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Pilihlah seluruh fungsi $f:\\mathbb{R^2}\\to \\mathbb{R}$ yang memiliki nilai minimum.

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Nilai maksimum dari fungsi $f(x,y)=xy+x^2+y^2$ untuk $\\var{a^2}\\leq x^2+y^2\\leq \\var{2*a^2}$ adalah $\\ldots$.

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Vektor $\\langle \\var{b*a}, \\var{a}, \\var{-b*a} \\rangle$ tegak lurus bidang singgung hiperbola $\\var{b^2}x^2+y^2-\\var{b^2}z^2=\\var{b^2}$ di titik $A(x_0,y_0,z_0)$.

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Jika titik $A$ berada di atas bidang-$xy$, maka $\\var{b}(x_0+y_0+z_0)=\\ldots$.

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Kebakaran mengakibatkan suhu pada daerah $D=\\{(x,y)|x^2+y^2\\leq \\var{a^2}\\}$ mengikuti fungsi $T(x,y)=\\dfrac{\\simplify{{b}*(x^2+y^2+4)}}{x^2+y^2+1}$ (dalam $^\\circ C$).

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Pernyataan berikut yang benar adalah \$$\\ldots\$$.

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Ibu Meng mempunyai $3$ potong lidi dengan panjang sama, yaitu $\\var{a}$ cm. Beliau ingin membuat sebuah trapesium dari lidi-lidi tersebut dengan menambahkan sebuah lidi dengan panjang $b$ cm. Misalkan $A$ adalah luas trapesium yang terbentuk.

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Jika $A>k\\sqrt{3}$ cm$^2$, maka nilai $k$ terbesar yang mungkin adalah $\\ldots$.

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Nilai $b$ sehingga nilai $A$ maksimum adalah $\\ldots$.

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Nilai maksimum dari $A$ adalah $m\\sqrt{3}$ cm$^2$. Nilai $m$ adalah \$$\\ldots\$$.

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Waktunya 5 menit lagi ya.

Selamat datang!

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Silakan gunakan set soal ini dengan bijak. Kalian bisa mencoba set soal ini terus-menerus.

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Set soal ini dapat digunakan oleh siapapun secara gratis.

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Petunjuk pengerjaan soal:

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• Jawaban dapat dituliskan dalam bentuk desimal maupun pecahan.
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• Jika jawaban dituliskan dalam bentuk desimal, pisahkan dengan tanda titik dan bulatkan hingga dua angka di belakang titik. Contoh: ketik 0.67 untuk menjawab \$$\\frac{2}{3}\$$.
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• Jika jawaban dituliskan dalam bentuk pecahan, pisahkan pembilang dan penyebut dengan garis miring dan jawab dengan pecahan paling sederhana. Contoh: ketik 2/3 untuk menjawab \$$\\frac{2}{3}\$$.
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Jika ada kunci jawaban yang salah, kalian dapat memberitahu kami di Instagram @meongmeongproject atau OA Line @eog7710d.

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