The 36th derivative of f(x) = cos(2x) is [tex]2^{17}[/tex]* cos(2x).
To find the 36th derivative of the function f(x) = cos(2x), we can apply the chain rule repeatedly. The chain rule states that if we have a composite function y = f(g(x)), then its derivative is given by dy/dx = f'(g(x)) * g'(x).
Let's start by finding the first few derivatives of f(x) = cos(2x):
f'(x) = -2sin(2x)
f''(x) = -4cos(2x)
f'''(x) = 8sin(2x)
f''''(x) = 16cos(2x)
We observe a pattern where the derivatives of cos(2x) alternate between sin(2x) and cos(2x), with the signs changing accordingly.
Based on this pattern, we can see that the 36th derivative will be:
f^(36)(x) =[tex](-1)^{17} * 2^{17} *[/tex] cos(2x)
Simplifying this expression, we have:
f^(36)(x) = [tex]2^{17} * cos(2x)[/tex]
Therefore, the 36th derivative of f(x) = cos(2x) is[tex]2^{17[/tex] * cos(2x).
It's important to note that in this case, the number 36 is even, and since the derivatives of cos(2x) follow a repeating pattern every 4 derivatives, the sign (-1) raised to the power of 17 accounts for the change in sign in the 36th derivative.
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Tristian has 35 rock songs, 50 dance songs and 15 rap songs on his play list. If his music player randomly selects a song, what is the probability that it is a dance song?
Answer:
1/2
Step-by-step explanation:
35+50+15 = 100
probability of the dance song = 50/100 = 1/2
Answer:50%
Step-by-step explanation:
35+15+50=100
50 divided by 100 is 0.5 or you can do it as a fraction and get 50/100
Find the area of each triangle, each dimension of the triangle shown below is measured in centimeters.
Help please will mark brainliest
Answer:
150.80 sq ft
Step-by-step explanation:
Area of a cylinder = area of circle x length
r = 8/2 = 4
[tex]4^{2}[/tex]π x 3 = 48π = 150.7964474
Answer:
37.68ft³
Step-by-step explanation:
So the formula for the volume of a cylinder is base x height our height is 3 but we have to find the area of the base:
the formula is: radius² x 3.14 (pi)
so we find the radius by dividing the diameter by 2: 8 ÷ 2 = 4
4 x 3.14 = 12.56
So the area of the base is 12.56ft²
now we plug that into our equation:
12.56 x 3 = 37.68
So the volume of the cylinder is 37.68ft³
hope this helps:)
NAMING BRAINLIEST
What is the value of the expression 7 + (16 − 7) ÷ 3 + 8?
Answer:
18
Step-by-step explanation:
Using PEMDAS, first you do the parenthesis which the value would be 9. Then you divide: 9/ 3= 3. Lastly, you add 7+3+8=18.
The product will be 18.
Hope this helps! :)
I need help with these questions ?
Answer:
5. Every 25th student who enters the school than morning
6. It is neither likely or unlikely that it will rain tomorrow
Step-by-step explanation:
5. A random systematic sample of every 25th student will present the least bias
6. 0.48 is close to 0.5, which means there is almost an even chance that it will or will not rain
The annual percentage yield (APY) is the
Answer:
Step-by-step explanation:
actual rate of return that will be earned in one year if the interest is compounded.
What would be the final
price of a $59.99 video game
in a state that charges 6.5%
sales tax?
Answer:
$63.89
Step-by-step explanation:
just multiply 59.99 by 1.065
Pls help me complet this
Answer:
P(for) = 5/8
P(against) = 3/10
P(undecided)= 3/40
Step-by-step explanation: Again, find the total number of people Devi surveyed.
40 people got surveyed in total. So P(for) means to find how many people wanted to vote for the mayor. In the table, it says 25 voted for the current mayor. So 25/40. Then we can simplify it to 5/8.
Then find how many people voted against her. 12 people voted against her. 12/40 is 3/10.
Finally, find how many people were indecisive. 3 people were indecisive. 3/40. We cannot simplify it, so leave it like that. Hope this helps.
