3 years ago

5th Grade Math

1 answer:

6 0

516 is the dividend, 3 is the divisor, 172 would be the quotient.

3 goes into 5 once with a 2 remainder, that 2 turns into 21 because of the 1 in 516 which 3 goes into seven times with a remainder of zero turning into 6, which 3 goes into twice, making the quotient 172.

172 times 3 is 516

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Help!!! I don’t understand how to do this

lidiya [134]

Answer:

$f^{(k)}(x)=\dfrac{17k!(-1)^k}{(x-9)^{k+1}}$

Step-by-step explanation:

The question presumes you have access to a computer algebra system. The one I have access to provided the output in the attachment. The list at the bottom is the list of the first four derivatives of f(x).

The derivatives alternate signs, so (-1)^k will be a factor.

The numerators start at 17 and increase by increasing factors: 2, 3, 4, indicating k! will be a factor.

The denominators have a degree that is k+1.

Putting these observations together, we can write an expression for the k-th derivative of f(x):

$\boxed{f^{(k)}(x)=\dfrac{17k!(-1)^k}{(x-9)^{k+1}}}$