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navik [9.2K]
2 years ago
15

Expand & simplify 5 ( p + 6 ) − 5 ( p − 2 )

Mathematics
1 answer:
HACTEHA [7]2 years ago
8 0

Answer: 0p + 40

Step-by-step explanation:

5p + 30 - 5p + 10

0p + 40

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Answer:

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Step-by-step explanation:

Let, \text{sin}^{-1}(\frac{x}{6}) = y

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Therefore, from equation (1),

\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}

Or \frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}

At x = 4,

\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}

\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}

                   =\frac{1}{6\sqrt{\frac{36-16}{36}}}

                   =\frac{1}{6\sqrt{\frac{20}{36} }}

                   =\frac{1}{\sqrt{20}}

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