Mathematics High School

Over which interval is the graph of y= cos(x) strictly increasing?

A. 0 B. 0 C.pi/2D. Pi< x <2pi

Answers

Answer 1

Answer:

D. [tex]\pi<x<2\pi[/tex]

Step-by-step explanation:

Given the function

[tex]y=cosx[/tex]

Kindly refer to the graph attached in the answer area.

Referring to the intervals [0, [tex]2\pi[/tex]].

It decreases from the interval [0, [tex]\pi[/tex]] and then starts increasing in the interval

[tex][\pi,2\pi][/tex].

Proving by taking derivative:

Taking derivative of the function, [tex]y=cosx[/tex]

[tex]\dfrac{dy}{dx}=-sinx[/tex]

In the interval [tex][\pi,2\pi][/tex], [tex]sinx[/tex] is negative i.e. [tex]sinx<0[/tex].

Therefore [tex]-sinx>0[/tex]

When, the derivative of a function is positive, then the function is strictly increasing.

So, the answer is:

D. [tex]\pi<x<2\pi[/tex]

Over Which Interval Is The Graph Of Y= Cos(x) Strictly Increasing?A. 0 B. 0 C.pi/2D. Pi&lt; X &lt;2pi

Related Questions

The ratio of dogs to cats is 3:8 there are a total of 99 dogs and cats in the shelter. How many are cats.

Answers

Answer:

72 cats

Step-by-step explanation:

sum the parts of the ratio, 3 + 8 = 11 parts

Divide the total by 11 to find the value of one part of the ratio.

99 ÷ 11 = 9 ← value of 1 part of the ratio, then

8 parts = 8 × 9 = 72 ← number of cats

Convert 42,670,000 into an estimated power of 10

Answers

Answer:

4 x 10^7

Step-by-step explanation:

equals 40,000,000

7 divided by what equals 56?

Answers

Answer:

the answer is 8 very easy and very simple have a great

day ☺️

The answer is 8 that’s very simple lol

express 6^1/4 b^3/4 c^1/4 using a radical

Answers

Answer:

B

Step-by-step explanation:

[tex]6^{\frac{1}{4} } b^{\frac{3}{4} }c^{\frac{1}{4} }\\\\=(6^1b^3c^1)^{\frac{1}{4} }\\\\=(6b^3c)^\frac{1}{4} \\\\=\sqrt[4]{6b^3c}[/tex]

so answer is B

 [tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] expressed as a radical is d. [tex]\sqrt[4]{(6b^{3}c )}[/tex]

To answer the question, we need to know what radicals are.

What are radicals?

Radicals are roots of numbers. They are written in the form [tex]\sqrt[n]{x}[/tex] where n is the nth root of x.

Now given that we want to express [tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] as a radical, we having using the laws of indices

[tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} } = (6b^{3}c )^{\frac{1}{4} } \\6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }= \sqrt[4]{(6b^{3}c )}[/tex]

Thus, we have expressed it as a radical.

So,  [tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] expressed as a radical is d. [tex]\sqrt[4]{(6b^{3}c )}[/tex]

Learn more about radicals here:

https://brainly.com/question/8952483

#SPJ2

Write the equation of the circle centered at ( 4 , − 5 ) with radius 18.

Answers

Answer:

(x-4)^2 + (y+5)^2 = 324

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-4)^2 + (y+5)^2 = 18^2

(x-4)^2 + (y+5)^2 = 324

20
What is the sum of 7x4 + 2xy - 5y3 and 2x4+3xy + 2y3?

Answers

Step-by-step explanation:

7x^4+2xy-5y^3

+2x^4+3xy+2y^3

=9x^4+5xy-3y^3

5. What is an equation in point-stope form for the line perpendicular to y = 2x + 13 that contains (8,-4)?
y+8= - (2-4)
O y + 4 = 2(x - 8)
O x + 4 = 2(y - 8)
1
y + 4 =

Answers

Answer:

y - (-4) = (-1/2)(x - 8)

y + 4 = (-1/2)x + 4

y = (-1/2)x

orrrr...

-4 = (-1/2)(8) + b

-4 = -4 + b

b = 0

Well, we don't write "+ 0" because that's just extra work.

y = (-1/2)x

mark me as brainlist

s: 12b - 3 = 106 + 9​

Answers

I got 9.8 but if you want to round it you get 10 because you add 106 and 9 to get 115 and then add 3 and get 118 and then divide 12b and 118 and get 9.8

Twice the difference of a number and 9 is equal to three times the sum of the number and 6. Find the number.

Answers

Answer:

2x-3=3x+6 is the right answer

Please Help, Im having trouble with this

Answers

troubles with what tho?

