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Matematika
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Pertanyaan
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1 Jawaban
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1. Jawaban DB45
Persamaan kurva...
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d²y/dx² = y" = 3 - 4x melalui (1,4) ejajar 2x + y + 7= 0
gradien gs 2x+y+ 7 = 0 ---> m = -2
m= y' = ∫ y" dx = ∫ 3-4x dx
m = 3x - 2x² + c
melalui (x,y)= 1,4 --> x = 1
m = 3(1) - 2(1)² + c = -2
3 - 2 + c = -2
1 + c= -2
c = -3
y' = 3x - 2x² - 3
y =∫ y' dx = ∫ 3x - 2x² - 3
y= 3/2 x² - 2/3 x³ - 3x + c melalui (x,y) = (1,4)
4 = 3/2 (1)² - 2/3(1)³ - 3(1) + c
4 = 3/2 - 2/3 +3 + c ...kalikan 6
24 = 9 - 4 +18 + 6c
24 = 23 + 6c
c = 1/6
persamaan y = -2/3 x³ + 3/2 x² - 3x + 1/6
atau y = 1/6 ( -4x³ + 9x² - 18 x + 1)