ove the statements: e difference of the squares of any two consecutive integers is

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Q: Q5: Define nilpotent element. Are 1 and 3 nilpotent elements of Z9?

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Q: Solve by the method of successive approximat ion

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Q: Show that the function f defined by 1, f(r, y) = { r2 + y (x, y) = (1, –1) (x, y) # (1, –1) is not…

A: We have to show that  f(x, y)  is not continuous at  (1, -1)

Q: 1. Write your birthday (mm-dd-yy). . . Use this in the given for the problems. 2. Mrs. Rivera wants…

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Q: Qs: Define the Boolean ring and prove that every Boolean ring is commutative. Is the converse true?…

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Q: Find the measure of all the numbered angles if mz1 120°. 5/6 7/8 AGE 1. mz1 = degrees 2. mz2 =…

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Q: Let C be an nxn matrix that satisfies C2 -3C–2In 0. Show that C is invertible and C=1 = }(31-A)

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Q: In reference to the function: g(x)=x2 + 2x − 6 (−1 ≤ x ≤ 3) Sketch the graph of g, using equal…

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Q: Define f, 9:R + R as if x 3 and g(x) = 8x – 1. Flnd f•g and gof.

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Q: What number d forces a row exchange? Using that value of d, solve the matrix equation. JE 1 2 1 3 d…

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Q: t taken for an investment to increase by 20% when the interest rate is 6% is given by t= ln1.2/0.06.…

A: The time t taken for an investment to increase by 20% when the interest rate is 6% is given by…

Q: What is the most precise classification for the quadrilateral shown in the graph below? 14 13 12 11…

A: This quadrilateral have vertex  A(13,-5), B(14,10), C(-1,9), D(-3,-7)

Q: Q6: Let R=(Z,+, .). Find a) Characteristic of R b) Prime ideals of R c) Nilpotent elements of R d)…

A: a) Characteristic of ring: a positive integer n is said to be characteristic of ring R if for any…

Q: Given that ||ū + 3w]| ( Hint: Use ||ā||² = ā · ā) 12 and ||ū – 3u|| = 2, find ū · i.

A: Given  that ,…

Q: SOLVE THE FF AND MAKE SURE THAT YOUR FINAL ANSWERS ARE IN 4 DECIMAL PLACES. MAKE SURE YOUR SOLUTION…

A: Given: w=-28ay+28azr=14, θ=38°, ϕ=128° To find: Given vector in a spherical coordinate system

Q: 3. (i) Let u be a nonzero column vector in R". Consider the n x n matrix A = uu" – u"uln. Is u an…

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Q: . Let R be the ring of all complex numbers and R' the ring of all 2 x2 matrices of the form a b b a…

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Q: 013: Define and give an example for (integral domain ring, zero divisor).

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Q: Solve by HEURISTIC METHOD. Maximize Z MAXIMIZAR Z=X1+ 5X2 +7X3+ 3X4 Sa. 7X1 + 3X2 + 2X3 +4X4 <21 8X1…

A: We have linear programming problem with us. Maximize Z=X1+5X2+7X3+3X4subject to, 7X1+3X2+2X3+4X4≤21…

Q: b) Let G be a group of order 2p, where p is prime number. Prove that every proper subgroup of G is…

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Q: a one to one function fr om X into Y and {A

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Q: a) Where are the horizontal and vertical asymptotes? (A – 1 marks) b) Describe what happens to the…

A: This is the application of calculus.

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Q: dx Find the general solution of the differential equation xt- = x +7f, where dt t>0. The general…

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Q: Question 2/ 10 Three objects A, B and C attached to each other and have equal masses m-1 kg. If the…

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Q: U (ot) =U ( 5,t)-0 Hiwg Solve U tt = 16 Uxx K= 4 U t CX,o) = 0 u CX, o) = X (5-X

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Q: Exercises Solution of Equations having Constant Right Member Solve the following equations 5. (D2 –…

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Q: Consider the following discrete time process:| at integer times, a marble arrives which can be one…

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Q: Hiws slove du 4 dt %3D dx2 u(6,t) = L (8,t)=0 U(x, a) =0 : =4X-()x²

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Q: Q29: Define the Boolean ring. Is (Z,+,.) Boolean?

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Q: (c) Use fzero to find when the derivative of 5. S(x) = 9. cos(x) sin(x) is 0 in the interval (0,…

A: NOTE: As per the guidelines we are supposed to answer only one question because all parts or…

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Q: Q19: a. Find the elements of Zg that have multiplicative inverses. True or False: Every subset of a…

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Q: 1. Show using similar triangles that tan 0 and cot 0 are the respective measures of line segments AR…

A: Using figure ,∠QOA + ∠QOB = 90°⇒θ+∠QOB = 90°⇒∠QOB = 90°-θIn ∆QBO ,∠QBO = 90° and ∠QOB=90°-θ ⇒∠OQB =…

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Q: Determine whether each of these functions are invertible. If it is, find its inverse. ax-5 a. f:R+ R…

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Q: The Maclaurin series expansions of sinx and cosx are as follows: cos x = 1 2! + 6! 4! x7 + 7! sin x…

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Q: QUESTION 5 In a word-building game each player picks 7 letter tiles. If Jhen's letters are all…

A: Since you have posted a multiple question according to guildlines I will solve first question(Q5)…

Q: 10 15 20 25 for the toolbar, press ALT+F10 (PC) or ALT-FN+F10 (Mac.

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Q: Q;: A. Let G be a group. Show that G is abelain iff the mapping f:G→G defined by f(x)=x', VxeG is an…

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Q: Define the cancelation law. Is it satisfy in any ring?

A: Cancellation Law: We say the cancellation laws hold in a ring R if        ba=caa≠0⇒b=c (right…

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Q: Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 Prove that…

A: Here the given function is f(x)=8(x-7)(x-1). We have to write down the definition that limx→af(x)=L…