The value of m+n, Mathematics

Assignment Help:

Every point (x,y) on the curve y=log2 3x is transferred to a new point by the following translation (x',y')=(x+m,y+n), where m and n are integers. The set of (x',y') form the curve y=log2(12x-96). What is the value of m+n?

 

Solution) we have x''=x+m =>m=x''-x
and y'' =y+n =>n=y''-y
hence m+n=(x''+y'') - (x+y)
taking y''=y=1 we get m+n= x''-x
putting y=1 in y=log2 3x.... we get x=2/3
putting y''=1 in y''=log2 (12x''-96)... we get x''=49/6
Hence m+n= x''-x=49/6 - 2/3
                          =45/6=15/2
hence m+n= 15/2 (ANS).


Related Discussions:- The value of m+n

Find out a particular solution to equation, Example: Find out a particular...

Example: Find out a particular solution to y'' - 4y' - 12 y = 3e 5t Solution The point here is to get a particular solution, though the first thing that we're going to

Find solution manual, i need solution manual of "calculus and analytic geom...

i need solution manual of "calculus and analytic geometry thomas 6th edition book "

How many solutions are there for differential equation, If a differential e...

If a differential equation does have a solution how many solutions are there? As we will see ultimately, this is possible for a differential equation to contain more than one s

Estimate how much work is completed in stretching, A spring has a natural l...

A spring has a natural length of 20 Centimeter. A 40 N force is needed to stretch and hold the spring to a length of 30 Centimeter. How much work is completed in stretching the spr

The multiplication algorithm, THE MULTIPLICATION ALGORITHM :  Some Class 3...

THE MULTIPLICATION ALGORITHM :  Some Class 3 children in a nearby school had been taught the standard multiplication. Algorithm, and had even done reasonably well in the tests bas

Help me help me!, A 65 ohm resistor is connected to a power supply , a curr...

A 65 ohm resistor is connected to a power supply , a current of 2.4 amperes is drawn. what is the output voltage?

Using two variables, Leo works at the Bagel Shop after school and on Saturd...

Leo works at the Bagel Shop after school and on Saturdays. He is paid $4.00 per hour after school and $5.00 per hour on Saturday. Last week Leo worked a total of 12 hours and made

Ratio and proportion, find the ratio of each of the following in simplest f...

find the ratio of each of the following in simplest form 1] 9 months to 7 by 4

Ecercises, ne nje tabak letre me permasa 100cm dhe 55cm nje nxenes duhet te...

ne nje tabak letre me permasa 100cm dhe 55cm nje nxenes duhet te ndertoje nje kuboide me permasa 20cm,25cm,40cm. a mund ta realizoje kete, ne qofte se per prerjet dhe ngjitjet humb

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd