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Author Question: Calculate dxdz, where M is the surface given by z = (x2 + y2)3/2, 0 z 1, using the following ... (Read 45 times)

ishan

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Question 1

Let  x = (x1, x2, x3) = (u1, u2, ), J(u) = . Find   det( J(u)T J(u)).
◦ 1
◦ du1du2
du1du2
du1du2


Question 2

Calculate dx∧dz, where M is the surface given by z = (x2 + y2)3/2, 0 ≤  z ≤  1, using the following parametrizations :
(i) (x, y, z) = p(u1, u2) = (u1cos(u2), u1sin(u2)  )
(ii) (x, y, z) = p(u1, u2)= ( u2, u1, (+ )3/2)
(i) (ii) 0

(i) (ii) -

(i) 6π(ii) -

(i) - (ii)

(i) (ii) -


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Marked as best answer by ishan on May 27, 2021

Zebsrer

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Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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ishan

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Reply 2 on: May 27, 2021
Thanks for the timely response, appreciate it


juliaf

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Reply 3 on: Yesterday
:D TYSM

 

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