All categories

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

For Anthony’s birthday his mother is making cupcakes for his 12 friends as daycare. The recipe calls for 3 1/2 cups of flour. Th

Alla [95]

Answer:

yes because he has 12 friends and the recipe makes 2 1\2 dozen cupcakes.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

An investigative bureau uses a laboratory method to match the lead in a bullet found at a crime scene with unexpended lead cartr

Firlakuza [10]

Answer:

Step-by-step explanation:

Given that, we have 1851 bullets that we KNOW are NOT MATCHES of one another. One by one they examine two bullets at a time.

So, there are 1851 bullets but each time we choose 2.

We have, N choose K = N! / K! (N-k)!

Here, N = 1851 and K = 2

Therefore, 1851 choose 2 = 1851! / 2! (1851-2)!

= 1851! / 2! * 1849!

= 1712175 Possible Combinations

Out of these 653 are false positive.

The chance of getting false positive is = 658 / 1712175

= 0.000384

= 0.0384 %

Therefore, The correct option is

The chance of false positive is 0.0384% Because this probability is sufficiently small (< or = 1%) There is high confidence in the agency's forensic evidence.

3 0

4 years ago

Please help pls pls help pls belp

Delvig [45]

Answer:

After 1 second, the ball will reach a maximum height of 16 feet

Step-by-step explanation:

The height of the ball after t seconds: h(t) = -16t^2 + 32t

The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola

t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second

then

h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16

After 1 second, the ball will reach a maximum height of 16 feet

8 0

2 years ago

What are the vertical and horizontal asymptotes of f(x)=2x/x-1

Pie

Find the vertical and horizontal asymptotes of the graph of the function $f(x)=\dfrac{2x}{x-1}:$