Mathematics College

2. Determine the numbers x between 0 and 2pi where the tangent line to the curve is horizontal.

Need help ASAP

2. Determine The Numbers X Between 0 And 2pi Where The Tangent Line To The Curve Is Horizontal.Need Help

Answers

Answer 1

Assuming the curve is

y = cos(x) - √3 sin(x)

differentiate once to get dy/dx, which gives the slope of the tangent line to y at some point x. The derivative is

dy/dx = -sin(x) - √3 cos(x)

The tangent line is horizontal when the derivative is 0, so you end up having to solve

-sin(x) - √3 cos(x) = 0

sin(x) = -√3 cos(x)

sin(x)/cos(x) = tan(x) = -√3

x = arctan(-√3) + nπ

(where n is an integer)

x = -arctan(√3) + nπ

x = -π/3 + nπ

You get two solutions in the interval [0, 2π] when n = 1 and n = 2, for which

x = 2π/3   or   x = 5π/3

Related Questions

5(a^6+2a^5)-6a(5a^4-7a^3)

Answers

Answer:

a4(5a2−20a+42)

Step-by-step explanation:

Factor 5(a6+2a5)−6a(5a4−7a3)

5a6−20a5+42a4

=a4(5a2−20a+42)

Make me brainliest!

Complete the statements about the shapes on the graphs

Answers

there is nothing here

What is the awnsers helppppp

Answers

Answer: 0.77

Step-by-step explanation:

Answer:

0.23

Step-by-step explanation:

the chart adds up to 1 as a whole so 23% chose football and there is a 23% chance the next person will also choose football.

Which equation best matches the graph shown below?

Answers

Answer:

y=0.5(x+6)(x+5)

Step-by-step explanation:

Since the parabola goes upwards as it expands from the vertex, the "a" value is definitely positive so the answer must be either the top-left or bottom-right. Next, use the roots to find the final answer. The roots are on the left side of the y-axis which indicates that they are negative. Now you know that the answer is the bottom-right answer because if both roots are negative, then the expressions must include addition to create 0 which is the y-value at the bases.

How do I solve this math problem? The answer is: x = a^2/a-3

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The size of a large milkshake is 1.4 times the size of a medium milkshake. Write 1.4 as a percent. F u

Answers

1.4 as a percent is 140%

Answer:

1.4%

Step-by-step explanation:

1.4 = [tex]\frac{14}{1000}[/tex]

    =[tex]\frac{14/10}{1000/10}[/tex]

    =[tex]\frac{1.4}{100}[/tex]

    =1.4%

Motorbikes have two wheels and cars have four wheels. There are a number of
motorbikes and cars in a parking lot. There are 14 motorbikes. Altogether, there are
324 wheels. How many cars are in the parking lot?
A.74 cars
B.148 cars
C.296 cars
D.310 cars​

Answers

Answer:

74 Cars

Step-by-step explanation:

If each motorbike has 2 wheels then we need to find how many wheels the motorbikes already take up.

We do this by doing 14*2 and we get 28 wheels.

Afterwards, we subtract this from the total of 324 to see how many wheels are left over. 324-28=296

Now we know the remaining amount of wheels and with this we can get our final answer!

Since there are 296 remaining wheels and each car takes up 4 we can divide 296 by 4 to see how many cars would be able to get their full set of tires.

296/4 = 74 and that;s how you get 74 cars!

*I think LOL*

6 +7 ( □ +7 5) = 1

help me pls

Answers

Answer:

Can't be possible.

Step-by-step explanation:

Given:

6+7(x+75)=1

So according to given equation it can't be possible because when we add some value in 6 their result will be always greater than 1.

What is wrong with this dot plot?

Answers

Step 1: Assess the key characteristics. Examine the peaks and spread of the distribution. ...
Step 2: Look for indicators of nonnormal or unusual data. Skewed data and multi-modal data indicate that data may be nonnormal. ...

20+20+60+40+20+20+10+10

Answers

Answer:

200

Step-by-step explanation:

Answer:

200 :)

hope that helps!

in order for the parallelogram to be a rhombus x=?

Answers

Answer:

x = 12

Step-by-step explanation:

In a rhombus, the diagonal is also the bisector of the angle, so the two vlaue must be congruent

2x + 35 = 8x- 37

6x = 72

x = 12

What is the value of z in the equation 3z+9=z?

Answers

In the exact form, Z equals -9/2

PLEASE HELP!!!!

WILL MARK BRAINLIEST!!!

Solve for X.

Multiple choice!

Thank you!

