#eqn_1_img{
max-width: 100%;
background-size: contain;
}
 
#eqn_1_img{
height: 16.0px;
width: 84.0px;
}

#eqn_2_img{
max-width: 100%;
background-size: contain;
}
 
#eqn_2_img{
background-image: url("eqn2.png");
background-repeat: no-repeat;
height: 48.0px;
width: 357.6px;
}

#eqn_3_img{
max-width: 100%;
background-size: contain;
}
 
#eqn_3_img{
background-image: url("eqn3.png");
background-repeat: no-repeat;
height: 48.0px;
width: 772.8px;
}

#eqn_3_img{
max-width: 100%;
background-size: contain;
}
 
@media screen and (max-width: 1200px) {
#eqn_3_img{
background-image: url("eqn3_med.png");
height: 88.0px;
width: 528.8px;
}
}

@media screen and (max-width: 760px) {
#eqn_2_img{
background-image: url("eqn2_narrow.png");
height: 72.0px;
width: 307.2px;
}
}

@media screen and (max-width: 760px) {
#eqn_3_img{
background-image: url("eqn3_narrow.png");
height: 132.8px;
width: 292.0px;
}
}

#inline_eqn1{
height: 8.1px;
width: 9.9px;
margin-top: -.40000000000000000000px;
margin-bottom: -.40000000000000000000px;
vertical-align: middle;
transform: translateY(.40000000000000000000px);
}

#inline_eqn2{
height: 18.9px;
width: 96.3px;
margin-top: .27500000000000000000px;
margin-bottom: .27500000000000000000px;
vertical-align: middle;
transform: translateY(-.27500000000000000000px);
}

#inline_eqn3{
height: 8.1px;
width: 9.9px;
margin-top: -2.17187413096394766378px;
margin-bottom: -2.17187413096394766378px;
vertical-align: middle;
transform: translateY(2.17187413096394766378px);
}

#inline_eqn4{
height: 18.9px;
width: 97.2px;
margin-top: .86562702775078878452px;
margin-bottom: .86562702775078878452px;
vertical-align: middle;
transform: translateY(-.86562702775078878452px);
}