Math 181 Miniproject 3: Texting Lesson.md --- What's Your Point Tangent? === <style> body { background-color: #eeeeee; } h1 { color: maroon; margin-left: 40px; } .gray { margin-left: 50px ; margin-right: 29%; font-weight: 500; color: #000000; background-color: #cccccc; border-color: #aaaaaa; } .blue { display: inline-block; margin-left: 29% ; margin-right: 0%; width: -webkit-calc(70% - 50px); width: -moz-calc(70% - 50px); width: calc(70% - 50px); font-weight: 500; color: #fff; border-color: #336699; background-color: #337799; } .left { content:url("https://i.imgur.com/rUsxo7j.png"); width:50px; border-radius: 50%; float:left; } .right{ content:url("https://i.imgur.com/5ALcyl3.png"); width:50px; border-radius: 50%; display: inline-block; vertical-align:top; } </style> <div id="container" style=" padding: 6px; color: #fff; border-color: #336699; background-color: #337799; display: flex; justify-content: space-between; margin-bottom:3px;"> <div> <i class="fa fa-envelope fa-2x"></i> </div> <div> <i class="fa fa-camera fa-2x"></i> </div> <div> <i class="fa fa-comments fa-2x"></i> </div> <div> <i class="fa fa-address-card fa-2x" aria-hidden="true"></i> </div> <div> <i class="fa fa-phone fa-2x" aria-hidden="true"></i> </div> <div> <i class="fa fa-list-ul fa-2x" aria-hidden="true"></i> </div> <div> <i class="fa fa-user-plus fa-2x" aria-hidden="true"></i> </div> </div> <div><img class="left"/><div class="alert gray"> Hello! I need help finding the tangent line of a given point, do you think that you could show me an example? </div></div> <div><div class="alert blue"> Absolutely! When prompted with the following, what is the first thing you would do? ![](https://i.imgur.com/fNuYSIr.png) </div><img class="right"/></div> <div><img class="left"/><div class="alert gray"> First I would start by determining the point of value and the slope of the given function. </div></div> </div></div> <div><div class="alert blue"> That's correct! In order to find the tangent line we need to first find the point and the slope. To calculate the slope, you first need to determine the point. ***1) Plug in the value given for x, and then immerse it into original equation in order to get the point.*** ![](https://i.imgur.com/QGGxidu.png) ***2) Calculate the slope.*** ![](https://i.imgur.com/eh5qBrV.png) </div><img class="right"/></div> <div><img class="left"/><div class="alert gray"> Ok, and all of this is just to answer problem A, correct? </div></div> <div><div class="alert blue"> Yes sir, and from there you will be able to just plug in the values into an equation like: ![](https://i.imgur.com/WQVclIV.png) To answer part b, you simply need to input the approximate value given into the original equation's format. ![](https://i.imgur.com/whWQI8u.png) </div><img class="right"/></div> <div><img class="left"/><div class="alert gray"> Oh awesome! Thank you so much, this really helped! </div></div> --- To submit this assignment click on the Publish button ![Publish button icon](https://i.imgur.com/Qk7vi9V.png). Then copy the url of the final document and submit it in Canvas.