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2. Evaluate these formulas to determine '(h) 1using e(0), (h), e(2h) for v(r) = exp(r) and...
. Consider the function v(r) r(r 1/2) (r-1) for r e (0, 1]. Determine the transformed...
. Consider the function v(r) r(r 1/2) (r-1) for r e (0, 1]. Determine the transformed function u(E) introduced in the previous question. Show that u(E)dE = 0. (Hint: you can do this without evaluating the function.) Determine the values of the midpoint rule,the simple trapezoidal rule (with two point s) and of the Gaussian rule with 2 quadrature points. What do you observe about the accuracy of these rules? 10pts
. Consider the function v(r) r(r 1/2) (r-1) for...
1. Use the method of undetermined coefficients to compute the coefficients of a finite difference approximation...
1. Use the method of undetermined coefficients to compute the coefficients of a finite difference approximation for u'(E) using the values u(0),u (1) and u(2). Choose the coefficients such that the formula is exact for polynomials with degree less or equal to 2. Can you use these ecoefficients to get an approximation for a first derivative based on function values v(r),v(x+h)and v(x +2h)? At which point z and for which functions v(a) is this approximation equal to '()? Determine the...
Problem 4 A definite integral I is given as .b I=| f(x) dr a=0 b=2 f(x) = e-r' ; ; ; Evaluate the...
Problem 4 A definite integral I is given as .b I=| f(x) dr a=0 b=2 f(x) = e-r' ; ; ; Evaluate the integral using the three-point Gaussian quadrature method Solution:
Problem 4 A definite integral I is given as .b I=| f(x) dr a=0 b=2 f(x) = e-r' ; ; ; Evaluate the integral using the three-point Gaussian quadrature method Solution:
can you please explain the answers 5. The number of pi bonds in the molecule below is HH H-C-C-0-0-0-0-H HH A) 2 B)...
can you please explain the answers
5. The number of pi bonds in the molecule below is HH H-C-C-0-0-0-0-H HH A) 2 B) 4 C) 6 D) 10 6. The geometry of the CS, molecule is best described as A) linear. B) trigonal planar. C) tetrahedral. D) bent. E) trigonal pyramidal. 7. Which choice gives the correct oxidation numbers for all three elements in Ca(CIO), in the order that the elements are shown in the formula? A) +2, +1, -2...
determine the compound structure based on the spectrums 2114 3296 R Spectrum 4000 2000 1 V...
determine the compound structure based on the
spectrums
2114 3296 R Spectrum 4000 2000 1 V (cm) 3000 1600 1200 100 Mass Spectrum Du)-26)12-9-しキ N° significant uv absorption abave 220 nm 40 M-83 CsHgN 40 80 120 160 200 240 280 m/e 13 C NMR Spectrum (100 0 MHz, CDCi, solution) proton decoupied δ(ppm) 0 40 80 120 160 200 H NMR Spectrum (400 MHE, CDci, soudon) with 2H 2H 1H 2H 2H 1.5 8 (ppm) 10 9 8 7...
h(t) V(t) 5sin(2t 75°) +8 V V2) 10cos(2t30°) V Kt 2sin(5t-20) A i(t) Vx(t) AV(t) MW- R 100 R L 2H C1 0.1F V2(t) C2= 0.0...
h(t) V(t) 5sin(2t 75°) +8 V V2) 10cos(2t30°) V Kt 2sin(5t-20) A i(t) Vx(t) AV(t) MW- R 100 R L 2H C1 0.1F V2(t) C2= 0.05F A 4 VAt) The circuit above is in steady state. Solve for i (t). (Hint: There are 3 different frequencies present in this network, so you must use superposition to find each source's contribution to i,(t) since the reactive elements will present different impedances based on which frequency you are considering. DO NOT add...
Section A Q1 0 Using the following Taylor series expansion: f(x+h) = f(x)+hf'(x)+22 h 3! f"(x)+...
Section A Q1 0 Using the following Taylor series expansion: f(x+h) = f(x)+hf'(x)+22 h 3! f"(x)+ (+0) (1.1) 4! show that the central finite difference formula for the first derivative can be written as: f'(x)= f(x+h)-f(x-1) + ch" +0(hº) (1.2) 2h Determine cp and of the derived equation. [4 marks] Consider the function: f(x) = sin +COS (1.3) 2 2 Let x =ih with n=0.25, give your answer in 3 decimals for (ii) to (vi): (ii) Evaluate f(x) for i...
-) to determine the exp Company mi Return (%) 25 Compensation o Company A Company B...
-) to determine the exp Company mi Return (%) 25 Compensation o Company A Company B Company C Company D Company E Company F Company G Company H Company 1 Company J Company K Company L Compensation Stock ($mil) 14.54 75.48 4.14 63.99 7.07 142.02 1.08 32.73 1.98 10.69 3.71 30.69 12.02 0.72 7.62 69.44 8.42 58.68 4.03 55.94 20.86 24.26 6.69 32.16 Sto 25 cion and stock return. Print Done -turn? Does stock per CEO? linear relation exists between...
2 (1) For z E C, define exp z - n-0 (a) Prove that the infinite series converges absolutely for z E C (b) Prove that when z є R, the definition of exp z given above is consistent with the one given i...
2 (1) For z E C, define exp z - n-0 (a) Prove that the infinite series converges absolutely for z E C (b) Prove that when z є R, the definition of exp z given above is consistent with the one given in problem (2a), assignment 16. Definition from Problem (2a): L(x(1/t)dt E(z) = L-1 (z)
2 (1) For z E C, define exp z - n-0 (a) Prove that the infinite series converges absolutely for z E C...
