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


Find the length of side CB in the following right triangle
Round your answer to the nearest tenth.

Answers

Answer:

6cm

Step-by-step explanation:

a2 + b2 = c

(1.4)2 + (2)2 = c

1.96 + 4 = 5.96

=5.96cm (round it)

final answer = 6cm

Answer:

CB = 1.4 cm

Step-by-step explanation:

Given is a right angled triangle.

[tex] {x}^{2} + {1.4}^{2} = {2}^{2} \\ {x}^{2} + 1.96= 4 \\ {x}^{2} = 4 - 1.96 \\ {x}^{2} = 2.04 \\ x = \sqrt{2.04} \\ x = 1.42828569 \\ x \approx 1.4[/tex]

CB = 1.4 cm

What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26, ...
O-6
0-4
O4
O 6

Answers

The answer is 6, because 8-2=6 ; 14-8=6 ; 20-14=6 and so on.

The common difference between successive terms in this arithmetic sequence is 6.

Option D is the correct answer.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

We have,

The common difference between successive terms in the sequence 2, 8, 14, 20, 26, ... is 6.

To see why, notice that each term in the sequence is obtained by adding 6 to the previous term.

For example, to get from 2 to 8, we add 6. To get from 8 to 14, we add another 6.

This pattern continues for each successive term in the sequence.

Thus,

The common difference between successive terms in this arithmetic sequence is 6.

Learn more about arithmetic sequence here:

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The table represents the equation y = 2 – 4x The x-values are the The y-values are the The missing value in the table for x = –1 is y =

Answers

Answer:

1.) inputs

2.) output

3.) 6

Step-by-step explanation:

Hopefully this helps you ;)

pls mark brainlest :)

The missing value for x=-1 is y=6

How will you solve the equation?

By substituting the known values in the equation gives the unknown value.

Given equation is y=2-4x

To find y when x=-1

Substitute x=-1 in given equation,

we get y=2-4(-1)

y=6

Hence, the value of y when x=-1 is 6

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1) The price of a dress is $89. Susan has a coupon for $50 off ger entire purchase and another coupon for 50% off one item. The store's policy does not allow for both coupons to be used at once. Which monetary incentive would give Susan a better buy. $50 off coupon is a better buy 50 of one item is a better buy.​

Answers

First coupon:

89 - 50 = $39 (discount price)

Second coupon:

50% = 0.5

89 * 0.5 = 44.5

89 - 44.5 = $44.5 (discount price)

39 < 44.5

Therefore, the better option is using the $50 off one item.

Best of Luck!

Solve the equation
|-2y+5|=2|4y-1|
I need help fast please, thanks

Answers

Answer:

|-2y+5|=2|4y-1|

-2y+5=8y-2

-2y-8y=-2-5

-10y=-7

y=7/10

Step-by-step explanation:

(HIGH POINTS) PLEASE HELP URGENTLY!!!

Answers

I think it’s 67/24
I hope this help you out

w + 1200+209 = 2000


This might seem easy but I seriously don’t know how to get to the answer

Answers

Answer:

591

Step-by-step explanation:

added the 2 in the equation and minused 2000 from that

Hey, I know the correct answer is C. May someone please explain or give me an example why the answer is C.

Answers

Answer:

3ny

Step-by-step explanation:

For this problem, the price of a widget is represented by 'n' amount of dollars.  Additionally, the store was stocked with 4y widgets.

To find the total cost of the widgets sold, we will use the information that at the end of the day, the store only had y widgets remaining.

From here we can say the following to represent the total cost of the widgets sold:

cost = n * (4y - y)

cost = n * (3y)

cost = n3y

You can rewrite this cost to be 3ny as in the answer choice.

Cheers.

First person to answer gets branliesg f(x)=|x+6|

Answers

Answer:

Domain: (-infinity, infinity)

Range: [0,infinity)

Answer:

Domain: Negative infinity less than to x less than inifinity.

Range: [0, infinity)

X-Intercept: (-6, 0)

Y-Intercept: (0, infinity)

Asym: None

Minimum: (-6, 0)

Write an absolute value equation that has the solutions x= -6 and x = 10.
The equation is blank

Answers

HERES THE EXAMPLE: If | x | = 3, we know that x may be either +3 or - 3,

since both are 3 units from the origin.

Notice that the answer is "OR", since x cannot be both -3 and +3 at the same time.

ANSWER: so the x=-6 would be would just be six units -6 to 0 would be 6

the x=10 would be -10

Choose the midpoint of the line segment with endpoints at (5, 9) and (11, 15).

