True-False Quiz [Ch 5.3-5.9]

These are just for practice and don't affect your grade. I'm assuming you've read over sections 5.3-5.9 of the Edwards and Penny text . The CD that comes with the book has a lot more TF questions for practice. It auto-grades, too, like this page does.

True False. If f(x) = x-2, then every Riemann Sum for f on [0,1] is negative.

True False. The left endpoint rule produces smaller answers than the right endpoint rule.

True False. If 10 < f(x), for all x, then the average value of f over [1,4] is at least 10.

True False. Every continuous function has an antiderivative.

True False. lim_n_®_¥ (1+2+3+ ...+n)/n²= 1/6.

True False. 4ò₀^p cos²(4q) dq = ò₀^4p cos²(u) du.

True False. The area between two curves can be negative.

True False. If f is a cubic polynomial then Simpson's Rule on [a,b] is exact.

True False. If f is strictly increasing on [a,b], then L_n< T_n< R_n

True False. The error estimate for the trapezoid rule is better than that for the midpoint rule.

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