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Let K be a knowledge base containing the rules K: • A (2) A A2(2)→ B(x)...
(a) Let G be a group of order 4 with identity e. Show that G is either cyclic or a2-e for all (b)...
(Abstract Algebra) Please answer a-d clearly. Show your work and
explain your answer.
(a) Let G be a group of order 4 with identity e. Show that G is either cyclic or a2-e for all (b) Does the result of part (a) generalize to groups of order p2 for any positive integer p? In other words, is it the case that if G is a group of order p2 with identity e, then is either cyclic or a- e for...
2. Let 6 marks (a) Find f(x),f"(x), and f"(x). (b) Find the second order Taylor expansion of f at 1, namely f(r) = ao + ala-1 ) + a2(z-1)2 + R2(x), where Ra is the remainder. You s...
2. Let 6 marks (a) Find f(x),f"(x), and f"(x). (b) Find the second order Taylor expansion of f at 1, namely f(r) = ao + ala-1 ) + a2(z-1)2 + R2(x), where Ra is the remainder. You should find ao, a, a2, and R(p). 8 marks that the error in this estimation (i.e., R2(0.9)1) is at most 10-3. 6 marks (c) Use the Taylor expansion found above to estimate the value of f(0.9). Show Find f(x), f"(), and f" (b)...
please help me answer #2 a, b, c and d measured value of the heat capacity...
please help me answer #2 a, b, c and d
measured value of the heat capacity be too high or too low? Explain. 2- A particular metallic element, M, has a heat capacity of 0.361.gº''K 1. It forms an oxide that contains 2.90 g of M per gram of oxygen. a) Using the law of Dulong and Petit (Cp x M = 25 J. mol-1.K-1), estimate the molar mass of the metal M. g/mol b) From the composition of the...
2) Let X = {ai, a2. аз-G4.a5} be a set equipped with two binary relations *1 and #2 with the following tables 2a12345 (a) Are *1 and *2 binary operations? (b Are both of these relations associative?...
2) Let X = {ai, a2. аз-G4.a5} be a set equipped with two binary relations *1 and #2 with the following tables 2a12345 (a) Are *1 and *2 binary operations? (b Are both of these relations associative? (c) Is there is any identity element? (d) If yes, write the identity element (s)?
2) Let X = {ai, a2. аз-G4.a5} be a set equipped with two binary relations *1 and #2 with the following tables 2a12345 (a) Are *1 and *2...
2. Let f(x 11 k 1 k-0 (a) Give the interval of convergence (b) Find a...
2. Let f(x 11 k 1 k-0 (a) Give the interval of convergence (b) Find a closed form for f(x) on the interval of convergence. Theorem 35: The series Eanbn converges if (a) The partial sums An of Ean are bounded, (b) bob1b2 (c) lim,00 bn = 0 0, 7
Solow-Romer Model 2. Let the production function for output be 11/2 YA,K/2L2 Compared to the model...
Solow-Romer Model 2. Let the production function for output be 11/2 YA,K/2L2 Compared to the model described in the Chapter 6 Appendix, the exponent on capital has been increased from 1/3 to 1/2 above and decreased on labor from 2/3 to 1/2 to preserve constant returns to scale in objects. All of the other assumptions from lecture and/or from the Chapter 6 Appendix are the same What is the growth rate of output per worker along a balanced growth path?...
Please answer A, B, and C in full 2. Let f() € F[2] be a separable...
Please answer A, B, and C in full
2. Let f() € F[2] be a separable polynomial with roots {u1, ..., Un} contained in some splitting field K of f(x) over F. Define A= || (ui-u) = (ui - U2) (u - u3) ...(ui-un)(uz - u3) ..(un-1 - Un) EK. (a) (15 points) Consider GalpK < Sn by looking at its action on the set of roots for f(x). Show that if Te Galo K is a transposition then (A)...
D Question 1 Question 1 Let A (5,-2, 6), B (5.-9,3), C (3.-4. 1) be three...
