Find the derivative of the function.
F(x) =
x2 integral et7dt
x

Answers

Answer 1

The requried derivative of the given function is [tex]F'(x) = 2xe^{x^{14}} - e^{x^7}[/tex].

What is implicit differentiation?

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol

here,
Given expression,
[tex]F(x) = \int\limits^{x^2}_x {e^{t^7}} \, dx[/tex]

Following the Leibniz rule
[tex]F'(x) = \frac{d}{dx}[ \int\limits^{x^2}_x {e^{t^7}} \, dx]\\F'(x) = \int\limits^{x^2}_x \delta/\delta x (e^{t^7}) + (e^{(x^2)^7}) d/dx (x^2) - e^{x^7}d/dx [x] \\F'(x) = 0 + 2xe^{x^{14}} - e^{x^7}\\F'(x) = 2xe^{x^{14}} - e^{x^7}[/tex]

Thus, the requried derivative of the given function is [tex]F'(x) = 2xe^{x^{14}} - e^{x^7}[/tex].

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Related Questions

Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. -2 1 1 - 4 3 4 ; 2 = -1,4 -2 2 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For P=___ D= 0 4 0 0 0 4 -1 0 0 O B. For Pa = ___ D = 0 -1 0 0 04 OC. O The matrix cannot be diagonalized.

Answers

The correct answer is option A. For P= -1/2 0 1/2 1/2 0 -1/2 0 0 1 D= 0 4 0 0 0 4 -1 0 0. The matrix can be diagonalized using the eigenvectors.

To diagonalize the matrix, the eigenvectors must be found first. The eigenvectors can be found by solving the characteristic equation and finding the eigenvalues. The eigenvalues of the matrix are 2 and -1. The eigenvectors associated with each eigenvalue are determined by solving the eigenvalue equation.

The eigenvectors for the matrix are [1, -2], [1, 2], [1, 0], and [0, 1]. After the eigenvectors are found, the matrix can be diagonalized by constructing the transformation matrix P. The transformation matrix P is composed of the normalized eigenvectors. The transformation matrix P is: P=[-1/2, 0, 1/2, 1/2, 0, -1/2, 0, 0, 1], and the diagonal matrix D is composed of the eigenvalues.

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Maurice finished 12/25 of his book. He says he is more than halfway done with his book. Is he correct or incorrect? Explain.

Answers

Answer:

He is incorrect. If you want 12 to be half of the book the other number would have to be twenty four.

Answer:

incorrect

Step-by-step explanation:

it has to be 12.5 to be exactly half way done with it

What is the degree of the polynomial 5x³ 4x² 7x?

Answers

The polynomial 5x³ 4x² 7x has three terms, with the highest degree being 3, which makes the degree of the polynomial 3. The polynomial can be written as 5x³ + 4x² + 7x.

1. Identify the polynomial: 5x³ + 4x² + 7x

2. Count the number of terms: 3

3. Find the highest degree (the largest exponent): 3

4. The degree of the polynomial is 3.

The degree of a polynomial is the highest degree of its terms. A polynomial is a mathematical expression consisting of one or more terms with coefficients and exponents. In this case, the polynomial is 5x³ + 4x² + 7x. This polynomial has three terms, and the highest degree is 3, which makes the degree of the polynomial 3. This means that the largest exponent of the terms is 3. To calculate the degree of a polynomial, simply count the number of terms and identify the highest degree, which is the largest exponent. If the polynomial has only one term, then the degree is the exponent of that term

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Which of the systems of linear equations are equivalent?

Answers

Answer:

The first two

Step-by-step explanation:

The first two

The bottom equation of the second set is the

bottom equation of the first set multipied by -2

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

A) All positive real numbers.

Step-by-step explanation:

Money can only be real numbers/decimals

And because your adding it can't be negative.

Answer:

D

Step-by-step explanation:

This is a real world situation, meaning that there will be no negative amount if weeks, This rules out B and C. As all the numbers are whole, there is no reason for the answer to be all positive real numbers making the answer D.

