f.5 maths partial variation

2010-09-18 2:39 am
suppose z varies directly as x and inversely as y^2.
when x=y=4,z=2. when x=y=8, z= ????
點解個ANS係1?

回答 (1)

2010-09-18 3:09 am
✔ 最佳答案
z varies directly as x and inversely as y^2
=> z=kx/y^2, where k is a real number

when x=y=4,z=2:
2=k(4)/(4)^2
k=8

So, z=8x/y^2

When x=y=8, z=8(8)/8^2=1


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