31:["$","$1","6",{"children":" y "}] 38:T477,

D = (0, x, 0)

,32:["$","span","7",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"$38"}}] 33:["$","$1","8",{"children":" "}] 34:["$","span","9",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"con

0 < x < 3

."}}] 35:["$","$1","10",{"children":""}] 39:T168d,

\frac{1}{6} |\det(\vec{AB}, \vec{AC}, \vec{AD})|

36:["$","div",null,{"className":"mt-4 flex flex-col gap-4","children":[["$","div",null,{"className":"flex items-baseline gap-x-3 text-[15px] leading-relaxed sm:gap-x-4","children":[["$","span",null,{"className":"shrink-0 text-[13px] font-medium uppercase tracking-wide text-muted-foreground","children":"Datos"}],["$","ul",null,{"className":"flex min-w-0 flex-wrap items-baseline gap-x-7 gap-y-1 text-left","children":[["$","li","0",{"className":"min-w-0 max-w-full","children":["$","span",null,{"className":"whitespace-pre-line","children":[["$","$1","0",{"children":"Puede calcular el volumen del tetraedro de vértices "}],["$","span","1",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"

A, B, C

"}}],["$","$1","2",{"children":" y "}],["$","span","3",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"

D

"}}],["$","$1","4",{"children":" con la expresión "}],["$","span","5",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"$39"}}]]}]}]]}]]}],null,[]]}] 3a:Tad9,expresión

V(x) = \frac{1}{6}(-x^2 + 3x)

.37:["$","div",null,{"className":"flex flex-col gap-7","children":[["$","$1","0",{"children":[null,["$","div",null,{"className":"grid grid-cols-[minmax(1.25rem,max-content)_1.75rem_minmax(0,1fr)_0rem] gap-x-2 sm:grid-cols-[minmax(2.75rem,max-content)_2rem_minmax(0,1fr)_4rem] sm:gap-x-3","children":[["$","span",null,{"className":"font-heading text-xl font-semibold leading-snug text-primary","children":"a"}],["$","div",null,{"className":"col-span-3 grid grid-cols-subgrid","children":[null,[["$","div",null,{"className":"col-span-2 text-[17px] leading-relaxed","children":[["$","div",null,{"className":"flow-root","children":[["$","span",null,{"className":"whitespace-pre-line","children":[["$","$1","0",{"children":"Compruebe que el volumen del tetraedro viene dado por la "}],["$","span","1",{"className":"whitespace-nowrap","dangerouslySetInnerHTML":{"__html":"$3a"}}],"$L3b"]}],"$L3c"]}],"$L3d"]}],"$L3e"],null]}]]}]]}],"$L3f"]}]