A wheelchair ramp is being built for entrance to a portable classroom. If the ramp has a slope of
1/12 and has a horizontal length of 5 m, what is its height to the nearest tenth of a metre?
a1.1 m
c. 0.4 m
b. 0.8 m
d. 0.3 m
Answer: A
Step-by-step explanation: Because you multiple 5m by 1/12?
If the ramp has a slope of [tex]\frac{1}{12}[/tex] and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be [tex]0.4 \ m[/tex] .
What is slope ?Numerical measure of a line's inclination relative to the horizontal. The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
i.e. Slope [tex]m = \frac{\text{rise}}{\text{Length}}= \frac{H}{L}[/tex]
We have,
The ramp has a slope of [tex]\frac{1}{12}[/tex],
Horizontal length of [tex]5m[/tex]
Height of ramp [tex]=x[/tex]
So,
Slope [tex]=\frac{H}{L} = \frac{1}{12}[/tex]
[tex]\frac{H}{5} =\frac{1}{12}[/tex]
[tex]H=\frac{5}{12}[/tex]
[tex]H=0.4 \ m[/tex]
So, the Height of the ramp is [tex]0.4 \ m[/tex] .
Hence, we can say that if the ramp has a slope of [tex]\frac{1}{12}[/tex] and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be [tex]0.4 \ m[/tex] .
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PLS HELP I HAVE BEEN ASKING FOR 4 DAYS IM JUST GETTING BAD ANSWERS I WILL GIVE BRAINLIEST. IM ABOUT TO FAIL :((((((((((((((
Answer:
29 day) $15.00
30 day $15.00
31 day $15.00
The cost was the same for all three days
Step-by-step explanation:
Rover = 3/4 can
Bobo = 1/2 can
29(3/4) + 29(1/2) = 21.75 + 14.5 = 36.25 cans
36.25/3 = 12.08
must buy 4 packs of 3 at $5.00 each = $15.00
30(3/4) + 30(1/2) = 22.5 + 15 = 37.5 cans
37.5/3 = 12.5
must buy 4 packs of 3 at $5.00 each = $15.00
31(3/4) + 31(1/2) = 23.25 + 15.5 = 38.75 cans
38.75/3 = 12.92
must buy 4 packs of 3 at $5.00 each = $15.00
unidad de 1000 a Cuántos centímetros equivale
I need the answer to this.
Answer:
4
Step-by-step explanation:
four Point perspective
Answer:
one point perspective
Step-by-step explanation:
It is one point perspective because if you are thinking about birds eye view, you have to consider that they height a bird can fly is very very high. So you have to be thinking critically, it cannot be 4 point perspective nor 3 point perspective due to the fact, that that is worm eye view. Thus, the answer it leaves you with is 1 point view and 2 point perspective. Two point perspective is us, it would be like us watching a building (which isn't that high). Hence, the last answer you are left with is one point perspective.
For reference you can look at the picture:
Hope this helps! :))
5. A football stadium has 81.296
seats. Then the stadium's owner
adds 10.795 seats. What is the
new total number of seats?
Answer:
92.091
Step-by-step explanation:
81+10=91
.296
+
.795
_____
1.091
So: 91+1.095=92.091
CAN U PLZ ANSWER THIS ITS FOR A TEST
Answer:
A. 300in^2
Step-by-step explanation:
Area=LWH
15*10*2=300
The possible number of solutions obtained for quadratic equations is
A) 2
B) None of these
C) 4
D) 3
Answer:
A
Step-by-step explanation:
I don't know to explain it so this is by khan academy
If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution.
PLEASE HELP
Use the equation y=3(12)x to determine the value of y if x=−2.
A. 3
B. 4/9
C. 3/4
D. 12
ASAP ! The radius of a circle is 12 ft.
8.37 ft?
480
12 ft
28.72 ft
100.48 ft
What is the area of a sector bounded by an 80° arc? (use 3.14 for 1)
16.75 ft
Answer:
Area of sector bounded by angle = 100.37 ft² (Approx.)
Step-by-step explanation:
Given:
Radius of a circle = 12 feet
Arc angle θ = 80°
Find:
Area of sector bounded by angle
Computation:
Area of sector bounded by angle = [θ/360][πr²]
Area of sector bounded by angle = [80/360][(3.14)(12)²]
Area of sector bounded by angle =[0.22][(3.14)(144)]
Area of sector bounded by angle = [0.22][452.16]
Area of sector bounded by angle = 100.37 ft² (Approx.)
