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3 years ago

Can someone please help me with this I'm on a time limit

Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

5 0

2/7(2s + 3) =
(2/7)2s + (2/7)3 =

4/7s + 6/7

Elan Coil [88]3 years ago

4 0

2/7(2s + 3)

2/7*2/1s + 2/7*3/1

4/7s + 6/7

Final Answer: 4/7s + 6/7

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Now:

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$\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr } } =\frac { 1 }{ 4\pi { r }^{ 2 } }$

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$\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi }{ \pi } \cdot \frac { 1 }{ { r }^{ 2 } }$

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

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