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3241004551 [841]
3 years ago
12

My attempts at solving this integral keep failing... I'd really appreciate some help :)

Mathematics
1 answer:
inysia [295]3 years ago
5 0
\bf \displaystyle \int \cfrac{csc^2(x)}{1+cot(x)}\cdot dx\\\\
-----------------------------\\\\
u=1+cot(x)\implies \cfrac{du}{dx}=-csc^2(x)\implies \cfrac{du}{-csc^2(x)}=dx\\\\
-----------------------------\\\\
\displaystyle \int\cfrac{csc^2(x)}{u}\cdot \cfrac{du}{-csc^2(x)}\implies -\int \cfrac{1}{u}\cdot du
\\\\\\
-ln|u|+C\implies -ln|1+cot(x)|+C
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Orlov [11]
<h3><u>given</u><u>:</u></h3>

base= 25 mm

height= 28 mm

<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>

the volume of the square pyramid.

<h3><u>solution</u><u>:</u></h3>

<u>volume =  {a}^{2}  \frac{h}{3}</u>

<u>v =  {25}^{2}  \frac{28}{3}</u>

<u>v = 5833.33333 {mm}^{3}</u>

<u>v = 5833.3 {mm}^{3}</u>

8 0
2 years ago
What is the area of this trapezoid HELP PLEASE
Zepler [3.9K]

Answer:

Step-by-step explanation:

The answer is 44

6 0
3 years ago
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tino4ka555 [31]

Answer:

Slope = -2

Step-by-step explanation:

You want to get it to the slope intercept form first.

2y = -4x + 3

Divide by 2

y = -2x + 3/2

Parallel means in the new slope intercept form there will still be -2x.

y = -2x + b (enter in points ( 0, 1.5 ) )

1.5 = 0 + b

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4 0
3 years ago
A coffee supply store waits until the orders for its special blend reach 100 pounds before making up a batch. Columbian coffee s
yan [13]
X - Columbian coffee ( in pounds),
y - Brazilian coffee ( in pounds );
x + y = 100
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----------------------------------------
x = 100 - y
8.85 ( 100 - y ) + 3.85 y = 6.55 * 100
855 - 8.55 y + 3.85 y = 655
- 5 y = - 230
y = ( - 230 ) : ( - 5 )
y = 46
x = 100 - 46
x = 54
Answer: 54 pounds of Columbian coffee and 46 pounds of Brazilian coffee should be used.
5 0
3 years ago
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Bumek [7]

Answer:

d.5/6

Step-by-step explanation:

2/3÷4/5

2/3×5/4

5/6

6 0
3 years ago
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