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Quiz for MTHSC 106 - CALC OF ONE VAR I at Clemson (Clemson)

Quiz Information

Material Type:Quiz 3
Professor:Staff
Class:MTHSC 106 - CALC OF ONE VAR I
Subject:MATHEMATICAL SCIENCES
University:Clemson University
Term:--
Keywords:
  • Real Numbers
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Quiz - Chapter 3 Key Name: 1) Find all points in ?pi/2 < x < pi/2 where the line y = tanx has its tangent line parallel to y = 2x. (Hint: you might draw a quick sketch to see how many places this should happen) Answer: What we really want is for the derivates to match. Certainly dy dx(2x) = 2, so we want all points ?pi < x < pi such that 2 = dydx tanx = sec2 x = 1cos2 x ?? cosx = ± 1?2 =± ?2 2 ?? x = ±pi4 so (±pi4,±1) 2) Find a cartesian equation describing this parametric equation: x = 3t, y = 9t2 for ??< t
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