Solve using the linear combination method (show work) 4 − 9 = 1 −4 + 6 = −2

Kobotan [32]

It’s 89% i believe sorry if i am wrong

7 0

3 years ago

For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th

alexira [117]

Answer:

The inner function is $h(x)=4x^2 + 8$ and the outer function is $g(x)=3x^5$ .

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

Step-by-step explanation:

A composite function can be written as $g(h(x))$ , where $h$ and $g$ are basic functions.

For the function $f(x)=3(4x^2+8)^5$ .

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have $4x^2+8$ inside parentheses. So $h(x)=4x^2 + 8$ is the inner function and the outer function is $g(x)=3x^5$ .

The chain rule says:

$\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)$

It tells us how to differentiate composite functions.

The function $f(x)=3(4x^2+8)^5$ is the composition, $g(h(x))$ , of

outside function: $g(x)=3x^5$

inside function: $h(x)=4x^2 + 8$

The derivative of this is computed as

$\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4$

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

3 0

4 years ago

Find the slope of the line that passes through (23,-3) and (81,91)

laiz [17]

Answer: m = 94 / 58 = 47 / 29 = 1.62069

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

G(n)= 3n+5 h(n)= 4n-5 Find (g•h)(n)

Paul [167]

Answer:nothing at all

Step-by-step explanation:

Blah

5 0

3 years ago

13 people fit comfortably in a 5 foot by 5 foot area. Use this value to estimate the size of a crowd that is 5 feet deep on one

dangina [55]

Answer:

There are 203069 people in the crowd

Step-by-step explanation:

The first step in solving this problem is to ensure that we are working with the same units throughout the solution process. To do this, we will have to convert 4 miles to feet. (This is because every other unit is in feet).

Note: ( 1 mile =5280 feet)

4 miles = 21120 feet.

The next step is to calculate the area that the entire parade is occupying. This can be done by multiplying the length of the parade by the breadth. In this case, it will be 21120ft X 5 ft = 105600 square feet.

We can now at this point, find the area occupied by only one person.

if 13 people occupy 25 square feet (5ft X5 ft)

1 person will occupy 25/13 = 1.92 square feet

We can finally get the number of people in the crowd by multiplying the area occupied by the whole crowd by the area of one person. This will be

105600 X 1.92= 203069 people in the crowd

8 0

4 years ago