Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.

Answers

Answer 1

Answer:

Step-by-step explanation:

First derivative

[tex]12x^5+12x^3 -x^{-2}-2cos (2x)[/tex]

Second derivative

[tex]60x^4+36x^2+2x^{-3}+4sin(2x)[/tex]

Third derivative

[tex]240x^3+72x-6x^{-4}+8cos(2x)[/tex]

Fourth derivative

[tex]720x^2+72+24x^{-5}-16sin(2x)[/tex]


Related Questions

Which statement best describes how to determine where f(x)=x^2-x+8 is an even function

Answers

Answer:ogros reconocer a negra denda como el me de una sumatoria que permite calcular ... Como vimos, entre más subdivisiones del intervalo tomemos, mejor será la ... que la aproximan y luego determinar a qué valor tiende el área cuando n ... n k=1 1 ( kYo 1 - — lí X +- o = + (Vé ejemplo 8. a-na-n X () 3 (véase e eje plo 8.)

Step-by-step explanation:

Find the indicated values g(t)=t^2-t and f(x)=1+x g(f(2)+3)

Answers

Answer:

g( f(2)+3) = 30

Step-by-step explanation:

step(i):-

Given function  g(t)=t²-t and f(x)=1+x

given f(x)=1+x

         f(2) = 1 + 2 =3

step(ii):-

g( f(2)+3) = g(3 + 3)

              = g(6)

             = (6)² - 6

             = 36 -6

             = 30

Conclusion:-

g( f(2)+3) = 30

Consider the function.
f(x) = 2 1/2 - 3 1/3x
What is the x-intercept of f-1(x)?
(-3 1/3,0)
(-3/10,0)
(3/4,0)
( 2 1/2, 0)

Answers

Answer: (2 1/2, 0) (the last option)

Step-by-step explanation:

I guess the function is:

f(x) = (2  1/2) - (3  1/2)*x

now, the rule for f-1(x) that we know is:

f-1( f(x) ) = x.

So if we want to find the x-intercept of f-1(x), we must evaluate it in f(0)

f-1(f(0)) = 0.

And we have that f(0) = (2  1/2) - (3  1/3)*x = 2  1/2

This means that the x-intercept of f-1(x) will be when x= 2  1/2, so the intercept is:

(2 1/2, 0)

Answer: the answer is D

Step-by-step explanation:

big fat smelly ballsack

Find the surface area and volume of a rectangular prism with the following dimensions: Length = 9 cm, Width = 5 cm, Height = 6 cm

Answers

Answer:Area=258cm square

Step-by-step explanation:

Length:9 cm

Width:5 cm

Height:6 cm

=A=2[wl+hl+hw]=2.[5.9+6.9+6.5]=258 cm square

Is this statement true or false? 600 meters = 6 hectometers

Answers

Answer:

true

Step-by-step explanation:

hectometer is 100 meters,

thus 6 hectometers is equal to 600 meters, and the statement is true

220 meters = ________ centimeters

Answers

Answer:

220 meters=22000 centimeters

Step-by-step explanation:

Hope this helps!!! :)

30 POINTS!!!!!Which of the following expressions has a value that is less than - 1/2 ? Select all that apply.

A + B
0 - E
B + D
E - F
C - A

Answers

Answer:

2, and 4 and 5 are possible solutions.

Step-by-step explanation:

It's not confirmed that 4 and 5 are, but they could be. 2 is a definite, unless E=.002 or something like that.

Can someone please tell me what the slope of the line in this graph is!!!!!!

Answers

Answer:

-1/3 I think

Step-by-step explanation:

I find the slope by finding 2 points where the line hits. I then just count up and across. Could be wrong :/

Hope this helps though :)

Answer:

slope = y2-y1

x2- x1

= 4-2 = 2

6-0. 6

= 1/3

Write the slope-intercept form of the equation. 2y+5x=–1

Answers

Answer:

y=-5/2x-1/2

Step-by-step explanation:

HOPE THIS HELPS:)

STAY SAFE:)

PLZ HELP ASAP WILL GIVE BRAINLIEST- If the perimeter of the triangle is 91 inches, what is the length of the base? -Picture Below!

Answers

Answer:

Base = 35 inch

Step-by-step explanation:

Given that the triangle is an isosceles triangle;

The length of the two sides is: 12b - 8

The length of the base is: 9b + 8

Perimeter = 91 inches

Required

Calculate the length of the base;

The perimeter of a triangle is gotten by adding the length of the three sides.

