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Home Chegg.com X (4) Mathematics I Michigan X Secure h ps://ww2.math msu.edu /webwork2/mt 24 ss 17 Hw07/9/? key 3998ffalcae7810d212d56b66ad3a38ReffectiveUser perrytr1&user; perrytr1 WeBWorK. MATHEMATICAL ASSOCIATION OF AMERICA webwork/mth 124 7 76260 07 9 Hw07: Problem 9 Problem User Settings Grades point) Consider f(z) 5-er A. Find the siope of the line tangent to the graph of fat the point where the graph crosses the r-axis. Problem 2 B. Find the equation of the ine tangent to the curve at this point Problem 4 Problem 5 Problem Problem 7 Note: You can eam partial credit on this problem. Problem Show me another Problem 10 have attempted this problem 0 times You have 15 attempts remaining. Problem 12 Problem 14 tha Iww-version 2. The WebWork Froject perry 1. Log Out A 1 5:22 PM 3/4/2017

Explanation / Answer

given f(x)=5-ex

A) graph crosses x axis

=>f(x)=0

5-ex=0

=>x=ln(5)

f(x)=5-ex

differentiate with respect to x

f '(x)=0-ex

f '(x)=-ex

slope of tangent line,m=f '(ln(5))

slope of tangent line,m=-e(ln(5))

slope of tangent line,m=-5

B)now equation of tangent at (ln(5) ,0) with slope -5 is

y-0=-5(x-ln(5))

y=-5x+(5ln(5))

so the equation of tangent is y=-5x+(5ln(5))

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