If w varies inversely as V and U varies directly as w3, Find the relationship between u and v given that u = 1, when v = 2

Assessment: JAMB UTME - Mathematics - 1983 Subject: General Mathematics

Question 1 Report

If w varies inversely as V and U varies directly as w3, Find the relationship between u and v given that u = 1, when v = 2

u =

\frac{8}{v^{3}}

v =

\frac{8}{u^{2} v^{3}}

u = 8v3

v = 8u2

Answer Details

W

α

\frac{1}{v}

u

α

w3
w =

\frac{k_{1}}{v}

u = k2w3
u = k2(

\frac{k_{1}}{v}

)3
=

\frac{k_{2} k_{1}^{2}}{v^{3}}

k = k2k1k2
u =

\frac{k}{v^{3}}

k = uv3
= (1)(2)3
= 8
u =

\frac{8}{v^{3}}

Read lesson note on Variation (WAEC)

Read lesson note on Change Of Subject Of A Formula/Relation (WAEC)

Change Of Subject Of A Formula/Relation

View Answer

Related Questions

Download The App On Google Playstore

Everything you need to excel in your exams

Green Bridge CBT Mobile App

Personalized AI Learning Chat Assistant

200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO

Over 3,900 Lesson Notes

Offline Support - Learn Anytime, Anywhere

Green Bridge Timetable

Literature Summaries & Potential Questions

Track Your Performance & Progress

In-depth Explanations for Comprehensive Learning