State the domain and range for the function. f(x)=3 cot (2x)

Answers

Answer 1

Answer:

Step-by-step explanation:

First look at the tangent function f(x) = tan x.  Its domain is restricted:  (-pi/2, pi/2).  There are no restrictions on the function value, so the range is (-infinity, +infinity).  The primary interval on which tan x is defined is (-pi/2, +pi/2, which has length pi.

In comparison, the domain of f(x) = tan 2x is only half as long as that of f(x) = tan x:  (-pi/4, +pi/4), with length pi/2.

Now, focusing on f(x) = 3cot(2x):  the range is the same:  (-infinity, +infinity).  The period is half that of tan x:  pi/2 instead of pi.  Remember that the cotangent function repeats itself every pi/2 radians.

Domain:  (-pi/4, +pi/4) (centered on the origin), (-3pi/4. 3pi/4), and so on, continuing to both the left and the right.

Range:  (-infinity, infinity)


Related Questions

How many numbers are in the list 1,4,7 .......... 2005, 2008 URGENT! [If you answer correctly, I will mark you brainliest]

Answers

Answer:

669.333333333

Step-by-step explanation:

divide 2008 by 3

Answer:

670

Step-by-step explanation:

Adding 2 to each member of the list, we get, and then dividing each member of the list by 3, we get: [tex]$$3, 6, 9, \ldots, 2007, 2010$$[/tex], [tex]$$1,2,3,\ldots,669,670.$$[/tex]

So there are [tex]$\boxed{670}$[/tex] numbers.

Hope this helped! :)

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

The degree of polynomial is 3

Answer: It's a THIRD degree polynomial.

Step-by-step explanation:

Please answer this question !! 20 points and brainliest !!

Answers

Answer: b.2x

Step-by-step explanation:

why? because 2 can be divided into all of the numbers evenly!

all the numbers have (x)

it wouldn't be (2x^2) ,because one of the numbers have x^3

Answer:

2x^2

Step-by-step explanation:

You find what the highest number they all have in common in this case 2 then if they all have x or y in common they have x^2 in common then add the two together making 2x^2

can someone help me expand this polynomial?

Answers

Answer:

Step-by-step explanation:

(k-p)(k-n)

=k^2 -(p+n)k+pn

this is the expanded form..

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Multiply the first 2 terms in each brackets

k x k = k^2

Multiply the two outside terms in the brackets

k x - n = -kn

Multiply the two inside terms

-p x k = -pk

Multiply the last two terms

-p x -n = pn

Place all the values together to get your answer of:

k^2 - kn - pk + pn

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From a log 11 m long, two pieces of length 23/5 m and 33/10
m are cut off. What is the length of the remaining log?

Answers

Answer:

31/10 or 3 1/10

Step-by-step explanation:

11 - 23/5 - 33/10

For g(x)=7x, describe the value of x when g(x)>28. When g(x) >28, x > (solve for this!)

Answers

Answer:

Since g(x) = 7x, we can substitute that into g(x) > which gives us 7x > 28. This simplifies to x > 4.

Answer:

x > 4

Step-by-step explanation:

g(x)=7x

g(x) >28

Replace g(x) with 7x

7x > 28

Divide by 7

7x/7 > 28/7

x > 4

Which is the better buy?
8-kilogram bag of rice for $26.04
9-kilogram bag of rice for $29.15

Answers

Answer:  9-kilogram bag of rice for $29.15

=============================================================

Explanation:

Calculate the unit rate for the first bag

8 kg = 26.04 dollars

8/8 kg = 26.04/8 dollars ... divide both sides by 8

1 kg = 3.255 dollars

1 kg = 3.26 dollars  .... rounding to nearest cent

For the first bag, the unit rate is about 3.26 dollars per kg

---------------

Repeat for the second bag

9 kg = 29.15 dollars

9/9 kg = 29.15/9 dollars ........ divide both sides by 9

1 kg = 3.23888888888889 dollars (approx)

1 kg = 3.24 dollars  .... rounding to nearest cent

The unit rate for the second bag is roughly 3.24 dollars per kg

We see that the second bag's unit rate is cheaper by 2 cents, so it is the better deal. This is despite the fact that the entire bag costs more.

Solve this system below by elimination. -x-2y=-9 2x+2y=9

Answers

The correct answer is
X=3, y=0

I am thinking of 3 consecutive numbers less than 100.The first number has 5 as one of its factors, the second number has 1 as its factors and the last number has 2 a one of its factors

Answers

Answer:

10, 11 and 12.

