Normal line to the curve y=ln(2x+a) at x=1 is perpendicular to x-4y+2 = 4ln3. Find the value of a.

Question

20-08-2016
Mathematics

Answered

Normal line to the curve y=ln(2x+a) at x=1 is perpendicular to x-4y+2 = 4ln3. Find the value of a.

Verified Answer :

Related Questions

What is the name of the process plants use to make the energy food they need A symbiosis B respiration C pollination D photosynthesis Please help

Xiaos teacher asked him to rewrite the sum 6090 as the product of the GCF of the two numbers and a sum Xiaos wrote 320 30 What mistake did Xiao make How should

How is a bears fur related to homeostasisplease help HW

Distrust of a single leader with absolute power a feeling based on bad experiences under the constraints of the British monarchy emerged as an important theme f

Which description best fits the Neolithic Revolution 1 moving from urban centers to rural centers 2 using petrochemical fertilizers and pesticides to increase p

2 Which of the following prewriting activities can help you generate ideas for an essay written for class

True or false An unabridged dictionary contains all of the words in the English language A true B false

what mission does manifest destiny express

the mean of the original dataset and the mean of the new dataset after 70 is removed Round your answers to one decimal place The mean of the original dataset is

caylus caylus · Answer 1 · 2016-08-20T08:42:33-04:00

caylus caylus

20-08-2016

Hello,

The normal perpendicular to x-4y+2=4ln(3) or y=(x+2-4ln(3))/4
has as slope -4

So y'=(ln(2x+a))'=1/(2x+a) *2 if x=1 , y'=1/(2+a)
Thus
1/(2+a)=-4 ==>2+a=-1/4==>a=-1/4-2==>a=-9/4

Answer Link