D Question 1 Question 1 Let A (5,-2, 6), B (5.-9,3), C (3.-4. 1) be three points. i) Calculate the vectors a = BC and b = CA ii) Calculate (axb) and (axb): a Formulae: x → cross product . + dot product j K axb= a1 a2 a3 b, b₂b3 a.b=019223 + b b2b3 Algebraic form
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) -...
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
Let a, b, and c denote complex constants. Then use definition (2), Sec. 15, of limits...
Let a, b, and c denote complex constants. Then use definition (2), Sec. 15, of limits to show that: (a) lim z -> z_0 (az+b) = az_0 + b; (limit as z approaches z not) (b) lim z -> z_0 (z^2 + c) = (z_0)^2 + c; (limit as z approaches z not) (c) lim z -> (1-i) [x+i(2x+y)] = 1+i; (limit as z approaches 1 minus i) Definition 2 from sections 15 basically states Epsilon delta informations. These are...
(Abstract Algebra) Please answer a-d clearly. Show your work and
explain your answer.
(a) Let G be a group of order 4 with identity e. Show that G is either cyclic or a2-e for all (b) Does the result of part (a) generalize to groups of order p2 for any positive integer p? In other words, is it the case that if G is a group of order p2 with identity e, then is either cyclic or a- e for...
2. Let 6 marks (a) Find f(x),f"(x), and f"(x). (b) Find the second order Taylor expansion of f at 1, namely f(r) = ao + ala-1 ) + a2(z-1)2 + R2(x), where Ra is the remainder. You should find ao, a, a2, and R(p). 8 marks that the error in this estimation (i.e., R2(0.9)1) is at most 10-3. 6 marks (c) Use the Taylor expansion found above to estimate the value of f(0.9). Show Find f(x), f"(), and f" (b)...
please help me answer #2 a, b, c and d
measured value of the heat capacity be too high or too low? Explain. 2- A particular metallic element, M, has a heat capacity of 0.361.gº''K 1. It forms an oxide that contains 2.90 g of M per gram of oxygen. a) Using the law of Dulong and Petit (Cp x M = 25 J. mol-1.K-1), estimate the molar mass of the metal M. g/mol b) From the composition of the...
2) Let X = {ai, a2. аз-G4.a5} be a set equipped with two binary relations *1 and #2 with the following tables 2a12345 (a) Are *1 and *2 binary operations? (b Are both of these relations associative? (c) Is there is any identity element? (d) If yes, write the identity element (s)?
2) Let X = {ai, a2. аз-G4.a5} be a set equipped with two binary relations *1 and #2 with the following tables 2a12345 (a) Are *1 and *2...
2. Let f(x 11 k 1 k-0 (a) Give the interval of convergence (b) Find a closed form for f(x) on the interval of convergence. Theorem 35: The series Eanbn converges if (a) The partial sums An of Ean are bounded, (b) bob1b2 (c) lim,00 bn = 0 0, 7
Solow-Romer Model 2. Let the production function for output be 11/2 YA,K/2L2 Compared to the model described in the Chapter 6 Appendix, the exponent on capital has been increased from 1/3 to 1/2 above and decreased on labor from 2/3 to 1/2 to preserve constant returns to scale in objects. All of the other assumptions from lecture and/or from the Chapter 6 Appendix are the same What is the growth rate of output per worker along a balanced growth path?...
Please answer A, B, and C in full
2. Let f() € F[2] be a separable polynomial with roots {u1, ..., Un} contained in some splitting field K of f(x) over F. Define A= || (ui-u) = (ui - U2) (u - u3) ...(ui-un)(uz - u3) ..(un-1 - Un) EK. (a) (15 points) Consider GalpK < Sn by looking at its action on the set of roots for f(x). Show that if Te Galo K is a transposition then (A)...
D Question 1 Question 1 Let A (5,-2, 6), B (5.-9,3), C (3.-4. 1) be three points. i) Calculate the vectors a = BC and b = CA ii) Calculate (axb) and (axb): a Formulae: x → cross product . + dot product j K axb= a1 a2 a3 b, b₂b3 a.b=019223 + b b2b3 Algebraic form
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
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