Step-by-step explanation:

A number has 5 as one of its factors, when last digit is 5 or 0. Only prime numbers have 1 as the only factor and a number has 2 as one of its factors when last digit is 2, 4, 6, 8 or 0.

Three possible consecutive numbers are 10, 11 and 12. 10 is the product of 2 and 5, 11 is a prime number and 12 is the product of 3 and 2². Therefore, possible choice is 10, 11 and 12.

volume of a cylinder with a radius of 3 and a height of 2

Answers

Answer:

56.52

Step-by-step explanation:

V=πr²h

V=3.14*3²*2=56.52

Phil received a prize of xxx dollars from a poker tournament. The tournament cost him 100100100 dollars to enter.

What were Phil's net winnings from the tournament?

Answers

Answer:

$(x-100)

Step-by-step explanation:

Phil entered the poker tournament with $100.He received a price of $x.

His net winnings from the tournament will be the price minus the entry fee.

Therefore:

Phil's net winnings=$(x-100)

Answer:

x - 100

Step-by-step explanation:

Since it costs 100 dollars for Phil to enter the competition, you subtract that from the prize in which he earns (x).

A triangle on a coordinate plane is translated according to the rule T 3.5(x, y). Which is another way to write this rule?
:
(x,y) - (x-3, y + 5)
(x,y) - (x-3, y-5)
(x, y) - (x + 3, y-5)
(x, y) = (x + 3, y + 5)
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

(x, y) → (x + 3, y + 5)

Step-by-step explanation:

How many centimeters are there in 740.2
millimeters?

Answers

Answer:

74.02

Step-by-step explanation:

divide by 10

Answer:

74.02 Centimeters

Step-by-step explanation:

1 centimeter = 10 millimeters

74.02 centimeters = 740.2 millimeters

Alexa wrote down a decimal number that is greater than 2.4 but less than 2.8. Select two numbers that Alexa could have written down. * 1 point 2.50 2.41 2.39 2.40 2.08

Answers

Answer:

2.41 and 2.50

Step-by-step explanation:

Here, we shall be selecting the correct answer from the option.

a. A is correct

the number we want is between 2.4 and 2.8

2.5 is greater than 2.4 but less than 2.5, this means it meets our criteria

b. 2.41 is also correct

This is because it is greater than 2.4 but less then 2.8

c. wrong

2.4 is same as 2.4, it does not meet the criterion

d. wrong

the value is far lesser than 2.4

Which equation matches the graph?

A. 2x + 6y= -8
B. -2x +6y=-8
C. 3x + 4y=-12
D. 4x + 3y= -24​

Answers

The equation that matches the graph is the second one !

Evaluate using Distributive property: [(-2/7)× (−4/9)] + [(-
3/5)× (−4/9)]

Answers

Answer:

Step-by-step explanation:

[8/63] + [ 4/15 ]

= (120 + 652)/945

= 0.82

What are the domain and range of the function f(x)=-x+3 - 2?

Answers

Answer:

Domain

R (all real numbers)

Range

R (all real numbers)

Step-by-step explanation:

What is the supplement of ∠A if m∠A = 78°?

Answers

Answer:

The supplement is 102

Step-by-step explanation:

Supplementary angles add to 180 degrees

Let x be the supplement

x+ 78 = 180

subtract 78 from each side

x+78-78 = 180-78

x = 102

Answer:

102

Step-by-step explanation:

The original price of a game system was reduced by $99.

If p= the game system’s original price in dollars, which algebraic expression represents the reduced price.

Answers

Answer:

P-99 as you would subtract 99 from original

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

PLEASE PLEAE PLEASE!!!! HELP ME

Answers

Answer:

My best answer. Hope this helps...

Step-by-step explanation:

You can see 1 full square in the triangle.

There are also 3 half squares.

The top part of the triangle also equals to 1 half square.

On the bottom right side, you have two shapes that add up to a square.

4 half squares = 2 full squares.

2 + 1 + 1 = 4

The square also has 4 squares.

5w=-2x+ 3/4 y+z for z

Answers

Answer:

z= 5w+2x -3/4 y

Step-by-step explanation:

add 2x to both sides and subtract 3/4 y.

Find the quadractic function to model the values in the table.

