Mathematics College

Find the 80th derivative of f(c)
ET
sin(2).
f(80)
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Find The 80th Derivative Of F(c)ETsin(2).f(80)Submit Question

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Answer 1

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)

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Answer:

30.05

Step-by-step explanation:

10% 27 = 2.7

5% 27 =1.35

2.7+ 1.35 = 3.05

27 + 3.05 = 30.05

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

(sin x)^2 is always 0 or positive.  Here x lies in QII.

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In summary, (sin x)^2*(sec x) is positive in QII

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

When working you earn a wage of $150 and then an additional 20 for each item you sell

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Hope this helps! :')

Step-by-step explanation:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply

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Answer: 50 miles

Step-by-step explanation:

Because 25 x 2 = 50

and 1 inch is 25 miles and 2 inches is then 50 miles

Answer:

C. 50 miles

Step-by-step explanation:

Which point of concurrency always lies on the interior of a triangle? Check all that apply.
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Answers

Answer:

incenter hope it helps

Step-by-step explanation:

The point of concurrency that always lies on the interior of a triangle is to be considered as the incenter.

What is incenter?

Here the incenter refer to the concurrency point of the angle bisectors with respect to all of the interior angle.

Here, the point where three angle bisectors of the angles of the triangle should be met out is called as the incenter.

Also, the incenter should always be lies within the triangle.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

Store C

Step-by-step explanation:

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$2.50 divided by 10 is 25 cents

so the price for store a is 25 cents per pencil

store b is selling 50 pencils for $6.00

$6.00 divided by 50 is 12 cents

so the price for store b is 12 cents per pencil

store c is selling 100 pencils for $8.25

$8.25 divided by 100 is 8.25 cents

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$21.25 divided by 250 is 8.5 cents

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Answer:

60 degrees

Step-by-step explanation:

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Answer:

x=60

Step-by-step explanation:

We know that since all sides are the same, all angles are the same.

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Answers

Answer:

Determine the ratio of shaded sections to the total number of sections. Write the ratio as a fraction in simplest form and as a decimal.

Answer:

3/8

Step-by-step explanation:

Total no. of sections= 8

No. of shaded sections= 3

Therefore, the ratio = 3/8

PLEASE ANSWER ASAP


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Answers

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Answers

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Answers

Look at the screenshot below

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Answers

Answer: -8

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Answers

Answer:

x=20, y=100

Step-by-step explanation:

3x+2x=7x-40

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100=y

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According to the exterior angle theorem, the two remote interior angles are equal to the exterior angle. This is why we set 3x+2x equal to 7x-40.

According to the vertical angles theorem, two angles that are opposite and formed by two intersecting straight lines are equal. This is why we set 7x-40 equal to y.

Because we already knew that x was 20, we could put it into our equation. (7*20)-40=y.

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Answer:
Faris' arrival time = 3:30 pm + 3 h 54 mnt = 7:24 pm
Step-by-step explanation:
Driving distance between Manchester to London = 195 miles
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Answers

Answer:

y= 28x+8

Step-by-step explanation:

Surface Area of 20,70,90 Will give brainliest to correct answer

Answers

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

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Answers

Jessica‘s mom is 30. Jessica‘s daughter is zero years old. Jessica‘s mom had Jessica at 15 years old. Jessica is 15 years old. Jessica‘s grandma is 45. Jessica‘s great grandma is 60. How old is Jessica‘s great great great great great great grandma? I know the answer it’s just so everybody can have extra points yay. Must show work. How many music part is Jessica grandma to her great great great great great great grandma?

Answer:

135

Step-by-step explanation:

jessica's family as a rule to give birth at the age of 15 clearly so you 5 lots of 15 to 60 and boom. simple

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Answers

Answer:

$96

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

80*.20=16

80+16=96

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Answers

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