All categories

4 years ago

Lim as x goes to 0: (2sinxcosx)/(2x^2+x)=

1 answer:

8 0

$\displaystyle\lim_{x\to0}\frac{2\sin x\cos x}{2x^2+x}=2\left(\lim_{x\to0}\frac{\sin x }x\right)\left(\lim_{x\to0}\frac{\cos x}{x+1}\right)=2(1)\left(\frac1{0+1}\right)=2$

You might be interested in

Examine the worked problem and solve the equation.

tester [92]

Answer:

The answer is 7

Step-by-step explanation:

I don't know how to explain it really but just divide 4/3 by 28/3 and you should get the answer of x

7 0

3 years ago

Read 2 more answers

Subtract: 6lb 4oz<br> - 2lb 10oz

Virty [35]

6 lb = 96 oz
2 lb = 32 oz

96 + 4 = 100
32 + 10 = 42

100 - 42 = 58
58 oz

58 / 16 = 3 10/16
3 lb 10 oz

Answer: 3 lb 10 oz

5 0

4 years ago

Read 2 more answers

Which expression has a value equal to the value of the expression 4×(12+4) - (12÷3)

Rasek [7]

The answer to the problem is 28.

5 0

3 years ago

Read 2 more answers

8-5x =2x + 20 <br> Simplify<br> I’ll give brainliest

kobusy [5.1K]

Answer:

X= - 12/7 i hope it is helpful have a nice day if you want steps i will show you

6 0

3 years ago

Read 2 more answers

A company decides to investigate the amount of sick leave taken by its employees. A sample of seven employees yields the followi

Svet_ta [14]

Using statistical concepts, we have that:

a. The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.

b. The standard deviation is of 2.2, which means that the average spread about the mean is of 2.2 units.

<h3>Range and standard deviation:</h3>

The range of a data-set is given by the difference <u>between the highest value and the lowest value in the data-set</u>.

The standard deviation of a data-set is given by the <u>square root of the sum of the difference squared of each observation and the mean, divided by the number of observations</u>.

Item a:

The lowest value is of 0.

The highest value is of 6.

Hence:

The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.

Item b:

The mean is:

$M = \frac{0 + 1 + 4 + 0 + 0 + 6 + 3}{7} = 2$

Hence, the standard deviation is:

$S = \sqrt{\frac{(0-2)^2+(1-2)^2+(4-2)^2+(0-2)^2+(0-2)^2+(6-2)^2+(3-2)^2}{7}} = 2.2$

The standard deviation is of 2.2, which means that the average spread about the mean is of 2.2 units.

You can learn more about range and standard deviation at brainly.com/question/11729451

7 0

2 years ago