Answers

Answer: y=3x^2+3x-3

(the first option)

Answer:

3y²+3x-3

Step-by-step explanation:

the first choice

What is the equivalent exponential expression for the radical expression
below?
8 squared

Answers

Answer:

64

Step-by-step explanation:

=> 8²

=> 8 × 8

=> 64

when I triple a number and add 20 i will get the same answer as i do when i subtract the number from 40 find the number​

Answers

[tex]answer = - 30 \\ let \: the \: number \: be \: x \\ 3x + 20 = x - 40 \\ or \: 3x - x = - 40 - 20 \\ or \: 2x = - 60 \\ or \: x = \frac{ - 60}{2} \\ x = - 30 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

What is the power of an athlete weighing 960 N that runs through a flight of stair case in 2 mins? There are 100 stairs and each stair case has a length of 100 mm


PLS ANSWER

Answers

Answer:

Power, P = 80 W

Step-by-step explanation:

We have,

Weight of athlete is 960 N

It runs through a flight of stair case in 2 mins or 120 second

There are 100 stairs and each stair case has a length of 100 mm  or 0.1 m

Power is given by :

[tex]P=\dfrac{Fd}{t}[/tex]

d is distance

For 100 stairs,

So,

[tex]P=\dfrac{960\times 100\times 0.1}{120}\\\\P=80\ W[/tex]

So, the power of an athlete is 80 watts.

Simplify the expression (64)2

Answers

Answer:

128 or 4,096

Step-by-step explanation:

If its 64 x 2 then 128 or if you are implying 64, to the power of two, (64x64) then your answer is 4,096.

The simplified value is 4096.

what is algebric identities?

Algebraic identities are equations where the value of the left-hand side of the equation is identically equal to the value of the right-hand side of the equation. Unlike algebraic expressions, algebraic identities satisfy all the values of the variables.

The basic algebraic identities are primarily helpful to work out the numerous math problems. The four basic algebraic identities are as follows.

(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²(a + b)(a - b) = a² - b²(x + a)(x + b) = x² + x(a + b) + ab

Given:

64²

Now, we have to split the 64 into 60+4

(60 + 4)²

Now using the algebric identity

(a+ b)² = a² + b² + 2ab

So,

(60 + 4)²

=60²+2*60*4+4²

=3600+ 480+16

=3600+496

=4096

Hence, the simplified value is 4096.

Learn more about Algebraic identities here:

https://brainly.com/question/19426180

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hey there,
given that √7569= 87,then the value of √7569 + √75.69 is ________

Answers

Answer:

95.7

Step-by-step explanation:

Given that [tex]\sqrt{7569}=87[/tex] we're in search for the value of  [tex]\sqrt{7569} +\sqrt{75.69}[/tex].

Simplify the square roots.

[tex]\sqrt{7569} +\sqrt{75.69}[/tex]

[tex]87 + 8.7[/tex]

Now when we add we get 95.7 or 96 rounded to the nearest tenth.

350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how man teenagers should be be in the sample

Answers

Answer:

10 teenagers

Step-by-step explanation:

using the formula i took the sample size of 30, then added all of the cumulative frequency to get to 650

no of teenagers = 10

Micah went to the grocery store the other day and there were no price tags on anything! She bought 3 loaves of bread and 1 milk jug and when the cashier scanned it, the total was $9. Then she saw the person behind her bought 1 loaf of bread and 2 milk jugs. His total was $5.50. Micah walked out wondering: how much does one loaf of bread cost?

Answers

Answer:

$2.75

Step-by-step explanation:

We know that the random persons total was $5.50. To figure out how much one loaf of bread costs we must first, divide $5.50 by 2. We get 2.75. Then, to double check our answer we multiply that by 3 to get 8.25. We know that Micah' s total was $9.00. 9 minus 8.25 equals 0.75.

That price is very reasonable, for a jug of milk, so we know that $2.75 is the answer.

Hope this helped :)

Solve for a side in right triangles

Answers

Answer:

? = 7.45

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent side/ hypotenuse

cos 20 = 7 / ?

Multiply each side by ?

? cos 20 = 7

Divide each side by cos 20

? = 7/ cos 20

? =7.449244407

To the nearest hundredth

? = 7.45

Answer:

7.45 units

Step-by-step explanation:

[tex]\cos 20\degree = \frac{BC}{AB}\\\\0.939692620 = \frac{7}{AB}\\\\AB = \frac{7}{0.939692620}\\AB = 7.4492\\AB = 7.45 units[/tex]

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