My function is E(t)=22.5t+7.5t^2-2.5t^3
Can you please help me with these steps so I can do same for my other functions?
The next step involves, using your graphs from above. Discuss in a paragraph, which is a better estimate of the area between the graph of the function and the x-axis. Make sure to mention over estimates, underestimates, etc. Also consider whether the slopes of the tangent lines over your interval (or subintervals) make one of the estimates better than the others. The last task is to choose 2 points on a continuous portion of the graph of the function. (Hint: Clearly label which function you are working with.] Find the slope of the secant line joining these 2 points. Then use the equation editor to show the calculation of the slope of the secant line connecting the two points. Then find a point in the interval that has a tangent line with the same slope as the secant line. [Hint: Use the derivative of the function from above, set that equal to the slope of the secant line, and then solve for a value that is in the continuous interval you chose.) Show these calculations using correct mathematical notation with an equation editor.[1] Finally copy a graph of the original function below the calculations. Plot the two points on the graph that you chose and graph the secant line, the tangent line and the point whose derivative equals the slope of the secant line.