Question

6xydx + 9x?dy = 0 Question 4 /10: Find the 5 fifth roots of 1+i. Question 5 /20: For this question, YOU MUST do this step first: add the LAST 4 digit of your ID. Let us called this number A. You are studying the age of an artefact that you are trying to date using a novel element, having a half-life of ten times A (10xA). Originally, that element is present with an estimated amount of 40 grams. You measure an amount of A/40 grams. Knowing the rate of decay of the element over time is proportional to the square of the quantity left, how old is the artefact? Question 6 /20: A mass m is sinking into water. Using Archimedes principle of buoyancy, we can write the equation of the velocity of the object (v(t)) sinking, using the positive direction being up, as: m dv(t) dt = mg - kv2 - PV Where V is the volume of the object and p the density. a) Solve the equation. You will probably need an integral table. b) Determine the limiting, or terminal, velocity of the sinking mass.

Question 4 please

Answer 1

Solution; let Z =lti we need to write z. in trigonometric form IZ) = Viti 2 . The trigonometric. foom is Zo ZORG Fate te then there is an angle o such that to so = 1/2 and Sino = 1/2 So, o ties în Ist quadrant & O = 17 ( a Z=52 Cos I tisin we need to find o such that w5=z 15 = Z Now, apply the Demoivre's theorem if z = Cosofisino Z = Cosnioti sinna.

So, we have 근 2 24) 15 5 + 0 20 + 5 ㄴ 근 고(여 Cast iSin (7) ) + s ( 2) + (+ cos R 5 pes ale [o)…(5 heroe k=0,1,2,3,4.