Mathematics High School

Write the cubic term for the Taylor series expansion of f(x) = sin(x) at c = pi/4

I did the work, can you please check for me whether my work is right?

Write The Cubic Term For The Taylor Series Expansion Of F(x) = Sin(x) At C = Pi/4I Did The Work, Can

Answers

Answer 1

Step-by-step explanation:

Close, the second term should have an exponent of 1.

f(x) = f(c) + f'(c) (x−c)¹/1! + f''(c) (x−c)²/2! + f'''(c) (x−c)/3!

f(x) = 1/√2 + 1/√2 (x−π/4) − 1/(2√2) (x−π/4)² − 1/(6√2) (x−π/4)³

Related Questions

Melissa needs to wrap a gift box that is shaped like a rectangular prism. The length is 6 inches, the width is 6 inches and the height is 8 inches. How much wrapping paper does she need to cover the whole box

Answers

Answer:

A=264

Step-by-step explanation:

When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest hundreds to estimate the answer

Answers

Answe12800 miles

Step-by-step explanation:a year is 12 months, and mile round trip means there and back. so 532x24 for the 24 trips that equals 12768. 12768 rounded to the nearest hundreds is 12800

Idk what it is plz help me

Answers

Answer:

1) Starting height is 6.25

2) after 20 years it would be 30

1.25(20)=25+5=30

3) 76 years

Answer:

a) 5 feet

b) 30 feet

c) 76 years

Step-by-step explanation:

a) 5 feet. If t is 0, it'll still be 5 feet

b) 30 feet

1.25*20+5=

25+5=

30

c) 76 years

100 = 1.25t+5

1.25t=95

t=76

can someone help? 25 points

Answers

Answer:

8 hours

Step-by-step explanation:

HE has to pay $7 an hour.

8*7=56

He has a descount of $3, so

$56-$3=$53.

Which is the exat amount of money that Tony has.

Answer:

The answer is 46

Because he wants to spend less so you would do

7x7=49

He could only rent the boat for 7 hours because that would be less than 53$

Now you do 49-3=46

Because he had a discount

So the answer is 46

Step-by-step explanation:

Hope this helped!

what is the percent change between 6 to 3?

Answers

The percentage change is 50%

Answer:

50% = percent chang

Step-by-step explanation:

6 ÷ 50%

6 × .50 = 3

3 ÷ .50 = 6

A copy machine makes 231 copies in 5 minutes and 15 seconds. How many copies does it make per minute?
​

Answers

Put 5 min 15 sec into seconds (315 seconds) and set up a ratio to find how many copies are made every 60 seconds.

The solution is 44 copies

The number of copies the copy machine makes in one minute is 44 copies

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The number of copies the copy machine makes = 231 copies

Time required by the to make 231 copies = 5 minutes 15 seconds

5 minutes = 5 x 60 seconds

5 minutes = 300 seconds

5 minutes 15 seconds = 300 + 15 seconds

5 minutes 15 seconds = 315 seconds

So , Time required by the to make 231 copies = 315 seconds

Now , number of copies in 1 minute = 60 x ( The number of copies the copy machine makes / Time required by the to make 231 copies )

Substituting the values in the equation , we get

Number of copies in one minute A = 60 x ( 231 / 315 )

Number of copies in one minute A = 60 x 0.733

Number of copies in one minute A = 44 copies

Therefore , the value of A is 44 copies

Hence , the number of copies is 44 copies

To learn more about equations click :

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A bag contains marbles of four different colors listed below. What is the probability of picking a BLUE marble at random out of the bag?
8 blue marbles, 24 red marbles, 16 green marbles, 4 yellow marbles.
~
1) 8/100
2) 2/13
3) 6/13
4) 4/13

Answers

Step-by-step explanation:

Total marbles = 24 + 8 + 16 + 4 = 52

Probability of blue marble = 8/ 52 = 4 / 26 = 2 / 13

Option 2 is the correct answer

0.7 bar repeater in simplest form​

Answers

Answer:

the answer is 7/10

Step-by-step explanation:

cause i am in honors math 6th grade. I am EXTREMELY smart!!!

