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Diberikan lamina $D$ berbentuk cakram satuan dengan pusat $(0,\\var{a})$. Suhu lamina tersebut di titik $(x,y)$ dinyatakan oleh fungsi $T(x,y)=xy^2$.

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Titik terpanas lamina tersebut berada pada $\\left( \\dfrac{\\sqrt{5}}{c_1},\\dfrac{c_2}{3} \\right)$ dengan $c_1+c_2=\\ldots$.

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Suhu terdinginnya adalah $-\\dfrac{a^{5/2}}{b^3}$ dengan $a$ dan $b$ bilangan asli dan pecahan $\\dfrac{a^2}{b^3}$ sudah dalam bentuk paling sederhana. Maka $a+b=\\ldots$.

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Suhu rata-rata lamina $D$ dapat dihitung dengan menggunakan integral lipat, yaitu jumlahan seluruh suhu di seluruh titik pada $D$ dibagi dengan luas lamina tersebut, yakni

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$T_{\\text{avg}}=\\displaystyle \\dfrac{1}{A(D)} \\iint_D T(x,y)\\, dA.$

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Suhu rata-ratanya adalah $T_{\\text{avg}}=\\dfrac{\\simplify{{a}m^2}}{n\\pi}$ dengan $m$ dan $n$ bilangan asli dan pecahan $\\dfrac{m^2}{n}$ sudah dalam bentuk paling sederhana. Maka $m+n=\\ldots$.

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