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3 years ago

Please help!!! Find the domain of the function y = 2 cot(5∕8x).

Mathematics

1 answer:

Elza [17]3 years ago

4 0

Answer:

Function

Step-by-step explanation:

) Domain is defined as the set of possible values of x where function is defined.

For domain,

So,

The value of x is define as

The domain of the function is all real numbers except

The range is defined as all the y values for every x.

So, The range of the function is all real numbers.

2) The general form of the cot function is

Where, Period is

On comparing, B=3

So, The period of the given function is

3) Vertical asymptote is defined as the line which approaches to infinity but never touches the line.

The vertical asymptote is at where function is not defined.

The two vertical asymptote is

Put n=0,

Put n=1,

So, The two vertical asymptote are

You might be interested in

An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6

nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=1.6)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 2.58$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{2.58(1.6)}{0.1})^2 =1704.03$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=0.1$ mm is n=1705.

6 0

3 years ago

Can anyone help me solve this

kumpel [21]

Answer:

The answer to your question is a = 40, b = 5/8

Step-by-step explanation:

Data

ab = 25

log₄a - log₄b = 3

Process

1.- Use the law log of a quotient

log₄ a/b = 3

2.- Convert the log to an exponent

a/b = 4³

a/b = 64 Equation l

ab = 25 Equation ll

3.- Solve equation l for a

a = 64b

4.- Substitute in equation ll

(64b)b = 25

-Simplify

64b² = 25

-Solve for b

b² = 25/64

b = 5/8

5.- Substitute the value of b to find a

a = 64(5/8)

-Simplification

a = 40

4 0

4 years ago

4.75 qt = fl oz. pls help me with complete answers

anzhelika [568]

Answer:

4.75 Qt = 152 Fl. Oz.

Step-by-step explanation:

1 Quart = 32 Fluid Ounce

4.75 Qt = 32 × 4.75 Fl. Oz.

4.75 Qt = 152 Fl. Oz.

3 0

3 years ago

Length A is 4 ft. after a dilation is performed length B is 7ft. what was the scale factor used?

kogti [31]

1.75

4 x 1.75 = 7 so that is the answer

5 0

3 years ago

A line passes through the points (2,-4) and (6,10). What is the equation of the line?

deff fn [24]

Answer:

y = $\frac{7}{2}$ x - 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (6, 10)

m = $\frac{10+4}{6-2}$ = $\frac{14}{4}$ = $\frac{7}{2}$ , thus

y = $\frac{7}{2}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 4) , then

- 4 = 7 + c ⇒ c = - 4 - 7 = - 11

y = $\frac{7}{2}$ x - 11 ← equation of line

7 0

3 years ago