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If yvaries inversely with the square of xandx=3wheny=9, findywhenx=4.

Short Answer

Expert verified

The required answer isy=8116whenx=4.

Step by step solution

01

Step 1. Given information.

We are given two variables xandy here yvaries inversely with the square of x.

x=3andy=9

02

Step 2. Find y when x=4.

To find the value of yfirst we need to find the relation between xand y,

It is given that yvaries inversely with the square of x,we can write it as y=kx2, now put the given values,

y=kx29=k329·9=k81=k

Now we know that y=81x2, Find yforx=4:

y=81x2y=8142y=8116

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