i need help with this

Answer:

y=-x+pi/3+sqrt(3)/2

Step-by-step explanation:

*I assume you are asking for help on part a because the other question is a calculator question.*

We want to find tangent line to y=2sin(x)cos(x) at x=pi/3.

First I prefer to use y=sin(2x). (Double angle identity: sin(2x)=2sin(x)cos(x) .)

Differentiate using chain rule:

y'=2cos(2x)

y' gives us the slope for any tangent along our curve.

So at x=pi/3, the slope is 2cos(2×pi/3)=2cos(2pi/3)=2(-1/2)=-1.

We also need to know a point our line to find the equation of our line.

At x=pi/3, y=sin(2×pi/3)=sin(2pi/3)=sqrt(3)/2.

So a point on our line is (pi/3, sqrt(3)/2).

So by point-slope form of a line we have

y-y1=m(x-x1)

y-sqrt(3)/2=-1(x-pi/3)

Distribute:

y-sqrt(3)/2=-x+pi/3

Add sqrt(3)/2 on both sides:

y=-x+pi/3+sqrt(3)/2

Answer:

y= -x+(pi/3)+(sqrt3)/2

Step-by-step explanation:

The given is y=2sin(x)*cos(x)

to take the derivative we will need to use the constant rule (which says when taking the derivative of any constant multiplied by an expression you take the derivative of the function and multiply it by the constant) and the multiplication rule to get

y'=2(sin(x)*-sin(x)+cos(x)*cos(x))

this would simplify to be

y'=-2sin^2(x)+2cos^2(x)

We then substitute in the given x value to find the slope of the tangent line at that point and get

-2sin^2(pi/3)+2cos^2(pi/3)

which simplifies to

-2*3/4+2*1/4

which is -1

Since we have the slope we need to find the y value to go with the original x so that we have a point to use in point slope form. When we substitute pi/3 into the given equation we get (sqrt 3)/2 and have the point (pi/3, sqrt3/2)

now we write the point slope form equation

y-(sqrt3)/2= -(x-pi/3)

y-(sqrt 3)/2 = -x+pi/3

y= -x+pi/3+(sqrt3)/2

you could simplify the last two terms, but I think it is simplest to understand this way.

For b, enter both equations into graphing software or a calculator

Answer:

243.5

Step-by-step explanation:

3409/14 times 7/7

By the way i divided both numerator and denominator by 77 because of gcf

Reduce

487/2

243.5

Answer:

it will rotate 7.5 degrees

Step-by-step explanation:

Answer:

[tex]T(x)=\begin{cases}\frac{3x+1}{2} & x\text{ is odd} \\ \frac{x}{2} & x\text{ is even}\end{cases} \\ for \: instance \: start \: with \: 7 \: \\ which \: is \: an \: odd \: number \\ \frac{21 + 1}{2} = \frac{22}{2} = 11 \\ 11 \: is \: odd \\ \frac{11 + 1}{2} = 6\\ 6 \: is \: even \\ \frac{6}{2} = 3 \\ 3\: is \: odd \\ \frac{9 + 1}{2} = 5 \: \\ 5 \: is \: odd\\ \frac{15 + 1}{2} = 8 \\ 8 \: is \: even \\ \frac{8}{2} = 4 \\ 4 \: is \: even \\ \frac{4}{2} = 2 \: then \: 1 \\ [/tex]

Step-by-step explanation:

Can we connect to 1 for all numbers?

A general proof for a simple pattern seems almost impossible, probably a new branch of mathematics maybe needed to tackle this conjecture...

Answer:

0

Step-by-step explanation:

G

E

M

D

A

S

26 - 14 - (-6) + (-7) - 11

26 - 14 = 12

12 - (-6) + (-7) - 11

12 - 1 = 11

11 - 11 = 0

Answer:

answer is A x = -4 and x = 3

Step-by-step explanation:

-4 , 3

switch the signs

Answer:

The answer is "A."

Step-by-step explanation:

x+4=0. x-3=0

x=0-4. x=0+3

x= -4. x= 3

x = -4 and x = 3

Answer:

Estimate the following (by rounding off to nearest hundred (a)6,941 (b)6,320 (c) 416 (d)126 (e)109 (f)202 (g) 146 (h)7,699 (I)8,311 (j)986

Step-by-step explanation:

Answer:

Where is the expression

Answer:

Its c :)

Step-by-step explanation:

plato

Answer:

b. or 2. When the x-value is 0, the y-value is 1.

Step-by-step explanation:

welcome bestie <3.

