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Naddika [18.5K]
3 years ago
9

Do the ratios 6:3 and 8:4 form a proportion?

Mathematics
1 answer:
Serhud [2]3 years ago
6 0

Answer:

yes

Step-by-step explanation:

6:3 and 8:4

6:3

Divide by 3

6/3: 3/3

2:1

8:4

Divide by 4

8/4: 4/4

2:1

They are the same so they form a proportion

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Use chain rule to find dw/dt w=ln(x^2 + y^2 + z^2)^(1/2) , x=sint, y=cost, z=tant
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The chain rule states that

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Since \ln(x^2+y^2+z^2)^{1/2}=\dfrac12\ln(x^2+y^2+z^2), you have

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and

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Also, since x^2+y^2+z^2=\sin^2t+\cos^2t+\tan^2t=1+\tan^2t=\sec^2t, the derivative is

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