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Learning Task 4: For you to fully master this module, analyze and solve the given problem. 1. For y=In2x, determine the equation of a tangent line parallel to 2x- 3y+ 1-0. 2. On the wall of Mr. Piamonte's 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 ship 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 between them changing 4 hours later? CLMD Learning Task 5: Analyze the given problems. Sketch the figure of the described situation in each problem and then solve. 1. Determine the equation of a tangent line perpendicular to the line 2x + 2y = 2, for a curve y = 2In(3x). 2. The Guinahoan Lighthouse has a revolving light. It turns at a rate of 3 revolutions per minute. If the light is situated 1/2 kilometers from the straight beach, how fast does the spotlight from the beam moving along the beach when it is 1.5 kilometer from point of the beach nearest the light. 3. A light on the ground at the Mercado's building is 30 meters away from the building. Mr. Rodrigo is 2 meters tall. He walks from the light to the building at 1 meters per second. How fast is the shadow of Mr. Rodrigo on the building changing when the man is 15 me- ters from the building?What I Can Do Cite five (5) research questions used in real life and formulate your null and alternative hypotheses. Example: Is it true that turmeric can prevent viruses? H.: Drinking turmeric cannot prevent viruses. Ha: Drinking turmeric can prevent viruses. 11