(5) Fixm 2 1, an integer, and suppose P~ Uniform([0, 1]) and N ~Binomial(m, P) (a) Determine E(Xk...
(5) Fixm 2 1, an integer, and suppose P~ Uniform([0, 1]) and N ~Binomial(m, P) (a) Determine E(Xk(NP) where χκ (n), k-0, 1, 2, . . . , are defined as follows: 1 if n-k 0 otherwise (b) Determine E(Xk(N)h(N)) for a general function h : R R (c) Determine E(PIN) Warning: E(PN) is not N/m as you might be tempted to guess. Hint: Use the law of total probability together with the following result which you showed (in greater...
. Consider the function v(r) r(r 1/2) (r-1) for r e (0, 1]. Determine the transformed function u(E) introduced in the previous question. Show that u(E)dE = 0. (Hint: you can do this without evaluating the function.) Determine the values of the midpoint rule,the simple trapezoidal rule (with two point s) and of the Gaussian rule with 2 quadrature points. What do you observe about the accuracy of these rules? 10pts
. Consider the function v(r) r(r 1/2) (r-1) for...
1. Use the method of undetermined coefficients to compute the coefficients of a finite difference approximation for u'(E) using the values u(0),u (1) and u(2). Choose the coefficients such that the formula is exact for polynomials with degree less or equal to 2. Can you use these ecoefficients to get an approximation for a first derivative based on function values v(r),v(x+h)and v(x +2h)? At which point z and for which functions v(a) is this approximation equal to '()? Determine the...
Problem 4 A definite integral I is given as .b I=| f(x) dr a=0 b=2 f(x) = e-r' ; ; ; Evaluate the integral using the three-point Gaussian quadrature method Solution:
Problem 4 A definite integral I is given as .b I=| f(x) dr a=0 b=2 f(x) = e-r' ; ; ; Evaluate the integral using the three-point Gaussian quadrature method Solution:
can you please explain the answers
5. The number of pi bonds in the molecule below is HH H-C-C-0-0-0-0-H HH A) 2 B) 4 C) 6 D) 10 6. The geometry of the CS, molecule is best described as A) linear. B) trigonal planar. C) tetrahedral. D) bent. E) trigonal pyramidal. 7. Which choice gives the correct oxidation numbers for all three elements in Ca(CIO), in the order that the elements are shown in the formula? A) +2, +1, -2...
determine the compound structure based on the
spectrums
2114 3296 R Spectrum 4000 2000 1 V (cm) 3000 1600 1200 100 Mass Spectrum Du)-26)12-9-しキ N° significant uv absorption abave 220 nm 40 M-83 CsHgN 40 80 120 160 200 240 280 m/e 13 C NMR Spectrum (100 0 MHz, CDCi, solution) proton decoupied δ(ppm) 0 40 80 120 160 200 H NMR Spectrum (400 MHE, CDci, soudon) with 2H 2H 1H 2H 2H 1.5 8 (ppm) 10 9 8 7...
h(t) V(t) 5sin(2t 75°) +8 V V2) 10cos(2t30°) V Kt 2sin(5t-20) A i(t) Vx(t) AV(t) MW- R 100 R L 2H C1 0.1F V2(t) C2= 0.05F A 4 VAt) The circuit above is in steady state. Solve for i (t). (Hint: There are 3 different frequencies present in this network, so you must use superposition to find each source's contribution to i,(t) since the reactive elements will present different impedances based on which frequency you are considering. DO NOT add...
Section A Q1 0 Using the following Taylor series expansion: f(x+h) = f(x)+hf'(x)+22 h 3! f"(x)+ (+0) (1.1) 4! show that the central finite difference formula for the first derivative can be written as: f'(x)= f(x+h)-f(x-1) + ch" +0(hº) (1.2) 2h Determine cp and of the derived equation. [4 marks] Consider the function: f(x) = sin +COS (1.3) 2 2 Let x =ih with n=0.25, give your answer in 3 decimals for (ii) to (vi): (ii) Evaluate f(x) for i...
-) to determine the exp Company mi Return (%) 25 Compensation o Company A Company B Company C Company D Company E Company F Company G Company H Company 1 Company J Company K Company L Compensation Stock ($mil) 14.54 75.48 4.14 63.99 7.07 142.02 1.08 32.73 1.98 10.69 3.71 30.69 12.02 0.72 7.62 69.44 8.42 58.68 4.03 55.94 20.86 24.26 6.69 32.16 Sto 25 cion and stock return. Print Done -turn? Does stock per CEO? linear relation exists between...
2 (1) For z E C, define exp z - n-0 (a) Prove that the infinite series converges absolutely for z E C (b) Prove that when z є R, the definition of exp z given above is consistent with the one given in problem (2a), assignment 16. Definition from Problem (2a): L(x(1/t)dt E(z) = L-1 (z)
2 (1) For z E C, define exp z - n-0 (a) Prove that the infinite series converges absolutely for z E C...
(5) Fixm 2 1, an integer, and suppose P~ Uniform([0, 1]) and N ~Binomial(m, P) (a) Determine E(Xk(NP) where χκ (n), k-0, 1, 2, . . . , are defined as follows: 1 if n-k 0 otherwise (b) Determine E(Xk(N)h(N)) for a general function h : R R (c) Determine E(PIN) Warning: E(PN) is not N/m as you might be tempted to guess. Hint: Use the law of total probability together with the following result which you showed (in greater...
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