Answers

Answer:

6x - 21 = 105 (vertically Opposite angles)

6x = 105 + 21

6x= 126

x=126/6

x= 21°

That should be the fifth option

OR

Another Way of solving

(6x - 21) + 75 = 180 ( angles on a straight line)

6x -21 + 75 =180

6x + 54 = 180

6x =180 - 54

6x = 126

x=126/6

x=21°

[tex] \large \sf \star \: \green{Answer} \: \star[/tex]

x = 21 °

Step-by-step explanation:

Here,

Angle 75 ° and ( 6 x - 21 ) are on straight line so it's supplementary angles and we know that sum of all angles of supplementary angles is 180 °.So, 6 x - 21 ° + 75 ° = 180 °

6 x - 21 ° + 75 ° = 180 °

6 x + 54° = 180 ° ...( Combine like terms)

subtract 54 ° from each sides

54° - 54° + 6 x = 180 ° - 54 °

6 x = 126°

x = 126 ° / 6 ...( Divide by 6 )

x = 21 °


In the diagram below of RST. L is a point on RS, and M is a point on RT, such that LM parallel to ST
If RL = 3 LS= 12 LM=7. and ST=x+ 2, what is the length of ST?

Answers

Answer:

ST is 28

Step-by-step explanation:

Using the similarity formla

RL/LS  = LM/ST

3/12 = 7/x+2

3(x+2)=84

x +2= 84/3

x+2 =  28

x= 28-2

x = 26

ST = x+2

ST = 26+2

ST = 28

Hence the length of ST is 28


Which is a factor of 10?
OA. 40
B. 10
C. 30
D. 20

Answers

Answer:  B.  10

Explanation: Any number is a factor of itself.

We can rule out choices A, C and D because those values are larger than 10. They are multiples of 10, but not factors of 10.

What is the solution to this equation?

6(x – 5) = 4x + 20

Answers

Answer:

x = 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

6(x - 5) = 4x + 20

Step 2: Solve for x

[Distributive Property] Distribute 6:                                                                 6x - 30 = 4x + 20[Subtraction Property of Equality] Subtract 4x on both sides:                      2x - 30 = 20[Addition Property of Equality] Add 30 on both sides:                                  2x = 50[Division Property of Equality] Divide 2 on both sides:                                  x = 25

Answer:

x = 25

Step-by-step explanation:

The first step would be to distribute the 6 to x and -5. That gives us 6x - 30. Then you would subtract the 4x from both sides to get 2x - 30 = 20. You can now add the 30 to both sides leaving us with 2x = 50. Divide both sides by 2 to isolate the x. You have your final answer of x = 25 now. You can always put 25 back in the equation to check by substituting out x.

Which inequality about the number line shown below is true

Answers

i got it wrong dont lisen to this

Answer:

option D

Step-by-step explanation:

D is equal to 0 that is greater than B which is -2 by theory

If f(x) = 4x - 3 and g(x) = x + 4, find (f-g)(x).

A. 3x-7
B. 5x-1
C. 5x - 7
D. 7 - 3x

Answers

9514 1404 393

Answer:

  A.  3x -7

Step-by-step explanation:

Substitute for f and g, then collect terms.

  (f -g)(x) = f(x) -g(x) = (4x -3) -(x +4)

  (f -g)(x) = 4x -3 -x -4 = (4-1)x +(-3-4)

  (f -g)(x) = 3x -7

How do you know the absolute value of a number?

Answers

Step-by-step explanation:

It is very simple

Any number's absolute value should be positive

Let's say absolute value of 3 - >answer is 3

But absolute value of - 3 - > is also 3

Hope you understood it.

Answer:

Step-by-step explanation: In order to find the absolute value all you do is see what number you have and turn into an positive, say "what is the absolute value"  of -5" it would just be 5,

Hope this helps :)

wegnerkolmp2741o can you please answer this I will mark brainliest

An isosceles triangle has two 5.5 cm sides and two 32.4° angles. Explain how to determine the perimeter of the triangle. Include a diagram in your solution. You do NOT need to solve.

Answers

Answer:

see below

Step-by-step explanation:

The drawing in blue is what we are told in the problem.

We are given two sides and two angles.  It is an isosceles  triangle with two equal sides and two equal angles.  Draw a perpendicular bisector  ( it makes a 90 degree angle.  Now we have two identical right triangles.  We can use trig functions to find x

cos theta = adj/ hyp

cos 32.4 = x / 5.5

Solving for x

5.5 cos 32.4 =x

Now we have 2x for the third side of the triangle

2( 5.5 cos 32.4) is the third side

P = 5.5 + 5.5 + 2( 5.5 cos 32.4)

Answer:

See the Below

Step-by-step explanation:

Draw a circle with a radius of 5.5 and center at A.

Take any point B on the circle and join AB.

Draw a line thru B making an angle 32.4 with AB which intersects the circle at D. Extend AD on both sides.

Draw two circles with a radius of 5.5cm and centers B and D which intersect the line BD at E and F.

Measure length EF, which is the perimeter of triangle ABD.=20.3 cm.

Method 2. Assume that base of the triangle =x cm.

x/2= 5.5 cos 32.4 and x=11*cos 32.4 =11*0.844=9.287

Perimeter = 20.287

How many ounces in 31/2 pounds

Answers

Answer:

248 ounces

Step-by-step explanation:

I hope this helps :D

Answer:

248 ounces is the correct answer hope you will like it and Mark me as BRAINLIEST!!!!

