<div dir="ltr">Hi All,<div><br></div><div>There seems to be a small typo on HW5 question 4(b) --  <span style="font-family:Helvetica,Arial,sans-serif">we want to set</span><span style="font-family:Helvetica,Arial,sans-serif"> </span></div><span style="font-family:Helvetica,Arial,sans-serif"><span id="gmail-MathJax-Element-71-Frame" class="gmail-mjx-chtml gmail-MathJax_CHTML" tabindex="0" style="display:inline-block;line-height:0;word-spacing:normal;white-space:nowrap;float:none;direction:ltr;max-width:none;max-height:none;min-width:0px;min-height:0px;border:0px;margin:0px;padding:1px 0px"><span id="gmail-MJXc-Node-940" class="gmail-mjx-math" style="display:inline-block;border-collapse:separate;border-spacing:0px"><span id="gmail-MJXc-Node-941" class="gmail-mjx-mrow" style="display:inline-block;box-sizing:content-box"><span id="gmail-MJXc-Node-942" class="gmail-mjx-mi" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-math-I" style="display:block;white-space:pre;font-family:MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw;padding-top:0.231em;padding-bottom:0.288em;box-sizing:content-box">v</span></span><span id="gmail-MJXc-Node-943" class="gmail-mjx-mo" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-main-R" style="display:block;white-space:pre;font-family:MJXc-TeX-main-R,MJXc-TeX-main-Rw;padding-top:0.459em;padding-bottom:0.573em;box-sizing:content-box">(</span></span><span id="gmail-MJXc-Node-944" class="gmail-mjx-mi" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-math-I" style="display:block;white-space:pre;font-family:MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw;padding-top:0.231em;padding-bottom:0.288em;padding-right:0.08em;box-sizing:content-box">τ</span></span><span id="gmail-MJXc-Node-945" class="gmail-mjx-mo" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-main-R" style="display:block;white-space:pre;font-family:MJXc-TeX-main-R,MJXc-TeX-main-Rw;padding-bottom:0.516em;box-sizing:content-box">,</span></span><span id="gmail-MJXc-Node-946" class="gmail-mjx-mi gmail-MJXc-space1" style="display:inline-block;margin-left:0.167em;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-math-I" style="display:block;white-space:pre;font-family:MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw;padding-top:0.231em;padding-bottom:0.288em;padding-right:0.003em;box-sizing:content-box">z</span></span><span id="gmail-MJXc-Node-947" class="gmail-mjx-mo" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-main-R" style="display:block;white-space:pre;font-family:MJXc-TeX-main-R,MJXc-TeX-main-Rw;padding-top:0.459em;padding-bottom:0.573em;box-sizing:content-box">)</span></span><span id="gmail-MJXc-Node-948" class="gmail-mjx-mo gmail-MJXc-space3" style="display:inline-block;margin-left:0.278em;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-main-R" style="display:block;white-space:pre;font-family:MJXc-TeX-main-R,MJXc-TeX-main-Rw;padding-top:0.06em;padding-bottom:0.345em;box-sizing:content-box">=</span></span><span id="gmail-MJXc-Node-949" class="gmail-mjx-msubsup gmail-MJXc-space3" style="display:inline-block;margin-left:0.278em;box-sizing:content-box"><span class="gmail-mjx-base" style="display:inline-block;box-sizing:content-box"><span id="gmail-MJXc-Node-950" class="gmail-mjx-mi" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-math-I" style="display:block;white-space:pre;font-family:MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw;padding-top:0.231em;padding-bottom:0.288em;box-sizing:content-box">e</span></span></span><span class="gmail-mjx-sup" style="display:inline-block;vertical-align:0.513em;padding-left:0px;padding-right:0.071em;box-sizing:content-box"><span id="gmail-MJXc-Node-951" class="gmail-mjx-texatom" style="display:inline-block;box-sizing:content-box"><span id="gmail-MJXc-Node-952" class="gmail-mjx-mrow" style="display:inline-block;box-sizing:content-box"><span id="gmail-MJXc-Node-953" class="gmail-mjx-msubsup" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-base" style="display:inline-block;box-sizing:content-box"><span id="gmail-MJXc-Node-954" class="gmail-mjx-mi" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-math-I" style="display:block;white-space:pre;font-family:MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw;padding-top:0.231em;padding-bottom:0.516em;padding-right:0.025em;box-sizing:content-box">γ</span></span></span><span class="gmail-mjx-sub" style="display:inline-block;vertical-align:-0.212em;padding-right:0.071em;box-sizing:content-box"><span id="gmail-MJXc-Node-955" class="gmail-mjx-mn" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-main-R" style="display:block;white-space:pre;font-family:MJXc-TeX-main-R,MJXc-TeX-main-Rw;padding-top:0.402em;padding-bottom:0.345em;box-sizing:content-box">1</span></span></span></span><span id="gmail-MJXc-Node-956" class="gmail-mjx-mi" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-math-I" style="display:block;white-space:pre;font-family:MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw;padding-top:0.231em;padding-bottom:0.288em;padding-right:0.08em;box-sizing:content-box">τ</span></span></span></span></span></span><span