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Neo
  • Member for 11 years, 3 months
  • Last seen more than 1 year ago
  • Playa del Rey, Los Angeles, CA, United States
5 votes
1 answer
1k views

Prove that $\frac{\partial x}{\partial y} \frac{\partial y}{\partial z} \frac{\partial z}{\partial x} = -1$ and verify ideal gas law

4 votes
2 answers
10k views

Dimensions of a box of maximum volume inside an ellipsoid

4 votes
2 answers
172 views

Show $\langle x,\nabla f \rangle = pf(x)$

4 votes
1 answer
2k views

Using Cavalieri's Principle to find the volume of an ellipsoid

2 votes
1 answer
3k views

Show that Bessel function $J_n(x)$ satisfies Bessel's differential equation.

2 votes
0 answers
89 views

Answer Check: Show that $\int_{A\times B} h = \left( \int_Af \right) \left(\int_Bg \right)$ and as a corollary that $v(A\times B) = v(A)v(B)$

2 votes
1 answer
384 views

Product rule for inner products using the 3 conditions

2 votes
2 answers
973 views

Show vector (p-q) is orthogonal to the curve at q

1 vote
1 answer
74 views

Show that f '(a) exists for all a if f is linear

1 vote
1 answer
292 views

Laplacian(F) = (n-1/r)g'(r) + g''(r)

1 vote
2 answers
203 views

Show $X-Y $ is open and $ Y-X$ is closed in $R^n$

1 vote
3 answers
69 views

Answer Check: Show $L_1 = L_2$

1 vote
3 answers
1k views

Answer Check: Third degree taylor polynomial at the point (1,0,-1)

1 vote
2 answers
131 views

Multivariate proof using chain rule I think

1 vote
1 answer
52 views

Show that $f\varphi_A$ is contained in $D \cup \partial A$

1 vote
0 answers
102 views

show $v(A) \le v(B)$

1 vote
1 answer
272 views

prove $\int f \le \int g$

1 vote
2 answers
147 views

$\iiint_R (x^2+y^2+z^2)^\frac{3}{2}e^{-x^2-y^2-z^2}dV_{xyz}$

1 vote
1 answer
2k views

The volume of the region between two spheres and the upper nappe of a cone

1 vote
2 answers
2k views

Use Green's Theorem to compute the area inside the curve

1 vote
1 answer
3k views

Prove Leibniz' rule using three properties

1 vote
1 answer
445 views

Use change in variables and iterated integrals theorm to deduce Pappus' theorem

1 vote
1 answer
103 views

Show $\int_{\gamma}F \cdot N ds = \int_{\gamma} \omega $

1 vote
1 answer
66 views

Calculate $\int_\gamma\omega$, parameterization on $R^2 - 0$

0 votes
1 answer
395 views

Cylinder double integral with no top or bottom

0 votes
1 answer
41 views

show that$v(E) = a_1a_2a_3....a_nv(B^n)$

0 votes
1 answer
118 views

Show that $g$ is continuous using the fact that $f$ is unformily continuous

0 votes
1 answer
489 views

Show that $f+g,c*f$ is admissible and Show that the positive and negative parts of $f$ are admissible.

0 votes
1 answer
643 views

Representing a surface in $z = f(x,y)$ form near a point.

0 votes
1 answer
135 views

Prove directly from the definition of mapping that h is differentiable