Let f(x) = cos(x) + 2x.
Where does f have critical points?

Answers

Answer 1

Answer:

f has no critical points.

Step-by-step explanation:

We are given:

[tex]f(x)=\cos(x)+2x[/tex]

A function has critical points whenever its derivative equals 0 or is undefined.

Differentiate the function:

[tex]f'(x)=-\sin(x)+2[/tex]

Since this will never be undefined, solve for its zeros:

[tex]0=-\sin(x)+2[/tex]

Hence:

[tex]\displaystyle \sin(x)=2[/tex]

Recall that the value of sine is always between -1 and 1.

Thus, no real solutions exist.

Therefore, f has no critical points.


Related Questions

what is 2/8 divided by 3/4

Answers

Answer:

1/3

Step-by-step explanation:

2/8 ÷ 3/4

Copy dot flip

2/8 * 4/3

Simplify

2*4  / (8*3)

8/24

1/3

Answer:

0.333333333333 should be the answer, hope this helps!

Victoria is designing an image to be projected onto a screen. Her design is shown
below.
Victoria's Design
What is the total area, in square centimeters,
of Victoria's design?
8 cm
4 cm
4 cm
4 cm
10 cm
14 cm
146 centimeters squared
188 centimeters squared
118 centimeters squared

Answers

Answer:

13 ug

Step-by-step explanation:

Victoria is designing an image to be projected onto a screen. Her design is shown

below.

Victoria's Design

What is the total area, in square centimeters,

of Victoria's design?

8 cm

4 cm

4 cm

4 cm

10 cm

14 cm

146 centimeters squared

188 centimeters squared

118 centimeters squared

What is 45 quarts= ___ pounds​

Answers

Answer:

93.8858 pounds

How to convert:

1 pound (lb) = 0.479305709 quart (qt). Pound (lb) is a unit of Weight used in Standard system. Quart (qt) is a unit of Volume used in Cooking system. Please note this is weight to volume conversion, this conversion is valid only for pure water at temperature 4 °C.

1 US qt = 0.946352946 liters = 0.946352946 kg of pure water at temperature 4 °C.

US oz = 28.349523125 g

US fl oz = 29.5735295625 ml (milliliters) = 29.5735295625 g (grams) of pure water at temperature 4 °C.

US cup = 8 fl oz = 236.5882365 ml (milliliters) = 236.5882365 g (grams) of pure water at temperature 4 °C.

The US liquid quart equals to 0.946352946 liters.

Answer:

45 quarts is equal to exactly 93.8858 pounds.

Step-by-step explanation:

1 quart (qt) = 2.086351113 pound (lb).

Multiply 2.086351113 pounds by 45 to get your answer.

Saima can blow 15balloons in 20 min sara can blow 18 balloons in 25 minutes ahamd can blow 16 balloons in 21 minutes bilal can blow 12 ballons in 23 min who can blow balloons at fastest rate

Answers

Answer:

so its means that ahmad can blow balloons at fastest rate...

Step-by-step explanation:

Saima:

15b = 20min

1 b = 1 min 20sec

Sarah;

18b = 25min

1 b = 1 min 23sec

ahmad;

16b = 21min

1 b = 1 min 19sec

Bilal;

12b = 23min

1 b = 1 min 55 sec

HOPE ITS HELPSS......

Find x

A: 11.2
B: 13.1
C: 9.2
D: 22.9

Answers

Hi there!

[tex] \large{tan35\degree = \frac{x}{16} }[/tex]

We can also use the other angle but I will focus on 35°.

The reason why we use the equation above because tan is equivalent to opposite/adjacent

From the picture, the opposite is x-term while the adjacent is 16 if we focus angle 35°.

Define theta = 35°. Thus, the equation would be tan35° = x/16.

Solving the equation, you might want to bring open Trigonometric Table or a calculator to calculate tan35°. You should get 0.7 (rounded)

[tex] \large{0.7 = \frac{x}{16} }[/tex]

Then solve the equation for x-term.