id="gmail-MJXc-Node-957" class="gmail-mjx-mi" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-math-I" style="display:block;white-space:pre;font-family:MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw;padding-top:0.231em;padding-bottom:0.288em;box-sizing:content-box">c</span></span><span id="gmail-MJXc-Node-958" class="gmail-mjx-mo" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-main-R" style="display:block;white-space:pre;font-family:MJXc-TeX-main-R,MJXc-TeX-main-Rw;padding-top:0.459em;padding-bottom:0.573em;box-sizing:content-box">(</span></span><span id="gmail-MJXc-Node-959" class="gmail-mjx-mi" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-math-I" style="display:block;white-space:pre;font-family:MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw;padding-top:0.402em;padding-bottom:0.288em;box-sizing:content-box">t</span></span><span id="gmail-MJXc-Node-960" class="gmail-mjx-mo" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-main-R" style="display:block;white-space:pre;font-family:MJXc-TeX-main-R,MJXc-TeX-main-Rw;padding-bottom:0.516em;box-sizing:content-box">,</span></span><span id="gmail-MJXc-Node-961" class="gmail-mjx-mi gmail-MJXc-space1" style="display:inline-block;margin-left:0.167em;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-math-I" style="display:block;white-space:pre;font-family:MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw;padding-top:0.231em;padding-bottom:0.459em;padding-right:0.006em;box-sizing:content-box">y</span></span><span id="gmail-MJXc-Node-962" class="gmail-mjx-mo" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-main-R" style="display:block;white-space:pre;font-family:MJXc-TeX-main-R,MJXc-TeX-main-Rw;padding-top:0.459em;padding-bottom:0.573em;box-sizing:content-box">)</span></span></span></span></span></span><span style="font-family:Helvetica,Arial,sans-serif"> not </span><span style="font-family:Helvetica,Arial,sans-serif"><span id="gmail-MathJax-Element-72-Frame" class="gmail-mjx-chtml gmail-MathJax_CHTML" tabindex="0" style="display:inline-block;line-height:0;word-spacing:normal;white-space:nowrap;float:none;direction:ltr;max-width:none;max-height:none;min-width:0px;min-height:0px;border:0px;margin:0px;padding:1px 0px"><span id="gmail-MJXc-Node-963" class="gmail-mjx-math" style="display:inline-block;border-collapse:separate;border-spacing:0px"><span id="gmail-MJXc-Node-964" class="gmail-mjx-mrow" style="display:inline-block;box-sizing:content-box"><span id="gmail-MJXc-Node-965" class="gmail-mjx-mi" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-math-I" style="display:block;white-space:pre;font-family:MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw;padding-top:0.231em;padding-bottom:0.288em;box-sizing:content-box">c</span></span><span id="gmail-MJXc-Node-966" class="gmail-mjx-mo" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-main-R" style="display:block;white-space:pre;font-family:MJXc-TeX-main-R,MJXc-TeX-main-Rw;padding-top:0.459em;padding-bottom:0.573em;box-sizing:content-box">(</span></span><span id="gmail-MJXc-Node-967" class="gmail-mjx-mi" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-math-I" style="display:block;white-space:pre;font-family:MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw;padding-top:0.402em;padding-bottom:0.288em;box-sizing:content-box">t</span></span><span id="gmail-MJXc-Node-968" class="gmail-mjx-mo" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-main-R" style="display:block;white-space:pre;font-family:MJXc-TeX-main-R,MJXc-TeX-main-Rw;padding-bottom:0.516em;box-sizing:content-box">,</span></span><span id="gmail-MJXc-Node-969" class="gmail-mjx-mi gmail-MJXc-space1" style="display:inline-block;margin-left:0.167em;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-math-I" style="display:block;white-space:pre;font-family:MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw;padding-top:0.231em;padding-bottom:0.288em;box-sizing:content-box">x</span></span><span id="gmail-MJXc-Node-970" class="gmail-mjx-mo" style="display:inline-block;box-sizing:content-box"><span class="gmail-mjx-char gmail-MJXc-TeX-main-R" style="display:block;white-space:pre;font-family:MJXc-TeX-main-R,MJXc-TeX-main-Rw;padding-top:0.459em;padding-bottom:0.573em;box-sizing:content-box">)</span></span></span></span></span></span><span style="font-family:Helvetica,Arial,sans-serif"> so that you can use part (a). The way it is written in the assignment, the calculation should still work, but it is more tedious than intended. </span><div><br></div><div><div><span style="font-family:Helvetica,Arial,sans-serif;font-size:15px">Best,</span></div><div><span style="font-family:Helvetica,Arial,sans-serif;font-size:15px"><br></span></div><div><span style="font-family:Helvetica,Arial,sans-serif;font-size:15px">David</span></div></div></div>