The change in volume per minute and the total change in the volume of the solution after 10 minutes will be [tex] - 3 \frac {1}{20} \: litres [/tex] and [tex]- 30 \frac {1}{2} \: litres [/tex] respectively.

Change in the volume of solution in the tank per minute can be calculated thus :

The total change in the volume of solution in the tank after 10 minutes can be calculated thus :

Therefore, the solution in the tank decreases by [tex] 30 \frac {1}{2} \: litres [/tex] after 10 minutes

Learn more :https://brainly.com/question/18796573

Answer:

4.5 degres

Step-by-step explanation:

Answer:

Manuel

Step-by-step explanation:

You should set up a proportion graph first such as r:c where r is the amount of minutes spent on resistance and c is the amount of minutes spent on cardio.

Alex's ratio: 24:30

Carisa's ratio: 15:20

Manuel's ratio: 14:15

Now you have to find the lowest common multiple (lcm) of the cardio minutes. Their lcm is 60. Now the ratios look like this:

Alex's ratio: 48:60

Carisa's ratio: 45:60

Manuel's ratio: 56:60

The ratio with the highest first number is considered larger. In this case its Manuel since he has the number 56.

pogpogii mooooooooooo

Step-by-step explanation:

scale = 1/100000 .

hope this helps you.

Answer:

x=0.2

Step-by-step explanation:

1 / 5 = 0.2

therefore

5 x 0.2 = 1

Answer:

2x+3x+x= 180

6x= 180

x=180/6=30

<DBE = 3x = 3*30 = 90

Step-by-step explanation:

Pls mark as brainliest

Answer:

The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was  released.

The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.

If average rate of change in T(d) for the interval d = 4 and d = 10 is  is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.

Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."

Answer:

In simpler terms, for the edge answer;

A. The same number of tickets was sold on the fourth day and tenth day.

- _ -   long answers scare me...

Step-by-step explanation:

edg- answers ;p

Answer:

6.5555 months

Step-by-step explanation:

$415-$120= $295

Micah will need $295 from his paycheck earnings to be able to afford the guitar.

$295/$45= 6.5555months

Answer:

1.33

Step-by-step explanation:

9514 1404 393

Answer:

  4/3

Step-by-step explanation:

If you're familiar with decimal equivalents (or even if you're not), you can use your calculator to compute the quotient:

  7.5/5.625 = 1.333333333...

The rational number equivalent of the result is 4/3.

__

If you like to work directly with the rational numbers, you can write the ratio as ...

  (7 1/2)/(5 5/8) = (7 4/8)/(5 5/8) = (60/8)/(45/8) = 60/45 = 4/3

Answer:

TRUEeeee

Step-by-step explanation:

bec. there beetwen have a

Answer:

9s = 378t      

is the same as  (9 x 42)   etc...

Step-by-step explanation:

I don't have the choice of answers of what is being said as proportional but an example is here below of what numbers are multiples of 42 and therefore found its proportion this way.

10s = 420t       (10 x 42)

9s = 378t         (9 x 42)   etc...

8s = 336t

7s = 294t

6s = 252t

5s = 210t    (5 x 42)

4s = 168t    etc....

Answer:

Yes

Step-by-step explanation:

Graph this function on your calculator and you will see an upwards graph, if the range (y), -1 can be mapped on the graph, it is within the range.

Answer:Try to see what you have to do and see if you have to divide and add subtract and multiply

Step-by-step explanation:

Given f (x) = 3x^2 - 4x + 2; What is f (-5)

f (-5) = 3x^2 - 4x + 2

f (-5) = 3(-5)^2 - 4(-5) + 2

f (-5) = 3(25) - 4(-5) + 2

f (-5) = 75 + 20 + 2

f (-5) = 97

or

( -5 , 97 )

Given that

[tex]g(x) = x^3 + x[/tex]

the inverse [tex]g^{-1}(x)[/tex] is such that

[tex]g\left(g^{-1}(x)\right) = g^{-1}(x)^3 + g^{-1}(x) = x[/tex]

or

[tex]g\left(f(x)\right) = f(x)^3 + f(x) = x[/tex]

Differentiating both sides using the chain rule gives

[tex]3f(x)^2f'(x) + f'(x) = 1 \\\\ f'(x) \left(3f(x)^2+1\right) = 1 \\\\ f'(x) = \dfrac1{3f(x)^2+1}[/tex]

Then the derivative of f at 2 is

[tex]f'(2) = \dfrac1{3f(2)^2+1} = \boxed{\dfrac14}[/tex]

Answer:

i cant see it

Step-by-step explanation:

Answer:

2. 4y-2xy

Step-by-step explanation:

6y-2y(x+1)=6y-2xy-2y

=4y-2xy