Answers
Step-by-step explanation:
f(x) = sin(x), a = π/6, n = 4
Find the derivatives.
f⁽⁰⁾(π/6) = sin(π/6) = ½
f⁽¹⁾(π/6) = cos(π/6) = ½√3
f⁽²⁾(π/6) = -sin(π/6) = -½
f⁽³⁾(π/6) = -cos(π/6) = -½√3
f⁽⁴⁾(π/6) = sin(π/6) = ½
T₄(x) = ½ (x − π/6)⁰ / 0! + ½√3 (x − π/6)¹ / 1! − ½ (x − π/6)² / 2! − ½√3 (x − π/6)³ / 3! + ½ (x − π/6)⁴ / 4!
T₄(x) = ½ + ½√3 (x − π/6) − ¼ (x − π/6)² − ¹/₁₂√3 (x − π/6)³ + ¹/₄₈ (x − π/6)⁴
Find the fifth derivative.
f⁽⁵⁾(x) = cos(x)
So the next term of the series would be:
cos(z) (x − π/6)⁵ / 5!
For 0 ≤ z ≤ π/3,│f⁽⁵⁾(x)│is a maximum at z = 0. Therefore:
│R₄(x)│≤ │cos(0) (0 − π/6)⁵ / 5!│
│R₄(x)│≤ 0.000328
│R₄(x)│is always positive, so we can ignore the bottom two graphs. The top right graph has a y-intercept of approximately 0.0003, so that is the correct graph.
Related Questions
17. Brendan works as a car salesman. He earns a salary of $1,000 per month, plus a commission of 3% on all sales. If he sold $250,000 worth of cars in May, what would his total earning be for the
month?
Answers
Answer:
His total earning for the month would be $8,500.
Step-by-step explanation:
In order to calculate the total earnings for the month, you have to find the 3% of the amount of the sales and add the monthly salary:
Monthly earnings=($250,000*3%)+$1,000
Monthly earnings=$7,500+$1,000
Monthly earnings=$8,500
According to this, the answer is that his total earning for the month would be $8,500.
Answer:
The Answer Is $8,500
Step-by-step explanation:
I just took the test
DO ASAP. PLS
Six men can pack 900 boxes in 4 days. At this rate, how many boxes can ten men pack in 6 days?
Answers
Answer:
1350
Step-by-step explanation:
900/4 = 225
225x6=1350
i think
hope this helped
WHAT is The Answer Gving Brainliest
Answers
Answer:
Your answer is D due to where the points lie :)
Assume that X has a normal distribution, and find the indicated probability.
The mean is p = 16.2 and the standard deviation is o = 0.95
Find the probability that X is greater than 16.2
0.5213
0.50
0.5103
0.65
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
One number is 6 less than another. The product of the numbers is 72. Find
the numbers
Answers
Answer:
12 and 6
Step-by-step explanation:
HELP ITS DUE AT MIDNIGHT
Answers
Answer:
-1x-13, I'm sorry if it is wrong...
Step-by-step explanation:
5(x-4)+3x-9x+7
5x-20+3x-9x+7
5x-20-6x+7
-1x-13
Answer:
-x - 13
Step-by-step explanation:
5(x - 4) + 3x - 9x +7
Distribute the 5 to x - 4
5x - 20 + 3x -9x + 7
Combine like terms
-x - 13
Americans earning between $114,500 and $ 163,000 fall into the 35% tax bracket. This means they pay $6,250 plus 35% of income over $114,500. If you earn $ 135,000 what are your taxes?
Answers
Answer:
Your taxes are $13,425
Step-by-step explanation:
Taxes paid by Americans depend on their income. If they earn between $114,500 and $163,000, they must pay a fixed amount of $6,250 plus 35% of the income over $114,500.
If you earn $135,000, you definitely all into the described bracket. We need to calculate the income above the minimum $114,500:
taxable income=$135,000-$114,500=$20,500
Thus, you must pay:
Tax = $6,250 + 35% of $20,500
Tax = $6,250 + 35/100 $20,500
Tax = $6,250 + $7,175 = $13,425
Your taxes are $13,425
A robot can complete 3 tasks in 5/6 of an hour. Each tasks takes the same amount of time. How long does the robot take to complete 1 task?
