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4. (i) Show that r >0 6 mar 「1+e-)-dz by using the series of part (i)...
I am struggling very much with this question, could you please provide a detailed answer, I will rate it. Thank you very...
I am struggling very much with
this question, could you please provide a detailed answer, I will
rate it. Thank you very much.
4. () Show that 5 (>0) +3- 16 128 6 mar (ii Find an approximation for da by using the series of part (i) and giving your answer correct to 4dp 6 mar J(1+e d (iii) Find an approximation for by using Simpson's rule with eight equal intervals and working to 4dp. 8 mar 4. () Show...
1199031 Consider the following series 1 (a) Use a graphing utility to graph several partial suns of the series. 6 n-1 n-6 -3 (b) Find the sum of the series and its radius of convergence. (e) Use...
1199031 Consider the following series 1 (a) Use a graphing utility to graph several partial suns of the series. 6 n-1 n-6 -3 (b) Find the sum of the series and its radius of convergence. (e) Use a graphing utility and 50 terms of the serles to approximate the sum when x -0.5. (Round your answer to six decimal (d) Determine what the approximation represents. The sum from part (c) is an approximation of In(0.3) Determine how good the approximation...
Q3: 5 marks (A) Expand f(z) (2-1)(2-3) in a Laurent series valid for (i) Iz -...
Q3: 5 marks (A) Expand f(z) (2-1)(2-3) in a Laurent series valid for (i) Iz - 11 < 2, and (ii) Iz - 31 < 2. 1.5 marks each part (B) Use Laurent series to find the residue of f(2)= e (x - 2)-2 at its pole z = 2. 2 marks
part B is incorrect I need help! Volume Charge Densily 4 Part A A solid sphere...
part B is incorrect I need help!
Volume Charge Densily 4 Part A A solid sphere of radius R carries volume charge density ρ Poe R where pu is a constant and r is the distance from the center. Find an expression for the electric field strength at the sphere's surface. Your expression should be in terms of the given variables and any other known variables such as the dielectric constant, e0.印is typed as "epsilon0" without the quotations. ρο is...
Find the the current I(t) in an LRC series circuit, using the given initial current and the charge on the capacitor, when L =0.02H, R =2ohms, c=0.001F, E(t)=150volts, Q(0)=5c and I(0)=0A. Please show...
Find the the current I(t) in an LRC series circuit, using the given initial current and the charge on the capacitor, when L =0.02H, R =2ohms, c=0.001F, E(t)=150volts, Q(0)=5c and I(0)=0A. Please show each step with any explanation. Thanks
Consider the differential equation: -9ty" – 6t(t – 3)y' + 6(t – 3)y=0, t> 0. a....
Consider the differential equation: -9ty" – 6t(t – 3)y' + 6(t – 3)y=0, t> 0. a. Given that yı(t) = 3t is a solution, apply the reduction of order method to find another solution y2 for which yı and y2 form a fundamental solution set. i. Starting with yi, solve for w in yıw' + (2y + p(t)yı)w = 0 so that w(1) = -3. w(t) = ii. Now solve for u where u = w so that u(1) =...
Question 1 (4 Marks) A weird vector space. Consider the set R+ = {2 ER: I...
Question 1 (4 Marks) A weird vector space. Consider the set R+ = {2 ER: I >0} = V. We define addition by zey=ry, the product of x and y. We use the field F=R, and define multiplication by cor = xº. Prove that (V, e, Ro) is a vector space. ONLY HAND IN : i) The zero vector ii) what is 6-7 iii) proof of e) of the axioms.
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, cen...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...
MECH2407: Multivariable Calculus and Partial Differential Equations 4. (a) Given two periodic functions as below in part (0) and part (iã) i) f2 1 -1st< (ii) f)-1/2 State the period of the t...
