Use appropriate Lagrange interpolating polynomial to approximate f(8.2) , if f(8.3) = 17.56,f(8.1) = 16.94 f(8.6) = 18.51

Q: Find two power series solutions of the given differential equation about the ordinary point x = 0. y...

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Q: Let V be a vector space of dim 3 over R let T : V → Vbe a Linear Transformation 1. -1 given by the m...

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Q: -2 -1 -4 0 A = 1 4 01. -2 -1 -4 0 Find dimensions of the kernel and image of T(7) = Az. dim(Ker(A)) ...

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Q: Differentiate the two most common methods use for depreciation.

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Q: 2. Let the rref of a matrix A be, 1 0 2 0 -2 0 1 -5 0 -3 0 0 1 6 Determine A if the first, second an...

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Q: Give an example of a sequence of continuous functions: fn: [0, 1] R that is pointwise convergent but...

A: Consider the function fx=0, x is irrational in 0,1mn, x is rational in 0,1. This function is called ...

Q: Given the matrix A and an echelon form of A. Find the rank of A. 3 -5 -1 3 -7 9 -4 9. -11 A -5 7 -2 ...

A: We have given , A = 3-50-13-79-49-11-57-25-73-7-340 Also we have given the row-echelon form of matri...

Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Lu,, by grouping the...

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Q: 2. Let the rref of a matrix A be, 1 0 2 0 -2 0 1 -5 0 -3 0 0 1 6 Determine A if the first, second an...

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Q: 4 1. s+9 s-5 20 2. G'. s+3 1 7 5s –3 6s – 5 4s +7] 3. с1 3s – 2 4. 6 s2 +8s+ 25) s+7 5. 1 (s² – 3s –...

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Q: Solve the differential equation (1+ e"/y)dx + e"/y 1 |dy = 0

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Q: Four candidates are running for mayor of Enterprise: • Cooper (C), • Vickers (V), • Brooks (B), • Sm...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: 1st we will find component of Ap on line L and then will use triangle law of vector addition to find...

Q: Astronomer Edwin Hubble postulated a relationship between the distance between Earth and the velocit...

A: Distance (Mpc) Velocity (km/s) 51.8 4,590 12.2 1,234 271 17,695 46.2 3,752 58.2 5,118 46...

Q: Which of the following statements is/are true regarding the matrix A? -51 0 2 3 A = | 1 -4 -9 7 A) T...

A: We have to find the correct statements for the given matrix A. For this, we have to find the rank of...

Q: Written assignment 1: Prove Proposition 6.39: Let n EN such that n> 1. Then n has a prime factorizat...

A: The problem is related to number theory. By strong induction assumption we try to prove proposition....

Q: Liam makes fruit punch by mixing orange and pineapple juice 120 ml of orange juice 320 ml of pineapp...

A: Liam makes fruit punch by mixing orange and pineapple juice 120 ml of orange juice 320 ml of pineapp...

Q: Find the radius of convergence and interval of convergence of power series зп-1 (х — 3)т. |

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

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Q: 1 4. 1. L s+9 s- 5 20 1 7 2. s+3 5s-3 6s-5 3. 4s+7

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Q: 6s? – 13s + 2 F(s) = s(s – 1)(s – 6)

A: It is known that: L-1ks=kL-1ks-a=keatL-1a·fs+b·gs=a·L-1fs+b·L-1gs

Q: 7. Find the Inverse Laplace Transform of 3/ sqrt [(s - 2)^3] * A. (6/T) [ t^(1/2) e^2t] B. (6/T^1/2 ...

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Q: Solve the following. A. Cards If a card is drawn randomly from a deck of 52 cards find the probabili...

A: Given, A card is drawn from a deck of 52 cards. To find -1. Probability of getting red              ...

Q: • (d) ((A – B) + D / ((E + F) * G)) • (e) ( A – 2 * (B + C) / D * E) + F

A: (d) Prefix :           (A-B) + D/((E+F)*G)          -> +(A-B) D/((E+F)*G)          -> +-AB/D((...

