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2 years ago

Look at points C and D on the graph:

Mathematics

1 answer:

zalisa [80]2 years ago

6 0

Answer:

7.07

Step-by-step explanation:

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Find the indefinite integral ∫((x^2)/(4x^3+9)) dx

Leya [2.2K]

Answer:

$\displaystyle \frac{1}{12} \ln( |{4x}^{ 3} + 9|) + \rm C$

Step-by-step explanation:

we would like to integrate the following indefinite integral:

$\displaystyle \int \frac{ {x}^{2} }{4 {x}^{3} + 9} dx$

in order to integrate it we can consider using u-substitution also known as the reverse chain rule and integration by substitution as well

we know that we can use u-substitution if the integral is in the following form

$\displaystyle \int f(g(x))g'(x)dx$

since our Integral is very close to the form we can use it

let our u and du be 4x³+9 and 12x²dx so that we can transform the Integral

as we don't have 12x² we need a little bit rearrangement

multiply both Integral and integrand by 1/12 and 12:

$\displaystyle \frac{1}{12} \int \frac{ 12{x}^{2} }{4 {x}^{3} + 9} dx$

apply substitution:

$\displaystyle \frac{1}{12} \int \frac{ 1}{u} du$

recall Integration rule:

$\displaystyle \frac{1}{12} \ln(|u|)$

back-substitute:

$\displaystyle \frac{1}{12} \ln( |{4x}^{ 3} + 9|)$

finally we of course have to add constant of integration:

$\displaystyle \frac{1}{12} \ln( |{4x}^{ 3} + 9|) + \rm C$

and we are done!

6 0

3 years ago

Can you please help me find the answer to the question?

brilliants [131]

To determine the distance between the forest ranger and the fire, simply use the trig. ratio

Let the distance between the forest ranger and the fire

we have: angle theta = 18 degree

adjacent=350 and opposite = x

The best trig. ratio to use is:

$\tan \theta=\frac{opposite}{adjacent}$ $undefined$

5 0

1 year ago

What is the answer to 2x45⁄ = 35

Evgesh-ka [11]

Answer:

x=-5

Step-by-step explanation:

subtract 45 from left side. 35-45=-10. divide 2 by -10.

3 0

4 years ago

Can someone help please

RUDIKE [14]

Answer:

<h2>Option: D</h2>

Step-by-step explanation:

Given, 

7,625,750,263

When estimated, 

8,000,000,000

= 8 × 1,000,000,000

$= 8 \times {10}^{9}$

8 0

3 years ago

Please please help me

Anna007 [38]

Answer: 5 Vertices

Step-by-step explanation: I believe if it had 4 faces and 8 edges it would have 5 vertices.

5 0

3 years ago