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
Step-by-step explanation:
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer: The answer is 4 pieces of chalk
Answer:
7 chalks
Step-by-step explanation:
7 crosses are above numbers that are higher than 5
Can someone please help me?
9514 1404 393
Answer:
C and D
Step-by-step explanation:
Extraneous solutions arise in a couple of cases, both of which are illustrated in this list of answer choices.
1. Square roots (and other even-index radicals). The square root is defined only for positive arguments. When the radical is removed by squaring the equation, the possibility of negative arguments is introduced. Hence, there may be extraneous solutions.
Example:
x = √(x +2) ⇒ x² = x+2 . . . has 2 roots, one of which is extraneous
__
2. Rational function equations. Such an equation is only defined when the denominator is not zero. A method often taught for solution of these equations is "cross-multiplying"--essentially multiplying by the product of the denominators. In the case where this product is not the least common denominator, the equation will have an extra factor that can introduce an extraneous root.
__
The answer choices C and D are likely to have extraneous roots based on the above observations.
_____
Additional comment
Choice D would usually be solved by cross-multiplying. That would give the quadratic equation (x -3)² = 0, which only has solutions x=3. The denominators are zero at x=3, so these solutions are extraneous. If the right side is subtracted from the left side, the fractions can be combined to give ...
((x+3) -6)/((x -3)(x +3)) = 0 ⇒ 1/(x+3) = 0 . . . . no solution
What is the volume of the figure?
Answer:
47.12
Step-by-step explanation:
same as the last question
I. NEED. HELP. NOW. PLEASE.
THIS IS DUE IN 3 HOURS
Answer:
1. $670
2.$920
3.$1500
4.$2100
Step-by-step explanation:
Hope it was fast enough & helpful .
Good luck ^^
please help asap
i keep failing these quizzes i’m so confused
Answer:
try b
Step-by-step explanation:
Calculate the area of the shape below.
Answer:
24 ft²
Step-by-step explanation:
1/2x12x4=24 ft²
pls help will give brainliest and only put 1 variable in it ty
Answer:
(2/3)r=30
r=45cm
Step-by-step explanation:
When trying to find a fraction of something, multiply to get your answer:
(2/3) of r = (2/3)r
The blue ribbon can be represented by both 30cm and (2/3)r cm:
(2/3)r=30
2r=90
r=45cm
Which of the values in the set {3, 4, 5, 6} is a solution to the equation 4x + 2 = 22? (4 points)
a
3
b
4
c
5
d
6
Step-by-step explanation:
[tex]4x + 2 = 22 \\ 4x = 20 \\ x = 5[/tex]
Which confidence level will produce the widest confidence interval, given a
sample proportion of 0.6?
A. 95%
B. 80%
C0. 68%
D. 90%
Answer:
95%
Step-by-step explanation:
Just answer it
What is the formula of sine?
Question 1 options:
Opposite/Hypotenuse
Opposite/Adjacent
Adjacent/Hypotenuse
Formula for sine: Opposite/Hypotenuse
Which statement is best supported by the Information in the box
plots?
A The median of the data for Student 1 is less than the medianof the data for Student2
B. The interquartile range of the data for Student 1 is equal to the
interquartile range of the data for Student 2
C. The range of the data for Student 1 is greater than the range
of the data for Sludent 2
D. The lowest grade for Student 1 is greater than the lowest
grade for Student 2
Answer:Interquartile Range (IQR) ... IQR: Step 1: Put the data in order from least to greatest. ... If the number of data points is even, the median is the average of the middle two data points. ... The first quartile is the median of the data points to the left of the median in the ... Is it possible for the IQR to be less than the given data points?
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
Answer:
66 sq.ydStep-by-step explanation:
Given,
Base of the parallelogram = 11 yd
Height of the parallelogram = 6 yd
Therefore,
Area of the parallelogram = base × height
= 11 yd × 6 yd
[tex] = 66 {yd}^{2} [/tex]
Hence,
Area of the parallelogram is 66 sq. yd