A) (16,24)
B) (6,6)
C) (8,12)
D) (-6,-6)

Answers

Answer:

C) (8,12)

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{5+11}{2} )(\frac{9+15}{2} )\\MP= (\frac{16}{2} )(\frac{24}{2} )\\MP= (8,12)[/tex]

The frequency table shows the distribution of 1,200 students at a high school. To the nearest percent, what percentage of females are freshmen or sophomores? Frequency Table of Student at a High School Seniors Total Freshmen Sophomores Juniors 168 128 166 146 Males 608 Females 160 592 134 162 136 328 264 306 302 1.200 Total 27% 50% 53% 23% My Progress​

Answers

Answer:

23 percent

Step-by-step explanation:

The percentage of females who are freshmen or sophomores will be 50%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

The frequency table shows the distribution of 1,200 students at a high school.

The frequency table is given below.

Then the percentage of females who are freshmen or sophomores will be

P = (134 + 162) / 592 x 100

P = 296 / 592 x 100

P = 0.5 x 100

P = 50%

Thus, the correct option is B.

More about the percentage link is given below.

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help please? i have no idea what i’m doing

Answers

Since the acute angle is in the corner of angle P and J, we have to base our answer off the angle we know. So angle PQ/JK is similar to angle PS/JL
Answer b would be your best bet I think because of the image

What is the answer and steps to the problem 11(8r+3)-2(-9+6r)

Answers

(88r+33)-2(-9+6r)
(88r+33) + (18-12r)
88r+33+ 18- 12r
76r + 51

Point A is located at coordinates (-4,3). What are the new coordinates of A' after a a translation two units to the right, then a reflection using the x-axis?

Answers

Answer:

(-1,-3)

Step-by-step explanation:

after you find (-4,3) on the graph you move 2 units to the right which would become (-1,3)after that you go over the x-axis and you reflect (mirror) that and your answer is (-1,-3)

I hope this help

. Classify the relationship between the pair of angles. ∠10 and ∠12.

Answers

Answer: consecutive interior angles

Step-by-step explanation:

What is the formula on finding the base for a triangle?

Answers

Answer:

Step-by-step explanation:

The area of a triangle is ½ (b × h), where b is the base and h is the height. The base of a triangle is any one of the sides, and the height of the triangle is the length of the altitude from the opposite vertex to that base.

The speed of a car traveling on a straight road increases from 63 m/s to 75
m/s in 4.2 seconds. What was the car's acceleration? m/s2 = meters per
second squared

Answers

Answer :

Initial velocity = 63m/s

Final velocity = 75m/s

Time taken = 4.2

We have to find acceleration of car[tex].[/tex]

_________________________________

◈ Acceleration is defined as the rate of change of speed.

a = (v - u) / t

It is a vector quantity having both magnitude as well as direction.

SI unit : m/s²

⇒ a = (v - u) / t

⇒ a = (75 - 63) / 4.2

⇒ a = 12/4.2

⇒ a = 2.85 m/s²
Question:

The speed of a car traveling on a straight road increases from 63 m/s to 75 m/s in 4.2 seconds. What was the car's acceleration?

Answer:

[tex] \rm\red {Given:} [/tex]

u ( initial velocity ) = 63m/s

v ( final velocity ) = 75m/s

t ( time taken ) = 4.2s

[tex] \rm\red {To \: find:} [/tex]

a ( acceleration ) =?

[tex] \rm\red {Calculation:} [/tex]

We know that,

[tex] {\huge {\boxed {\tt { a = \dfrac{v-u} {t}}}}} [/tex]

Substituting values-

[tex] \sf { \qquad \leadsto a = \dfrac{75-63}{4.2}} [/tex]

[tex] \sf { \qquad \leadsto a = \dfrac{12}{4.2}} [/tex]

[tex] \sf { \qquad \leadsto a = \dfrac{\cancel {12} {} ^{\: \: 6} \times 10}{\cancel {42} {} ^{\: \: 21} }} [/tex]

[tex] \sf { \qquad \leadsto a = \dfrac{\cancel6 {} ^{\: \: \: 2}\times 10 }{\cancel {21} {} ^{\: \: 7}}} [/tex]

[tex] \sf { \qquad \leadsto a = \dfrac{2 \times 10}{7}} [/tex]

[tex] \sf { \qquad \leadsto a = \dfrac{20}{7} = 2.85} [/tex]

[tex] \therefore [/tex] Acceleration of the car was [tex] \sf { 2.8m/{s} ^{2}} [/tex]

_________________________________

Evaluate the following expression ​

Answers

Answer:

1/216

Step-by-step explanation:

6^-3= 1/6^3

=1/216

Answer;

6³-3³

6×6×6-3×3×3=

216-27=199

199-1=answer

my  number eight dosent work please understand

what is 60% of 86 ?

