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3 years ago

Differentiate the function g(x) = ln[x(sqrt(x^2 - 1))]

1 answer:

4 0

G(x) = ln[x(sqrt(x^2 - 1))]
g'(x) = 1/[x(sqrt(x^2 - 1))] * (x^2/sqrt(x^2 - 1) + sqrt(x^2 - 1)) = ((x^2 + x^2 - 1)/sqrt(x^2 - 1)) / x(sqrt(x^2 - 1)) = (2x^2 - 1) / x(x^2 - 1) = (2x^2 - 1) / (x^3 - x)

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Bryce tried to solve an equation step by step.

Aloiza [94]

$$c=\frac{1}{3}$

Solution:

Given equation is $\frac{8}{3}=3c+\frac{5}{3}$ .

To solve the equation by step by step.

Step 1: Given

$\frac{8}{3}=3c+\frac{5}{3}$

Step 2: Combine like terms together.

Plus symbol changed to minus when the term goes from right to left (or) left to right of the equal sign.

$\frac{8}{3}-\frac{5}{3}=3c$

Step 3: Subtract the fractions in the left side.

$\frac{3}{3}=3c$

⇒ $1=3c$$

Step 4: Divide both side of the equation by 3, we get

$\frac{1}{3} =\frac{3c}{3}$

$\frac{1}{3} =c$

Hence, the answer is $c=\frac{1}{3}$ .

8 0

3 years ago

Read 2 more answers

Subtract. Write your answer in simplest form. 6 3/4 - 2 3/20 I need a mixed number

umka21 [38]

Answer:

4 3/5

Step-by-step explanation:

6 3/4-2 3/20=x

3/4=15/20

15/20-3/20=12/20=6/10=3/5

6-3=3+3/5=4 3/5

6 0

3 years ago

Read 2 more answers

2000 people are selected randomly from a certain population and it is found that 389 people in the sample are over 6 feet tall.

Airida [17]

Answer: 0.195

Step-by-step explanation:

given data:

population = 2000 people.

people Who are over 6 feet tall = 389.

Solution:

the point estimate of people over 6feet tall

= no of people over 6 feet tall / total population size

= 389/2000

= 0.195

the point estimate of people over 6 feet tall is 0.195

8 0

3 years ago

100 POINTS IF YOU GUESS RIGHT PLEASE HELP

soldi70 [24.7K]

Answer:

5 and 3

Step-by-step explanation:

Let the numbers be x and y.

We have:

x + y = 8
x - y = 2

Sum the two and find x:

2x = 10
x = 5

Find y:

y = 5 - 2
y = 3

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3 years ago

Could 10.6 cm and 5.6 and 4.0 cm be the side length of a triangle

Lady bird [3.3K]

No, because the sum of any of the sides must be greater than all sides. 5.6 +4.0=9.6 which is less than 10.6, meaning that it is impossible to create a triangle with those lengths.

8 0

3 years ago