Advanced Engineering Mathematics, 7th Edition

12 Chapter in Review Answers to selected odd-numbered problems begin on page ANS-33.

In Problems 1–10, fill in the blank or answer true/false without referring back to the text.

1. The functions f(x) = x² – 1 and g(x) = x⁵ are orthogonal on the interval [–π, π].
2. The product of an odd function f with an odd function g is an function.
3. To expand f(x) = |x| + 1, –π < x < π, in an appropriate trigonometric series we would use a series.
4. y = 0 is never ...