Answers
Answer:
16-17 min
Step-by-step explanation:
5/6 hour = 50 minutes
50 divided by 3 is approx. 16-17
Takes about 16-17 minutes to do 1 task
F=1.8C+32 solve for given variable
Answers
Answer:
Step-by-step explanation:
The formula F = 1.8C + 32 can be used to find the temperature in degrees Fahrenheit F when the temperature is given in degrees Celsius C. For what value is the temperature in degrees Fahrenheit equal to the temperature in degrees Celsius? Justify your reasoning by writing and solving an equation. (Hint: If Fahrenheit and Celsius are equal, they can be assigned the same variable.)
Margaret is making strawberry milkshakes for the kids party. The recipe calls for 1/3 of a cup of strawberry syrup to make 12 milkshakes. How many cups of strawberry syrup are needed to make 72 milkshakes.?
A. 3
B. 12
C. 24
D. 2
Answers
Answer:
The answer is D.
Step-by-step explanation:
72 divided by 12=6
6 times 1/3=2
How do you do this question?
Answers
Step-by-step explanation:
f(x) = ln(1+2x), a = 5, n = 3
Find the derivatives.
f⁽⁰⁾(5) = ln(1+2(5)) = ln(11)
f⁽¹⁾(5) = 2 / (1+2(5)) = 2/11
f⁽²⁾(5) = -4 / (1 + 2(5))² = -4/121
f⁽³⁾(5) = 16 / (1 + 2(5))³ = 16/1331
T₃(x) = ln(11) (x − 5)⁰ / 0! + 2/11 (x − 5)¹ / 1! − 4/121 (x − 5)² / 2! + 16/1331 (x − 5)³ / 3!
T₃(x) = ln(11) + 2/11 (x − 5) − 2/121 (x − 5)² − 8/3993 (x − 5)³
Find the fourth derivative.
f⁽⁴⁾(x) = -96 / (1 + 2x)⁴
So the next term of the series would be:
(-96 / (1 + 2x)⁴) (x − 5)⁴ / 4!
For 4.6 ≤ x ≤ 5.4,│f⁽⁴⁾(x)│is a maximum at x = 4.6. Therefore:
│R₃(x)│≤ │(-96 / (1 + 2(4.6))⁴) (4.6 − 5)⁴ / 4!│
│R₃(x)│≤ 0.000009
│R₃(x)│is always positive, so we can ignore the right two graphs. Only the top left graph is less than 9×10⁻⁶ on the interval.
A customer at Mexican restaurant placed an order for 3 burritos at x amount of dollars. He also ordered tacos that cost $12.96 total and billed a total of $32.46.
Answers
Answer:
he paid $6:50 for each burrito
5,608 , 97,506 ,9 658 Which numbers 5 is 10 times the value of 5 in 8,395
Answers
Answer:
9658
Step-by-step explanation:
The value of 5 in 8395 is 10
To get the answer you have to do 1*10=10 so you would have to find a number where 5 is in the tens place
9658 has a 5 in the tens place
What is the stander form of 1234567456
Answers
Answer:
Hi sky how u doing? Me and grant already solved our problems. I need to talk to you :) PLZ RESPOND FAST!!
It cost $3.45 to buy 3/4 lb of chopped walnuts. How much will it cost to buy 7.5 lbs of walnuts?
Answers
Answer:
$34.5
Step-by-step explanation:
Turning the 3/4 into a decimal would be .75, .75 can go into 7.5 10 times. You would multiply 10 by the cost $3.45 and you would get $34.5 for 7.5 lbs of walnuts.
Find the area of the circle. Use 22/7 as an approximation for py
Answers
Answer:
Answer choices?
Step-by-step explanation:
Is this right? PLEASE HELP
Answers
Answer:
I got
2x^4u^4-6+9x^3u^2/ux^2
Step-by-step explanation:
Photo wrong only at the end u^2
Samuel and Jackson are brothers. Samuel is three years older than twice the age of Jackson. If the sum of their ages is 18, how old are the brothers?
Answers
Write an algebraic expression for the phrase t decreased by 7.
