Key-Midterm1-Math124-2014 - MATH124 CALCULUS II for...

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MATH124 CALCULUS II for EngineersLab Section:Key for Midterm 1(50 pts)Febru-ary 5, 2014Pleaseprintnames and IDs inink:NSID:Family Name:First Name:Student ID:INSTRUCTIONS:1. Time Limit: 80 minutes2. For full marks all work must be shown.3. Simplify your answers unless otherwise instructed.4. Write clearly and legibly.5. Cheating is a serious academic offence. If found guilty then expulsion could be the result.Keep your eyes on your own work.6. No books, notes, calculators, or other electronic devices will be allowed during examinations.GRADES(to be entered by the markers):12(a)2(b)34(a)4(b)567(a)7(b)8Total1. (4 pts) The gravitational potential of a satellite orbiting the Earth in a circular orbit isV(r) =-ar,whereris the radial distance between the centre of Earth and the satellite, andais a positiveconstant. Suppose thatrdecreases 1%.Using differentials, estimate the percentage change in thegravitational potential

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