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Dmitry_Shevchenko [17]
3 years ago
15

Find derivative: f(u) = arctan(u/(1+u)

Mathematics
1 answer:
VikaD [51]3 years ago
6 0
F ` ( x ) = 
\frac{1}{1+ \frac{u ^{2} }{(1+u) ^{2} } } * ( \frac{u}{1+u})`= \\ = \frac{1}{ \frac{(1+u) ^{2}+ u^{2}  }{(1+u) ^{2} } }  *  \frac{(u)`(1+u)-(1+u)` u}{(1+u) ^{2} } = \\ = \frac{(1+u) ^{2} }{(1+u) ^{2}+u ^{2}  } * \frac{1+u-u}{(1+u) ^{2} } = \\ = \frac{1}{1+2u+2u ^{2} }
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PLS HELP
Rzqust [24]
1+1=2!!

hope that helps
8 0
3 years ago
Read 2 more answers
PROBABILITY PROBLEM: Can anyone check my answers for this?
Julli [10]
A: it would be 2 fives outta 8 then he picked one more bill out so chances are 4 fives outta 16. making it 1/4 of a probability.
7 0
3 years ago
Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet. Approx
Hunter-Best [27]

Answer:

a) 50.24 ft²

b) 150.72 ft²

Step-by-step explanation:

Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet.

The distance across a circle is also called a diameter, Hence,

D = Diameter = 8 ft

The Area of a circle = πr²

r = Diameter/2 = 8ft/2 = 4ft

π = 3.14

Hence,

The Area of the circle = π × (4 ft)²

= 50.24 ft²

a) Approximately the amount of wall the circle will cover is 50.24 ft².

b) How much area will he cover if he painted a circle on three walls?

This is calculated as:

1 wall = 50.24 ft²

3 walls = x

Cross Multiply

x = 3 × 50.24 ft²

x = 150.72 ft²

7 0
3 years ago
Juan’s classroom is shaped like a rectangle.the room is 40 feet long and 25 feet’s wide which rectangle could be scale drawing o
Svetach [21]

I think there's an image needed to answer this question?

I tried answering without, but you do need the image.

If the length is 40 and the width is 25, the ration of length:width is 40:25.

This can be simplified to 8:5

So the answer would be any drawing with the following dimensions:

1. length 8 ft and width 5 ft

2. length 16 ft and width 10 ft

3. length 24 ft and width 15 ft

4. length 32 ft and width 20 ft

5. length 40 ft and width 25 ft

It's most likely not the last 3 because the sizes are very big, but yeah a scale drawing maintains the same ratio so I assume one of the options for your answers is gonna be one of the answers from 1 - 4 above (5 is the given dimensions so I highly doubt that's the answer)

8 0
3 years ago
9<br> 60°<br> A) x = 18, y=9V6<br> B) x=9V3, y=9V3<br> C) x = 18, y=9V3<br> D) x =9V3, y=9V6
lesantik [10]

Answer:

C. x = 18, y = 9\sqrt{3}

Step-by-step explanation:

In a 30-60-90 triangle,

longer leg = \sqrt{3} (shorter leg)

hypontenuse = 2(shorter leg)

In your case, the shorter leg = 9

therefore, y = 9\sqrt{3}    and x = 2(9) = 18

7 0
3 years ago
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