Emmapetrie8
Emmapetrie8 Emmapetrie8
  • 03-12-2018
  • Mathematics
contestada

Please help!!!!! And show all working out!!!

Please help And show all working out class=

Respuesta :

jimrgrant1 jimrgrant1
  • 03-12-2018

Answer:

y = x³ - 4x² + 27

Step-by-step explanation:

given [tex]\frac{dy}{dx}[/tex] = 3x² - 8x , then

y = ∫(3x² - 8x) dx

integrate each term using the power rule

∫(a[tex]x^{n}[/tex]) = [tex]\frac{a}{n+1}[/tex] [tex]x^{n+1}[/tex] : n ≠ - 1

y = x³ - 4x² + c ( c is the constant of integration )

to find c substitute (- 2, 3) into the equation

3 = (- 2)³ - 4(- 2)² + c = - 8 - 16 + c ⇒ c = 27

y = x³ - 4x² + 27


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