Tutor profile: Sloane G.
Translate the following sentence: I would have gone to the market yesterday, but I was too busy with my parents' anniversary.
Iría al mercado ayer, pero estuvo demasiado ocupada con el aniversario de mis padres.
Find the inverse of f(x)=(4x+9)^1/2.
First, replace f(x) with y: y=(4x+9)^1/2 Then, switch the variables: x=(4y+9)^1/2 Solve for y: x^2=4y+9 x^2-9=4y (x^2-9)/4=y Finally, replace y with f^-1(x): f^-1(x)=(x^2-9)/4
Solve the differential equation dx/dy=1/(4x+3).
First we'll separate the variable on both sides: dx•(4x+3)=dy Then, take the integral of both sides: ∫dx•(4x+3)=∫dy This leads us to: 2x^2+3x=y
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