An fm radio station broadcasts at a frequency of 91 mhz . part a what inductance should be paired with a 9.0 pf capacitor to build a receiver circuit for this station?

It's not clear exactly how you intend to use an ' L ' and a ' C ' in a
receiver circuit.

Perhaps you just want a simple resonant 'tank', so that the voltage
across it peaks at 91 MHz. Then you just want to know what parallel
L-C is resonant at 91 MHz.

Without resistance to complicate things, the resonant frequency
of a parallel L-C is

f = 1 / [ 2π √(LC) ].

Before we get tangled up in this thing,
let's just solve it for ' L ' :
Multiply each side by √(LC), then divide each side by f ,
and then it says

√(LC) = 1 / (2π f)

Divide each side by √C :

√L = 1 / 2πf√C

then square each side:

L = 1 / (4 · π² · f² · C)

and now we can easily go ahead and find ' L '.

L = 1 / (4 · π² · 91² · 10¹² · 9 · 10⁻¹²)

When I stuff that through my calculator, I get

L = 0.34 microhenry

Iread this book last year so take this with a grain of salt.gene jumps from the tree to compete with finny due to the fact that gene is always trying to do better than finny. he is put under the grasp of peer pressure due to finny almost forcing him to do this. ever since he first jumped finny kept pressuring him to jump since he thought gene enjoyed jumping.rather than uses this answer you should probably just reread chapters 3-4