find an equation of the tangent line to the curve at the given point. y = 4ex cos(x), (0, 4)

Answers

Answer 1

The equation of the tangent line to the curve at the given point, y = 4ex cos(x), (0, 4) as calculated is y' = 0.

In order to find the equation we will have to differentiate y = 4ex cos(x)

On differentiating we get the differential as ,

y' = - 4eˣsin(x)

given the value of x as 0 and y as 4

y' = -4e⁰sin(0)

  = 0   because sin( 0 ) = 0

Therefore ,the required equation is , y' = 0.

Differentiation is a technique which is used to find the derivative of a  function . Differentiation is a mathematical procedure it determines the rate of change of a function based on one of its variables.

Other than differentiation calculus also has a branch known as integration.

To learn more about differentiation

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Related Questions

Simplify the expression: 20x − 6 − 13x + 19
A. 13x − 6

B. 7x + 13

C. 5x − 7

D. 10x + 11

Answers

Answer: B

Step-by-step explanation:

20x-13x-6+19

=7x+13

Evaluate the expression when m=3. m 2 - 5m + 7​

Answers

Answer:

-2

Step-by-step explanation:

Substitute 3 for m: (3)2 - 5(3) + 7

Simplify: 6 - 15 + 7

Follow PEMDAS and subtract 6 from 15: -9 + 7

Add: -2

Hope this helps ^-^

You said m = 3.

Replace every m you see with 3.

m^2 - 5m + 7

(3)^2 -5(3) + 7

9 - 15 + 7

-6 + 7 = 1

Answer is 1.

4y^2+20y+25
Factor the polynomial completely

Answers

Answer:

(2y+5)^5

Step-by-step explanation:

Use the "PERFECT SQUARE RULE"

Choose the equation below that matches the word sentence: "3 increased
by x is 9."
A.3x = 9
B.3/x = 9
C.3 + x = 9
D.3 - x= 9

Answers

Step-by-step explanation:

32 9655 9655 + 965 + 965 + 965 + 982

Freddy pays $840 per year in
insurance.
How much should he budget
monthly for it?
A) $70
B) $92
C) $140
D) $142

Answers

A)70
Because in 1 year we have 12 months so we divide 840 with 12 we get 70

Mathew builds a model of a house that is 2 in tall, 6 in wide, and 3 in long. The real house is 20 ft tall, 60 ft wide and 30ft tall. What is the scale used to build the house?

Answers

Answer: 1inch : 10 feet

Step-by-step explanation:

Since we are informed that Mathew builds a model of a house that is 2 in tall, 6 in wide, and 3 in long while the real house is 20 ft tall, 60 ft wide and 30ft tall.

For the length, we can see that the relay house is (30/3) = 10 times the model. The same thing is applicable to others as well as the width and height is 10× the scale used. Therefore, the scale used to build the house is 1inch:10 feet

You are interested in finding a 90% confidence interval for the average number of names that people can correctly recall after being introduced to 40 people at a party. Based on past research, you know that the standard deviation for this number is 6.34 names. Suppose you surveyed 55 randomly selected people and found that they correctly remembered an average of 18.16 names. The standard deviation for this group was 4.28 names. Round your answers to two decimal places.

A. The sampling distribution follows a __________ distribution.

B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between ______ and _______

C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About _____ percent of these confidence intervals will contain the true population mean number of names remembered and about ______ percent will not contain the true population mean number of names remembered.

Answers

Answer:

A. The sampling distribution follows a normal distribution

B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28

C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About 90 percent of these confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered  

Step-by-step explanation:

The given parameters are;

The known population standard deviation of the number of names that people can recall after being introduced to 40 people in a party, σ = 6.34 names

The number of people randomly selected in the survey, n = 55 people

The average number of names correctly remembered, [tex]\overline x_1[/tex] = 18.16

The standard deviation of the group surveyed, s = 4.28

A. Based on the Central Limit Theorem CLT, the sampling distribution follows a normal distribution

B. The 90% confidence interval is given as follows;

[tex]C.I.=\bar{x}\pm z_{\alpha /2}\cdot \dfrac{\sigma}{\sqrt{n}}[/tex]

Where [tex]z_{\alpha /2}[/tex] at 90% = 1.65, we have;

[tex]C.I.=18.16\pm 1.65 \times \dfrac{4.28}{\sqrt{55}}[/tex]

C.I. ≈ 17.20 < μ < 19.11

With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28

C. The 90% confidence interval gives the certainty that if different groups of 55 randomly selected people were surveyed, then about 90 percent of the confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered.