PLS HELP I WILL GIVE BRAINLIEST TO THE BEST CORRECT ANSWER

Answers

Answer:

Step-by-step explanation:80085

Answer:

Graph 1: No

Graph 2: No

Graph 3: No

Graph 4: Yes

Graph 5: No

Graph 6: Yes

Step-by-step explanation: To figure out whether a graph is a function, you need to give each graph a Vertical Line Test. All you need to do is see if more than one point is on the same line whenever a vertical line is placed. If there is more than one point on any vertical line that you drew, it's not a function.

Hope this helps! :)

F(x)=5-3x find f(x+2)

Answers

Answer:

f(x + 2) = - 3x - 1

Step-by-step explanation:

substitute x = x + 2 into f(x) , that is

f(x + 2)

= 5 - 3(x + 2)

= 5 - 3x - 6

= - 3x - 1

Given f(x)=5−3x

Put x=x+2, we get,
f(x+2)=5−3(x+2)

∴f(x+2)=5−3x−6

∴f(x+2)=−1−3x

Can anyone help with the answer

Answers

The height of the tree to the nearest hundredth of metres is 2.03 metres.

How to find the height of a tree?

Emily is 1.65 metres tall. At 3 pm she measure the length of a tree's shadow to be 28.15 metres . She stands 22.9 metres away from the tree, so that the tip of her shadow meet the tip of the tree shadow.

Therefore, the height of the tree to the nearest hundredth of metres can be calculated as follows:

using proportion,

let

x = height of the tree

Therefore,

1.65 / 22.9 = x / 28.15

cross multiply

28.15 × 1.65 = 22.9 × x

22.9x = 46.4475

divide both sides by 22.9

x = 46.4475 / 22.9

x = 2.02827510917

x = 2.03 metres

Therefore,

height of tree = 2.03 metres

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Solve the Linear system by using substitution.

y= -3x -1
4x+3y=2

Answers

The solution for the given system of equations is (-1, 2).

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of linear equations are y=-3x-1 ------(I) and 4x+3y=2 ------(II).

Substitute y=-3x-1 in equation (II), we get

4x+3(-3x-1)=2

4x-9x-3=2

-5x=5

x=-1

Substitute x=-1 in equation (I), we get

y=-3(-1)-1

y=2

Therefore, the solution for the given system of equations is (-1, 2).

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28. Anael cut several boards to build a deck.
The boards must be 100 in. ± 0.25 in. Her
measurements of the boards after cutting
them are shown in the graph. Which boards,
if any, can she not use?

Answers

Anael can not use the fourth board measurement. This can be solved by using the concept of inch scale.

What is inch scale?

A centimeter is smaller than an inch. On the other side of the centimeter ruler, inches are denoted by the large, continuous hash marks that are inscribed above the digits. On a ruler, the inch is the largest unit and is denoted by the longest line. There is a number next to each 1-inch line on the ruler that designates.

Since the international yard was adopted in the 1950's and 1960's, standards for the precise length of an inch have fluctuated, but the inch is now based on the metric system and is defined as precisely 25.4 mm.

The question given here,

the first board measurement: [tex]99\frac{3}{4} =[/tex] 99 inch ± 0.75 inch

the second board measurement: [tex]99\frac{7}{8} =[/tex] 99 inch ± 0.875 inch

the third board measurement: [tex]100\frac{1}{6} =[/tex] 100 inch ± 0.16 inch

the fourth board measurement: [tex]100\frac{5}{16} =[/tex] 100 inch ± 0.3125 inch

the fifth board measurement: [tex]99\frac{13}{16} =[/tex] 99 inch ± 0.8125 inch

Thus, Anael can not use the fourth board measurement.

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sutton is listing the prime factorazation for 220 what is the last factor she needs 2 square root of 5

Answers

Answer:

4.472135955

Step-by-step explanation:

what does this mean please tell me the answer, Thanks!

Answers

It is rotation. when you move it upside down, it looks the same

9514 1404 393

Answer:

  Any of ...

rotation 180° about the center of symmetryreflection across the horizontal and vertical lines through the center of symmetry, in either orderreflection across any horizontal line, translation to the left, and translation up or down to final position (depending on where the horizontal line is)

Step-by-step explanation:

The question is asking you what combinations of rotation, reflection, translation, and dilation will make the W have the position, orientation, and size of the M.

