Worksheet – Trapezoidal Rule



AP Calculus Trapezoidal Rule Name_________________________

1. Use the trapezoidal rule to solve [pic] with n = 6. SHOW THE COMPLETE SETUP.

2. A vehicle’s aerodynamic drag is determined in part by its cross-sectional area, and all other things being equal, engineers try to make this area as small as possible. Estimate the cross-sectional area of James Worden’s solar-powered Solectria car at M.I.T. from the diagram below. Use only the middle region with left and right base = 0.

3. The table lists several physical measurements gathered in an experiment to approximate a continuous function

|x |0.00 |0.25 |0.50 |0.75 |1.00 |1.25 |1.50 |

|L(t) (people) |120 |156 |176 |126 |150 |80 |0 |

___________7. Concert tickets went on sale at noon (t = 0) and were sold out within 9 hours. The number of people waiting in

line to purchase tickets at time t is modeled by a twice-differentiable function L for [pic]. Values of L(t)

at various times t are shown in the table above.

Use a trapezoidal sum with three subintervals to estimate the average number of people waiting in line during

the first 4 hours that tickets were on sale.

__________8. The graph of a differentiable function f on the closed interval [-3, 15] is shown in the figure above. The graph

of f has a horizontal tangent line at x = 6.

Find a trapezoidal approximation of [pic] using six subintervals of length [pic]= 3.

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download