# Type 5: Table and Riemann Sum Questions

Before we look at the table and Riemann sum problem take a look at this: A Google Employee has calculated to over a trillion decimal places, To be exact 31,425925,535,897 places…Hum, where have I seen those digits before?  And it only took took 25 virtual machines 121 days to do it. On to Riemann sums…

# Table & Riemann Sum Questions (Type 5)

Tables may be used to test a variety of ideas in calculus including analysis of functions, accumulation, position-velocity-acceleration, theory and theorems among others. Numbers and working with numbers is part of the Rule of Four and table problems are one way this is tested.  What students should be able to do: Find the average rate…

# The Table Question

AP Type Questions 5 Tables may be used to test a variety of ideas in calculus including analysis of functions, accumulation, position-velocity-acceleration, theory and theorems among others. Numbers and working with numbers is part of the Rule of Four and table problems are how this is tested.  What students should be able to do Find…

# Flying to Integrationland

Here is a problem similar to the one in the last post, but with foibles of its own. The speed of an airplane in miles per hour is given at half-hour intervals in the table below. Approximately how far does the airplane travel in the three hours given in the table? How far is it…

# The Old Pump

A tank is being filled with water using a pump that is old, and slows down as it runs. The table below gives the rate at which the pump pumps at ten-minute intervals. If the tank initially has 570 gallons of water in it, approximately how much water is in the tank after 90 minutes?…