Question

Implicit Function Theorem to solve $\frac{\partial u}{\partial x}$ when $f\big(x,y,u(x,y),v(x,y)\big)$ mapped to $\mathbb{R^2}$

score 92 · Answer 1 · 2026-04-22 21:25:57

92

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Implicit Function Theorem to solve $\frac{\partial u}{\partial x}$ when $f\big(x,y,u(x,y),v(x,y)\big)$ mapped to $\mathbb{R^2}$

Published on 22 Apr 2026 - 21:25

score 111 · Answer 2 · 2026-04-11 23:54:57

111

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Differentiation of solution to time-dependent system of equations: Problem 2-15(c) from Spivak's Calculus on Manifolds

Published on 11 Apr 2026 - 23:54

score 6.3k · Answer 3 · 2026-04-14 11:57:05

6.3k

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Area of Cardioid $r=1+\sin(\theta)$ Using Green's Theorem

Published on 14 Apr 2026 - 11:57

score 295 · Answer 4 · 2026-04-13 20:58:55

295

Views

Improper/extended multiple integral and change of variables

Published on 13 Apr 2026 - 20:58

score 64 · Answer 5 · 2026-04-16 09:09:53

64

Views

Using differentials and given $h=f\circ\vec g$ find $h(1.02,1.99)$

Published on 16 Apr 2026 - 9:09

score 835 · Answer 6 · 2026-04-11 05:40:56

835

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Chain Rule for Surface Differentials

Published on 11 Apr 2026 - 5:40

score 60 · Answer 7 · 2026-04-16 08:05:37

60

Views

Maxmizing some tiny rectangles out of a larger rectangle

Published on 16 Apr 2026 - 8:05

score 311 · Answer 8 · 2026-04-10 01:52:49

311

Views

Problem with line integral

Published on 10 Apr 2026 - 1:52

score 347 · Answer 9 · 2026-04-29 12:56:03

347

Views

polar coordinates for integral bounds with parallelogram as region

Published on 29 Apr 2026 - 12:56

score 307 · Answer 10 · 2026-04-11 19:33:34

307

Views

Can we prove that $\overline{z}^2$ has no antiderivative without using Morera's Theorem?

Published on 11 Apr 2026 - 19:33

score 356 · Answer 11 · 2026-03-25 11:10:47

356

Views

Must a positively oriented path be simple, closed and piecewise smooth?

Published on 25 Mar 2026 - 11:10

score 103 · Answer 12 · 2026-04-14 07:01:31

103

Views

Why is $\mathbf r(t) \times \mathbf r'(t)$ constant, with $\mathbf r(t): \mathbb R\to\mathbb R^3$?

Published on 14 Apr 2026 - 7:01

score 81 · Answer 13 · 2026-04-22 21:34:39

81

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For $G:\mathbb{R^3} \to \mathbb{R}$, and $F:\mathbb{R^2} \to \mathbb{R}$ show $G(x,y,z)=F(x+2y+3z-1,x^3+y^2-z^2)=0$ can have $z=g(x,y)$

Published on 22 Apr 2026 - 21:34

score 64 · Answer 14 · 2026-03-25 23:34:43

64

Views

Implicit Differentiation- Related Rates

Published on 25 Mar 2026 - 23:34

score 111 · Answer 15 · 2026-04-09 20:03:16

111

Views

Is there any proof of cauchy formula for repeated integration without induction?

Published on 09 Apr 2026 - 20:03

List Question

Implicit Function Theorem to solve $\frac{\partial u}{\partial x}$ when $f\big(x,y,u(x,y),v(x,y)\big)$ mapped to $\mathbb{R^2}$

Differentiation of solution to time-dependent system of equations: Problem 2-15(c) from Spivak's Calculus on Manifolds

Area of Cardioid $r=1+\sin(\theta)$ Using Green's Theorem

Improper/extended multiple integral and change of variables

Using differentials and given $h=f\circ\vec g$ find $h(1.02,1.99)$

Chain Rule for Surface Differentials

Maxmizing some tiny rectangles out of a larger rectangle

Problem with line integral

polar coordinates for integral bounds with parallelogram as region

Can we prove that $\overline{z}^2$ has no antiderivative without using Morera's Theorem?

Must a positively oriented path be simple, closed and piecewise smooth?

Why is $\mathbf r(t) \times \mathbf r'(t)$ constant, with $\mathbf r(t): \mathbb R\to\mathbb R^3$?

For $G:\mathbb{R^3} \to \mathbb{R}$, and $F:\mathbb{R^2} \to \mathbb{R}$ show $G(x,y,z)=F(x+2y+3z-1,x^3+y^2-z^2)=0$ can have $z=g(x,y)$

Implicit Differentiation- Related Rates

Is there any proof of cauchy formula for repeated integration without induction?

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