APPM 1340 Midterm: appm1340fall2014exam3_sol
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Solution: (12 points) an object hanging from a spring is stretched k units beyond its rest position and released at time t = 0 to bob up and down. Solution: the y-coordinate of the point of tangency is y( slope: 4 . (2 tan x)3 at x = . Find the tangent y = 3(2 tan x) 4( sec2 x) y ( . An equation for the tangent line is y = 1 + 6(x . 4 ) or y = 6x 3 . Solution: rewritten the given line as y = 3 perpendicular slope is then m = 5. 5 x + 7 to nd that the slope of the line is m = 3. Find the derivative of the given curve and set it equal to m . 3 (c) (14 points) find the points on the curve (2y + 1)(2y 1) = (2x 1)2 where the tangent is horizontal.