So, in this case; we have

[tex]Perimeter = 12b - 8 + 12b - 8 + 9b + 8[/tex]

Collect like terms

[tex]Perimeter = 12b + 12b + 9b - 8 - 8 + 8[/tex]

[tex]Perimeter = 33b - 8[/tex]

Substitute 91 for Perimeter

[tex]91 = 33b - 8[/tex]

Add 8 to both sides

[tex]91 + 8 = 33b - 8 + 8[/tex]

[tex]99 = 33b[/tex]

Divide both sides by 33

[tex]\frac{99}{33} = \frac{33b}{33}[/tex]

[tex]3 = b[/tex]

[tex]b = 3[/tex]

Recall that the base of the triangle is 9b + 8

Base = 9b + 8

Substitute 3 for b

Base = 9(3) + 8

Base = 27 + 8

Base = 35 inch

Scott found the area of the shape to
be 30 square units. If he used a unit
square with longer sides, would his
area measurement be greater than
30 square units or less than 30 square
units? Explain.​

Answers

Answer:

So if we do this to the area of Scott's shape, the result will be less than 30 squares units.

Step-by-step explanation:

If a shape has "x" square units, it means that we can fit that number of squares with side length of one unit in that given shape. For the case where we change the unit, we are changing the length of the square's sides, if the new one has greater sides, then it means that the square is bigger, therefore for the same shape we will be able to fit less squares. So if we do this to the area of Scott's shape, the result will be less than 30 squares units.

The cost of a phone is reduced by 15%. The new cost is $104.17. What was the original price of the phone?

Answers

119.80$

Step-by-step explanation:

if you add 15% to 104.17 is equal to 119.80

The cost of a phone is reduced by 15%. The new cost is $104.17. What was the original price of the phone?

Answer:

Actually, the answer is $694.47

Step-by-step explanation:

You use the equation % over 100 = is over of

so you put

15                  $104.17%

-             =         -

100                   x

cross multiply the $104.17 by 100 and divide by 15

PLEASE HELP THIS IS URGENT I AM BEING TIMED!!

Four children have the following weights: 45.5 pounds, 61 pounds, 37.2 pounds, and 16.34 pounds. What is the average weight of the children?

Answers

Answer:

40.01 lb

Step-by-step explanation:

mean:

(45.5+61+37.2+16.34)/4

160.04/4

40.01

Answer:

40.01

Step-by-step explanation:

First add all of the weights together and it should give you 160.04 divide that by 4 children and there is your answer

) Which expression represents the change in the
ship's location?
15
14-
2.4
13-+
12-1
11-
•) What is 2-4?
10-+
9
2-4=
8
8-
7
6
•) Which expression represents the change in the
ship's location?
5
4
3 +
2+(-4)
2 +4
2-(-4)
2.4

Answers

Answer:

5

Step-by-step explanation:

5677777273882828282929929282828828828×4=5

answer:

2*4

explanation:

2*4=8.000000000000000000000000

Analyze the graphed function to find the local minimum and the local maximum for the given function. Which statements about the local maximums and minimums for the given function are true? Choose three options. Over the interval [1, 3], the local minimum is 0 Over the interval [2, 4], the local minimum is –8. Over the interval [3, 5], the local minimum is –8. Over the interval [1, 4], the local maximum is 0. Over the interval [3, 5], the local maximum is 0.

Answers

Answer:

Over the interval [2, 4], the local minimum is –8,Over the interval [1, 3], the local minimum is 0,and Over the interval [3, 5], the local maximum is 0.

Step-by-step explanation:

Answer:

B,C,D

Step-by-step explanation:

For each line, determine weather the slope is positive, negative, zero, or undefined.

Answers

Answer:

Below in bold.

Step-by-step explanation:

A horizontal line has zero slope and a vertical line undefined

In order they are: Zero, undefined, negative positive

Answer: The first one is zero, the second one is undefined, the third one is negative, and the fourth one is positive.

Step-by-step explanation:

Find the equation of a line that passes through left parenthesis 1 comma 6 right parenthesis(1,6) and is parallel to the graph of y equals 4 x plus 5y=4x+5. Write the equation in​ slope-intercept form, if possible.

Answers

Answer:

The equation for the new line in slope-intercept form is:  

[tex]y=4x+2[/tex]

Step-by-step explanation:

Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)

We are also given a point the new line should go through : "(1, 6)"

So we can use the "point-slope" form of a line to find the equation of this new line:

[tex]y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0[/tex]

which for our case is:

[tex]y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2[/tex]

Which of the following statements best describes adjacent angles?
Adjacent angles are vertical.
O Adjacent angles are supplementary.
Adjacent angles share interior points.
Adjacent angles share a side.

Answers

Answer:

  (d)  Adjacent angles share a side.

Step-by-step explanation:

Adjacent angles share a side and a vertex, but do not share any interior points. The appropriate choice is ...

  Adjacent angles share a side.

Answer: D:  Adjacent angles share a side

Step-by-step explanation: Hope that helped

A carnival ride is in the shape of a wheel with the radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive full credit.

