How do you do this question?

How Do You Do This Question?

Answers

Answer 1

Answer:

∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)

Step-by-step explanation:

Start with the Maclaurin series for cos x.

cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!

Substitute ⅓ x².

cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!

cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!

cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)

Multiply by 8x.

8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)

8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)


Related Questions

1. Find the selling price. Cost of a sled: $99.50. Markup: 95%

2. Find the selling price. Original price of a book: $18.50. Discount: 45%

Answers

Answer:

Number 2 is 10 dollars and 17 cents

Number 1 is 194 dollars and 2 cent

Step-by-step explanation:

Question 1 of 10
What is the slope of the line shown below?
10
(3,9)
O A.
5
B. 4
(1,1)
-5
10
15
O C. -
1
4
O D.-4
SUBMIT

Answers

I’m pretty sure it’s B because of rise over run.

The slope of the given line is 4.

What is slope?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Given that, a line passing through points (3, 9) and (1, 1) we need to find the slope of the line,

Slope = y₂ - y₁ / x₂ - x₁

So,

Slope = 9-1 / 3-1 = 8/2 = 4

Hence, the slope of the given line is 4.

Learn more about slopes, click;

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A case of bottled juice contains 30 bottles.Each case contained a total of 507 ounces of juice.Which equation represents the relationship between ounced of juice,y and number of bottles,x A.y=16.9x+30B.y=0.6x C.y=30x+16.9D.y=16.9x

Answers

Step-by-step explanation:

the answer is D (y=16.9)

I divided 507 and 30 and got the answer 16.9.

if you would've put any other answer it would've been wrong because the answer had the 30 in it after it was divided.(not sure if its 100% correct)

Abhasra bought nine fancy pens for a total of $44.01. How much did each pen cost?
A.) $4.21
B.) $4.89
C.) $4.42
D.) $396.09

Answers

Answer:

B.) $4.89

Step-by-step explanation:

44.01 ÷ 9 = 4.89

Answer:

B) $4.89

Step-by-step explanation:

44.01/9 = 4.89

44.01 = the total amount

9 = the amount of pens he got

to check your work you can do 4.89 x 9 which equals 44.01

Which is larger 10.5 or 10.50

Answers

Answer:

10.5 is really 10.50 the . 5 is half the whole one unit, like 50 cents is half a dollar

three-fourths of a number is at least -18​

Answers

Answer:

3/4*X < -18

( put a line underneath the less than sign ) ( Astric's means multiplication )

Step-by-step explanation:

Hope this helped, Have a Wonderful Day!!

Answer:

x ≥ - 24

Step-by-step explanation:

Let's solve this with an equal sign and then decide how to handle the at least part.

3/4 x = -18              Multiply by 4

3/4 * 4 x = -18*4     Cancel the left, multiply the right.

3x = -72                  Divide by 3

x ≥ -24

You need  the greater than to indicate that 3/4 of a number can give something larger than - 18.

You need the equal sign to fulfill at least.

At least, in this question means "get larger."

so x > - 24

solve (x-4)^2=5.
Answers:
A. x=9 and x=1
B. x=5+(square root)4
C. x=-4+(square root)5
D. x=4+(square root)5

Answers

Answer:

don't dout yourself

Step-by-step explanation:

never give up thanks for the free points

What is the solution to the equation 23(y−6)=−(y+2)+1 2 3 ( y - 6 ) = - ( y + 2 ) + 1 ?

Answers

Answer:

Substitute the given value into the function and evaluate.

23 (y − 6) = −(y + 2) + 1 = y = 137/24

2 = y = 137/24

3 = y = 137/24

y − 6 = −(y + 2) + 1 = y = 5/2

does it look like I play any sports?? if so what sports

Answers

Answer:

ayyyye i play soccer too lol

Step-by-step explanation:

Answer:

looks like you play softball or basketball

Step-by-step explanation:

Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult tickets and 12 student tickets. He made $243 selling tickets. How many adult tickets did he sell?

Answers

Alex sold 30 adult tickets

Answer:

30

Step-by-step explanation:

12x4=48

243-48=195

195/6.50= 30

hope that helps :)

Consider the function f(x)=xln(x). Let Tn be the nth degree Taylor approximation of f(2) about x=1. Find: T1, T2, T3. find |R3| <= ?

