(6 marks) Evaluate the following limits, or explain why they do not exist. You should show...
(b) Evaluate the following limits or explain why they do not exist: Hint: you do not have to give e, 6 type arguments; use the properties given in the notes. (i) (1P.) 3z2i lim 2-1 z 4z2 + z (ii) (2P.) Re(z) lim Im(2)
f(x, y) = y/(sqrt(z? + y2) + x) Evaluate the limits below, if they exist. If the limit does not exist, explain why it does not exist Yon musi elearly staie if you ity, lopital's rle or the sandwch theorem in your working. You do not need to justify using limit laws. (i) lim f(x, y) (ii) im f(r, y (iv) zlin2-1.0 arctan ^Ca.v)l f(x, y) = y/(sqrt(z? + y2) + x) Evaluate the limits below, if they exist. If...
Question 2 (10 marks) In this question you must state if you use any standard limits, continuity, l'Hôpital's rule, the sandwich theorem or any convergence tests for series. You do not need to justify using limit laws 2n n3 or explain why it does not exist. (a) Evaluate lim n (b) Determine whether each of the following converge: n+3 2n (i) 2 (3n) (ii) (n3)! n=1 Question 2 (10 marks) In this question you must state if you use any...
explain clearly please Problem 3 (6 points each). Evaluate the following limits algebraically, showing all work. If the limit does not exist, then write DNE and explain why it does not exist. You may use L'Hospial's rule but if you do you must specify that you have done so. (a) lim (e-2x + 2 tan-? (3.)) (5) limun (2+1) (c) lim a tan (1/1)
Can someone fully solve this for me please 5. (6 marks) For each of the following sets determine whether the supremum and infimum exist and if so, give the supremum and infimum. (You are not required to show any working for this question.) (a) Q (b) EN n+2 1,5 5. (6 marks) For each of the following sets determine whether the supremum and infimum exist and if so, give the supremum and infimum. (You are not required to show any...
can you show steps please and explain what you use as your limits and why 12. Determine the magnitude of the electric field at any point P a distance x from a very long wire of uniformly distributed charge. Assume x is much smaller than the length of the wire, and let 2 be the charge per unit length (C/m). Ane – 21-26
E1. a) Draw and explain why does capacitance exist in transmission lines. (2 Marks ) b) 132 kV three-phasetransmissionline arranged as shown in the figure has a length of 80 km and its conductor's diameter is 1.15 cm. Calculate: i) Inductance per phase (2 Marks) ii) Capacitance per phase (2 Marks ) iii) Charging current per phase (1 Mark) 5m 5m A BI Answer in the Word document (ANSWER SHEET) and Upload as attachment below
(12) Evaluate the following limits. You must show all your work to get full credit. 2.2 - 2-3 (a) lim 2-1 12-2-2 3.42 (b) lim 2-01 - COS 2 (c) lim x tan(3/2) 200 [8] Farmer Bob has 400 linear feet of fence with which to build a rectangular enclosure along the bank of a straight river. If no fence is required along the river bank, what dimensions will maximize the total area covered by the enclosure and what is...
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show that 4r+6ry>0 for all (r,y) ER-(x,y): 1S2,-2Sysi) Use a double integral to compute the volume of the solid that lies under the graph of the function 4+6ry and above the rectangle R in the ry-plane. e) Consider the integral tan(r) log a dyd. (i) Make a neat, labelled sketch of the region R in the ry-plane over...
thx!!! previous info (iv) Explain why it follows from (iv) that IV 2T+1 I(x) = Σ 2n+1 7and (2n +1)28 Like at least one of Euler's proofs, it derives the latter first and then deduces the former from it We will work with the function sin 2θ 1 + x cos 2θ ( tan-1 where T and θ are two independent variables. Sometimes we will regard x as the variable and sometimes and we will try to keep this clear....