What is the slope of the line that passes through (1,-19) and (-2,-7)?

Answers

The formula for the slope of a line is m = (y2 - y1) / (x2 - x1).

Point 1 = (1, -19)

Point 2 = (-2, -7)

m = (-7 - -19) / (-2 - 1)

m = (-7 + 19) / (-2 - 1)

m = 12 / -3

m = -4

Hope this helps! :)

The art club had an election to select a president. 75% of the 68 members of the club voted in the election. How many members voted?

Answers

Answer:

51 members voted of the 68 members

4. A plane was flying at an altitude of 55,000 feet when it began the descent toward the airport. The airplan
descends at a rate of 825 feet per minute.

A. What is the function rule that describes this situation?

B. What is the altitude of the plane after it has descended for 13 minutes? Show your work

C. Use the function in Part A to determine how long it takes for the plane to land if it descends at a
continuous rate.

Answers

Answer:

Step-by-step explanation:

A Descent rate,

B 10725ft,

C 25min

I think the anser is c:::::::::::::::::)

VX
Does choosing a blue marble represent the complement
event of choosing a red marble? Explain.
B
Р
В

Answers

Answer:

red marble

Step-by-step explanation:

i did this yw

a knife is 3 times the cost of spoon
9 spoons and 12 knives cost £82.80

Answers

Answer:

5 .52

Step-by-step explanation:

do the math. aaaaaaaaaaaaaaaaaaaannnnnnnnnnnnnnnnnddddddd this is the best appppp evvvvver

how do I simplify this algebraic expression 3x+2a-4x

Answers

Start by changing the -4x to + -4x.

So we have 3x + 2a + -4x.

To simplify, we can only combine what are called our like terms and in this problem, we have a pair of like terms in our x terms.

3x + -4x simplifies to -x.

So our answer is -x + 2a.

Note that if you wrote your answer as -1x + 2a, it means the same thing. However, as we move farther into math, we usually tend to drop the -1 or 1 that is in front of a variable since it's implied

The expresstion 2m +10c gives the amount of money in dollars a desert store makes from selling m muffins and c cakes. How much money does the dessert store make from selling three muffins and four cakes

Answers

Answer:

$46.

Step-by-step explanation:

We plug m = 3 and c = 4 into the given expression:

Money made =  2*3 + 10*4

= $46.

Jackson and Xavier are both solving the multiplication 0.8 x 5. Jackson gets 4 as a solution, and Xavier gets 0.4. Xavier said to Jackson, "Your answer of 4 can't be right for 0.8 x 5. You need a decimal point because a product always has the same number

Answers

Answer:

Jackson

0.8×5=4

Xavier

0.8×5=0.4

If Xavier said to Jackson that his answer of 4 can't be right.

Jackson needs a decimal point because a product always have the same answer.

Then,

Xavier is right with his sayings but wrong with the answer of 0.4

The correct answer is 4.0

The decimal point should be counted from the back not from the front as Xavier did

Correct answers only!

To the nearest cent, how much interest will he earn in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer: $8.40

Step-by-step explanation:

The problem states that Scott has deposited $40 and is earning 10% interest, annually. It asks how much interest he will earn in 2 years to the nearest cent.

First, the formula given is B=p(1+r)^t. Since Scott deposits $40, 40 would be the starting amount, p.

B=40(1+r)^t

R is the interest rate: 10%. We plug in 0.10 instead of 10% because r is the interest rate, not the percentage.

B=40(1+0.10)^t

T is time: 2 years

B=40(1+0.10)^2

Now that we have the equation filled out, we plug this into a calculator.

48.4=40(1+0.10)^2

We know that the final amount is $48.40. Unfortunately, the question is asking how much interest is earned. To find that, you would subtract the Final-Initial to get the interest.

48.4-40=8.4

James has g amount of games. Samuel, his friend, has 4 times as many games as James. Write an algebraic expression to represent how many games James has and how many games Samuel has in terms of g.

