Questions from General Calculus

Q: Sketch the graph of a continuous function on [0, 2

Sketch the graph of a continuous function on [0, 2] for which the Trapezoidal Rule with n = 2 is more accurate than the Midpoint Rule.

Q: Sketch the graph of a continuous function on [0, 2

Sketch the graph of a continuous function on [0, 2] for which the right endpoint approximation with n = 2 is more accurate than Simpson’s Rule.

Q: Find a power series representation for the function and determine the radius

Find a power series representation for the function and determine the radius of convergence.

Q: Show that 1 2 (Tn + Mn) =

Show that 1 2 (Tn + Mn) = T2n

Q: Show that 1 3 Tn + 2

Show that 1 3 Tn + 2 3 Mn = S2n

Q: Use the indicated entry in the Table of Integrals on the Reference

Use the indicated entry in the Table of Integrals on the Reference Pages to evaluate the integral.

Q: Use the indicated entry in the Table of Integrals on the Reference

Use the indicated entry in the Table of Integrals on the Reference Pages to evaluate the integral.

Q: Use the indicated entry in the Table of Integrals on the Reference

Use the indicated entry in the Table of Integrals on the Reference Pages to evaluate the integral.

Q: Use the Table of Integrals on Reference Pages 6–10 to

Use the Table of Integrals on Reference Pages 6–10 to evaluate the integral.

Q: Use the Table of Integrals on Reference Pages 6–10 to

Use the Table of Integrals on Reference Pages 6–10 to evaluate the integral.