Forwarded from Mathematics Spmnetic!™ 🔢 (Afiq)
Kepada batch 09 juga, good luck for your upcoming exams, especially spm 2026. Be ready with every subject, conquer the chapter, jangan belajar last minit, dengar cakap cikgu dan jangan skip sekolah/kelas tambahan
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Jason (5 Radium)
Photo
Let x=length of the rectangle
h = height of the rectangle
Black line = h/tan(60°) = (h√3)/3
Using Pythagoras' Theorem,
[(h√3)/3 + x]² + h² = 36
h²/3 + (2xh√3)/3 + x² + h² - 36 = 0
h²(4/3) + [(2x√3)/3]h + (x²-36) = 0
h = [-(2x√3)/3 + √[(4x²/3)-(16/3)(x²-36)]]/(8/3)
h = [-x√3 + 3√(48-x²)]/4
Area of the rectangle, A = xh = x([-x√3 + 3√(48-x²)]/4)
dA/dx = (72-3x²-x√(144-3x²))/(2√(48-x²))
At Maximum, dA/dx = 0
(72-3x²-x√(144-3x²))/(2√(48-x²)) = 0
72-3x²-x√(144-3x²) = 0
=> x=-6 or x=2√3
Max A = 6√3
h = height of the rectangle
Black line = h/tan(60°) = (h√3)/3
Using Pythagoras' Theorem,
[(h√3)/3 + x]² + h² = 36
h²/3 + (2xh√3)/3 + x² + h² - 36 = 0
h²(4/3) + [(2x√3)/3]h + (x²-36) = 0
h = [-(2x√3)/3 + √[(4x²/3)-(16/3)(x²-36)]]/(8/3)
h = [-x√3 + 3√(48-x²)]/4
Area of the rectangle, A = xh = x([-x√3 + 3√(48-x²)]/4)
dA/dx = (72-3x²-x√(144-3x²))/(2√(48-x²))
At Maximum, dA/dx = 0
(72-3x²-x√(144-3x²))/(2√(48-x²)) = 0
72-3x²-x√(144-3x²) = 0
=> x=-6 or x=2√3
Max A = 6√3
Jason (5 Radium)
Photo
day 1 of studying addmaths everyday...🔥🔥 make sure u do 3 questions atleast a day...
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Forwarded from Sembang Maths
Percayalah cakap saya, mula lah sekarang. Jangan tunggu saat akhir. Pesanan yang sama dari saya, sebab saya dah tengok pelbagai situasi pelajar saat2 last nak spm
👍10❤6
Forwarded from K.Y. Chan
Recently I saw a few videos talking about ambiguous case of the law of sine for solutions of triangle.
Question: When you are learning this topic, do you find it difficult to understand it? And why?
Question: When you are learning this topic, do you find it difficult to understand it? And why?
Anonymous Poll
29%
Easy to understand
26%
Hard to understand
45%
Know what to do, but do not understand the concept
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Forwarded from AddMath Spmnetic!™⚡️ (Jason (4 Radium))
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Given f(x) = 3x² − 12x + 5, what is the minimum value of f(x)?
Anonymous Quiz
56%
-7
15%
-5
22%
5
7%
7
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Kenapa B) −5 salah ❌
Terlupa darab 3 × 4 = 12. Ramai yang guna 10 instead of 12 masa buat complete the square
Terlupa darab 3 × 4 = 12. Ramai yang guna 10 instead of 12 masa buat complete the square