Answers

Answer:

R3 <= 0.083

Step-by-step explanation:

f(x)=xlnx,

The derivatives are as follows:

f'(x)=1+lnx,

f"(x)=1/x,

f"'(x)=-1/x²

f^(4)(x)=2/x³

Simialrly;

f(1) = 0,

f'(1) = 1,

f"(1) = 1,

f"'(1) = -1,

f^(4)(1) = 2

As such;

T1 = f(1) + f'(1)(x-1)

T1 = 0+1(x-1)

T1 = x - 1

T2 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2

T2 = 0+1(x-1)+1(x-1)^2

T2 = x-1+(x²-2x+1)/2

T2 = x²/2 - 1/2

T3 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2+f"'(1)/6(x-1)^3

T3 = 0+1(x-1)+1/2(x-1)^2-1/6(x-1)^3

T3 = 1/6 (-x^3 + 6 x^2 - 3 x - 2)

Thus, T1(2) = 2 - 1

T1(2) = 1

T2 (2) = 2²/2 - 1/2

T2 (2) = 3/2

T2 (2) = 1.5

T3(2) = 1/6 (-2^3 + 6 *2^2 - 3 *2 - 2)

T3(2) = 4/3

T3(2) = 1.333

Since;

f(2) = 2 × ln(2)

f(2) = 2×0.693147 =

f(2) = 1.386294

Since;

f(2) >T3; it is significant to posit that T3 is an underestimate of f(2).

Then; we have, R3 <= | f^(4)(c)/(4!)(x-1)^4 |,

Since;

f^(4)(x)=2/x^3, we have, |f^(4)(c)| <= 2

Finally;

R3 <= |2/(4!)(2-1)^4|

R3 <= | 2 / 24× 1 |

R3 <= 1/12

R3 <= 0.083

I need help pleaseeeee

Answers

Answer is D
Please mark me as brainless if right

What’s an expotential function

Answers

Answer:

Overview of the exponential function

The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent. A simple example is the function

Please mark me brainliest if this helped you ! (by clicking the little crown on my answer) it helps a lot thnx! (≧∇≦)/

Fred can paint a 30-foot fence in 5 hours. Which of the following is true?

Answers

Answer:

lol

Step-by-step explanation:

It cost Randy $515.20 for new carpet in his bedroom. If the room is 11.5 feet wide by 14 feet long, what was the cost per square foot?

Answers

Answer:

$3.20

Step-by-step explanation:

First, find the area in square feet of his room:

Use the area formula, A = lw, where l is length and w is width:

A = lw

A = 14(11.5)

A = 161

So, his room is 161 square feet.

To find the cost per square foot, divide 515.20 by 161:

515.20/161

= 3.2

So, the cost per square foot was $3.20

How many grams are in 1 Bag of suger

Answers

Answer:

One pound of granulated sugar converted to gram equals to 453.59 g. How many grams of granulated sugar are in 1 pound? The answer is: The change of 1 lb ( pound ) unit in a granulated sugar measure equals = into 453.59 g ( gram ) as per the equivalent measure and for the same granulated sugar type.

You deposit $2000 in an account earning 3% interest compounded monthly.How much will you have in the account in 15 years?

Answers

Use the formula
A = P * (1 + R/N)NT

Where A = the final amount
P = initial principal
R = interest rate
N = number of times interest is compounded per year
T = number of years

In this case
A = 2000 * (1 + .05/12) ^(12 * 18)

A = 2000 * (1.0041667) ^(180)
A = 2000 *(2.1137)
A = 4227.40

Determine whether the given ordered pair is a solution of the system.
(1, -8)
y = 5x - 13
2x + 4y = - 30

Answers

Yes it is. Insert 1 in the place of x for both equations and insert -8 in place of y.

John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. Complete the table.

A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry 25 dollars. Column 5 is labeled Ratio with entry e. Column 6 is labeled Percent Error with entry f.

What is the ratio? e =
What is the percent error? f =

Answers

Answer:

I think it would be Column 2

Step-by-step explanation:

Answer:

What is the ratio? e = 25/75

What is the percent error? f = 33%

Step-by-step explanation:

find percent increase
from 24 teachers to 30 teachers ___​

Answers

It’s a 25% increase

64 divided by 12 4/5

Answers

Answer:

..............5

Step-by-step explanation:

64 ÷12 4/5

If 7x + 5y = 25 and 3x + 2y = 10, what is the value of x +y?

