Recent content by mrm0607

  1. M

    Find Optimal Speed for Fuel Efficiency in a Car

    Thank you. I will try that.
  2. M

    Find Optimal Speed for Fuel Efficiency in a Car

    Hi, I would like help to solve the following question. Q: The graph shows the fuel consumption c of a car (measured in gallons per hour) as a function of the speed v of the car. At very low speeds the engine runs inefficiently, so initially c decreases as the speed increases. but at high...
  3. M

    Expanding the Exponential Function Using Limits

    Hi, We have not covered the l Hopitals rule yet so I am trying to expand (1+x/n)^n to show as lim(n-->infinity) (1+x/n)^n = e^x for any x> 0 This is what I did so far and after that I am short of lost: Please read this (n 1) in vertical form ( I do not know how to use Latex) lim...
  4. M

    Expanding the Exponential Function Using Limits

    Hi, I would like to understand how l'Hôpital's rule applies. we haven't covered it yet. Thank you
  5. M

    Parabola, tangebt line and Normal Line intersect

    Homework Statement Where does the normal line to the parabola y= x - x^2 at the point (1,0) intersect the parabola a second time? Illustrate with a sketch Homework Equations y= x - x^2 The Attempt at a Solution y' = 1-2x slope of tangent = -1 (after substituting value of x in...
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