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):

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

4 0

3 years ago

Simplify the variable expression by evaluating it's numerical part m-13+42-6

goldfiish [28.3K]

ANSWER

$m + 23$

EXPLANATION

The given expression is

$m - 13 + 42 - 6$

We regroup the numerical parts to get;

$m + 42 - 6 - 13$

Now let us simplify the negative numbers.

$m + 42 - 19$

We now subtract 19 from 42 to get;

$m + 23$

We can't simplify further

Hence the simplest form is:

$m + 23$

3 0

3 years ago

The linear model d = 0.15+.35t represents the data found for the dive of a local swim team where t represents the duration of th

jek_recluse [69]

Answer:

B That if the dive was increased by 1 second, the depth would increase by about .35 feet.

Step-by-step explanation:

The coefficient of the variable represents the rate of change

4 0

2 years ago