I need this please help me

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)

Answer:

You need to include a picture because there is no figure. I don't know the other numbers of the angles orsides.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The identity property for addition tells us that zero added to any number is the number itself.

Answer:

1. x = 65

2. x = 40

3. x = -7

4. x = -4

5. x = -7

6. x = 4

Step-by-step explanation:

Angles in a triangle always add up to 180 degrees.

Thus, for each triangle you can write an equation setting the sum of the three angles equal to 180, and solving for x.

1. 180 = 80 + 35 + x

   180 - (80 + 35) = x

   180 - 115 = x

   65 = x

2. 180 = 70 + 70 + x

   180 - (70 + 70) = x

   180 - 140 = x

   40 = x

3.  180 = 76 + 41 + (x+ 70)

    180 - (76 + 41) = x + 70

    180 - 117 = x + 70

    63 = x + 70

    63 - 70 = x

    -7 = x    

4. (the red square means its a right angle = 90 degrees)

   180 = 90 + 25 + (x + 69)

   180 - (90 + 25) = x + 69

   180 - 115 = x + 69

   65 = x + 69

   65 - 69 = x

   x = -4

5. 180 = 50 + (57 +x) + (x + 87)

   180 - 50 = (57 +x) + (x + 87)

    130 = (57 +x) + (x + 87)

  combine like terms

  130 =  144 + 2x  

  130 - 144 = 2x

  -14 = 2x

   -7 = x

6. 180 = 80 + (9x + 4) + (16x - 4)

   180 - 80 = (9x + 4) + (16x - 4)

   100 = (9x + 4) + (16x - 4)

   combine like terms

    100 = 25x + 0

    100 = 25x

    4 = x

Answer:

how much money is he saving????

Step-by-step explanation:

Answer:

x = 10√3

y = 10

Step-by-step explanation:

Step 1:

x = r·cos(30°)

y = r·sin(30°)

Step 2:

x = 20·√3/2 = 10√3

y = 20·1/2 = 10

However, there is a shortcut. Since there is a hypotenuse, there is a 90° angle. You are given a 30° angle, so the triangle is 30°-60°-90°.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

The side opposite the 90° angle has length 20, so the side opposite the 30° angle has length 10, and the side opposite the 60° angle has length 10√3.

Answer:

y = 6x

Step-by-step explanation:

You can easily find the slope by using slope formula:

(y2-y1) / (x2-x1) (the numbers are subscript)

E.g: (24-12) / (4-2) = 12/2 = 6

m(slope) = 6

Hope this helped :)

(You can also check if it’s correct by inputting the coords into the equation, seeing if all solutions are aplicable).

Answers:

============================================================

Explanations:

Answer:

555#*6

Step-by-step explanation:

eat 10 pickels go to her party then eat 10 real pickels how many pickles did i have tn

Answer:

c

Step-by-step explanation:

because you have to know how many 8nches is a cube

Answer:

m = 8

n = 40°

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

(I'm assuming you're doing this the same way I learned it, if not I'm sorry if it doesn't make sense)

[tex]\frac{2}{x}[/tex]=[tex]\frac{12}{15}[/tex]

Cross multiply

12x=30

Divide

x=2.5

This is just one way to do the problem. An easier way is to simplify the fractions.

[tex]\frac{2}{x}[/tex]=[tex]\frac{4}{5}[/tex]

You can either cross multiply or figure out that 2 is half of four and simply divide 5 by 2 which will also result in 2.5

Answer:

1/20

Step-by-step explanation:

1/5 chance she will wear the blue shirt on the first day and 1/4 chance she will wear a grey shirt on the second day.

1/5 X 1/4 = 1/20

Answer:

i got 1/20 as my answer

Answer:

(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥

Step-by-step explanation:

(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥

Answer:

Step-by-step explanation:

Distributive property: a(b +c)=(a*b )+(a*c)

a) 2(y + 5x) = y*2  + 5x*2

                  = 2y + 10x

b) 0.4(x + 2) = x*0.4 + 2*0.4

                   = 0.4x + 0.8

Answer:

15b-x=4

Step-by-step explanation:

i am a smart teacher

Answer:

0.60 if it is shepherd!

Step-by-step explanation:

Answer:

b=23 degrees

Step-by-step explanation:

a was 66 degrees so b=23 degrees   180-90-66=23

Answer: (5/8)x

Step-by-step explanation:

Answer:

A. $37,395

Step-by-step explanation:

correct on edge! hope it helps :)

The savings from the difference between the 30–year loan at 11%, which

is 6% gives an interest when the mortgage is paid of approximately;

a. $37,395.18

The amount paid is given as follows;

[tex]Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

Which gives;

[tex]M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}[/tex]

Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8

At the lower interest rate the person could have received (11 - 6 = 5)%, we have;

[tex]M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23[/tex]

Payment in 10 years = $805.23 × 120 ≈ $92,227.6

Savings = $171,418.8 - $96,627.6 = $74,791.2

The time duration the savings is invested in the account = 30 years - 10 years = 20 years

Which gives;

Simple interest  after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6

Therefore;

The option that best gives the amount of money that would have accumulated in interest is the option a.

a. $37,395.18

Learn more about compound and simple interest here:

https://brainly.com/question/24557100

https://brainly.com/question/9245816

Hey there!

The answer to your question is 3480

There are two ways we can do this. I will show you both, so you know how to do it in the future:

The First Way ~ Parantheses First:

Step 1.) Add [tex]86[/tex] and [tex]34[/tex]

[tex]29(120)[/tex]

Step 2.) Multiply

[tex]3480[/tex]

The Second Way ~ Distribute First

Step 1.) Multiply [tex]29[/tex] and [tex]86[/tex]

[tex]29(34)+2494[/tex]

Step 2.) Multiply [tex]29[/tex] and [tex]34[/tex]

[tex]986+2494[/tex]

Step 3.) Add [tex]986[/tex] and [tex]2494[/tex]

[tex]3480[/tex]

Have a terrificly amazing day!

Answer:

(6, 687)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I believe the answer would be 2.5E14- (D)

I hope that helped!!

In the case above about Samuel, we can say that Samuel's calculator has display option A;  2.5 E (- 13)

The function was 5 EE (-) 9 divided by 2 EE 4

5 EE (-) 9/ 2 EE 4

We know that, E implies 10 to rise to power.

So, the equation above is Converted from scientific notation into standard form;

= 5 EE (-) 9/ 2 EE 4

= 5/2  x 10 ⁻⁹⁻⁴

=2.5 x 10⁻¹³

Therefore, In the case above about Samuel, we can say that Samuel's calculator has display option A;  2.5 E (- 13)

Learn more about calculator from;

brainly.com/question/2146941

#SPJ2

Answer:

A im pretty sure

Step-by-step explanation:

Answer:

y = 40

Step-by-step explanation:

Given, y = 5 * 2^x

If x = 3, y would be:

Substitute the value of x into the given function.

Thus,

y = 5*2³

y = 5*8

y = 40