Answers

Answer:

Step-by-step explanation:

7x+5y=25

3x+2y=10

21x+15y=75

21x+6y=30

0x+11y=45

11y=45

y=45/11

y = 4.09

sub in 4.09 into equation 1

7x+5(4.09)=25

7x+20.45=25

7x=25-20.45

x=4.55/7

In science class, Polly learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Polly wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year?

Answers

Answer:

They make 4 approximately tons of oxygen each year.

Step-by-step explanation:

( 250lbs × 32 ) ÷ 2000 = 4t

250 pounds because each tree makes about 250 pounds of oxygen a year.

× 32 because there are 32 trees, so they'll make 32 times more oxygen than one tree.

÷ 2000 because before that everything was in pounds, and the question asks about tons. There are 2000 pounds in a ton, so you divide by 2000 to get the answer, which is 4 tons.

f(x)=-2x^2+14/x^2-49 which statement describes the behavior of the graph of the function shown at the vertical asymptotes?

Answers

Answer:

Option 3 :

x → 7+, y → –[infinity]

Step-by-step explanation:

f(x) = (-2x² + 14)/(x² - 49)

x² - 49 = (x + 7)(x - 7)

Hence f(x) goes to infinity at x = - 7 or 7

x < - 7 = (-ve)(-ve) = + ve

=> x → –7–

Here, x² - 49 is + ve

-7 < x < 7 = (+ve)(-ve) = - ve

=> x → –7+ or x → 7– .

here, x² - 49 is - ve

x > 7 = (+ve)(+ve) = + ve

=> x → 7+

Here, x² - 49 is + ve

So (-2x² + 14) is - ve for all [ x → –7– , x → –7+ , x → 7– , x → 7+ ]

As,

-2(-7)² + 14 = -84 and -2(+7)² + 14 = -84

x → –7– = (-ve)/(+ve)

=> y → -[infinity].

x → –7+ or x → 7– = (-ve)/(-ve)

=> y → [infinity]

x → 7+ = (-ve)/(+ve)

=> y → -[infinity].

x → 7+, y → –[infinity]. is the correct option

The statement (C) as x approaches 7 from the left, y approaches -∞ describe the behavior of the graph of the function.

What is a function?

It is defined as a spceial type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a rational function:

[tex]\rm f(x) =\dfrac{-2x^2+14}{x^2-49}[/tex]

x² - 49 cannot be zero:

x² - 49 ≠ 0

x ≠ 7, x ≠  -7

From the graph, as x approaches 7 from the left, y approaches -∞

Thus, the statement (C) as x approaches 7 from the left, y approaches -∞ describe the behavior of the graph of the function.

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Among various populations of plants or animals, diseases spread exponentially. Use the function y = 8000(1 - e^-0.03t) to model the spread of Common Corn Rust through a field of 8000 corn plants, with t equal to the number of days since the first case of the disease. How many plants will be infected with Common Corn Rust after 10 days?

Answers

Answer:

It's 2073 on edge2020

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

on edge 2020

Use the graph of y = sin x to find all values of x, 0 < x < 2pi, for which the following is true. (Enter your answers as a comma-separated list.)
sin x = 0​

Answers

Answer:

if x = pi/2, then y =1.

if x = pi/4, then y = [tex]\frac{\sqrt{2 } }{2}[/tex]

if x = pi, then y = 0

Step-by-step explanation:

The required answer as a comma-separated lists are (0, 0),  ([tex]\frac{\pi}{6}[/tex], 0.5), ( [tex]\frac{\pi}{4}[/tex],  [tex]\frac{1}{\sqrt{2} }[/tex]),  ( [tex]\pi[/tex], 0)

Given the equation of a sine graph expressed as:

[tex]y=sinx[/tex] for all values of x within the range 0 < x < 2π

We need to get the value of y for the values of x within the range as shown:

If x = 0;

y = sin0

y = 0

The required solution is (0, 0)

If x = 30;

y = sin30

y = 0.5

The required solution is ([tex]\frac{\pi}{6}[/tex], 0.5)

If x = [tex]\frac{\pi}{4}[/tex];

y = sin [tex]\frac{\pi}{4}[/tex]

y = [tex]\frac{1}{\sqrt{2} }[/tex]

The required solution is ( [tex]\frac{\pi}{4}[/tex],  [tex]\frac{1}{\sqrt{2} }[/tex])