[tex] \large{0.7 \times 16 = x} \\ \large{x = 11.2}[/tex]

Hence, the value of x is 11.2

Answer

11.2

Questions about the problem be asked through comment.

Furthermore, you can also use the other angle. If we use 55° instead, the equation would be tan55° = 16/x. The outcome would be the same.

Hope this helps, and Happy Learning! :)

Unit 4: Systems of Equations
One week, Carlos bought 6 dog treats and 4
cat treats for $42. The next week, he bought 2
dog treats and 7 cat treats for $31.
Create an algebraic representation of the
situation above.
How many does each dog tre at cost?
How much does each cat treat cost?

Answers

Answer:

$5 for a dog treat

$3 for a cat treat

Step-by-step explanation:

week 1: 6d + 4c = 42

week 2: 2d + 7c = 31

*used calculator & guessed what each treat costs*

WEEK 1:

6(5) + 4(3) = 42

30 + 12 = 42

42 = 42

WEEK 2:

2(5) + 7(3) = 31

10 + 21 = 31

31 = 31

The elevation at ground level is 0 feet. An elevator starts 90 feet below ground level. After traveling for 15 seconds, the elevator is 20 feet below ground level. Did the elevator travel up or down? What was the speed (in ft per second) of the elevator in the 15 second interval?

This is due at 8am tomorrow please help me

Answers

The answer is -4 2/3

Explanation : The elevator is at 0, and went below ground level 90 feet, that would be -90, then it went up 20 feet, which would be -90 + 20 = -70

-70 ft / 15sec = - 4 2/3

I am not sure about the ground level and negative difference but that it is what I was taught. Below ground level is negative and above is positive. Therefore the elevator traveled up and it traveled -4 2/3 per second.
It so either 4 2/3 or - 4 2/3 but pretty sure it is - 4 2/3.

:)))

It was 7 °F outside. The temperature dropped 16º.
How cold did it get?
A. -23 °F
B. -16 °F
C. -9°F
D. 9°F
E. 23 °F

Answers

The answer would be C.



Robbert wants to put lights around the edge of his yard.The yard if 40 feet long and 23 feet wide.How many yards of light does he need

Answers

Answer:

102.222 square yards of light.

Step-by-step explanation:

From the above question, the yard had the dimensions 40 feet long and 23 feet wide.

Hence, the yard is rectangular in shape.

We have to find the area of the yard.

The formula is given as:

Area = Length × Width

= 40 feet × 23 feet

= 920 square feet

Converting to yards

1 square foot = 0.111 square yard

920 square feet = x

Cross Multiply

x = 920 × 0.111 square yard

x = 102.222 square yards.

Therefore, Robbert would need 102.222 square yards of light.

Pls hurry


Rafael writes an expression to represent "a number, n, decreased by thirty-one." Then he evaluates that expression if
n-29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31-n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n-31.
To evaluate the expression, subtract 31 from 29.

Answers

Step-by-step explanation:

To evaluate, substitute 29 for the variable in the expression.

To evaluate, substitute 31 for the variable in the equation.

To evaluate the expression, add 31 to 29.

The correct expression is n-31.

To evaluate the expression, subtract 31 from 29Pls hurry

Rafael writes an expression to represent "a number, n, decreased by thirty-one." Then he evaluates that expression if

n-29. Which statements are true about the expression and its evaluation? Check all that apply.

The correct expression is 31-n.

This is a subtraction expression.

This is an addition expression.

To evaluate, substitute 29 for the variable in the expression.

To evaluate, substitute 31 for the variable in the equation.

To evaluate the expression, add 31 to 29.

The correct expression is n-31.

To evaluate the expression, subtract 31 from 29..

The school has two separate buildings, one is shaped
like a triangle and the other a rhombus. The base of
the triangle is 100 meters and the height is 150
meters, what is the area? The rhombus is a kite shape
with one diagonal 50 meters and the other 40 meters,
what is the area?

Answers

Answer:

250 = triangle

90 = rhombus

(i think, its all i know)

Step-by-step explanation:

just use 1/2 x b x h for triangles

and A = l x w for rectangles

please help i will give an extra 40 if you do

Answers

umm i did a problem like this and i just add

Answer:

area of the right triangle=1/2×7×5

=17.5 square feet

please help!!! i will mark brainliest!!