Answers

Answer:

51.6

Step-by-step explanation:

Answer:

51.6

Step-by-step explanation:

60% = 0.6

0.6x86=51.6

if x divided by 5 = 1760 , what is x ?

please help !

Answers

if x divided by 5 = 1760 , what is x ?

Set up an equation

[tex]\frac{x}{5}=1760[/tex]

Cross multiply

[tex]x=8800[/tex]

:)

Answer:

8,800

Step-by-step explanation:

5×1760=8800 if u divide that by 5

you get 1760

so its 8800

What is the answer this probelm​

Answers

Answer:

heya this is your answer

Step-by-step explanation:

1) angle 1 = angle EAB

2) angle 3 = 55 degree

3) angle ABF = angle 2 + angle 3

                     =  90 degree + 55 degree

                     = 145 degree

plz mark me as brainliest

8. The students were looking at their debts, Holmes is in $90,00 of debt.
Reyes has $67.00 of debt. Dixon has $79.00 of debt. Hunter has a positive
bank balance of $100.00. Who owes the most money?



Please help me

Answers

Holmes has the most!

To find who has the most debt, look at who has the least amount of money to their name. Holmes has -$90, Reyes has -$67, Dixon has -$79, and Hunter has $100. By owing $90, Holmes owes the most money. Hope this helps!

Find the distance between the two points rounding to the nearest tenth (if necessary)

(-3,3) and (-1,5)​

Answers

Answer:

The answer is

2.8 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,3) and (-1,5)

The distance is

[tex]d = \sqrt{( { - 3 + 1})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 2})^{2} + ( { - 2})^{2} } \\ = \sqrt{4 + 4} \\ = \sqrt{8} \: \: \: \: \: \: \: \: \\ = 2 \sqrt{2} \: \: \: \: \: \: \\ = 2.82842[/tex]

We have the final answer as

2.8 units to the nearest tenth

Hope this helps you

Please help due in 10 min

Answers

First one tell me if I am right!

Answer: the first option

A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5

Answers

Answer:

Surface Area =237.5

Answer:237.5

Step-by-step explanation:

Which postulate does this diagram demonstrate?

Answers

Two lines intersect at one point

A=1/2 BH where A: area, B: base, & H: height. If the Base of a triangle is 7 ft and the Height of the triangle is 4 ft, what is the Area of the triangle? Question 12 options: 56 ft 28 ft 14 ft 37 ft

Answers

Answer:

[tex]\boxed {\tt A= 14 \ ft^2}[/tex]

Step-by-step explanation:

The area of a triangle can be found using the following formula.

[tex]A=\frac{1}{2} bh[/tex]

where [tex]b[/tex] is the base and [tex]h[/tex] is the height.

In this triangle, the base is 7 feet and the height is 4 feet.

[tex]b= 7 \ ft\\h= 4 \ ft[/tex]

Substitute the values into the formula.

[tex]A=\frac{1}{2} bh[/tex]

[tex]A=\frac{1}{2} (7\ ft)(4 ft)[/tex]

Multiply 7 ft and 4 ft.

[tex]A=\frac{1}{2} (28 \ ft^2)[/tex]

Multiply 28 square feet by 1/2 or divide 28 square feet by 2.

[tex]A= 14 \ ft^2[/tex]

The area of the triangle is 14 square feet.

Michael and Ming-Wei are selling fruit for a school fundraiser. Customers can buy small boxes of
oranges and large boxes of oranges. Michael sold 3 small boxes and 14 large boxes for a total of $203.
Ming-Wei sold 11 small boxes and 11 large boxes for a total of $220. Find the cost of each size box.

Answers

L = large boxes S=small boxes
3s + 14l = 203
11s + 11l =220
You can eliminate a variable, I'm going to eliminate s but from the 2 equation since it's easier to do the math. I'm going to multiply the equation by -3. I'm going to multiply the first one by a positive 11.
-33s-33L=-660
33s + 154L= 2233
121L=1573
1573÷121 =13
So one large box equals 13, now find the price of a small by plugging it into an equation.
3s + 14 (13)=203
3s+ 182 =203
203-182=21÷3=7
Now a small equals 7, check if both are correct by putting it into another equation.
11 (7)+11 (13)=220
77+143 =220
220=220
A small equals $7, while a large equals $13.

If a line has a slope 2/3 a line that is perpendicular has a slope of what

Answers

Answer:

-1.5

Step-by-step explanation:

The product of slopes of two perpendicular lines = -1

If line one has a slope of 2/3;

Let line two, perpendicular to line one, has a slope of a

2/3 × a = -1

a = -1 ÷ 2/3 = -3/2 = -1.5

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