If x = [tex]\pi[/tex]

y = sin [tex]\pi[/tex]

y = 0

The required solution is at ( [tex]\pi[/tex], 0)

If x = [tex]2\pi[/tex]

y = sin[tex]2\pi[/tex]

y = 0

Hence the required answer as a comma-separated lists are (0, 0),  ([tex]\frac{\pi}{6}[/tex], 0.5), ( [tex]\frac{\pi}{4}[/tex],  [tex]\frac{1}{\sqrt{2} }[/tex]),  ( [tex]\pi[/tex], 0)

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What is 6 2/3 x 1 1/2

Answers

Answer:

6 2/3 x 1 1/2 is 10

Step-by-step explanation:

PLEASE HELP ILL GIVE AS MANY POINTS AS YOU WANT!!!

And to some reason this was deleted???! Cause I didn’t mean to if I did

Answers

Answer:

1. Take the value of X and replace X with that value in the equation.

2. Now you solve Y.

Which ordered pairs are solutions to the equation 5x+12y=15?

Answers

:)))))))))))))))))))))))))))))
Some ordered pair solutions are:

• (0,5/4)
• (1,5/6)
• (2,5/12)

Hope this helps!

A car is sold for $18,000. After one year, the value of the car is $9,900. Write an exponential function y to determine the value of
the car after x years if the rate of decrease is the same each year.
y =
Estimate the value of the car after 6 years. Round the answer to the nearest dollar.

Answers

Answer:

temperature and kinctic energy are related

i need points. hope you understand.
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What value of a will yield a solution of (2,8) for the system?y = axax + y = 16 I need help like right now anyone please helpThe question has been asked many times if I believed then that the Maine was blown up from the outside. My answer to this has been that my first order on reaching the deck was to post sentries [guards] about the ship. I knew that the Maine had been blown up, and believed that she had been blown up from the outside. Therefore I ordered a measure which was intended to guard against attack. There was the sound of many voices from the shore, suggestive of cheers.Read this account of the explosion from the ships captain. As you read, identify which statements are facts and which are opinions.Which of these are opinions, rather than facts, as stated by Captain Sigsbee? Check all that apply.The ship had blown up.The explosion occurred outside the ship.The captain posted sentries about the ship.The captain heard voices from shore.People on shore were cheering after the explosion. You have 784 grams of a radioactive kind of tellurium. If its half-life is 42 minutes, how much will be left after 126 minutes? Is this cute()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()() A food worker suspects there are mice in the food establishment.wWhat evidence should she report to her manager?O a. Faulty equipmentO b. Sick food workersO c. Broken floor tilesO d. Gnaw marks on a box Carl Cornfield purchases equipment for $450. After reducing the cash line where else would Carl put an entry for this purchase?Cash AssetsEquipment AssetsOther Assets (includes receivables)Liabilities - Accounts PayableOwner's Equity For what number of visitors will the daily operating cost be $730? Use the equation C = 15n + 100. Got the answer? Why couldn't George Washington's army raise money What is the square root of 12 divided by 2 plus 16? factorise3x^2+22x+35 A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of lukas shadow. include all labels. did all immigrants to america have to go through ellis island? explain. You have developed a new brand of ice cream that you sell for 5.99 dollars per pint since it is a premium brand. Your sales estimate for the first year is 1 million pints, which will result in 5.99 million dollars in __________A. gross profits B. revenues C. marginal contribution D. profits E. value XYZ was reflected to form LMN.Triangle X Y Z is reflected to from triangle L M N. Angle Z Y X is 86 degrees and angle Y X Z is 38 degrees. Angle L N M is 56 degrees and angle N M L is 86 degrees.Which statements are true regarding the diagram? Check all that apply. Description of a house in the forest when is snowing What is Amitosis cell ( direct cell) division? Is it better for you to eat foods enhanced with phytochemicals or eat whole foods rich in natural phytochemicals? Explain your answer. -7x x 7 Write as an absolute value equation which of the following happens to a cell in hypotonic solution A- The cell gains water and expands B- The cell stays the sameC- The cell loses water and shrivels D- Water moves out of the cell Which of these details supports the central idea?Idea: New ideas or inventions are not always planned.George Crum called his new invention "SaratogaChips."The mechanical peeler was invented in the 1920s.Potato chips, a very popular snack food, werecreated by accident.George Crum worked at a resort in Saratoga, NewYork.