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Tamiku [17]
4 years ago
12

Lim -> 0 sin(2x) /(x*cos(x) ) help

Mathematics
1 answer:
Ilya [14]4 years ago
4 0
Sin (2x) can be written like:sin (2x) = 2sin(x)cos(x)
substituting this expresion in the original one:sin(2x) /(x*cos(x) =2sin(x)cos(x)/x*cos(x)=2sinx/x
taking limits, and noticing that lim as x->0 of sinx/x=1:lim 2sinx/x=2*1=2x->0
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Determine which type of sampling is most appropriate. Biologists divide the regions where Red foxes are found into the​ Nearctic
anzhelika [568]

Answer:

The sampling technique used here is Stratified random sampling.

Step-by-step explanation:

Stratified random sampling is a sampling procedure where the researcher first divided the entire population into groups, known as strata. These groups are homogeneous in nature.

Then from these strata a simple random sample of individuals are selected.

In this case the Biologist first divide the entire region of Red foxes into various groups. Then he samples 100 female foxes from each of these groups.

This is an example of stratified sampling.

Thus, the sampling technique used here is Stratified random sampling.

4 0
4 years ago
Estimate the percent of each number. 47% of 77
Anettt [7]

ANSWER

36 .19

EXPLANATION

We want to estimate

47\% \: of \: 77

This is the same as

\frac{47}{100}  \times 77

or

\frac{47}{100} \times  \frac{77}{1}

We multiply the numerators to get,

\frac{3619}{100}

We convert to decimals to get

36.19

5 0
3 years ago
5(9-4+3)/2*5<br> What is the answer following order of operations
AleksAgata [21]

Answer:

100

Step-by-step explanation:

9-4+3=8

5*8=40

40/2=20

20*5=100

8 0
3 years ago
A metal plate, with constant density 5 g/cm^2, has a shape bounded by the curbe y = x^2 and the x-axis, with 0&lt;= x &lt;= 3 an
nignag [31]

Answer:

a) 45 g

b) greater (make the graph youself on desmos or something)

c) 9/4

Step-by-step explanation:

area = integral 0 to 3 of x^2 dx = [1/3x^3] 0 to 3 = 9

mass = density * area = 5 * 9 = 45 grams

area = y*deltax = x^2*deltax

x = integral 0 to 3 of 5x^3 dx / mass = (405/4) / 45 = 9/4

4 0
3 years ago
What is the value of expression 2 + 4^2 x 4 - 12
d1i1m1o1n [39]

Answer:

16x^4−10

Step-by-step explanation:

2+(42)(x4)−12

=2+16x4+−12

=(16x4)+(2+−12)

=16x4+−10

12x^4-10

3 0
3 years ago
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