Answers

Answer:

A. 96

C. 48

D. 24

Step-by-step explanation:

Multiples of 8

8 = 8, 16, 24, 32, 40, 48, 56, and 64, 72, 80, 88, 96, 104,.......

Multiples of 12

12 = 12, 24, 36, 48, 60, 72, 84, 96, 108,........

Common multiples of 8 and 12 = 24, 48, 72 and 96

The correct answers are:

A. 96

C. 48

D. 24

Find the area of the triangle.





(Please help)

Answers

Answer:

That is one big M

Step-by-step explanation:

Other than that I cannot help with this question because of the picture that was taken was enlarged too much!

Answer:

I can't see the numbers        

Step-by-step explanation:

I can't see the numbers for me to find the area can you pull back the camera back then take another picture .

what is the angle from x​

Answers

Answer:

133° because vertically opposite angles are equal!

Hope this helped!

What is the median of this data set?

{3, 5, 7, 8, 8, 9, 10, 10, 10, 11, 12, 15}

Answers

Answer:

Hi, there your answer is 9.5

Median=10

9 + 10 = 19

19 ÷ 2 = 9.5

Step-by-step explanation:

Sorry my bad I forgot to add and divide

Answer:

The median would be 9.5

Step-by-step explanation:

To find our answer we will first put them in numerical order:

3, 5, 7, 8, 8, 9, 10, 10, 10, 11, 12, 15

Now that we have the numbers in order, we will find the middle numbers.  Since the middle numbers are 9 and 10, we will add them both and divide them by 2.

9 + 10 = 19

19 ÷ 2 = 9.5

Therefore 9.5 is our answer!

An aquarium is 8 feet long, 5 feet wide, and 3.4 feet deep. What is the volume of the tank?

Answers

Answer:8x5x3.4= 132 feet squared

Step-by-step explanation:

Help ASAP pls help me I need help like ASAP im being timed

Answers

Answer:

115

Step-by-step explanation:

Answer:

155

Step-by-step explanation:

Have a good day :)

when did the united states get it independence​

Answers

Answer:

4th July 1776

Step-by-step explanation:

4th July is marked as independence day

In 1776 ...................

Evaluate if a =4&b= 7
28 + b +7
Plss help

Answers

Answer:

a=4

Step-by-step explanation:

pls give me harts thank u!

SOMEONE!!!

QUESTION: What is the measure of each angle in a regular polygon with 6 sides?

Answers

Answer:

polygon do all the number times each outher divided in half then times 6 for the hight and langht

Step-by-step explanation:

The diagram shows two rectangles which have the same area . Find the value of y.​

Answers

Answer:

y = 4

Step-by-step explanation:

Since the 2 rectangles have the same area, then

12.5 × 2y = 5 × 20

25y = 100 ( divide both sides by 25 )

y = 4

Which angle has its terminal side on the negative x-axis?

Answers

Answer:

π radians

Step-by-step explanation:

*view photo*

between which two consecutive numbers does the square root below lie ?
[tex] - \sqrt{128} [/tex]

Answers

Answer:

where is the second one?

Step-by-step explanation:

Connie is 4 years younger than Max. Max is twice as old as Tom. If Tom is t years old, how old is Connie in terms of t?

Answers

Answer:

8t

Step-by-step explanation:

c = 4m

m = 2t

c = 4(2t) = 8t

Answer:

2t-4

Step-by-step explanation:

Tom: t.

Max is twice as old as Tom - 2t.

Connie is 4 years younger than Max - 2t-4.

So, Connie is 2t-4 years.

Please mark me as brainliest if you like the answer! :)

#1 How much will the seed cost to seed the grass area above? The seed
costs $23 for a 10 lbs bag that covers 12 feet with a 9% sales tax. *

Answers

Answer:

Step-by-step explanation:

what is the area of a triangle with base 18cm and height 4cm

Answers

Answer: The area of the triangle would be “36cm^2”

Explanation: To find the area of a triangle you multiply the height and base and divide it by 2 so it would look like this 18 x 4 = 72 then 72/2 which is 36cm^2.

