Find the derivative of Y=2xcos2x​

Answers

Answer 1

Answer:

Y' = -xsin(2x) + 2cos(2x)

Step-by-step explanation:

For this problem, we will need to use the product rule since you have two terms that contain the variable x.

The product rule is simply as follows:

The derivative of the function is the product of the first term times the derivative of the second term plus the derivative of the first term times the second term.

Note the derivative of 2x with respect to x, is 2.

Note the derivative of cos(2x) with respect to x is (-1/2) sin(2x).

With this in mind, let's find the derivative of our function with respect to x.

Y = 2xcos2x

Y = 2x * cos(2x)

Y' = 2x * (-1/2)sin(2x) + 2 * cos(2x)

Y' = (2x * -1 / 2) sin(2x) + 2 * cos(2x)

Y' = (-x)sin(2x) + 2cos(2x)

So the derivative of our function is Y' = -xsin(2x) + 2cos(2x) according to the application of the product rule.

Cheers.


Related Questions

I need help with this Operation, 5-(1-5÷(-5)(5+1))? Please help me, I don't know what to do. ​

Answers

Answer:

-2

Step-by-step explanation:

5-(1-5÷(-5)(5+1))

Work the parentheses from the inside out

5-(1-5÷(-5)*6)

Them the Work inside the last parentheses and multiply and divide from left to right

5-(1-5÷(-5)*6)

5 divided by -5 = -1

5-(1-(-1))*6)

-1 * 6 = -6

5-(1- -6)

Then subtract

1 - -6 = 1+6 = 7

5 - (7)

Subtract

-2

Answer:

[tex]\Huge \boxed{-2}[/tex]

Step-by-step explanation:

[tex]\displaystyle 5-(1-\frac{5}{-5} (5+1) )[/tex]

Solving for brackets.

[tex]\displaystyle 5-(1- (-1)(6))[/tex]

[tex]\displaystyle 5-(1+6)[/tex]

[tex]5-7[/tex]

Subtracting both numbers.

[tex]=-2[/tex]

The three incoming currents at a
node in an electrical circuit
measure 0.38 amps, 0.75 amps,
and 0.29 amps. Two of the three
outgoing currents measure 0.48
amps and 0.6 amps. Find the
measure of the third outgoing
Current


PLS HELP

Answers

Answer:

Measure of the third outgoing current will be 0.34 ampere.

Step-by-step explanation:

Kirchhoff's Current Law states that total current entering a circuit's junction is exactly equal to the total current leaving the same junction.

By this rule,

Sum of input three currents = Sum of three outgoing currents

0.38 + 0.75 + 0.29 = 0.48 + 0.6 + i

1.42 = 1.08 + i

i = 0.34

Therefore, measure of the third outgoing current will be 0.34 ampere.

margo draws a triangle. The lengths of the sides of he triangle are 8 inches, 15 inches, and 17 inches. Margo uses the area of three squares to show that the triangle is a right triangle. Which of these could be the area, in square units, of a square that margo uses.

Answers

Answer:

Either of the following square values:

[tex]8^{2} =64 \,\,in^2\\15^2= 225\,\,in^2\\17^2=280\,\,in^2[/tex]

Step-by-step explanation:

The three possible answers correspond to the square of the sides of the triangles via the Pythagorean theorem. And these are:

[tex]8^{2} =64 \,\,in^2\\15^2= 225\,\,in^2\\17^2=280\,\,in^2[/tex]

plz answer it, plz answer it, plz answer it.plz answer it, plz answer it, plz answer it.

Answers

Answer:

Option (C)

Step-by-step explanation:

x and y are two rational numbers.

Two inequalities which define these numbers are,

x + y < 5 ------(1)

3 < x < 5 -------(2)

In this question we will substitute the values of y given in the options in the inequality (1) to get the value of x. If the value of x satisfies the inequality (2), it will be the answer.

Option (A). y = [tex]\frac{8}{3}[/tex]

From inequality (1),

[tex]x+\frac{8}{3}<5[/tex]

[tex]x<5-\frac{8}{3}[/tex]

x < [tex]\frac{7}{3}[/tex]

x < 2.33

But 3 < x < 5, therefore, y = [tex]\frac{8}{3}[/tex] is not the answer.

Option (B). y = 2

x + 2 < 5

x < 3

But x is greater than 3. Therefore, Option (B) will not be the answer.

Option (C). y = 0

x + 0 < 5

x < 5

Inequality (2) states the same thing.

Therefore, Option (C) will be the answer.

Option (D). y = 3

x + 3 < 5

x < 5 - 3

x < 2

But x > 3, therefore, Option (D) will not be the answer.

