(2x2 + 3)3 1. (5x3 + 5)3

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Q: (a) Draw the lattice of subgroups of Z/6Z. (b) Repeat the above for the group S3.

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A: Newtons Backward difference formula table x y ∇y ∇2y ∇3y -0.75 -0.0718           0.0471     ...

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A: Given, R=$1000, 7% interest compounded quarterly for 8 years

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Q: 2. Let r > 1. Prove that lim r" = 00,

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Q: 4 3 If A = 3 1 and A? – kA – 51= 0, then 2k = A) 32 B) -32 C) 20 D) 8

A: We will first calculate A^2 then put the respective values in equation .

Q: Please send me handwriting solution only. Solve 52x + 67y + 46z = 175 67x + 73y + 54z = 194 46x +...

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Q: Let B and B* be bases for topologies T and T*, respectively, on a set X. Suppose that each B EB is t...

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Q: -4; -7; -10; -13; 1.2.1. Write down the next two terms 1.2.2. Describe the pattern you notice 1.2.3....

A: the given sequence is  -4,-7,-10,-13,... 1. the next two terms will be -16,-19 2. Each term is obtai...

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Q: s1. Let A be a UFD and x, y E A two elements having no commor factor; write I by (a, b) (x, y) C A. ...

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Q: 3. For all n E N prove that 1 e 0 < e – Σ k! k=0 (n + 1)! Hint: Think about Taylor approximations of...

A: The given question is related with Taylor approximations. We have to show that  for all n ∈ ℕ , 0 &l...

Q: Using the ε − N definition of a limit, prove that lim(n→∞)=(6n^3 −2n+1)/(2n^3+1)=3.

A: In the given question we have to prove the following limit by using ε-N definition                  ...

Q: c) The fixed costs of a business for production of a particular item over a period are $1000 while t...

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Q: Formulate one given 3x3 equation (3 equations and 3 unknowns) and one given 4x4 equation (4 equation...

A:   we consider a system of thee equation and  and then solve by         (a) Cramer's Rule , (b) Gaus...

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A: Introduction: An addition sentence is a mathematical expression that shows the addition of two or mo...

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Q: 7. Find all points of intersection of the r= 3sine polar curves: such that r= 1+sine

A: We equate the two equation to find solutions.

Q: Corollary. Every infinite set contains a proper subset to which it is similar. Proof. Let A be an in...

A: Basically, you are asking to show that the function  f:A→A-{a1}  defined as      f(x)=an+1 if x=an (...

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A: This is the problem of real-valued function, inverse trigonometric equations.

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Q: f(0) = -2sin(2(0- 45))+1 Centerline: Max y: Amplitude: Min y: Period: Frequency: Phase Shift: Reflec...

A: The general form of a sinusoidal function is y=A sinBx+C+D. Here A is the amplitude, C is the phase ...

Q: Suppose that x = 0 is a regular singular point of the differential equation 4xy" + 2y' + y = 0 Then,...

A: Given: x=0 is a regular singular point of differential equation 4xy''+2y'+y=0. To find: Indicial roo...

Q: LAPLACE TAMNSFORM

A: The given function is F(s)=1s-3-16s2+9 rewrite as  F(s)=1s-3-16s2+32 use the formula  L-11s-a=eatL-1...

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Q: Xị – 5x2 – 4x3 3x2 + 4x3 • X1 - for all a E R³. X2 T(7) %3D %3| -2x1 + 6x2 X3

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Q: 5. -5 -5 5 -5- -5

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Q: 2) Let R be a commutative ring and a,b e R. Show by induction on n the binomial formula (a + b)" = E...

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Q: 10. Consider only the points on the graph of y = x which have integer coordinates with -10 0 via a ...

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Q: Identify the center and radius of the circle with the following equations then graph the circle. -9 ...

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Q: Compute 17^7121 (mod 11).

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Q: Solve the following equation using the bisection method 2 x – 11 = 0 take as initial interval [a = 0...

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Q: A+C=0 -4A+B – 8C + D=1 3A+16C – 8D = -2 194 1 3RI 16D -K RRL 16D –

A: Given  we have given the equations A+C = 0-4A+B-8C+D=13A+16C-8D =-29-12A+3B+16D=5 we have to find A,...

Q: PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the t...

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Q: Is the set of rational numbers open or closed?

A: Given: Set of rational numbers. To check: Whether the set of rational numbers open or closed.

Q: system of equations 2. The values of 2, f

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Q: 4. Prove that 13 1 13 1 < cos(1) 24 - 1440' 24 where 1 is in radians. 720

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Q: 8. The variables a, b, c, d, e, and fare each assigned a distinct value from the set {1, 2, 3, 4, 5,...

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Q: 3) Let R be a commutative ring. An elementre R is called nilpotent if rm = 0 for some m e N. Show th...

A: Commutative ring and ideal

Q: Solve 52x + 67y + 46z = 175 67x + 73y + 54z = 194 46x + 54y + 65z = 165

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Q: 6. The vertices of AABC are labeled with the positive integers a, b, and c (in that order). The midp...

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