Algorithms - Numerical Methods

Card 0 of 48

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 4 times

First let's find the derivative of

$f'(x) = 9 $x^{8}$ + 7 $x^{6}$ + 4 $x^{3}$$

Now Newton's Method looks like.

Now plug in 4 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 4 times

First let's find the derivative of

$f'(x) = 7 $x^{6}$ + 4 $x^{3}$ + 1$

Now Newton's Method looks like.

Now plug in 4 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 3 times

First let's find the derivative of

$f'(x) = 9 $x^{8}$ + 6 $x^{5}$ + 3 $x^{2}$$

Now Newton's Method looks like.

Now plug in 3 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 4 times

First let's find the derivative of

$f'(x) = 7 $x^{6}$ + 4 $x^{3}$ + 1$

Now Newton's Method looks like.

Now plug in 4 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for $2 $x^{6}$ + $x^{2}$ + 53$ if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 2 times

First let's find the derivative of $2 $x^{6}$ + $x^{2}$ + 53$

$f'(x) = 12 $x^{5}$ + 2 x$

Now Newton's Method looks like.

Now plug in 2 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 3 times

First let's find the derivative of

$f'(x) = 7 $x^{6}$ + 4 $x^{3}$ + 3 $x^{2}$$

Now Newton's Method looks like.

Now plug in 3 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 2 times

First let's find the derivative of

$f'(x) = 7 $x^{6}$ + 6 $x^{5}$ + 2 x$

Now Newton's Method looks like.

Now plug in 2 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 2 times

First let's find the derivative of

$f'(x) = 7 $x^{6}$ + 4 $x^{3}$ + 2 x$

Now Newton's Method looks like.

Now plug in 2 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for $2 $x^{6}$ + $x^{2}$ + 80$ if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 2 times

First let's find the derivative of $2 $x^{6}$ + $x^{2}$ + 80$

$f'(x) = 12 $x^{5}$ + 2 x$

Now Newton's Method looks like.

Now plug in 2 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for $2 $x^{6}$ + $x^{4}$ + 34$ if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 4 times

First let's find the derivative of $2 $x^{6}$ + $x^{4}$ + 34$

$f'(x) = 12 $x^{5}$ + 4 $x^{3}$$

Now Newton's Method looks like.

Now plug in 4 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 4 times

First let's find the derivative of

$f'(x) = 9 $x^{8}$ + 6 $x^{5}$ + 4 $x^{3}$$

Now Newton's Method looks like.

Now plug in 4 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 2 times

First let's find the derivative of

$f'(x) = 7 $x^{6}$ + 4 $x^{3}$ + 2 x$

Now Newton's Method looks like.

Now plug in 2 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 4 times

First let's find the derivative of

$f'(x) = 9 $x^{8}$ + 7 $x^{6}$ + 4 $x^{3}$$

Now Newton's Method looks like.

Now plug in 4 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 4 times

First let's find the derivative of

$f'(x) = 7 $x^{6}$ + 4 $x^{3}$ + 1$

Now Newton's Method looks like.

Now plug in 4 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 3 times

First let's find the derivative of

$f'(x) = 9 $x^{8}$ + 6 $x^{5}$ + 3 $x^{2}$$

Now Newton's Method looks like.

Now plug in 3 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 4 times

First let's find the derivative of

$f'(x) = 7 $x^{6}$ + 4 $x^{3}$ + 1$

Now Newton's Method looks like.

Now plug in 4 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for $2 $x^{6}$ + $x^{2}$ + 53$ if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 2 times

First let's find the derivative of $2 $x^{6}$ + $x^{2}$ + 53$

$f'(x) = 12 $x^{5}$ + 2 x$

Now Newton's Method looks like.

Now plug in 2 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 3 times

First let's find the derivative of

$f'(x) = 7 $x^{6}$ + 4 $x^{3}$ + 3 $x^{2}$$

Now Newton's Method looks like.

Now plug in 3 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 2 times

First let's find the derivative of

$f'(x) = 7 $x^{6}$ + 6 $x^{5}$ + 2 x$

Now Newton's Method looks like.

Now plug in 2 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be

Use Newton's method to determine for if .

Tap to see back →

In order to solve this problem, we need to recall newton's method.

So we need to run this equation 2 times

First let's find the derivative of

$f'(x) = 7 $x^{6}$ + 4 $x^{3}$ + 2 x$

Now Newton's Method looks like.

Now plug in 2 for

Now we take this answer, and plug it back into the equation for

We keep doing this until, we get to

Below is the results of Newton's Method.

So our final answer will be