MAT 132 Homework 1 Solutions

1. tex2html_wrap_inline67

7. tex2html_wrap_inline69 sec tex2html_wrap_inline71 tan(3x) +C .

10. tex2html_wrap_inline75

tex2html_wrap_inline77 ln tex2html_wrap_inline79 .

13. tex2html_wrap_inline81 sin tex2html_wrap_inline83 Thus, the statement is false.

17. (xarctan tex2html_wrap_inline87 ln tex2html_wrap_inline89 arctan tex2html_wrap_inline91 arctan x.

20. (ln |secx + tan tex2html_wrap_inline101 secxtanx + sec tex2html_wrap_inline107 secx + tanx)=secx.

23a. tex2html_wrap_inline115 sin tex2html_wrap_inline117 cos tex2html_wrap_inline119 sin(2x)) + C.

23b. The statement follows from the fact that tex2html_wrap_inline123 sinx on the interval tex2html_wrap_inline127

24. tex2html_wrap_inline129 sinxcos tex2html_wrap_inline133 sin tex2html_wrap_inline135 cos tex2html_wrap_inline137 cos tex2html_wrap_inline139 sin tex2html_wrap_inline141 Note that the last step follows from the trigonometric idenitity sin tex2html_wrap_inline143 + cos tex2html_wrap_inline143 = 1.



Tony Phillips
Mon Feb 2 14:52:39 EST 1998