1. Find all the distinct values of (1 – i)5/4, then plot the results on an Argand diagram.

Q: Exercise 4. Consider the matrix a A = c d = 0. (Hint: Find a lincar (i) Find a monic, quadratic poly...

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Q: Find the solution of the equationln(x + 2) – e¯* = 0. Using secant method with = 0 and x, = 0.5 Xo %...

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

Q: coth x is equal to O e+e* e-e O e-e e+e* a. e +e e-e* e-e e+e

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Q: Given vectors: A(7,4,2), B(2,4,6) and C(6,1,2) forms a triangle. Find the unit vector in the plane ...

A: Cross product of two vector gives a vector perpendicular to both of them i.e. perpendicular to the p...

Q: Consider the function f : [–1,2] → R defined by f(æ) = x² – 1. On the interval [-1,0] the maximum va...

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Q: (2) Let - {b ] E [2 3] A- Is A linearly independent? Justify your answer.

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Q: Question 2. Let G be a finite group, H < G, N 4G, and gcd(|H|,|G/N|) = 1. Prove that H < N.

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Q: 1Fin a normed space X, the a bsolute convergence of everyseries al ways implies convergence of the s...

A: Let X  be  a normed space . We have given that absolute convergence of every series in X always impl...

Q: 2. X + 5y + 15 z + 35 w + 70t = 0 x + y + z + w + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20...

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Q: 18 sin=+icos- 3.

A: Given complex number is sinπ6 + icosπ618

Q: 4. Solve the equation z3 + 8i = 0

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Q: al) Consider the following differential equation, with time domain t e (0, 1): Sy' = (t2 – 1)y, Tu(0...

A: We are given the following differential equation with time domain t∈(0, 1) is the following.        ...

Q: cut from a 12-foot board? i divided 12/3.52%3 3 so there are 3 shelves that are complete. 2.Travel W...

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Q: 7. Determine the set which is equal to this infinite union: Justify your solution.

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Q: [9] Let A = {a, b, c, d} and B = {1, 2, 3}. Define a function F: A → B as follows: F3(а, 3), (b, 3),...

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Q: PLS HELP ME SOLVE THIS: Given vectors: A(6,3,3), B(0,4,6) and C(7,3,0) forms a triangle. Find the ...

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Q: Let G1 and G2 be groups. It is a fact that (G1 x G2 )/( G1 x {e2}) is isomorphic to G2 a) Given how ...

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Q: • The contrapositive of (P → Q) is 1. ~P → NQ A Q → NP 2. ~0 - NP ANQ 3. P→ Q AN Q → P 4. P → QAQ - ...

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as...

Q: dy x fanx

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Q: (a) Factor the following: · [[b-1)/ (8b² – 8b)] • [6b² + 8b] · [x² + 2x) / (3x + 6)] • [(3x + 3) / (...

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Q: Reduce to the form a + bi: a. sin (2 – i); b. cosh (1 + i).

A: Solution:-

Q: What is L s² –7 s² -3 21

A: The given function is L-1ss2-7+6s2-36 make the partial fraction of ss2-7 ss2-7=As+7+Bs-7=As-7+Bs+7s2...

Q: C01. Verify that for all n>1, the Sum the first 2n positive of the squares of hitegeis is giveń baf ...

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you...

Q: Q5: Find the eigenvector and eigenvalue for A = [4 1 21 [2 0 1 B = 0 1 0 Lo 2 11

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Q: Evaluate, write up to 4 decimal places only on the solution but use the whole value for substitution

A: By our guidelines only first question is solved.

Q: O Find a root of the equation tan x = 4x correct to 3 decimal places, xo = 1.5 %3D

A: Newton Raphson Method:- for a function f(x) the root is xi+1 =xi - fxif'xi; i=0, 1, 2, ....   Given ...

Q: The Detective branch from the Dhaka Metropolitan Police has come to ask for assistance on determinin...

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Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval [...

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Q: 2. x + 5y + 15 z + 35 w + 70t = 0 X + y + z + W + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20...

A: We have to find the solution of the linear system.

Q: e. f(x) = 2* OA. O(x²) B. Q(x²) C. O(x²) В. f. f(x) = [x][x] (floor of x times ceiling of x) OA. O(x...

A: Option (B) is the correct answer.

Q: NOT TO SCALE 42 0(142 A, D, B and C lie on a circle, centre O. AP is a tangent to the circle at 4 an...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: Evaluate 3s – 5 - L-1 [(s – 5)(s + 2)²] |

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Q: Question 1. Let G is a finite group and ø : G → G' be a surjective homomorphism (that is, o is a hom...

A: Given: A finite group G and ϕ:G→G' is a subjective homomorphism. To show: If G' has an element of or...

Q: Make a handwritten resume regarding the Chinese Remainder Theorem by including examples (minimum 2)

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Q: f(x) = cos(T.x)+ sin(27x).

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Q: Let N have a Poisson distribution with mean A. Let A have a gamma distribution with mean 1 and varia...

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Q: 3. Use the binomial theorem to find the coefficient of x³ in (x+2)13. 6. Use Definition 3.2 (page 85...

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Q: System of Linear Equation No. 1 Given: More equations than variables X - y + 2z = 4 + 3z = 6 2x - 3y...

A: Since  you have posted a multiple questions according to guildlines I will solve first question for ...

Q: Suppose that f(r, y) = /4 - a? – y? at which {(x, y) | 2² + y² < 4}. Then the double integral of f(x...

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Q: Use extrapolation to derive an O(h) formula for f'(xo). Suppose that N (h) is an approximation to M ...

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Q: Q Use Lagrange multipliers to tind the maximum an Ċ minimnm valnes and Points (x ) at which they occ...

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Q: dx + 2- + x = u(t) x(0) = x'(0) = 1 dt %3D %3D dt

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Q: The table on the right gives the annual income for eight families, in thousands of dollars. Find the...

A: Given that following data Family Income x A 49 B 51 C 46 D 48 E 47 F 48 G 45 H 50...

Q: 5 Age in years of players in a junior basketball league 14 9. 10 11 12 12 11 10 12 13 13 Q = Q, =

A: 5.) 6.)  

Q: (b) Determine whether the vectors, , and are linearly independent or linearly dependent.

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Q: Ysabella and Sophia wants to throw a surprise birthday party for their friend, Raissa. Eight of thei...

A: Let the number of cupcakes set = x the number of samgyupsal set = y The cost of one cup cake set = P...

Q: "(x) = Af(xi-1) + Bf(x,) + Cf(x\»1) + Df(x\»z) + Ef(x{+x) , 04n In other words, the second derivativ...

A: Here, we need to find the values of A, B, C, D, and E in the below expressions.         f''xi=Afxi-1...

Q: Evaluate the definite integral using the first four Newton-Cotes quadrature formulas. а. x2 cos xdx ...

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Q: Q5: Use the method of variation of parameters to find the general solution of the et differential eq...

A: It is given that y''-2y'+y=et1+t2+3et. We have to find the general solution of the given differentia...

Q: Evaluate, e(245°) 4.11e O 4.11ev O 1.14e2.41i O 4.11e0.946i

A: We have to choose correct options.