wman2216
wman2216 wman2216
  • 07-04-2020
  • Mathematics
contestada

hope someone help.me​

hope someone helpme class=

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DeanR
DeanR DeanR
  • 07-04-2020

x = r sin θ cos Ф

x² = r² sin² θ cos² Ф

y = r sin θ sin Ф

y² = r² sin² θ sin² Ф

z = r cos θ

z² = r² cos²  θ

x² + y² + z²

= r² sin² θ cos² Ф  +  r² sin² θ sin² Ф +  r² cos²  θ

= r² sin² θ (cos² Ф + sin² Ф) +  r² cos²  θ

= r² sin² θ + r² cos²  θ

= r² (sin² θ + cos²  θ)

= r²       √

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