Answer:

1 7/8 can be written as 8*1+7/8=15/8=1.875

Step-by-step explanation:

the perimeter of a rectangular playground is 46m. if the length of the park is 7m, what is the width of the park?
​

Answers

Answer:

Step-by-step explanation:

2(7) + 2w = 46

14 + 2w = 46

2w = 32

w = 16 is the width of the park

An expression has a division symbol and a subtraction symbol. Is there any situation in which you would perform the subtraction before the division

Answers

If it is in parentheses yes


distance between each pair of points
(0.4). (8. -2)

Answers

Answer:

10

Step-by-step explanation:

Sqrt((-8)^2+((-2)-4)^2)

The answer will be 10

City Gym charges $30 per month and a membership fee of $20. Muscle Gym charges $28 per month and a membership fee of $36. For what number of months would you pay the same?

Answers

Answer:

8 months

Step-by-step explanation:

Solving for 'x' It's Side Splitter Theorem

Answers

Answer:

12-x=x+3

12-3=x+x

9=2x

9/2=x

4.5=x

Answer:

x = 3

Step-by-step explanation:

The segment parallel to the third side and intersecting 2 sides divides those sides proportionally, that is

[tex]\frac{12-x}{x+3}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )

6(x + 3) = 4(12 - x) ← distribute parenthesis on both sides

6x + 18 = 48 - 4x ( add 4x to both sides )

10x + 18 = 48 ( subtract 18 from both sides )

10x = 30 ( divide both sides by 10 )

x = 3

Match each product of powers with its simpled expression

Answers

Answer: what’s the answer

Step-by-step explanation:

Fine the quotient of 16^2 - 9 / 4x + 3

Answers

Answer:

[tex]\frac{1036x-9}{4x}[/tex]

Find the area and circumference of each circle with diameter 9m. Keep your answers in terms of pi.​

Answers

I got the answer from google is:

A≈63.62m²

.
.
.
.
.
.

In the equation y=mx +b what si b

Answers

Answer:

B is the y-intercept. Where you start your slope.

Step-by-step explanation:

FInd the slope y = -2

Answers

Answer:

The slope is ZERO. It has no slope

Step-by-step explanation:

Make x the subject
3x-ax =2x+5

Answers

Step-by-step explanation:

>> ▪︎ 3x-ax=2x+5 ▪︎<< >> ▪︎ 3x-ax-2x=5 ▪︎<<>> ▪︎x(3-2-a)=5 ▪︎<<>> ▪︎x=5/1-a ▪︎<<

Answer:

Step-by-step explanation:

>> ▪︎ 3x-ax=2x+5 ▪︎<<

>> ▪︎ 3x-ax-2x=5 ▪︎<<

>> ▪︎x(3-2-a)=5 ▪︎<<

>> ▪︎x=5/1-a ▪︎<<

explain why this is NOT a function

Answers

Answer:

because it doesn't pass the verticle line test

Step-by-step explanation:

is the inequality always, sometimes, or never true?
2(x + 6) < 30​

Answers

Answer:

x< 9

Step-by-step explanation:

I'm not sure if it's right but I think it is .

If you count to 100 by 2, how many numbers will you say?

Answers

50 would be the answer 100 divided by 2 I believe

Answer:

If you start at 0, 51.  If you start with 2, 50.

Step-by-step explanation:

The amount of numbers that will be said are simply 100/2 which is 50 since counting by two is the same as the amount of even numbers up to 100.  If you start at 0, simply add an additional count, making 51.

Cheers.

The domain of a quadratic function is all real numbers and the range is y ≤ 2 how many x intercepts does the function have?

Answers

Answer:3

Step-by-step explanation:

Find the equation of the line below.Arrange your answer y=Mx+b where is the constant

Answers

Answer:

Step-by-step explanation:

y=mx+b

Step 1: Flip the equation.

mx+b=y

Step 2: Add -mx to both sides.

mx+b+−mx=y+−mx

b=−mx+y

How to write y = -4(x+6)(x-8) into standard form

Answers

Step-by-step explanation:

y = -4(x+6)(x-8)

= -4[x²-2x-48]

= -4x²+8x+192

A 9-foot roll of wrapping paper costs $15.12. What is the price per inch?

Answers

Answer:

$0.14

Step-by-step explanation:

$15.12/9

ans/12

Frank also has an eraser. It has a mass of 3g, and volume of 1cm3.what is it’s density

Answers

Here

mass = 3g

volume = 1 cm³

we know

density = mass/ volume

            3/1 = 3g/cm³

A local restaurant offers a deal if you purchase 3 medium pizzas you get 2 side dishes for free if you get a total of 8 side dishes how many pizzas did you buy use table to show your work

Answers

11 you count by 3 with the pizzas and 2 with the side dishes
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