Find the 80th derivative of f(c)
ET
sin(2).
f(80)
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Compute the first few derivatives to reveal a pattern:
f(x) = x sin(x)
f '(x) = x cos(x) + sin(x)
f ''(x) = (-x sin(x) + cos(x)) + cos(x) = -x sin(x) + 2 cos(x)
f '''(x) = (-x cos(x) - sin(x)) - 2 sin(x) = -x cos(x) - 3 sin(x)
f ''''(x) = (x sin(x) - cos(x)) - 3 cos(x)) = x sin(x) - 4 cos(x)
f ⁽⁵⁾(x) = (x cos(x) + sin(x)) + 4 sin(x) = x cos(x) + 5 sin(x)
f ⁽⁶⁾(x) = (-x sin(x) + cos(x)) + 5 cos(x) = -x sin(x) + 6 cos(x)
f ⁽⁷⁾(x) = (-x cos(x) - sin(x)) - 6 sin(x) = -x cos(x) - 7 sin(x)
f ⁽⁸⁾(x) = (x sin(x) - cos(x)) - 7 cos(x) = x sin(x) - 8 cos(x)
and so on.
The pattern should be clear: for some integer k,
• if n = 4k, then f ⁽ⁿ ⁾(x) = x sin(x) - n cos(x)
• if n = 4k + 1, then f ⁽ⁿ ⁾(x) = x cos(x) + n sin(x)
• if n = 4k + 2, then f ⁽ⁿ ⁾(x) = -x sin(x) + n cos(x)
• if n = 4k + 3, then f ⁽ⁿ ⁾(x) = -x cos(x) - n cos(x)
80 is a multiple of 4, so the 80th derivative falls in the first category. Then
f ⁽⁸⁰⁾(x) = x sin(x) - 80 cos(x)
Two angles are supplementary. One angle measures (4x+13) degrees and the other measures (5x-4) degrees. What is the measure of the smaller angle
Answer: 89
Step-by-step explanation:
The ratio of dogs to cats at the pet store is 2:5. If there are 14 total pets, how many dogs and cats are there? *
Answer:
4 Dogs and 10 Cats
Step-by-step explanation:
2*2=4
5*2=10
4:10
Hope this helped!
Is this expression equivalent to 1.5?
1.5 / 10
(1.5 divided by 100)
Answer:
Very False
Step-by-step explanation:
1.5 divided by 100 I can tell you is not equivalent to 1.5
Find the area of the trapezoid.
4 cm
12 cm
3
cm
Answer: 30
Step-by-step explanation:
A=a+b
2h=12+3
2·4=30
Answer: 24
Step-by-step explanation:
Pls answer if you know the ANSWER
Cindy had 5 blue cars and 12 red cars in her collection. what is the ratio of blue cars to red cars. SELECT ALL THAT APPLY
5:17
5:12
5:7
12:5
Answer:
5:12
Step-by-step explanation:
On Monday, Maggle ran n miles. On Tuesday, she ran 90% of the number of miles that she ran on Monday. On Wednesday, she ran 50% of the
number of miles that she ran on Tuesday.
Move a symbol to the box and expressions to the blanks to create two equivalent expressions that represent the total number of miles
Maggie ran on Monday, Tuesday, and Wednesday.
First expression: n +0.91
Second expression:
+
х
0.45
0.45n
0.5
0.5
1.35
1.5
2.35
Answer:
[tex]Total = 2.35n[/tex]
Step-by-step explanation:
Given
Monday = n
Tuesday = 90% of Monday
Wednesday = 50% of Tuesday
Required
Determine the total miles
We have:
Tuesday = 90% of Monday
Substitute n for Monday
Tuesday = 90% of n
[tex]Tuesday = 90\% * n[/tex]
Express percentage to decimal
[tex]Tuesday = 0.90 * n[/tex]
[tex]Tuesday = 0.90n[/tex]
We also have that:
Wednesday = 50% of Tuesday
Wednesday = 50% * Tuesday
Substitute 0.90n for Tuesday
[tex]Wednesday = 50\% * 0.90n[/tex]
Express percentage to decimal
[tex]Wednesday = 0.50 * 0.90n[/tex]
[tex]Wednesday = 0.45n[/tex]
The total number of miles is:
[tex]Total = Monday + Tuesday + Wednesday[/tex]
[tex]Total = n + 0.90n + 0.45n[/tex]
[tex]Total = 2.35n[/tex]
I need help with this
Answer:
what is your cam qlty
Step-by-step explanation:
Answer:
22ft^2
132 ft^3
Step-by-step explanation:
Is this expression equivalent to 1.5?
15.0 / 10
15.0 (divided by) 10
Answer:
Yes it is true
Step-by-step explanation:
15/10 equals 1.5
Guys help! I need a right answer for this.
Answer:
68
Step-by-step explanation:
96 (DE) divided by 32 (AB)
which gives you 2
34 times 2 is 68
A and T are variables.
The variable (48 - A) is directly proportional to the square of the variable T.
A is 28 when T = 2
(a) Find the formula for (48 - A) in terms of T.
please answer fasttt
Answer:
20 is the answer
Step-by-step explanation:
48-28=20
turn 15/6 into a mixed number
Answer:
2 3/6
Step-by-step explanation:
divide 15 by 6 to get 2, and left with a remainder of 3.
