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3 years ago

I don’t know if this is correct !!!!! Please help answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

5 0

Answer:

change up to down the rest is right

Step-by-step explanation:

hope I helped!!

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Indefinite integral need help pleaseeeeeee

tatiyna

Integrate indefinite integral:
$I=\int\frac{dx}{e^{2x}+3e^x+2}dx$

Solution:
1. use substitution $u=e^x$
=>
$du=e^xdx$
=>
$dx=\frac{du}{e^x}$
=>
$dx=\frac{du}{u}$
=>
$I=\int\frac{du}{u(u^2+3u+2)}du$
$=\int\frac{du}{u(u+2)(u+1)}du$
2. decompose into partial fractions
$\frac{1}{u(u+2)(u+1)}$
$=\frac{A}{u}+\frac{B}{u+2}+\frac{C}{u+1}$
where A=1/2, B=1/2, C=-1
$=\frac{1}{2u}+\frac{1}{2(u+2)}-\frac{1}{u+1}$
3. Substitute partial fractions and continue
$I=\int\frac{du}{2u}+\int\frac{du}{2(u+2)}-\int\frac{du}{u+1}$
$=\frac{log(u)}{2}+\frac{log(u+2)}{2}-log(u+1)}$
4. back-substitute u=e^x
$=\frac{log(e^x)}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}$
$=\frac{x}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}$

Note: log(x) stands for natural log, and NOT log10(x)

7 0

3 years ago

30 POINTS PLEASE HELP!!

Sedbober [7]

A polynomial p is graphed. What could be the equation of p?

3 0

4 years ago

Edward went to the grocery store and bought some bro pounds of vegetables the vegetables cost 1.50 per pound. If he bought 3.25

Natali5045456 [20]

The cost of each vegetable is €1.50 per pound

Edward bought 3.25 pounds of carrot.

So the cost of 3.25 pounds of carrots = 3.25 × 1.50 = €4.875

He also purchased $1\frac{2}{10}= 1\frac{2}{5} =\frac{6}{5}$ pounds of beet.

Quantity of beet purchased = 6/5 = 1.2 pounds

So the cost of beet shall be = 1.50 × 1.2 = €1.80

He purchased 0.95 pounds of Broccoli

So the cost of Broccoli shall be = 0.95 × 1.50 = €1.425

Total amount spent = 4.875 + 1.80 + 1.425 = €8.10

Edward spent €8.10 on vegetables.

7 0

3 years ago

Which of the following is not equal to sec⁡(-85°)?

MAVERICK [17]

-85 degrees in is the 4th quadrant so the cos and sec will be positive
sec is also positive in first quadrant so sec(85) will be equal to sec(-85)
Sec is is negative in 3rd quadrant so -sec(-95) will be same also.

sec 275 is in 3rd quadrant so will be negative so not equal
also sec(-95) will be same angle as sec 275

the last 2 options are not equal to sec(-85)

7 0

3 years ago

Read 2 more answers

During the winter of 2012–2013, Buffalo, New York received 22 inches of snow in 12 hours. Oswego, New York received 31 inches of

Virty [35]

Answer:

<em>Buffalo's snowfall rate is 1.83</em>

Step-by-step explanation:

<u>Rate of change</u>

It usually refers to how fast one quantity changes with respect to another, frequently time.

In our problem, we are given the information on two snowfall rates, one during the winter of 2012–2013 in Buffalo, New York, and the other in Oswego, New York. Buffalo received 22 inches of snow in 12 hours. It means the rate of change or ratio of snowfall in time is:

$\boxed{\displaystyle s_1=\frac{22}{12}=1.83}$

The snowfall rate received by Oswego is:

$\displaystyle s_2=\frac{31}{15}=2.07$

6 0

3 years ago