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dimulka [17.4K]
3 years ago
12

Help meeeee. what does x equal?

Mathematics
2 answers:
Ainat [17]3 years ago
7 0

Answer:

x = 25 \degree \: (alternate \: interior \: angles)

kati45 [8]3 years ago
7 0

Answer:

25 degrees because the angle right on the other side is also 25 degrees

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Hi. I need help with these questions (see image)<br>Please show workings.<br>​
pantera1 [17]

Answer:

see explanation

Step-by-step explanation:

Using the chain rule

Given

y = f(g(x)), then

\frac{dy}{dx} = f'(g(x))  × g'(x) ← chain rule

and the standard derivatives

\frac{d}{dx} (log_{a} x ) = \frac{1}{xlna} , \frac{d}{dx}(lnx) = \frac{1}{x}

(a)

Given

y = log_{a}\sqrt{(1+x)}

\frac{dy}{dx} = \frac{1}{lna\sqrt{(1+x)} } × \frac{d}{dx} ((1+x)^{\frac{1}{2} }

   = \frac{1}{lna\sqrt{(1+x)} } × \frac{1}{2} (1+x)^{-\frac{1}{2} } × \frac{d}{dx} (1 + x)

   = \frac{1}{lna\sqrt{(1+x)} } × \frac{1}{2\sqrt{(1+x)} } × 1

   = \frac{1}{2lna(1+x)}

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(b)

Given

y = ln sinx

\frac{dy}{dx} = \frac{1}{sinx} × \frac{d}{dx}(sinx)

   = \frac{1}{sinx} × cosx

   = \frac{cosx}{sinx}

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5 0
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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