Martin deposits $200 in a savings account that earns 5% annual interest. Four years later, Cary deposits $200 in an account earning the same interest. Let M represent the balance in Martin’s account and let C represent the amount of money in Cary’s account.

Answers

Complete question :

Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earning the same interest. let m represent the balance in martins account and let c represent the amount of money in carys account. choose the pair of expressions that describe the accounts y years after martin opened his account. martin: 200(1.05)y cary: 200(1.05)y+4 martin: 200(1.05)y+4 cary: 200(1.05)y4 martin: 200(0.05)y cary: 200(0.05)y4 martin: 200(1.05)y cary: 200(1.05)y4 choose the equation that relates the balances in the accounts y years after martin opened his account. c = m(1.05)4y m = c(1.05)4y c = 1.22m m = 1.22c

Answer:

m = m = 200(1.05)^y+4

c = m = 200(1.05)^y

m = 1.22c

Step-by-step explanation:

The future value can be represented as :

Future value, F = P(1 + r)^n

r = interest rate = 5% = 0.05 , n = number of years ;

For Martin :

m = 200(1 + 0.05)^n

For cyan :

c = 200(1 + 0.05)^n

y years after Martin

Cyan opened 4 years after Martin :

Representing in terms of y

Cyan = y ; Martin = y +4

m = m = 200(1.05)^y+4

c = m = 200(1.05)^y

From. Indices :

(1.05)^y+4 = 1.05^y * 1.05^4

Hence,

m = 200 * 1.05^y * 1.05^4

c = 200 * 1.05)^y

Hence,

m = c * 1.05^4

m = c * 1.2155

m = c * 1.22

m = 1.22c

Answer:

the first question is d and so is the second one

PLease help me with this math qestion

Answers

Answer:

n+3 = 15 ; n = 12

3n -6 = 12;  n=6

Step-by-step explanation:

more than means it comes after

a number

n

3 more than

n+3

is 15

n+3 = 15

Subtract 3 from each side

n+3-3 = 15-3

n = 12

Subtract from comes after

three times a number

3n  

six subtracted from

3n -6

is 12 means equal to

3n -6 = 12

To solve add 6 to each side

3n -6+6 =12+6

3n = 18

Divide by 3

3n/3 =18/3

n =6

Answer:

A = 3 - x = 15   B = 6 - 3 times x  = 12

Step-by-step explanation:

Please
Solve for the value of k.

Answers

Answer:

k = 13

Step-by-step explanation:

The sum of the angles is 180 since they form a straight line

4k-7 + 90 + 3k+6 = 180

Combine like terms

7k+89=180

Subtract 89 from each side

7k+89-89 = 180-89

7k =91

Divide each side by 7

7k/7 = 91/7

k = 13

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

132.3328 square centimeters

The area of a rectangle is length x width:
14.26 cm x 9.28 cm = 132.3328

Area is measured in square centimeters, in this case

FINAL ANSWER:

132.3328 square centimeters

HOPE THIS HELPS!

Answer:

132.3328 or 132.33 if you round do the nearest hundredth

Step-by-step explanation:

To find area, just multiply length by width. 14.26x9.28=132.3328

a driver travelled a distance of 864 km in 12 hours what is the speed of car

Answers

answer:

speed= 72 km - per • hour

Answer:

Speed of car = 72 km per hour

For one roadway section, the average number of cars passing a point is 2200 pcphpl (i.e. passenger cars per hour per lane). The cars travel at an average speed of 42 mph. What is the average distance (in feet) between common points (e.g. the front bumper) on successive cars in one lane

Answers

Answer:

The average distance between common points on successive cars in one lane is of 100.8 feet.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

The cars travel at an average speed of 42 mph

Each mile has 5280 feet, so in 1 hour, the distance is of 42 miles = 221760 feet.

2200 pcphpl (i.e. passenger cars per hour per lane).

2200 cars in 221760 feet. Thus:

[tex]d = \frac{221760}{2200} = 100.8[/tex]

The average distance between common points on successive cars in one lane is of 100.8 feet.

simplify the expression (c^7)^9(c^0)^5

Answers

Answer:

 c^63 Your welcome   !!

Step-by-step explanation:

Which of the following expressions are equivalent to 63​? Check all that are true.

Answers

Answer:

A & E

Step-by-step explanation:

Main equation: [tex]6^{3} = 216[/tex]

A. [tex]\frac{6^{7} }{6^{4}} = 6^{3} = 216[/tex]

B. 18

C. [tex](6^{1})^{2} = 36[/tex]

D. 81

E. 6 * 6 * 6 = 216

F. [tex]6^{2} + 6^{1} = 36 + 6 = 42[/tex]

Hope this helps!

Please mark as the Brainliest!

2. 5 9. 14. ?. 27
18
20
21
16
Which is the missing number people :)))

Answers

Answer:

20

Step-by-step explanation:

The pattern goes

+3, +4, +5, +6, +7...

14+6=20

The missing number is 20

The answer is 20
0+2=2
2+3=5
5+4=9
9+5=14
14+6=20 <— the answer
20+7=27
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