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

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)

Variation

Change Of Subject Of A Formula/Relation

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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

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