Answer:
[tex]\displaystyle y' = 2 \csc^2 (2x)[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Explanation:
Step 1: Define
Identify
[tex]\displaystyle y = - \cot (2x)[/tex]
Step 2: Differentiate
Trigonometric Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = - \big(- \csc^2 (2x) \big)(2x)'[/tex]Simplify: [tex]\displaystyle y' = \csc^2 (2x)(2x)'[/tex]Basic Power Rule [Derivative Property - Multiplied Constant]: [tex]\displaystyle y' = 2 \csc^2 (2x)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
What is AP (Advanced Placement?)
Answer:
Advanced Placement is a program in the United States and Canada created by the College Board which offers college-level curricula and examinations to high school students. American colleges and universities may grant placement and course credit to students who obtain high scores on the examinations.
Explanation:
AP Is also High educated children in middle, to high
18. What is the correct test statistic and conclusion?
Answer:
A
Explanation:
It is A
In extreme driving conditions such as snow, ice or heavy rain, you should stay at
least seconds behind the next vehicle.
A. 2-3
B. 4
C. 6-10
11. Which of the following is FALSE?
Answer:
E. This die appears to be fair because of the proportion of sixes fluctuates greatly.
Explanation:
I hope this helped if its wrong then im sorry.
How did early Spanish explorers and settlers
contribute to the artistic history of Texas?
i know i know a b c
d
Answer:
what do you mean by a b c d ?
Explanation:
14. A manager of a local fast food restaurant wants to determine the average amount of time it takes from when a customer enters the drive-through line until they receive their order, regardless of the time of the day and the day of the week. That is, he would like to know the true average drive-through wait time for all his customers. Which of the following methods would be most likely to estimate the desired parameter with low bias and low variability?
(A)Select a random sample of 100 customers over a period of one month, determine each selected customer’s wait time, then compute the average wait time for all 100 customers.
(B)Select a random sample of 100 customers over a weekend, determine each selected customer’s wait time, then compute the average wait time for all 500 customers.
(C) Select a random sample of 500 customers on a randomly selected weekday, determine each selected customer’s wait time, then compute the average wait time for all 500 customers.
(D)Select a random sample of 500 customers over a weekend, determine each selected customer’s wait time, then compute the average wait time for all 500 customers.
(E) Select a random sample of 500 customers over a period of one month, determine each selected customer’s wait time, then compute the average wait time for all 500 customers.
Answer:E
Explanation:
Select a random sample of 500 customers over a period of one month, determine each selected customer’s wait time, then compute the average wait time for all 500 customers.
Why sampling is important?Sampling saves money by allowing researchers to gather the same answers from a sample that they would receive from the population.
Select a random sample of 500 customers over a period of one month, determine each selected customer’s wait time, then compute the average wait time for all 500 customers. it will help in the improve to deduce the time and might be get idea so that costumer will not wait rather than ideal time.
Learn more:
https://brainly.com/question/16924966
#SPJ2
PLEASE PLEASE HELP:: The scoop of an excavator holds 26 ft3 of sand. If the capacity of a freight car is 39 tons of sand and we know that 1 ft3 of sand weighs 0.5 tons, how many freight cars can be filled with 120 loads?
Answer:
40
Explanation:
Since we know that 1 ft3 of sand = 0.5 tons, we can make a proportion
26/x=1/0.5
If you simplify it, you should get x=13
Now that we know 26 ft3 of sand = 13 tons, we should multiply it with 120 number of loads
13*120=1560
Then, we have to divide 1560 by 39 which should give your answer 40
Hope this works!
Freight cars can be filled with 120 loads is 40
How is load percentage calculated?
The load factor percentage is derived by dividing the total kilowatt-hours (kWh) consumed in a designated period by the product of the maximum demand in kilowatts (kW) and the number of hours in the period.
Since we know that 1 ft3 of sand = 0.5 tons, we can make a proportion
26/x=1/0.5
If you simplify it, you should get x=13
Now that we know 26 ft3 of sand = 13 tons, we should multiply it with 120 number of loads
13*120=1560
Then, we have to divide 1560 by 39 which should give your answer 40
Learn more:
https://brainly.com/question/2759417
#SPJ2
10. Lindsey is an avid tennis player. She kept track of the number of winners she had per game for an entire season. The shape of the distribution of the number of winners is roughly symmetric and the five- number summary of the number of winners is: Min: 10 Q1: 18 Med: 48 Q3: 79 Max: 92
Luke is Lindsey’s biggest rival. The average number of winners Luke had per game for the season has the same value as Lindsey’s IQR. Who had the greatest average number of winners this season? Explain.
(A)Lindsey, she averaged approximately 48 winners per game while Luke only averaged 18 winners per game.
(B)Lindsey, she averaged approximately 49.4 winners per game while Luke only averaged 48 winners per game.
(C)Luke, he averaged 61 winners per game while Lindsey only averaged approximately 48 winners per game.
(D)Luke, he averaged 61 winners per game while Lindsey only averaged approximately 79 winners per game.
(E)There is not enough information provided to determine Lindsey’s average.
Answer:
c
Explanation:
