List questions from multivariable-calculus

Published on 16 Apr 2026 - 4:34

152

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To prove that the limit of a bi-variate function is nonexistent at a point

Published on 14 Apr 2026 - 23:39

82

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Determining $R$ so that the flux of the F field through S is maximum

Published on 11 May 2026 - 3:29

79

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Find the total mass and COM of a body

Published on 13 May 2026 - 22:26

102

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Finding limits of integration using spherical coordinates

Published on 11 May 2026 - 7:37

85

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Solve $\int_{[0,\infty[}(\int_{[0,\infty[} e^{-xy}\sin{x} \sin{y} d\lambda(x)) d\lambda(y)$

Published on 15 May 2026 - 12:45

189

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Global extrema of $f(x,y)= e^{-4x^2-9y^2}(2x+3y)$ on the ellipse $4x^2+9y^2 \leq 72$

Published on 16 Apr 2026 - 1:39

210

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Separability of a function, preservation only under linear transformation

Published on 10 May 2026 - 14:50

173

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Are all conditions met for Fubini? Needed to work out $\lim_{R\to \infty}\int_{[0,R]}\frac{\sin{x}}{x}d \lambda (x)$

Published on 15 May 2026 - 12:47

82

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Use of Tonelli's Theorem to calculate $\int_{[0,\infty[} (\int_{[0,\infty[}xe^{-x^{2}(1+y^{2})}d\lambda (x)) d\lambda (y)$

Published on 15 May 2026 - 12:46

45

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Proof differentiable function

Published on 10 Apr 2026 - 17:02

1.7k

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Explicitly calculate shape operator for graph of $f(x,y)=xy$

Published on 24 Apr 2026 - 13:01

249

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Constrained Optimization Geometry Confusion

Published on 11 May 2026 - 3:46

66

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Calculate the area of $z=\frac{x^2}{2}+\frac{y^2}{2}\;$ that is enclosed by $x^2+\frac{y^2}{4}=1$

Published on 15 May 2026 - 21:58

66

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Double Integral unequal after switching $dy$ and $dx$. Exact reasoning required

Published on 15 May 2026 - 12:46

List Question

Find surface area of a portion of a planar surface

To prove that the limit of a bi-variate function is nonexistent at a point

Determining $R$ so that the flux of the F field through S is maximum

Find the total mass and COM of a body

Finding limits of integration using spherical coordinates

Solve $\int_{[0,\infty[}(\int_{[0,\infty[} e^{-xy}\sin{x} \sin{y} d\lambda(x)) d\lambda(y)$

Global extrema of $f(x,y)= e^{-4x^2-9y^2}(2x+3y)$ on the ellipse $4x^2+9y^2 \leq 72$

Separability of a function, preservation only under linear transformation

Are all conditions met for Fubini? Needed to work out $\lim_{R\to \infty}\int_{[0,R]}\frac{\sin{x}}{x}d \lambda (x)$

Use of Tonelli's Theorem to calculate $\int_{[0,\infty[} (\int_{[0,\infty[}xe^{-x^{2}(1+y^{2})}d\lambda (x)) d\lambda (y)$

Proof differentiable function

Explicitly calculate shape operator for graph of $f(x,y)=xy$

Constrained Optimization Geometry Confusion

Calculate the area of $z=\frac{x^2}{2}+\frac{y^2}{2}\;$ that is enclosed by $x^2+\frac{y^2}{4}=1$

Double Integral unequal after switching $dy$ and $dx$. Exact reasoning required

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