ = y₁ + 2y2 - Y3 x₂ = y₁ - y₂ y₁ = 2w₁ y2 =W₁-W₂ Y3 =W₁ - 5W₂ Show that…

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Q: - The population, P (in thousands), of a town can be modeled by P= 2t – 5 +6, where t = 0 represents…

A: To find: The two years in which the population of town is 12000. Given: The population is modeled…

Q: 2 1.5 0.6 09 1.2 Reason for similarity?i * SSS- * SAS- H AA 1 NNS

A: SSS (Side-Side-Side) SSS Similarity Theorem: If all three pairs of corresponding sides of two…

Q: o(1- a2)"dæ : 2ª" (n!)² (2n+1)! 10. Show that for n =0,1, 2,.... (0! = 1 and

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Q: The following series 3 2n+1] (-1)" 4n 3n n=1

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Q: (c) Derive the following formulae (i) Σ Fra"(n+1) 2 (ii) n(n + 1) (2n + 1) 6. r=1 (ii) 2 n(n+1 2 r-1

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Q: 5xdx 3. Find the integral (x-1)3 -5 5 а. 2(x-1)2 + C x-1 -5 b. 2(x-1)2 + C x-1 c. In (7DE) – in () +…

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Q: 27 Find (all) the value(s) of c such that 3c2n 8. %3D n=0 (A) c=3 (B) с 3 4 (C) c=-33 (D) c = } (E)…

A: Substitute the value of c as 0, 1 and 2 in the nth term to find the generated series.

Q: 16.) P Cn, f); For exomple, how do you compute PCG, 3) example, compute C CG, 3) or C§)

A: Permutation is number of ways of selecting and arrangement of r items out of n items. Combination is…

Q: Find the third term of: E33-1)n+1 (z+3)2n (2п)! Σ n=D

A: This is a problem related to series expansion and calculating the term of it. Since series is…

Q: -2) Calculate A-1 by 2 Let A = 1 2 1 -1 -1 A-' = ÷(-A² + 3A +I). and verify your result by showing…

A: Given: A=12-2121-1-10 Therefore,…

Q: III (J ) (1 4 Determine the value of the term independent of x in the expansion of: 5 20)(1 (1 - 4)°…

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Q: (エ+1)n n=D1

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Q: Q.No.1. -1 21 8 5 9 3 9 4 2 3 5 6 6 Find A¬1-from any'method, Let A = L3 12

A: Given: A=12-123585669331294

Q: (1) In an AP the T5 = 27 and the T13 = 67,  find S20 term

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: 00 (1) 2n 27. n=1 А. 2 В. -3 С. D. Е. Divergent

A: (27). The sequence is defined by To determine : The value to which the sequence converges.

Q: 2km+3(m+k)+4 E(Xkym) = (k+1)(k+2)(m+1)(m+2) where k and m are both nonnegative constants. Determine…

A: Given Using the joint distribution describing X and Y, the following formula was derived   where k…

Q: = 2 = z = i, Zn+1 > 1+p tn+2 = 1+p2 tn+1 Zn+2 = 1 +p" <1+P7 =i = 7, un IN

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Q: Solve the recursion by substitution for  T(n)=2T(n/4)+n2 where T(1) =1

A: To solve by putting T(1)=1

Q: If Chai goes on a training program, he estimates that his fitness level (F), in n weeks after…

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Q: -25 (1+j2 Show that (3+j4 2- = 57 + j24 -j - 2

A: The expression to be proved is  -2521+j23+j4-2-j5-j=57+j24

Q: I sh gw thal- the sequue P, = to p-o. 2 Use Horner's Method to find fm for far-2-2,!

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Q: 2у" + 3у' + у%3D 3sin x + xe

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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.