Answers

Answer: The answer is given below

Step-by-step explanation:

From the question, we are told that James has a lot of games and his friend Samuel, has 4 times as many games as James.

So let the number of games that James has be denoted by g.

Since Samuel has 4 times as the number of games that James has, then Samuel's game will be

= 4 × g

= 4g

Therefore, the expression for James will be g and the expression for the number of games Samuel has is 4g.

Solve the following system of equations {4x−6y=105x+6y=−55

Answers

Answer:

31557778998765432

Step-by-step explanation:

is it impossible

A town has population of 5000 and grows 3.5 percent every year. What will be the population after 15 years , to the nearest whole number?

Answers

Answer:

After 15 years the population will be 7,625

Step-by-step explanation:

3.5% of 5,000 = 175

175 x 15 = 2625

2625 + 5,000 = 7625

The population after 15 years should be  8,376

Calculation of the population:

Since the population is 5,000 and it grows 3.5 years and the time period is 15 years

So, the population after 15 years is

[tex]= 5,000 \times (1 + 3.5\%)^{15}\\\\[/tex]

= 8,376

Therefore, we can conclude that The population after 15 years should be  8,376

Learn more about population here: https://brainly.com/question/24309536

The city limits of Las Pythagoras form a perfect shape of an isosceles right triangle whose legs are both 25 2525 kilometers long. The population in Las Pythagoras is 100 , 000 100,000100, comma, 000 people. What is the population density of Las Pythagoras?

Answers

320

Step-by-step explanation:

If the zeros of a function are = 2 and = 7, what was the function? Could there be more than one answer?

Answers

Answer: [tex]f(x)=x^{2} -9x+14[/tex]

Step-by-step explanation:

[tex]x=2,7[/tex]

[tex]f(x)=(x-2)(x-7)[/tex]

[tex]f(x)=x^{2} -9x+14[/tex]

plzzzzzzzzzzzzzzaaaaaaaaaa

Answers

Answer:

A

Step-by-step explanation:

[tex]3x^2+5x+2=0[/tex]

[tex]x=\dfrac{-5\pm \sqrt{5^2-4(2)(3)}}{6}=\dfrac{-5\pm 1}{6}=-\dfrac{2}{3}, -1[/tex]

Therefore, the answer is choice A. Hope this helps!

Tue or False? The first distribution shown below had a smaller mean than does the second distribution

Answers

Answer:

the answer id true

i hope that helps

what is -4 {2 - y} + 3y = 3 {y - 4}

Answers

-8+4y+3y=3y-12
7y-8=3y-12
7y-3y= -12+8
4y= -4
Y= -1

You pick one card from each set and find the sum. How many different sums are possible?

Answers

Answer:

24 possibilities

Step-by-step explanation:

2*2*6=24

24 possibilities

The number of different sums possible is 24 possibilities.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We have been given that pick one card from each set and find the sum.

Therefore, we need to find the number of different sums that are possible;

2 x 2 x 6=24

24 possibilities

Hence, the number of different sums possible is 24 possibilities.

Learn more about probability here;

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Can someone help me with this

Answers

Answer:

30.5 and 46

Step-by-step explanation:

The minimum is 30.5 and the maximum is 46

In ΔHIJ, the measure of ∠J=90°, IJ = 47 feet, and HI = 68 feet. Find the measure of ∠H to the nearest degree.

Answers

Answer:

44

Step-by-step explanation:

Solve
8 - (2x - 9) = 17-24

Answers

Answer:

x=12

Step-by-step explanation:

8-(2x-+9)=17-24

8-2x=17-24-9

8-2x=-7+-9

8-2x=-16

-2x=-16-8

-2x=-24

x=-24/-2

x=12

8-(2x-9)=17-24
8 - 2x -+9 = -7
-2x+17=-7
-17 -17
-2x = -24
/-2. /-2

x = 12

The area of a circle is 4π x 2 + 12πx + 9π.
a. What is an expression for the radius of the circle?
b. What is the least possible integer value of x for the circle to exist? Explain.

Answers

Answer:B D

Step-by-step explanation:

I just got it right

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