See the attached file for questioins

Find  if

Find an equation to the tangent line to the graph of

We are given the graphs of  and  below. Find , i.e. the derivative of  at 1.

Find the differential of  . Find  , an equation of the tangent line to the graph of

Two cars start moving from the same point. One travels east at a constant rate of 60 miles per hour and the other travels north at a constant rate of 70 miles per hour. Find the rate at which the distance between the cars is changing 1 hour later. You may round your answer to two digits after the decimal sign.

we can draw the following figure.

Find an equation of the tangent line to the graph of

Use Newton’s method to find the solution of

by using the following steps

Find,  where

Find,  where

Choose a guess point

Perform the iterations, until the values stabilize to the 8-dgits after the decimal sign.