Simplify the expression to a polynomial in standard form:
(
3
x
+
5
)
(
2
x
2
+
x
+
5
)
(3x+5)(2x
2
+x+5)
Answer:
9x
4
+120x
3
+550x
2
+1000x+100x2
2
+500x2+625+18x
3
x2+150x
2
x2+350×2+50x2x+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30x
2
x2+150×2
Step-by-step explanation:
(3x+5)(2x2+x+5)(3x+5)(2x2+x+5)
=(6×2+3x
2
+15x+10x2+5x+25)(3x+5)(2x2+x+5)=
=(3x
2
+20x+10x2+25+6×2)(3x+5)(2x2+x+5)=
=(9x
3
+15x
2
+60x
2
+100x+30×2+50x2+75x+125+6×2⋅3x+6×2⋅5)(2x2+x+5)=
=(9x
3
+15x
2
+60x
2
+100x+30×2+50x2+75x+125+18x
2
x2+6×2⋅5)(2x2+x+5)=
=(9x
3
+15x
2
+60x
2
+100x+30×2+50x2+75x+125+18x
2
x2+30×2)(2x2+x+5)=
=(9x
3
+75x
2
+175x+50x2+125+30×2+18x
2
x2+30×2)(2x2+x+5)=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+30×2⋅2x2+30×2x+30×2⋅5+18x
2
x2⋅2x2+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30×2x+30×2⋅5+18x
2
x2⋅2x2+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+30×2⋅5+18x
2
x2⋅2x2+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+18x
2
x2⋅2x2+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
2
x2x+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+18x
2
x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+30×2⋅2x2+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30×2x+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30x
2
x2+30×2⋅5=
=18x
3
x2+9x
4
+45x
3
+150x
2
x2+75x
3
+375x
2
+350×2+175x
2
+875x+100x2
2
+50x2x+250x2+250x2+125x+625+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30x
2
x2+150×2=
=9x
4
+120x
3
+550x
2
+1000x+100x2
2
+500x2+625+18x
3
x2+150x
2
x2+350×2+50x2x+60×2
2
+30x
2
x2+150×2+36x
2
x2
2
+18x
3
x2+90x
2
x2+60×2
2
+30x
2
x2+150×2
Sandy spent half of her allowance going to the movies. She washed the family car and camed 6
dollars. What is her weekly allowance if she ended with 11 dollars?
Answer:
12
Step-by-step explanation:
12 is what she ended with and spent half of the weekly allowance and got 6 for the car wash.
so 12 - 6 is 6 which is the money she has after the movies but before the car wash.
And before the movies she has 12$ a week
A white-tailed deer is running from a black bear at 20 miles per hour. It is 1/3 miles in front of the bear. The bear is running at 30 miles per hour. How many minutes will it take the bear to catch the deer? Assume both continue running at a constant pace.
Answer:
Step-by-step explanation:
d=20t+1/3, b=30t
20t+1/3=30t
10t=1/3
t=1/30 hr
t=(1/30)60=2 min
is 1/2 = 20/40 an equivalent fraction?
2. Which of the following fractions is greater
than 3/4?
A 1/4
B 5/6
C 3/8
D 2/3
Answer: I THINK it would be 1/4. I could be incorrect though.
What is the midpoint of the segment shown below (3, 7) (2, -1)
Answer:
(3,7) (2,-1)
(y1,Y2K)(z1,z2)
(y2-y1)(z2-z1)
(7_3)(-1-2)
(4)(-3)
=-12
There are 10 socks in a bag. 5 of those socks are blue.
Answer:
so 1/2 of those socks aren't blue?
What is the mean of 210,160,and 200
Answer:
190
Step-by-step explanation:
mean = sum of all the numbers/# of numbers
210 + 160 +200 = 570
570/3 = 190
Answer:
190
Step-by-step explanation:
you divide 570 by 3, which is 190.
Interior-Angle
Lesson 7.8
Divide the polygon into triangles. Then, multiply the number
of triangles by 180 to find the interior-angle sum for each
polygon.
Answer:
To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.
copied from,
www.bbc.co.uk › guides › revision
Hope this helped
Hope this helpedALL THE BEST !!
A coin with a head side and a tail side is flipped 3 times.
What is the probability that it lands on tails all 3 times?
Answer:
like a 10% chance
Step-by-step explanation:
Two containers of gasoline hold a total of 43 gallons. The big container can hold 8 less than twice the
smaller container. How many gallons does each container hold?
The smaller container holds
gallons while the larger one contains
gallons
Question Help D Video Written
Answer:10
Step-by-step explanation:
ANSWER QUICK PLS ANSWER QUICK PLS
Pls answer all questions
Answer:
this is the closest i can get to the answer
1. 0.33/1 = 0.33
2. how much it costs per ounce
3. it represents the facts that it costs 0.33 per ounce
4. y=0.33x+0.33
sorry if it's wrong
There are 16 dominos in the center of the table to play the game. There are four players who are playing the game.
Which equation can be solved to find the number of dominos each player will receive if they each receive the same
number of dominos?
Answer:
16÷d=4 or d=64
Step-by-step explanation:
This is a question I had before and I hope this helped you too.
What is the area for this?
Answer:
174 ft sq is area of this figure
I need help what is 6 diveded by 386 =
A. 384
B. 330
C. 386
D. 396
reducción de 7a-10b+6b+2a+9a=
Answer:
7a-10b+6b+2a+9a=?
7a+2a+9a= 18a
-10b+6b= -4b
Final: 18a-4b
Step-by-step explanation:
Hope that this helps you out! :)
-4 < t + 2 < 4
How do you do this?
Answer:
t(-6,2)
Step-by-step explanation:
t(-6,2)
t+2>-4
t+2<4
t>-6
t+2<4
t>-6
t<2
Please I would be grateful I need help
Answer:
A.. 3x
Step-by-step explanation:
Option A is the correct answer.
[tex] 9xy^2 - 6xy - 3x[/tex]
[tex]= 3x(3y^2 - 2y - 1)[/tex]