Prove the statement by induction .+ (4n – 2) = 2n² 2. 1+ 4 + 7 + . + (3n-2) = n ( 3n - 1) 1. 2 + 6 + 10 + 2.

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Q: 18. Two of these lines are parallel. (54) b. If it is uncertain whether or not the lines are paralle...

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Q: Compute the determinant using a cofactor expansion across the first row. AISO compute the determinan...

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Q: A group that also satisfies the commutative property is called a(n). (or abelian) group. A group tha...

A: A group that also satisfies the commutative property is called a(n) commutative group (or abelian) g...

Q: ) = 3x + sin x - e^x solve using bisection method of non linear equations of one variable

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Q: Find the product of (-2+3i) and (-5- i) O 13 – 17i 07- 17i O 13 – 13i O7-13i

A: The given complex numbers are                                             (-2+3i) and (-5-i). To fin...

Q: Lemma 4.2 Let X be a vector space over K and let (·|·) : X × X → K be a scalar product. The followin...

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Q: Multiplying Matrices Multiply the matrices A and B. [3 2] A = 2 5 [3 4 5 B = [3 2 1 Show your work i...

A: Given matrices are A=322514,  B=345321  

Q: 2. Find the parametric equations of the line passing through the point (-1,4, -3) and is parallel to...

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Q: Solve the following  complex numbers in their rectangular form. Use 4 decimal places  for the comput...

A: It is known that: sinx+iy=sin xcosh y+icos xsinh y, where cosh y, sinh y are hyperbolic trigonometri...

Q: |x² +y o'u is

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Q: 1. Find the sup and inf of the following sets. {1/n :n e N} • {2 – 1/n :n € N}. • {e";r € Q}.

A: Supremum: Greatest member of a set, if it exist, is the supremum of the set. Infimum: Smallest membe...

Q: З^1 — 2л2 + 5аз — —17 2x1 + 4x2 – 3x3 = 29 5х1 — 6х2 — 7*3 — 7

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Q: 8. Evaluate in polar form: 42+3L % 6.

A: Please find attachment for the details solution

Q: s-5 Find the inverse Laplace transform, F (s) s2+s-6 O e* - * -3t 3t 3 24 O-e* + -2t

A: the solution is given as 

Q: Lemma 2.56 Let (X,T) be a topological space, (M, d) be a complete metric space and BC(X,M) := {f € C...

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Q: Lemma 4.3 Assume • T(0) = Idx; • T(t+ s) = T(t)T(s) (t, s > 0); • V x € X : x+T(t)x is continuous in...

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Q: A path C is defined by the parametric equations (t) = t, y(t) = t°, 0<t<1, and a vector field is def...

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Q: d?F – AF = 0, dx? slove avec F(0) = 0, F(1) = 0 et aeR.

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Q: For each of the functions below, indicate whether the function is onto, one-to-one, neither or both....

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Q: Q4. Let A = the 2 x 2 identity matrix. (a) Show that the characteristic equation of A is 1² – 21 +1 ...

A: Since you have asked multiple sub-parts, we can solve first three sub-parts for you. If you want oth...

Q: 1 2 4 Let A be a 3x3 matrix A = | 0 0 0 0 -1 %3D 3 then the determinant of the matrix A17 + A10 – I ...

A: Given matrix is A = 12400300-1 We have to find determinant of A17 + A10 - I

Q: Problem 5.1. Prove 1+ ... +n = }n(n+ 1), that is, Ei = }n(n+1), for all natural i=1 numbers n by PMI...

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Q: Find the square roots of the given complex number by using result (10) and then confirm the result b...

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Q: paper 2 4. INDICES AND S 2007 N Q3 (i) Express 9x+1 as a power of 3. (ii) Express V272 as a power of...

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Q: The inverse Laplace of 28 (s+3)²+4? exp(-rt) Note: sin (wt + angle ()) to O 7exp(-3t)sin(4t) O 7exp(...

A: Introduction: We know that from the Laplace table, inverse Laplace of function F(s)=b(s-a)2+b2 is gi...

Q: Using the definition of Riemann Integrability, show that f (x) = 4x – 1 is in R[-1,2].

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Q: If v = 2+i and w = 3- i, evaluate 2iw – iv O 3- 4i O 4- 2i O 3+ 4i O 4+ 2i

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Q: 31}. Then the are

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Q: 1. draw a simple graph with 2 vertices  2. draw a simple disconnected graph with 3 vertices 3. dra...

A: To find-  Draw a simple graph with 2 vertices. Draw a simple disconnected graph with 3 vertices. Dr...

Q: Solve the IVP 3 d.x dx a(0) = 1, = 2. dt \t=0 dt2 dt

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: Find the second derivate of xy + x – 2y – 1 = 0

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Q: Suppose that Vf(x, y, z) = 2xyze*²i+ ze**j+ ye**k. If f(0,0, 0) = 5, find f(1, 1, 8). Hint: As a fir...

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Q: Numerical analysis and numerical methods are also applicable in field of finance and marketing. Reve...

A: The function given is as follows: Dm=1000+2m+3m23 (a) We are asked to find the root when the total c...

Q: Find all positive integers n such that p(n)|n.

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Q: -2 + (2?)² – [2 – (2 × 2)]

A: As given by the question There are given that the expression: -2+222-2-2×2 Now, According to the BOD...

Q: Construct a truth table for each statement. Identify any tautologies. 5. ~q→p 56. р —~g 7. (~p q)→p ...

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three sub-pa...

Q: Is the set of numbers described below a group under the given operation? Prime numbers; multiplicati...

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Q: ak + b) {{} = m – 1). k=0

A: Please cheek the details in the next step

Q: Topgrade Turf lawn seed mixture contains three types of seed: bluegrass, rye, and Bermuda. The costs...

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Q: Task 18 Let (X, || - ||) be a Banach space, J CR be bounded and F C C'(J,X). If sup ||f(x)|| < o, ƒ€...

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Q: A particular solution of 4x dy dx? dy +8.x- +y = dx 4 is 1 A) B) log x Vi log x C) 2 (log x) D)

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Q: dy y(log

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Q: if a turtle moves at 1 1/3 mph how long will it take him to travel 9 miles

A: turtle moves at 113 mph to find how long will it take him to travel 9 miles

Q: What is the condition for convergence of Gauss Seidel iteration? diagonally dominant coefficient ma...

A: The condition for convergence of  Gauss-Seidel iterative methods is that the co-efficient matrix sho...

Q: Find 2(A)+3B-2C :). 1 4 -2 1 A = B = 2 -4 -2 1 C = %3D %3D %3D 1 -1 1 2 1

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Q: pose you offer to take your friend out to dinner at a local restaurant and the bill comes to $52.37 ...

A: Given, Suppose you offer to take your friend out to dinner at a local restaurant and the bill comes ...

Q: Solve the following complex numbers in their rectangular form. Use 4 decimal places for the comput...

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Q: Is the set of integers a commutative group under the operation of addition? Yes; it satisfies the fi...

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