Isaiah started with 421 letters. At each stop he makes, he delivers 29 letters. How many letters are leftover?

Answers

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex]I \: \: Think \: \: The \: \: Answer \: \: Is \: \: \red{ \boxed{ \boxed{ \huge{ \tt{{ \: 392 \: }}}}}}[/tex]

Answer:

2.) Isaiah started with 421 letters. At each stop he makes, he delivers 29 letters. How many letters are leftover? *

Step-by-step explanation:

James bought 3 books for $8 each and 4 DVDs for $15 each he paid with a $100 how much change did he receive?

Answers

Answer:

He received $16 change

Step-by-step explanation:

3 books for $18 is $24

4 DVDs for $15 is $60

His total is $84

$100 - $84 = $16

Answer:

6 dollars

Step-by-step explanation:

you multiply 3 by 8 which is 24. Then you multiply 4 by 15 and that's 70. So then you add 24 and 70 together which is 94. Lastly you subtract 94 from 100 and you get 6.

Sandy plays tennis once every 6 six days. Jim plays once every 8 eight days. If they both played tennis today, in how many days will play on the same day.

Answers

24...

8x3=24

6x4=24

Thats the soonest theyll play together.

HURRY PLEASE I DONT WANT TO FAIL

Answers

Answer: 62

Step-by-step explanation: In the red empty spot, the #5 would go there and in the blue spot the #6 would go there. 8x2=16 and 16+16= 32: t=This is for the to rectangle shapes on both sides. Now for the square in the middle, since the red spot is 5 and the blue is 6, 5x6= 30. So, 30+32=62.

62 your answer ^ your welcome

Use the information shown in the line plot.
How many fruit baskets weigh more than
4
1
2
412
pounds and less than
6
pounds?


Enter your answer in the box.



_____fruit baskets

Answers

Answer:

8.

Step-by-step explanation:

5 and 5 1/2 are the only fractions between 4 and 6. There are 4 dots above each, and 4 x 2 = 8. (I know the amount of dots because I had this question.)

There are two baskets that weigh more than 4 but less than 6.

The weights of fruit baskets are:

4, 1, 2, 5, 5(1/2), 6

What is weight?

Weight is the quantity of matter in a physical body.

We can see that fruit baskets that weigh more than 4 pounds but less than 6 pounds are ones with weights of 5 pounds and 5(1/2) pounds.

So, there are two baskets that weigh more than 4 but less than 6.

Thus, there are two baskets that weigh more than 4 but less than 6.

To get more about weight visit:

https://brainly.com/question/2337612

HELP PLEASE ,DUE TONIGHT

Answers

Answer:

Might be C if im wrong sorry

Step-by-step explanation:


Question 2
Use pythagroean theorem to find the value of the missing side. Leave answers in simplest radical form.

Answers

Answer:

C

Step-by-step explanation:

a^2 + 49 = 169

     -49          - 49

        a^2 = 120

√120 = 2√30

Can someone help me please I will give you Brainly if you get it right

Answers

Answer:

Hi! The answer to your question is A. 4 hours

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

4

Step-by-step explanation:                                    

I got it wrong at first but someone corrected me ;n;

(3.15x10^4) (5.15x10^-7 express the result as a decimal

Answers

Answer: 1.62225 x 10^-2 or 0..0162225

Step-by-step explanation:

Please help me❗️❗️
A ball thrown into the air is modeled by the
equation
h(t) = -t2 + 4t + 5. Where h represents
the height of the ball and t represents
time.


What is the starting height of the ball?
What is the time the ball reaches its
maximum height?
What is the maximum height?
When does the ball hit the ground?
How high is the ball 1 second into
flight?

Answers

Answer:

Below in bold.

Step-by-step explanation:

Starting height is when t = 0

It is 5 units.

