For every natural number n,1+3+5+7+···+ (2n-1)= n^2

Q: TRUE

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Q: Describe the set of points in space whose coordinates satisfy the given inequalities or combi- natio...

A: (a) x2+y2≤1, z=3. We know that x2+y2≤1 is a unit disk and z=3 is a plane parallel to XY plane. Thus,...

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Q: You are given that T:U→X is a linear transformation. Prove that, T(c;u, + C2U2 + · = c, T(u1) + c2T(...

A: We will use basic definitions of linear transformation to get the required result.

Q: Prove: “The complement of the graph G is an Eulerian graph whenever G is also  an Eulerian graph of ...

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Q: Consider the vector field F(r, y) = ryi+aj (= Fi+Fj), let C be the triangle in the r-y plane with ve...

A: The given vector field is  F(x,y)=xyi+x2j Also given C a triangle in x-y plane with vertices (0,0),(...

Q: 2w +x + 2y = 6 +z -9x + 9z = 18 - 5z = -13 - 3y = 4

A: Gaussian elimination, also known as row reduction, is an algorithm for solving systems of linear equ...

Q: Verify if true or false that if A and B are (2x2) matrices then de...

A: False. Counter example:  

Q: Exercise 6. Let Zž = Z7 {0}. Find a bijective function f: Z → Ze such that f(a- b) = f(a) + f(b) for...

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Q: c) Change 560 km/h into m/s. Give your answer correct to 2 d.p. d) Calculate the sum of money that L...

A: Solution :-

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Q: Definition 4.24: Let G be a group, and let Ω be the set of subgroups of G. Let G act on Ω by conjuga...

A: We prove our claim by using definition of NG(H).

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Q: Suppose T E L(V) and U is a subspace of V. (a) Prove that if U null T, then U is invariant under T. ...

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Q: Task 8 (Translation semigroup) Let BUC (R) = {f e C(R); f is bounded and uniformly continuous} BUC' ...

A: Given that translation semigroup  BUC(R) = {fe C(R): f is bounded and uniformly continuous} BUC¹(R) ...

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Q: 8+71 4. Write the expression as a complex number in standard form. 3-44

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

Q: For the following polynomial function, factor and find the coordinates of the x and y intercepts. p(...

A: To find- For the following function, factor and find the coordinates of the x and y intercepts. px =...

Q: Consider the function f(x) = Complete the table below and sketch its graph. |-2 -1 -0.5 F(x) x 2 1 0...

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Q: Task 8 Let (X, || · ||x), (Y, || - ||Y) be Banach spaces. Show that (L(X,Y), | | |(x.x) is a Banach ...

A: Solution :-

Q: 1 2. (a) Solve the inequality х — 2 algebraically and graph the solution set. Зх —9

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Q: Use a truth table to determine whether the argument is valid or invalid. (p → q) ^ (~p → q) Pa((p → ...

A: To determine the validity of the argument using the truth table.   p→q∧~p→q q¯∴ p

Q: 4. Find the area of the surface generated by revolving the given curve about the -axis. y = 7x,0 < x...

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Q: L {sinh(at) – sin(at)} (s4+a) 2(s a) 2(s4+at) (st

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Q: 2) Suppose S,T E L(V) are such that ST = TS. Prove that null S is invariant under T.

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Q: A ALEKS - MATH 100 SP22 009-10 013 016 O LINEAR EQUATIONS AND INEQUALITIES A ALEKS - Finding a side ...

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Q: 7 3 4 .2

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Q: QUESTION S Find lim f(x.y). Let f(x,y) = y- (0,0) Ob1 Oc-1 Od1/2 Oe Does not exist. Save A Click Sav...

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

Q: 12 In the diagram below, the line PQ is parallel to the line RBCS. 28 Diagram not drawn to scale 50 ...

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Q: pu want to purchase an automobile for $33,002. The dealer offers you 0% financing for 72 months or a...

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Q: The two triangles in the figure below are similar. 6m 8 m 10.5 m 12 m Diagram not drawn to scale Use...

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Q: [(5+j3)( 10430°)] 6e^(j12)

A: Given: 5+j310∠30°6ej12 To do: Simplify the given complex number to the standard form.

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A: Compound interest is the type of interest where the principal amount changes. When the interest rate...

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Q: L{3e' sin(5t)} 15 +25 52+25 (8-1) +25 15 $2 28+26

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Q: f(x) = cos(x), a = 0, x = 0.1 %3D (Round your answer to six decimal places.) T3(0.1) = 0.995004 |S(0...

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Q: Z= 2+4 , 2,= -2·0806 +4.5445% and Z3= 3.0642 + 2.5712 3 N = Inb find log (z,") = ? Z2

A: In the given solution , the value put are without complete information , and the method used ( findi...

Q: Abe can paint the room in 15 hours, Bea can paint 50% faster than Abe, and Coe can paint twice as fa...

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Q: 3. Using Fleury's algorithm, obtain an Eulerian circuit in the graph below. 2 8. 3 4 6. 5

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Q: (а) Зу — бу — 0, у(0) — -3 Solved (b) y" – 7y' + 6y = 0

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: dy 4. Solve the homogeneous differential equation + 6xe x. dx ||

A: Solution :-

Q: Approximate the root of 2r - 11.7r + 17.7x -5 = 0 using three iterations of Newton-Raphson Method. U...

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Q: 2: Solve the following initial value problem by using Laplace transform 4y" + n²y = 0,y (0) = 2, y' ...

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Q: Pemboleh ubah x dan y dihubungkan oleh persamaay = 1000 . Rajah 3menunjukkan sebahagian garis lurus ...

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Q: Walmart sells thermometers ($2) and hot-water bottles ($12). In December, Walmart's total sales were...

A: Thermometers = 90 Hot water bottles =18 Please find attachment for the details solution 

Q: Form the differential equation by eliminating constants a and b from y = a(b – z)(b+1) + 52. %3D

A: In this question, the concept of the differential equation is applied. Differential Equation A diffe...

Q: Johu depo s. ted 100o at the ed of ecvery cn RR sP for 7 years. month uto The Interest rate earned v...

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Q: 2e L 8. e 4

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Q: 3.* Do the following series converge pointwise on the given domains? Do they converge uniformly? Jus...

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Q: a IRI MAIas. QUESTION 4 xy x2 + y O a.0 lim f(x.y) along the path xy. Let f(x.y) = Find xy) - (0,0) ...

A: Solution