EXERCISE 57 Prove that f(x) = x cannot be written as a finite sum Σ b, sin(nx) A

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Q: The 3 x 3 system below has solution ₁ = 1, ₂=-2 and 23 = 0. 4r₁ +2r₂-2r3 = 0 2r₁-622-2r3 = 14 3x1-22…

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Q: (7.1) Let (G,∗) be a group. Prove that the right cancellation law holds in G. Provide reasons in…

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Q: a) Prove that every integer can be written a sum of powers of 2. b) Write 14, 17, 27 as a sum of…

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Q: QUESTION 6 Evaluate p2π cos 30 -do. 5+4 cos 0

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Q: Problem #5: Find the work done by the force F = -7yi 8xj along one loop of the curve r = sin 90 (in…

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Q: Prove that A°= A - Ab.

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Q: x/y + 1 - √ x/y x/y + 1 + √ x/y - - 1 1

A: dxdy=xy+1-xy-1xy+1+xy-1      =xy+1-xy-1xy+1-xy-1xy+1+xy-1xy+1-xy-1      =xy+1-2xy2-1+xy-1xy+1-xy+1…

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

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Q: Set up (do not evaluate) the iterated triple integral in spherical coordinates that gives the mass…

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Q: Let A = P = [-17 2 2 2 -14 4 2 4 -14 D = Find an orthogonal matrix P with rational entries and a…

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Q: Use finite difference to determine the equation for the polynomial corresponding to the table of…

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Q: Analyze the pattern shown. " * #*. A. Identify two expressions that represent this pattern. B.…

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Q: - Tell whether the following sets are open: (Justify your answe (a) (3,5) U {6} (b) (-∞, 0) U (0, 1)…

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Q: Where is the function f(z,y) cas y sin z cos y 2/0 x=0 continuous? Prove your answer.

A: It is given that,   f(x, y) = cosy sinxx,x≠0cosy,x=0 We have to show that,  fx, y is continuous.

Q: 1) To decide on a new website design, the designer asks people to rank three designs that have been…

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Q: Can you write more clearly what you did in step 2? It is not clear to me.

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Q: The series converge of diurge? ? CNR não 5-Cosni

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Q: The answer is not shown for the 2

A: Left end sum=sum of areas of the rectangles      =7X10+9.8X10+13.2X10+18.1X10+20.5X10      =68.6X10…

Q: f(x)=xlnx−1

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Q: S(1) = 5; S(2) = 11; S(n) = 5S(n − 1) - 65(n − 2) for n ≥ 3. S(1) = 3; S(2) = 14; S(n) = 4S (n − 1)…

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Q: 20. In a certain nation, every citizen is assigned an identification number consisting of the last…

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Q: (d) Let G be a group, N a normal subgroup of G and K a subgroup of G which contains N. Then prove…

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Q: Consider the function f(2)= 1 2³(2-3)* (5.1) Use a known Maclaurin series to find the Laurent series…

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Q: (b) Let I, J be ideals (two-sided) of a ring R and check as to whether In J is an ideal (two-sided)…

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Q: n=1 TL (4- π)¹² 2

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Q: In Cay({(1, 0), (0, 1)}:Z4 ⊕ Z5), find a sequence of generators thatvisits exactly one vertex twice…

A: Given,         Cay(1, 0), (0, 1) : Z4⊕Z5.

Q: Let ux,t=XxYy Given…

A: Note: As per your requirement I answered here on papar.   The required answer is in below step.

Q: 2. Use Laplace transform to solve the initial value problem y" + 2y' + 5y = 0, y(0) = 0, y′(0) = 1.

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Q: solve the following to find one real non zero root: non-linear algebraic equation. f(x) = sin…

A: The given function is, f(x)=sinsecx+x3 e5xtanx-e-x. To Find: One non-zero real root of the above…

Q: What is a11  for the geometric sequence with a1 = 4 and r = 4? Suppose g1 = 4 and g2 = 1. The rest…

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Q: Prove that if a sequence (fn)n converges to f in measure, then the sequence n)n converges to f in…

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Q: The limit of the function f as x approaches a is the number L, written as limx→af(x) = L, if for…

A: We have to show that limx→1+ 41-x=-∞ i.e., the function fx=41-x approaches infinity when the…

Q: Find the value of the following integrals (a) (b) j xsin 2x dx x² +3 (x+1) cosx dx x²+4x+5

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Q: Evaluate p(x) = 2x4+x²-3x²-x-5 at x = 2 33.a O 183.b O 21.CO 145.d O

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Q: Zachary deposited $1,200 at the end of every month into an RRSP for 6 years. The interest rate…

A: Given: Deposited $1200 at the end of every month for 6 years. Interest rate 3.50% compounded…

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Q: 1. Describe the graph of the inequality y - x² ≥ 1 in R² and in R³. Sketch a graph in each case. 2.…

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Q: 5 [] Let S be the parallelogram determined by the vectors b₁ = The area of the image of S under the…

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