Answer:

C is correct because if x is less than 5 and greater than 3 than is would most likely be 4 and 4 plus 0 equals 4 the problem says x plus y should be less than 5 and 4 plus 0 is less than 5

Step-by-step explanation:

Long answer short the answer is c

1. En el numeral 341, 427,538 ¿Cuál dígito está en el lugar de la centena de millón? * (1 Punto) A. 2 B. 7 C,4 D. 3 ​

Answers

Answer: D: 3.

Step-by-step explanation:

Ok, vamos a contar los dígitos de derecha a izquierda.

El dígito que ocupa el lugar de la centena de millón va a ser el 9. (o el primero contando de izquierda a derecha).

en el numero 341,427,538 el noveno dígito es un 3.

Entonces el numero que esta en el lugar de la centena de millón es un 3

La opción correcta es D

which is greater 7.6 or the square root of 55

Answers

Answer:

Step-by-step explanation:

7.6 is greater

7.6 is greater the square root of 55 is 7.416

a number raised to the fourth power

Answers

Answer:

a number raised to the power fourth is given in the above picture. where, X is any number..

Combine like terms to create an equivalent expression. -(4)/(7)p+(-(2)/(7)p)+(1)/(7)

Answers

Answer:

-6/7p + 1/7

Step-by-step explanation:

Like Terms: terms that have the same variables and powers

In this equation the like terms are -4/7p and -2/7p

First solve that, which will be -6/7p + 1/7

You have to leave the 1/7 alone because there aren't any more numbers with no variables.

Answer:

Step-by-step explanation:

You can only combine terms that are the same, which means you can only combine the fractions with p attached. A + and - make a -. The second fraction changes to negative or subtraction which ever way you want to say it.  -4 - 2 = -6 and the bottom number always stays the same  and you keep the letter attached. You can not combine 1/7 because it does not have a p attached. You would leave it the same. [tex]\frac{-6}{7}p +\frac{1}{7}[/tex]

kindly help me with this ​

Answers

Answer:

Rani's

Step-by-step explanation:

● Rani's shape is a regular hexagon

● The sides of a regular hexagon are the same length

Anita's shape has the longest side.

Jason with 120 and is going 10 pounds each month Gerardo weighs 150 pounds and is having 4 pounds each month . Write an equation that shows how many months , m , it will take for Jason weigh the same as Gerardo


Answers

Answer:

5 months

Step-by-step explanation:

Jason's original weight = 120 pounds

Let the no. of months be m

If he gains 10 pounds in each moth , then his weight in m months will be = 10m

His total weight will be= 120+10m  -----(1)

Gerardo's original weight = 150 pounds

If he gains 4 pounds in each month , then his weight in m months will me =4m

His total weight will be = 150+4m-----(2)

Equating (1) ans(2)

120+10m=150+4m

=>10m-4m=150-120

=>6m=30

=>m=[tex]\frac{30}{6}[/tex]

=>m=5

It will take 5 months for Jason to weigh the same as Gerardo

a two digit number is chosen at random. funny the probability that the number is less than 20​

Answers

Answer:

2/20

probability =1/10

Answer:

[tex]\Large \boxed{\frac{1}{10} }[/tex]

Step-by-step explanation:

The two-digit numbers are :

10.11.12.13.14.15.16.17.18.19.20.21.22.23.24.25.26.27.28.29.30.31.32.33.34.35.36.37.38.39.40.41.42.43.44.45.46.47.48.49.50.51.52.53.54.55.56.57.58.59.60.61.62.63.64.65.66.67.68.69.70.71.72.73.74.75.76.77.78.79.80.81.82.83.84.85.86.87.88.89.90.91.92.93.94.95.96.97.98.99.

There are 90 two-digit numbers.

The two-digit numbers less than 20 are :

10.11.12.13.14.15.16.17.18.19

There are 9 two-digit numbers that are less than 20.

P(two-digit number less than 20) = [tex]\frac{9}{90} =\frac{1}{10}[/tex]

A pizza restaurant offers 6 toppings to choose from for their pizzas, and no toppings is considered a plain cheese pizza. How many different pizza topping combinations are possible if the maximum number of allowed toppings is 3 and toppings can't repeat

Answers

Answer: 120

Step-by-step explanation:

Given : Total toppings = 6

Number of toppings needs to be selected = 3

Also if repetition of toppings is not allowed , then the number of combinations are possible = 6 x 5 x 4   [First we choose 1 out of 6 , then 1 out of remaining 5 and then 1 out of 4,then multiplying the choices for 3 toppings]

=  120

Hence, the number of different pizza topping combinations are possible if the maximum number of allowed toppings is 3 is 120 .

Help will 1,3,5,6!!!!!!!!!!

