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photoshop1234 [79]
3 years ago
8

What is the nth derivative of sin^3x?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0
Using the chain rule.

<span><span>sin^3</span>(x) = [sin(x)<span>]^3

</span></span><span><span>d/<span>dx</span></span>[sin(x)<span>]^3</span>∗<span>d/<span>dx</span></span>[sin(x)]

</span>d/dx sinx = cosx 
d/dx<span> cosx = -sinx </span>
d/dx<span> (-sinx) = -cosx </span>
d/dx <span>(-cosx) = sinx
back to where we started from!!! </span>
So,
repeat repeat repeat !!
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Answer:

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Step-by-step explanation:

4x4=16

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2 years ago
I have a question that says " jada has read 3/5 of a book. She has read 75 pages so far. How many pages are in the whole book?"
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Answer and Step-by-step explanation:

To solve, we would multiply by the reciprocal of the portion Jada has read, and multiply that number to 75.

The reciprocal means the the value, but flipped, so \frac{3}{5} will become \frac{5}{3}.

Now we do 75 times \frac{5}{3}/

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3 years ago
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Step-by-step explanation:

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The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

Step-by-step explanation:

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.  

The confidence interval is given by

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The term t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) is known as margin of error.

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The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).

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