A parabolic arch rests on flat ground and has a span of 4.00 m and a height of 4.00 m. You want to build a ramp that will rest on the arch. The maximum allowable slope of the ramp is ½....

1. 
   A
   
   parabolic arch rests on flat ground and has a span of 4.00 m and a height
   
   of 4.00 m. You want to build a ramp that will rest on the
   
   arch. The maximum allowable slope of the ramp is ½.
   What is the distance along
   
   the ramp between the base of the ramp and the point where it touches the
   
   arch
   
   
   

2.




Sketch the graph of

We all know that there are
lots of bits of software that will do this quickly and accurately but that's
not what I want here. You have to put the sketch together by
first finding any points of


discontinuity, finding any
maximum/minimum points
(and showing why that's what they are) and
finding the limit of the function as x approaches both positive and negative
infinity. Once you have found these put them together to form your
sketch. Label the sketch showing the information you used to make it.

3.




Consider the function shown
below. Write
the
equation for the normal
to the curve when x=-3.

1. A parabolic arch rests on flat ground and has a span of 4.00 m and a height of 4.00 m.  You want to build a ramp that will rest on the arch.  The maximum allowable slope of the ramp is ½.  What is the distance along the ramp between the base of the ramp and the point where it touches the arch 2. Sketch the graph of  We all know that there are lots of bits of software that will do this quickly and accurately but that's not what I want here.  You have to put the sketch together by first finding any points of discontinuity, finding any maximum/minimum points (and showing why that's what they are) and finding the limit of the function as x approaches both positive and negative infinity.  Once you have found these put them together to form your sketch.  Label the sketch showing the information you used to make it. 3. Consider the function shown below.  Write the equation for the normal to the curve when x=-3.