Answers
Answer:
t - 7
Explanation ;
decreased means to take away; subtract !
anyone can help me i need it urgently and also show working thank you
Answers
Answer:
x
Step-by-step explanation:
because you have to subtract 3x from 4x which leaves x because 1 is just x
Answer:
4x-4=3x
4x-3x=4 - in this step notice how they subtracted 3x from the right side so they could subtract 3x from the left side. By doing so the right side of the equation would be empty and thus is why they added 4 to each side to cancel out the 4 on the left side and add one to the right.
Step-by-step explanation:
B
How many units away are each of the points from the y-axis?
O 3
4
LP
co
7
Save and Exit
Mark this and return
How many units away are each of the point from the y-axis
Answers
Answer: D
Step-by-step explanation: I took the test
Answer D
Step-by-step explanation:
A simple "Pick-3" lottery consists of players picking three digits from 0 to 9 with repeats allowed. It costs
$1 to play, and a player wins $500 if they match all three numbers drawn. Jaime decides to buy 10 tickets
to improve their chances of winning,
The table below displays the probability distribution of X the amount of money Jaime profits from this
strategy
Win
Lose
--$10
X = profit $490
P(X)
1%
99%
Given that px = -$5, calculate ox.
Round your answer to two decimal places.
σX
dollars
Show Calculator
Answers
Answer:49.75 dollars
Step-by-step explanation:
Khan academy
(9c2−3cw−6w2)−(−9c2+9cw−w2)
Answers
Answer: The answer is [tex]18c^{2}[/tex]-[tex]12cw[/tex]-[tex]5w^{2}[/tex]
Step-by-step explanation:
The first thing you want to do is to add the [tex]9c^{2}[/tex] to the other one. You add instead of subtracting because the second one has a minus sign, and there is a minus sign in front of the parentheses. Two minus' make a plus. Adding these two together gives you a sum of [tex]18c^{2}[/tex].
Next, you want to simplify 9cw. Remember that since 9cw is positive, and there is a minus sign if front of the parentheses, you need to subtract here. Subtracting 3cw and 9cw gives you a difference of [tex]-12cw[/tex]. The new equation is [tex]18c^{2}-12cw[/tex].
Finally, we need to combine -w2 with -6w2. Remember that -w2 has a minus sign in front of it, so you need to add w2 to -6w2. This gives you [tex]-5c^{2}[/tex]. You combine this answer with the two answers above, and you get: [tex]18c^{2}-12cw-5w^{2}[/tex]. I hope this helps.
a line passes through the point 2, -3 and has a slope of 9
Answers
Answer:
Y=9x-21
Step-by-step explanation:
estimate each cube root to the nearest integer 74 to the 3rd power
Answers
Answer:
74
Step-by-step explanation:
The cube root of 74^3 will be 74. The cub and cube root cancel each other out.
Henry needs a 16 ft. table for his family dinner. He is going to put two tables together. He has an 8ft table. How long does the other need to be?
Answers
Answer:
8ft
Step-by-step explanation:
Step by step explanation: 16 divided by 2= 8
3 1/5 divided by 4 = ?
what is the answer and how did you get it
Answers
Answer:
31/5=6.2
6.2/4=
1.55 I hope you get it
Margaret said the exact product of 602 and 341 is 205,282 is she correct use paper and the standard algorithm to support your reasoning
Answers
Answer:
yes she is correct
Step-by-step explanation:
first do 602 times 341 then you compair to see if the answers are correct. Hopped this helped <3
Answer:
yes she is correct
Step-by-step explanation:
602 times 341
Pls Help: I need help
Answers
Answer: C
Step-by-step explanation: 0.571 is greater than 0.4. Therefore, 4/7 is greater than 2/5 and the answer to the question "Is 4/7 greater than 2/5?" is yes. Note: When comparing fractions such as 4/7 and 2/5, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.
i need help please AND HOW U GOT THE ANSWER PLS PLS
Answers
Answer:
1. Yes, all of the measurements are equal
2. A
3. B
4. B
Step-by-step explanation:
1. Congruent shapes have all equal measurements
2. If they are congruent, the sides that align with each other are also congruent
3. If they are congruent, the angles that align with each other are also congruent
4. If they are congruent, then <B and <E are equal to each other... <B = 65 degrees meaning so does <E
- hope this helps! :)