learning task 4answer 2 and 3 only Learning Task 4: For you to fully master this module, analyze and solve the giverproblem.1. For y-ln2x, determine the equation of a tangent line parallel to 2x-3y+1-0,2. On the wall of Mr. Piamonte'a house, a picture was hung in 6 me-ters high, so that its location is 5 meters above an observer's eye.How far should the observer atand from the wall so that the anglesubtended by the picture at the eye shall be maximum?3. Herrera's ship ia 70 kilormeteru due north of Arian' fiahing vessel ina noon of a certain day. The ship sails eant at 12 kilometera perhour and the fishing vessel sails west at 8 kilometers per hour,how fast is the distance betwee them changing 4 hours later?CLMDLearning Task 5: Analyze the given problems. Sketch the figure of the describedsituation in each problem and then solve.1. Determine the equation of a tangent line perpendicular to the line2x + 2y = 2, for a curve y - 2ln(3x).2. The Guinahoan Lighthouse has a revolving light. It turns at a rateof 3 revolutions per minute. If the light is situated 1/2 kilometersfrom the atraight beach, how fast does the spotlight from the beammoving along the beach when it is 1.5 kilometer from point of thebeach nearest the light.3. A light on the ground at the Mercado's building is 30 metern awayfrom the building. Mr. Rodrigo is 2 meters tall. He walks from thelight to the building at 1 meters per second. How fast is the ahadowof Mr. Rodrigo on the building changing when the man is 15 me-ters from the building?

2.) Let us consider, scenario from observers eye. d =distance of object =5 m h= height of object =6…

2. On the wall of Mr. Piamonte'a house, a picture was hung in 6 me- ters high, so that its location is 5 meters above an observer's eye. How far should the observer stand from the wall so that the angle subtended by the picture at the eye shall be maximum? 3. Herrera's ahip is 70 kilometers due north of Arias' fishing vessel in a noon of a certain day. The ship sails east at 12 kilometers per hour and the fishing vessel sails west at 8 kilometers per hour, how fast is the distance betwee them changing 4 hours later?