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2 years ago

Brainliest if it shows how to do all 4

Mathematics

1 answer:

Sergeeva-Olga [200]2 years ago

5 0

formula: pi×2×r or pi×d

1. 9m×2×pi= 56.55m

2. 17ft× pi= 53.41 ft

3. 3yd×pi= 9.42 yd

4. 5cm× pi= 15.71cm

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

Leni [432]

Answer: $\dfrac{2x^2-1}{x(x^2-1)}$

Step-by-step explanation:

The given function : $y=\ln(x(x^2 - 1)^{\frac{1}{2}})$

$\Rightarrow\ y=\ln x+\ln (x^2-1)^{\frac{1}{2}}$ [ $\because \ln(ab)=\ln a +\ln b$ ]

$\Rightarrow y=\ln x+\dfrac{1}{2}\ln (x^2-1)}$ [ $\because \ln(a)^n=n\ln a$ ]

Now , Differentiate both sides with respect to x , we will get

$\dfrac{dy}{dx}=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})\dfrac{d}{dx}(x^2-1)$ (By Chain rule)

[Note : $\dfrac{d}{dx}(\ln x)=\dfrac{1}{x}$ ]

$\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x-0)$

[ $\because \dfrac{d}{dx}(x^n)=nx^{n-1}$ ]

$=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x) = \dfrac{1}{x}+\dfrac{x}{x^2-1}\\\\\\=\dfrac{(x^2-1)+(x^2)}{x(x^2-1)}\\\\\\=\dfrac{2x^2-1}{x(x^2-1)}$

Hence, the derivative of the given function is $\dfrac{2x^2-1}{x(x^2-1)}$ .

8 0

3 years ago

£(2= (1,5),(0,-2)，(3,2)}

zlopas [31]

Answer:

Step-by-step explanation:

h(4)=-1

g(h(4))=g(-1)=3

f(3)=2

5 0

2 years ago

100 POINTS!! A company has 400 employees. There are 300 female employees. There are 80 employees who are under the age of 25. Th

Fittoniya [83]

Answer:

probability of randomly selecting an employee who is female and under the age of 25= 0.15

In percentage= 15%

Step-by-step explanation:

There are 300 female employees. There are 80 employees who are under the age of 25

Probabilty of choosing a female employees= 300/400

Probabilty of choosing a female employees= 0.75

Probabilty of choosing an employees under the age of 25

= 80/400

Probabilty of choosing an employees under the age of 25

= 0.2

probability of randomly selecting an employee who is female and under the age of 25= 0.2*0.75

probability of randomly selecting an employee who is female and under the age of 25= 0.15

In percentage= 0.15*100

In percentage= 15%

4 0

2 years ago

m hits a baseball 4 times as often as t each game he also hits 20 baseballs every monday at practice. how many baseballs will m

baherus [9]

M will hit 16 baseballs (4x4=16)

7 0

3 years ago

Read 2 more answers

Which is the best option?

rusak2 [61]

Answer:

A would have to be the best answered all the all ones dont seen right

6 0

2 years ago