To find the maximum height we convert the equation to vertex form:

h = -t^2 + 4t + 5

h = -(t^2 - 4t - 5)

=  - [(t - 2)^2 - 9]

= -(t - 2)^2 + 9

From this we see that the ball reaches max height after 2.

Maximum height = -2^2 +  4(2) + 5

= 9 units.

Ball reaches the ground after 2*2 = 4 .

Help Plz
Will mark brainliest

Answers

Answer:

b. [tex] (x - 2) ^{2} - 36[/tex]

d. [tex] (x - 2) ^{2} - 36[/tex]

Step-by-step explanation:

[tex](x + 4)(x - 8) \\ \\ = {x}^{2} - 8x + 4x + 4( - 8) \\ \\ = {x}^{2} - 4x - 32 \\ \\ = {x}^{2} - 4x + 4 - 4 - 32 \\ \\ = {x}^{2} - 4x + {2}^{2} - 36 \\ \\ = (x - 2) ^{2} - 36[/tex]

What is the value of m in the equation 5m = 20.05?



25.05


15.05


4.10


4.01

Answers

divide each side by 5
m = 4.01

please dont give me a file

Answers

The upper quartile is the right edge of the green box.

This is at 300 minutes.

The answer is 300 minutes.

Can someone help me real quick?

Answers

Answer:

2:3

Step-by-step explanation:

You do 8+10 for red and yellow so 12:18 but we need to simplify so 6:9   2:3

2:3 is the correct answer

A tent is in the shape of a triangular prism shown below.



What is the lateral surface area of the prism?

Answers

482939494992934948328292

Distribute and combine like terms: 8(1 + 6 p)

Answers

Answer:

8 + 48p

Step-by-step explanation:

Which equation matches this statement?
Finn buys a toy boat for $45.50 including tax. He was charged 7% sales tax on the original price.

HELPPPP PLEASE!!!

Answers

A) x + .07x = 45.50

X is the price of the toy boat, •07x adds the tax for a total paid of $45.50

Someone help me please extra points & brainlest!

Answers

Answer:

my best bet is d

Step-by-step explanation:

tell me if im wrong

Answer:

7x-11

Step-by-step explanation:

remove parentheses

4x-7+3x-4

group like terms

4x+3x-7-4

add similar elements

7x-7-4

then solve

7x-11

Ahmad invested in a savings bond for 5 years and was paid simple interest at an annual rate of 2%. The total interest that he earned was $800. How much did he invest?

Answers

25,000 per period, good luck

please help if you know the pythagorean thereom

Answers

A squared + b squared= c squared

Answer:

AD= square root of 221

:)

Step-by-step explanation:

Please follow the instructions and thank you and help me fast please

Answers

Answer:

The most important school subject for kids to learn is English. I think it is most important because your improving your fluency in speaking, polishing your writing skills. and also targeting specific skills you need for a particular social envionment.

when taking an english class you Improve your grammer. you are improving it by learning new words and nowing how to pernounce them.

you are polishing your writing skills by having to write essays,summarizes, and other sorts of writing. you also learn all of the elements of writing. learning that is important.

so taking an english class is really important. taking an english class improves alot of different things. it can even help you if you wanted to become a writer.

f(x)=3(x+1)^2-4 then evaluate when x=3

Answers

Step-by-step explanation:

given

[tex]f(x) = 3{(x + 1)}^{2} - 4 \\ f(3) = 3 {(3 + 1)}^{2} - 4 \\ = 3 {(4)}^{2} - 4 \\ = 3(16) - 4 \\ = 48 - 4 \\ = 44[/tex]

Answer:

3(3+1)²-4

3(16)-4

48-4 = 44

Hello, I gotta turn it turn in this question today, help!!!!!!

Answers

Answer:

2 or -2

Step-by-step explanation:

If x² - 8x = -12

Step 1

We find x by solving

x² - 8x = -12

We equate to zero

x² - 8x + 12 = 0

We factorise

x² - 6x - 2x + 12 = 0

x(x - 6) -2(x - 6) = 0

(x - 6) (x - 2) = 0

x - 6 = 0, x = 6

x - 2 = 0, x = 2

x = 6 or 2

Step 2

What is x - 4?

When x = 6

= 6 - 4 = 2

When x = 2

= 2 - 4 = -2

Therefore, x - 4 = 2 or -2

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