- #1
Missy
- 11
- 1
Homework Statement
Ok guys, its been a while since I have done this one so I don't even know where to begin. Here is the problem I have to complete:
The power (in watts) from an engine is represented by the equation below, where t is the time in seconds.
P = 30t^2.2 + 3t
1) Draw a table showing values of P for the range t=0 to t=9 seconds in intervals of 1 second. (Stuck on how to do this with the above equation)
2) Plot the graph that represents power against time from 0 to 9 seconds for this engine. Ensure the graph is correctly and fully labelled and titled. (Easy part)
3) Show the area on the graph which represents the energy converted between t = 5s and 9s (Easy part)
4) Using the trapezium rule, estimate the energy converted between t=5 and t=9 for intervals of 1 sec (never done this before)
6) Check your answer by integrating the expression between the limits t=5 and t=9. Account for the differences obtained.
Homework Equations
1) How do I solve my table of co-ordinates to plot the graph?
2) How do I apply the trapezium rule once I have plotted the graph?
The rest I can do
The Attempt at a Solution
I have integrated the expression to 9.375t^3.2 +3t^2/2
Please be nice, I am still relatively new to all of this so where you may be fully experience in dealing with calculus, trapezium rules and definite integration I'm still learning and I can't see how to solve this task.