MECH2407: Multivariable Calculus and Partial Differential Equations 4. (a) Given two periodic functions as below in part (0) and part (iã) i) f2 1 -1st< (ii) f)-1/2 State the period of the two periodic functions respectively. Hence, sketch the two given perodic functions for 3 periods. Find the Fourier series for the two given perodic functions over the given interval and expand the series to give the partial sum up to the first three non-zero terms respectively. (16 marks) Use...
E 250 GPa and I 39.9(10-6) m4 Figure 1) Part A Determine the maximum deflection of...
E 250 GPa and I 39.9(10-6) m4 Figure 1) Part A Determine the maximum deflection of the simply supported beam. Express your answer to three significant figures and include the appropriate units. LA Unax =10.161 m SubmitPr Previous Answers Request Answer XIncorrect; Try Again Figure 1 of 1 Provide Feedback Next > 40 kN·m 10 kN·m 6 m
I am struggling very much with
this question, could you please provide a detailed answer, I will
rate it. Thank you very much.
4. () Show that 5 (>0) +3- 16 128 6 mar (ii Find an approximation for da by using the series of part (i) and giving your answer correct to 4dp 6 mar J(1+e d (iii) Find an approximation for by using Simpson's rule with eight equal intervals and working to 4dp. 8 mar 4. () Show...
1199031 Consider the following series 1 (a) Use a graphing utility to graph several partial suns of the series. 6 n-1 n-6 -3 (b) Find the sum of the series and its radius of convergence. (e) Use a graphing utility and 50 terms of the serles to approximate the sum when x -0.5. (Round your answer to six decimal (d) Determine what the approximation represents. The sum from part (c) is an approximation of In(0.3) Determine how good the approximation...
Q3: 5 marks (A) Expand f(z) (2-1)(2-3) in a Laurent series valid for (i) Iz - 11 < 2, and (ii) Iz - 31 < 2. 1.5 marks each part (B) Use Laurent series to find the residue of f(2)= e (x - 2)-2 at its pole z = 2. 2 marks
part B is incorrect I need help!
Volume Charge Densily 4 Part A A solid sphere of radius R carries volume charge density ρ Poe R where pu is a constant and r is the distance from the center. Find an expression for the electric field strength at the sphere's surface. Your expression should be in terms of the given variables and any other known variables such as the dielectric constant, e0.印is typed as "epsilon0" without the quotations. ρο is...
Consider the differential equation: -9ty" – 6t(t – 3)y' + 6(t – 3)y=0, t> 0. a. Given that yı(t) = 3t is a solution, apply the reduction of order method to find another solution y2 for which yı and y2 form a fundamental solution set. i. Starting with yi, solve for w in yıw' + (2y + p(t)yı)w = 0 so that w(1) = -3. w(t) = ii. Now solve for u where u = w so that u(1) =...
Question 1 (4 Marks) A weird vector space. Consider the set R+ = {2 ER: I >0} = V. We define addition by zey=ry, the product of x and y. We use the field F=R, and define multiplication by cor = xº. Prove that (V, e, Ro) is a vector space. ONLY HAND IN : i) The zero vector ii) what is 6-7 iii) proof of e) of the axioms.
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...
MECH2407: Multivariable Calculus and Partial Differential Equations 4. (a) Given two periodic functions as below in part (0) and part (iã) i) f2 1 -1st< (ii) f)-1/2 State the period of the two periodic functions respectively. Hence, sketch the two given perodic functions for 3 periods. Find the Fourier series for the two given perodic functions over the given interval and expand the series to give the partial sum up to the first three non-zero terms respectively. (16 marks) Use...
E 250 GPa and I 39.9(10-6) m4 Figure 1) Part A Determine the maximum deflection of the simply supported beam. Express your answer to three significant figures and include the appropriate units. LA Unax =10.161 m SubmitPr Previous Answers Request Answer XIncorrect; Try Again Figure 1 of 1 Provide Feedback Next > 40 kN·m 10 kN·m 6 m
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