Question

Bantu no 1 sama 2 kak. fasttt:) pake cara

Answer 1

1) k = 200  --> k = 2(p+l)
shngga
2 (p+l) = 200
   p+l = 100  --> p = x, l = y
   x+y = 100
       y = 100-x

a. L = x.y
   = x (100-x)
   = 100x - x²

b. L max --> L' = 0
                    100-2x = 0
                           2x = 100
                             x = 50
      
    L max = 100(50) - 50²
               = 5000-2500
               = 2500m² 

2) a. Titik potong sb x --> f(x) = 0
          2x²+4x+7 = 0
          2x² +4x    = -7
            x² + 2x   = -7/2
           x²+2x+1² = -7/2+1²
           (x+1)² = - 5/2
            x+1 = √-5/2   atau x+1 = -√-5/2
                x = -1+ √5/2 i    atau   x = -1 - √5/2 i

           (-1+√5/2 i , 0)   dan (-1 - √5/2 i , 0)
  
      titik potong sb y ---> x = 0
         2(0)²+4(0)+7 = 7 -->  (0, 7)

   b. xs = -b/2a = -4/2(2)
            = -1

   c. yp = 2(-1)²+4(-1)+7
           = 2-4+7
           = 5
       titik puncak (-1,5)