Have a nice day!

Answer:

Area=36

Step-by-step explanation:

18x4=72

72/2=36

A hockey goalie got shot on 18 times . She saved 10 of the shots . Which ratio represents the amount of shots that went in to the amount of shots she saved ?

Answers

Answer is   4:5

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

Explanation:

She saved 10 shots out of 18 total, so that means 18-10 = 8 shots went in.

That forms the ratio 8:10 where we list the amount of shots that went in, followed by a colon, then the amount of shots that were saved. The order is important. From here, we divide both parts of the ratio by 2. The ratio 8:10 fully reduces to 4:5

Effectively, this means that for every 4 shots that went in, there were 5 shots that were blocked.

4:5

Saved shots: 10
Shot in: 8
8:10 -> 4:5 (simplified)

Find five rational numbers between 3/5 and 4/5

Answers

Answer: 19/30, 20/30, 21/30, 22/30, 23/30.

I NEED HELP PLSS ITS LIKE 200 POINTS

Answers

Answer:

y=-3/2x+3

Step-by-step explanation:

(0,3) and (2,0) tell us that the y intercept is 3 because at x = 0, y = 3.

This leaves the first and last choice only.

We can calculate the slope by 0-3 and 2-0, so -3/2 is the slope

-3/2x+3 Is the correct answer
Other Questions
Dan spent 0.125 of his money in snacks, 1/4 on travelling and saved therest. If he saved $65, how much money did he have at first? The Civil Rights Act of 1964 prohibited discrimination because of race, religion, national origin, and gender. This is most like whatamendment to the Constitution?a1st13thOb 14thOd15the16thNone of these. propose 3 solutions that address that sources of global warming Write each ratio in fraction form. Then write the percent equivalent.9. 88 out of 132 how can discussions,projects, campaigns and events support victims of Human Rights violation by cyberbullying equations equivalent to x/4+1/3=5/6 67-2x+89/2+7-8x=0help me please The quotient of Alices income and 12 is 1,500 What is the probability that a randomly selected student who lives in Nebraska plans to stay in his or her home state after graduation? Round your answer to the nearest hundredth. Please help!! I need answers to all them please and thank you! Whats the volume of this prism? PLEASE HELP I AM SO CLOSE TO FAILING. CH4+xO2=CO2+2H2O. Find x Please solve! I will give brainiest. Use the image to answer the question.Based on the illustration showing freed people with Union Army soldiers, what assumption is the artist making about the effects of the EmancipationProclamation?A. Former slaves would fight for the Union Army against the SouthB. Former slaves would welcome the arrival of the Union armyC. Former slaves would not be allowed to live in the North.D. Former slaves would continue to be enslaved in the North PLEASE HELP IM BEING TIMED "... it is the government's duty to protect citizen's rights. When governments do not, they can be rightfully overthrown."The American founders drafted the Declaration of Independence based on the above quote. Which of the following men is credited with making the above statement?Thomas JeffersonJohn LockeCharles-Louis MontesquieuBenjamin Franklin What is the initial source of energy in all ecosystems? On April 1, 2019, Waterway Industries purchased new machinery for $480000. The machinery has an estimated useful life of five years, and depreciation is computed by the sum-of-the-years'-digits method. The accumulated depreciation on this machinery at March 31, 2021, should be Match the form of "dance" with its verb tense. 1. dance 1 present 2. danced 3 future 3. will dance 5 past perfect 4. have danced 2 past 5. had danced 6 future perfect 6. will have danced 4 present perfect "Everyone understands how praiseworthy it is for a prince to remain true to his word and to livewith complete integrity without any scheming. However, we've seen through experience how manyprinces in our time have achieved great things who have little cared about keeping their word andhave shrewdly known the skill of tricking the minds of men; these princes have overcome those whoseactions were founded on honesty and integrity.Explain what you think Machiavelli is saying. Do you agree or disagree with him?