Q: Show that the g(x,y) has minimum of 0 in the region 0 ≤ x ≤ 5 and 0 ≤ y ≤ 5, occurring at x =3 and y...

A: It is given that ;                   gx, y = x2+y-112 + x+y2-72   ..............(I) We have to show ...

Q: Prove that if gcd(a, b) = 1 and gcd(a, c) = 1, then gcd(a, bc) = 1. %3D

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Q: Ven dy' j + z k B - yi + 4x ĵ + 3²Ê %3D 3. i x (6x マ×(Gx - マ(マ.) - v* つさ

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Q: Construct the dual

A: Given problem is max z = -x1 +x2s.t.        2x1  +2x2  ≤   10           x1  + x2   ≥ -2           x1...

Q: A parachutist of mass 68.1 kg jumps out of a stationary hot air balloon. Use Eq. (1.10) to compute v...

A: Given: Mass of the parachutist= 68.1 Kg The velocity equation is given by v(t)=gmc(1-e-(c/m)t) g=acc...

Q: Determine whether the following series converges, and if so, find its sum. 1 ( a) Σ 271 (n + 1)(n + ...

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Q: A legislative committee consists of 8 Democrats and 10 Republicans. A delegation of 4 is to be selec...

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Q: Don't use calculator to solve.

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to approxi...

Q: 6x²y dxdy 2 dy 6x²y dydx dx

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Q: | (r log x)² dz,

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

Q: 2+31 ++8, Express the answer in rectangular form. B. Evaluate the expression C an

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Q: Find all complex numbers z of the form 2 =x+iy such that that ZZ = = 25 and *+ y = 7.

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Q: Recall sA : R" → R is a support function given by SA(x) = sup p•x PEA %3D Let A, B be nonempty close...

A: The given function sA:ℝn→ℝ is a support function defined as: sAx=sup⏟p∈Ap.x (a). Let A,B be non empt...

Q: Use ratio test, iternating series test, in (6) S = E=o; Hint: split the series into 2 series 2n=0 n2...

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Q: 1.6. Consider the arrow diagrams for the relations R and S and answer the questions related to them....

A: Since there are multiple questions, we will solve the first question.  Repost the question to get it...

Q: Prove that every group of order 78 has a normal subgroup of order 39.

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Q: You have collected the following data: a-3.5 b-26.25 20-0.25-8.75 16 |-1 0.5 1.5 3 Assume variable a...

A: We are given a data. We need to find a cubic function which best fit the data. That means we need to...

Q: Plz solve this particular soloution like the example that i attached Solve using second method that ...

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Q: Define dircect proof

A: Direct proof: a direct proof is a way of showing the truth or falsity of a given statement by a stra...

Q: Let A be a subset of the group G. Prove that the normalizer of A, NG(A) = { g e G : gAg-1 = A}, is a...

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Q: (a) Suppose that the squared matrix A is symmetric and all its eigenvalues are different. Show that ...

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

Q: Use a direct proof: p is a prime # and x ∈ Z. If x2≡x (mod p) then x ≡ 0 (mod p) or x ≡ 1 (mod p). S...

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Q: Consider the weighted voting system (30: 25, 8, 8, 5, 2}. Are there any players that are dictators, ...

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Q: Which of the following series is convergent? (1) to cos(nn) 5n+1 (1) E (II) E n? !5+2n² (III) E +00 ...

A: 1)  ∑n=1∞ cos(nπ)5n+1 cos(nπ) = (-1)n ∑n=1∞ (-1)25n+1 Here limn→∞ 15n+1 = 0   and 15n+1 is decreasin...

Q: Given trna -2 0. 1. -1 -4 0. 1 0 2 -1 -1 1 3 -2 write -4 as a linear combination of the vectors -1 -...

A: We want to write vector in linear combination of given vectors.

Q: Consider maximising 10 - x2 - 4y2 + 2xy where where x > 12. What y-value solves this maximisation pr...

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