Jawaban berupa lampiran
Jawabannya
p = 7
2p = 14 (C)
mohon maaf apabila ada kesalahan
Diketahui:
y = 2x-√(4x-p)
ymaks = 3
Ditanyakan:
2p
Jawab:
y = 2x - (4x-p)^(1/2)
ymaks = y' = 0
2 - (1/2)(4)(4x-p)^(-1/2) = 0
2 - 2/√(4x-p) = 0
2 = 2/√(4x-p)
2√(4x-p) = 2
√(4x-p) = 1
kuadratkan kedua ruas
4x-p = 1
4x = 1+p
x = (1+p)/4
ymaks = 2x - √(4x-p)
3 = 2((1+p)/4) - √(4((1+p)/4)-p)
3 = ((1+p)/2)- √(1+p-p)
3 = ((1+p)/2)-√1
3+1 = (1+p)/2
4 = (1+p)/2
8 = 1+p
8-1 = p
7 = p
Maka,
2p = 2(7) = 14 (C)
Mapel: Matematika
Kelas: 11
Materi: Turunan
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Jawaban berupa lampiran
Jawabannya
p = 7
2p = 14 (C)
mohon maaf apabila ada kesalahan
Diketahui:
y = 2x-√(4x-p)
ymaks = 3
Ditanyakan:
2p
Jawab:
y = 2x-√(4x-p)
y = 2x - (4x-p)^(1/2)
ymaks = y' = 0
2 - (1/2)(4)(4x-p)^(-1/2) = 0
2 - 2/√(4x-p) = 0
2 = 2/√(4x-p)
2√(4x-p) = 2
√(4x-p) = 1
kuadratkan kedua ruas
4x-p = 1
4x = 1+p
x = (1+p)/4
ymaks = 2x - √(4x-p)
3 = 2((1+p)/4) - √(4((1+p)/4)-p)
3 = ((1+p)/2)- √(1+p-p)
3 = ((1+p)/2)-√1
3+1 = (1+p)/2
4 = (1+p)/2
8 = 1+p
8-1 = p
7 = p
Maka,
2p = 2(7) = 14 (C)
Mapel: Matematika
Kelas: 11
Materi: Turunan