Answers

Problem 1

To convert from gallons to cups, we multiply by 16 since 1 gallon = 16 cups

Therefore, 4 gallons = 64 cups

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

Problem 3

1 hour = 60 minutes

4 hours = 240 minutes (multiply both sides by 4)

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

Problem 5

100 cm = 1 meter

1 cm = 0.01 meter (divide both sides by 100)

53 cm = 0.53 meter (multiply both sides by 53)

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

Problem 6

1 foot = 12 inches

3 feet = 36 inches (multiply both sides by 3)

1 yard = 3 feet

1 yard = 36 inches

2 yards = 72 inches (multiply both sides by 2)

Find the least value of x which satisfies
the equation 4x = 7 (mod 9).

Answers

Answer:

just free your mind drink water and go outside take fresh air you will get answers.

Explanation:

This a best method to solve the answer.I hope it is helpful to you

need help dont know how to find the coordinates of D and how to find value of Y

Answers

Answer:

Y°= 115

D = (3,1)

Step-by-step explanation:

For y, your just looking through the vertex. essentially if its 115 on one side it's going to be the same on the other because it all has to be equal, and that's how vertex's work.

for D. Read the instructions and make a square

x goes first then y

express each number in scientific notitatio 43,000= 0.0072= 0.0000901=

Answers

Answer:

43,000: 4.3×10^4

0.0072: 7.2×10^-3

0.0000901: 9.01×10^-5

Step-by-step explanation:

scientific notation: a×10^b, where should be 0<a<10

Step 1. Count the zeros

Step 2. Look at the number left, and determine whether or not it fits in the range of [a]. If not, we divide or multiply 10 to get it fit

------------------------

43,000: 4.3×10^4 (since 43 does not fit, we divide by 10 to get it fit)

0.0072: 7.2×10^-3 (since 0.72 does not fit, we multiply 10 to get it fit)

0.0000901: 9.01×10^-5 (since 0.901 does not fit, we multiply 10 to get it fit)

Hope this helps!! :)

Please let me know if you have any question

The graph below represents the amount of change Jaxon would receive, y, if he bought a item with a cost of x. Which equation represents the graph?

1. y = 10 – x

2. y = x – 10

3. y = –x – 10

4. y = 10 + x



PLS help!!!

Answers

Answer:

1. y = 10 - x

Step-by-step explanation:

Because he starts off with 10 dollars, and x is the amount he spends on an item, y is showing the change that he would get from paying with a 10 dollar bill, so it's what's left over from that 10 dollars.

Answer: the answer is A I just took the quiz

Step-by-step explanation:

The retail price of a smartphone is $600. You purchase the phone by making 24 equal monthly payments.
The amount of each monthly payment is $|

Answers

you have to divide 600 dollars by 24 months which equals $25 so you have to pay $25 dollars every month for 2 years.

(if you want to check you can multiply 25x24)

The answer: $25

Given that cos x° =Sin (3x +10)
find tan X°​

Answers

Answer:

the answer is tan 20 =0.364

Step-by-step explanation:

we can write sin(3x+10)= cos{90-(3x+10)}

now

cosx= cos{90-(3x+10)}

eliminating cos from both sides we get

x=90-3x-10

4x=80

x=20

tan 20=0.364

it can be 40 also

if we take the sin part

Use the distributive property to find an equivalent expression for each of the following: a. 3(x + y) b. −(2x + 1) c. −4(x + 3y)

Answers

Answer:

a.   3x+3y

b.  -2x-1

c.  -4x-12y

Step-by-step explanation:

basically u just multiply

a. 3(x + y)  

=3x+3y

b. −(2x + 1)

=-2x-1

c. −4(x + 3y)

=-4x-12y

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                        PEACE!

Answer:

a)3x+3y

b)-2x-1

c)-4x-3y

Step-by-step explanation:

a)3(x+y)

3x+3y

b)-(2x+1)

-2x-1

c)-4(x+3y)

-4x-12y

Note:

-&+=-

+&+=+

+&-=-

-&-=+

Hope this helps ;) ❤❤❤

If m and n are off then is mn even?

Answers

Answer:

No, mn is not even if m and n are odd.

If m and n are odd, then mn is odd as well.

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

Proof:

If m is odd, then it is in the form m = 2p+1, where p is some integer.

So if p = 0, then m = 1. If p = 1, then m = 3, and so on.

Similarly, if n is odd then n = 2q+1 for some integer q.

Multiply out m and n using the distribution rule

m*n = (2p+1)*(2q+1)

m*n = 2p(2q+1) + 1(2q+1)

m*n = 4pq+2p+2q+1

m*n = 2( 2pq+p+q) + 1

m*n = 2r + 1

note how I replaced the "2pq+p+q" portion with r. So I let r = 2pq+p+q, which is an integer.

The result 2r+1 is some other odd number as it fits the form 2*(integer)+1

Therefore, multiplying any two odd numbers will result in some other odd number.