Answers

Answer:

α = 12°

L = 6.28 ft

[tex]A = 94.25 ft^2[/tex]

Step-by-step explanation:

The wheel contains 30 cars attached to it.

The wheel is in the shape of a circle and a circle has 360°.

Therefore, the angle between any two cars will be:

360 / 30 = 12°

The length of the arc between two cars is given as:

[tex]L = \frac{\alpha }{360} * 2\pi R[/tex]

where α = central angle of sector

R = radius of circle

Given that the radius of the wheel is 30 feet, the length of the arc is:

[tex]L = \frac{12}{360} * 2 * \pi * 30\\\\L = 6.28 ft[/tex]

The area of a sector is given by:

[tex]A = \frac{\alpha }{360} * \pi R^2[/tex]

Therefore, the area of the sector between any two cars is:

[tex]A = \frac{12}{360} * \pi * 30^2\\\\A = 94.25 ft^2[/tex]

PLEASE HELP ME OUT PLEASE PLEASE IT WOULD BE HELPFUL THANK YOU

Answers

Answer:

D

Step-by-step explanation:

Starts with 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

and so on

Write the standard form of the equation for
the line that passes through the points
(-4. – 7) and (5. 1).

Answers

Answer:

8x-9y=31

Step-by-step explanation:

The multiplication property of equality could be used to solve which of the following equations?
4x = 5
X + 5 = -4
8/X= 1
(x + 5)(4x - 1) = 0

Answers

Answer:

8/X= 1

Step-by-step explanation:

"8/X= 1" requires the multiplication property of equality for 'x' to get solved.

[tex]\frac{8}{x}=1\\\\\frac{8}{x}*x=1*x \leftarrow\text{Multiplication Property of Equality}\\8 = x \\\\\boxed{x=8}[/tex]

Answer:

Step-by-step explanation:

I would probably say C which is 8/X= 1.

The first one uses the division property of equality.

The second uses the subtraction property of equality.

The third uses multiplication property of equality, which basically means  mulitplying both sides of an equation by the same quantity.

The last one does not follow any property that I am aware of or am acquainted with.

does anyone know this?

Answers

Answer:

16x

Step-by-step explanation:

What goes in the box is

4x * 4

16x

What is the surface area of the prism, in square centimeters?

Answers

Answer:

1/2 x 6 x 4 x 10 = 120

Step-by-step explanation:

area of triangle x extended length

30 points!!!

Find the value of x. sin 62°=7x

Answers

Answer:

Step-by-step explanation:

x = 0.12613537

Help me ASAP i always give brainliests, and thanks i need u!
Please answer the following not complicated question on finding x

Answers

Answer:

4. [tex]11.333...[/tex]

Answer:

Answer is  (4) -11.333

Step-by-step explanation:

multiply : 2x /12-4/3= 4x /15 -1/5

bring variable on one side :

2x/12 -4x/15= 4/3 - 1/5

common denominator : -6x/60=17/15

simplify : -x/10= 17/15

x= - 170/15= -11.3333

What are the ratio as a fraction for 4:6

Answers

Answer:

[tex]\frac{4}{6}[/tex]

Step-by-step explanation:

or 4 over 6

i think this is right and i hope it helps:D

The table shows the function representing the height in the area of the base of a rectangular prism for different values of X the volume of the prism when X = 3 is 36 which equation can be used to represent the volume of the prism, v(x)?

Answers

Answer:

A

can i have brainliest lol

Step-by-step explanation:

when x = 3, the volume is 36.

4 times 9 = 36, so you multiply f(x) by g(x) to get 36

Mrs. Dombrowsky bought 27 books for the
class. What was the cost for one book if she
spent a total of $67.50?

Answers

Answer:

$2.50

Step-by-step explanation:

67.50/27 = 2.50

Answer:

$2.50

67.50/27 = 2.50

Step-by-step explanation:

Which expression is modeled by this set of arrows on the number line? A number line going from negative 8 to positive 8. An open circle is at 0. An arrow goes from 0 to negative 3, and from negative 3 to negative 6. Negative 6 divided by (negative 3) Negative 6 divided by 3 6 divided by (negative 3) 6 divided by 3

Answers

Answer:

A  -6 divided by (-3)

Step-by-step explanation:

pls give brainliest!!! i would REALLY appreciate it! hope i helped :3

The expression which model the given statement is

" negative six is divided by negative 3"

What is expression?

The mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between is called expression.

According to the given question.

An arrow goes from 0 to -3. And then -3 to -6.

This shows that from 0 to -6 the line in divided into two parts. And each part is 3 units.

Therefore, the expression which model the given statement is

" negative six is divided by negative 3"

or [tex]\frac{-6}{-3}[/tex] which is equals to 2.

Hence, the required expression is -6/-3.

Find out more information about expression here:

https://brainly.com/question/5503202

#SPJ3

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