Si por cada bolsa de harina, 80 gr estan en buen estado 20 gr en mal estado. ¿Cuántos grs estaran n buen estado si compro 6 bolsas de harina? ¿Cuántos estaran en mal estado si compro 3 bolsas? PARA RESOLVERLO HAY QUE PLANTEAR UNA FUNCIÓN DISTINTA PARA RESPONDER CADA PREGUNT

Solve the following differential equations: \( \left(y^{4}+2 y\right) d x+\left(x y^{3}+2 y^{4}-4 x\right) d y=0 \).

Find the first four terms of the sequence given by the following. \[ a_{n}=2(4)^{n-1}, n=1,2,3 \ldots \]

2. Sea funa funcion cuadrática cuyo vértice se encuentra en el punto \( (2,-3) \). ¿Para qué valor de a distinto de 5 se cumple que \( f(10)=f(5+a) \) ? a) Para \( a=11 \) b) Para \( a=-5 \) c) Para \( a=-6 \) d) Para \( a=-11 \)

Suppose we want to choose 5 letters, without replacement, from 8 distinct letters. (a) How many ways can this be done, if the order of the choices is not taken into consideration? (b) How many ways can this be done, if the order of the choices is taken into consideration? \( \square \)

For the sequence \( a_{n}=2\left(a_{n-1}-2\right) \) and \( a_{1}=3 \), its first term is its second term is its third term is its fourth term is its fifth term is