------------------------

Examples:

3*5 = 157*9 = 6311*15 = 1659*3 = 27

So there is no way to have m*n be even if both m and n are odd.

The general rules are as follows

odd * odd = oddeven * odd = eveneven * even = even

The proof of the other two cases would follow a similar line of reasoning as shown above.

D
Find the perimeter Of a
regular pentagon with sides 6cm
20cm
26cm
30cm
36cm
42 cm

Answers

Answer: To find the perimeter of a shape, we need to add the value of all of the sides. Here, we are given the values:

6cm

20cm

26cm

30cm

36cm

42 cm

All of these added together are equal to 160, so the perimeter of the shape is 160cm.

Answer:

perimeter = 160 cm

Step-by-step explanation:

perimeter = add all sides

perimeter = 6 + 20 + 26 + 30 + 36 + 42

perimeter = 160 cm

Three consecutive numbers are such that when they are taken in increasing order and multiplied by 2,3and 4 respectively, they add up to 74. Find these numbers.

Answers

Answer:

7 , 8 , 9

Step-by-step explanation:

Assume three consecutive number are,

x , (x+1) , (x+2)

Multiplied by 2 ,3 and 4 respectively

2x , 3(x + 1) , 4(x + 2)

Sum of all = 74

So,

2x + 3(x + 1) + 4(x + 2) = 74

2x + 3x + 3 + 4x + 8 = 74

9x + 11 = 74

9x = 63

x = 7

So,

x , (x+1) , (x+2)

7 , (7+1) , (7+2)

7 , 8 , 9

Ummm are irrational numbers real numbers?

Answers

Answer:

Yes.

Explanation:

Irrational numbers are real numbers, they just aren't rational.

For example:

3.55555... and 4.31524363....

Answer:

A real number that can NOT be made by dividing two integers (an integer has no fractional part). "Irrational" means "no ratio", so it isn't a rational number. ... Example: π (the famous number "pi") is an irrational number, as it can not be made by dividing two integers.

Step-by-step explanation:

hope this helps

put it in standard form. 4x² + 3x³ - 6x

Answers

Answer:

3x^3+4x^2-6x

Step-by-step explanation:

Help!!(thank you so much)

Answers

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Or just subtract

9.884 * 10^6 - 1.009 * 10^7=

− 2.05999999 × 10^5

Rounded up is:

− 2.06× 10^5

(❁´◡`❁)

(1 + 4i)^2

Solve please?

Answers

Answer:

-15 + 8i

Step-by-step explanation:

(1 + 4i)²

(1 + 4i) (1 + 4i)

FOIL - first -- outer -- inner -- last

F -- 1 x 1 = 1

O -- 1 x 4i = 4i

I -- 4i x 1 = 4i

L -- 4i x 4i = 16i²

combine terms

1 + 4i + 4i + 16i²

simplify

1 + 8i + 16i²

(i² = -1)

simplify further

1 + 8i + (16)(-1)

1 + 8i - 16

-15 + 8i

given the indicated terms of an arithmetic sequence a3=1, a33=22 find the first term

Answers

Answer:

The first term is a = 0.4.

Step-by-step explanation:

We are given the indicated terms of an arithmetic sequence; [tex]a_3[/tex] = 1, [tex]a_3_3[/tex] = 22.

As we know that the nth term of the A.P. is given by;

[tex]a_n=a+(n-1)d[/tex]

where, a = first term and d = common difference

Now, the third term of AP is given as 1, this means;

[tex]a_3=a+(3-1)d[/tex]

[tex]a+2d=1[/tex]

a = 1 - 2d  --------------- [equation 1}

Also, the 33rd term of AP is given as 22, this means;

[tex]a_3_3=a+(33-1)d[/tex]

[tex]a+32d=22[/tex]

[tex]1-2d+32d=22[/tex]     {using equation 1}

[tex]30d=21[/tex]

[tex]d=\frac{21}{30}[/tex]

d = 0.7

Putting the value of d in equation 1 we get;

[tex]a=1-(2 \times 0.7)[/tex]

a = 1 - 1.4 = -0.4

Hence, the first term of an AP is -0.4.

The temperature one afternoon at 3 PM
was 66 degrees and by 10 PM it was 17
degrees. What was the total change in
temperature?

Answers

Answer:

Your answer is 49 degrees

Step-by-step explanation:

66 - 17 = 49

Which inequality is equivalent to the statement below?
The opposite of n is between -3 and 0.
А
-3 00
3<-n<0
с
-3 D
3

Answers

Answer:

A

Step-by-step explanation:

The opposite of a number is simply the number multiplied by -1 so the opposite of n is -n. "Between -3 and 0" tells us that the inequality is -3 < -n < 0.

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