find the angle between the curves r=alog(x) and r=(a÷log(x))
Answers
Step-by-step explanation:
Usage. log(x, base = exp(1)) logb(x, base = exp(1)) log10(x) log2(x) ...
Arguments. x. ...
Details. All except logb are generic functions: methods can be defined for them individually or via the Math group generic. ...
Value. A vector of the same length as x containing the transformed values. ...
S4 methods. ...
References. ...
See Also. ...
Aliases.
Answer:
from given question
alogx=a/logx
it implies (logx)²=1
therefore x=e
1.r=alogx
by applying log on both sides
logr=log(alogx)
by differentiating
1/r dr/dx=0+1/xlogx
cotpi1=1/xlogx
2.r=a/logx
logr=loga-log(logx)
1/r dr/dx= 0-1/xlogx
cotpi2=-1/alogx
tanpi1=xlogx tanpi2=-xlogx
tan(pi1-pi2)=tanpi1-tanpi2/1+tanpi1tanpi2
=e-(-e)/1+e(-e)
=2e/1-e²
pi1-pi2=tan^-1(2e/1-e²)