The image (M) is the same size as the preimage (W), so no dilation is involved.

The up-down orientation of the image is opposite that of the preimage, so reflection across a horizontal line, or rotation 180° will be involved. Depending on the line of reflection or the center of rotation, translation to the final image position may be required.

The preimage is symmetrical about a vertical centerline, so translation left or right can also be accomplished by reflection about a suitable vertical line.

_____

If you have trouble visualizing this, it can help to cut the letter from a piece of paper and manipulate it to model rotation, reflection, or translation.

the figure shows the dimensions of a room in which receptions are held. The room is being carpeted. The three semi-circular parts of the room are congruent. How much carpet is needed? use 3.14 for pie

Answers

Answer:

258.39 m^2

Step-by-step explanation:

Solve for the rectangle:

18 • 12= 216

Now solve for the 3 semi circles:

A = 3.14(3)^2= 28.26/2 = 14.13 •3 = 42.39

Add up the areas:

216 + 42.39 = 258.39

Which is the algebraic sentence for "a number decreased by 6 is 12"?

x - 6 = 12

x + 6 = 12

6x = 12

x6 = 12

Answers

Answer:

x - 6 = 12 is the answer

im 100% sure

Answer:

x-6=12

Step-by-step explanation:

X=12+6

X=18

substitute for X in the equation

18-6=12

10 Two cyclists are traveling along a track in the same direction. Their motions are described
by the linear equations d = 10t and d-8t= 2, where t hours is the time and d miles is the
distance from a point on the track.

b When will the cyclists meet?

Answers

Answer:

They will meet in 1 hour

Step-by-step explanation:

(1)  d = 10t

(2)  d - 8t = 2   rearrange this equation to:  d = 8t + 2

Set equation (1) equal to equation (2):

10t = 8t + 2

Solve for t:

10t - 8t = 2

2t = 2

t = 2/2 = 1 hr

What are 2 examples of a solution?

Answers

The two examples of the solution are sugar water, and soda water.

The term solution is defined as a homogeneous mixture of two or more components in which the particle size is smaller than 1 nm.

Here according to the definition of solution, here we know that Common examples of solutions are sugar in water and salt in water solutions, soda water, etc.

As we all know that the solutions have two components, one is solvent and the other is solute.

Here the components, that is the component that dissolves the other component is called the solvent where as the component(s) that is/are dissolved in the solvent is/are called solute(s).

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Is Y 0 a horizontal line?

Answers

As per the following graph, if y = 0,then it makes the horizontal line on graph.

The term graph in math is defined as the visual representation of data or equation.

Here we have given that the value of y = 0.

Here we know that the slope of a horizontal line is zero while the slope of a vertical line is undefined.

Here the following Slopes represent a line's ratio of vertical change to horizontal change.

Whereas horizontal and vertical lines remain constant and never increase or decrease, they're merely straight lines.

Here we have also know that the Horizontal lines have no steepness at all.

Therefore if y=0 is the linear equation to denote the x - axis, then all the points on the x- axis, have their y co-ordinate as 0.

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25 POINTS AND BRAINIEST BADGE
NO LINKS
NO PICTURE FOR QUESTION

A parallelogram has vertices at (-5, -1), (-2, -1), (-3, -4), and (-6, -4). What is the approximate perimeter of the parallelogram? Round your answers to the nearest hundredth.
A. 9.16
B. 12 units
C. 12.32 units
D. 14

Answers

Answer:

12.32 units

Step-by-step explanation:

Use the distance formula to find the lengths between two points:

[tex]d=\sqrt{(x_{2} -x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

the distance between (-2, -1) and (-5,-1) is

[tex]\sqrt{(-2-(-5))^2+(-1-(-1))^2}[/tex]

=[tex]\sqrt{3^2+0^2}[/tex]

=[tex]\sqrt{9}[/tex]

=3

the distance between (-2, -1) and (-3, -4) is

[tex]\sqrt{(-2-(-3))^2+(-1-(-4))^2}[/tex]

=[tex]\sqrt{1^2+3^2}[/tex]

=[tex]\sqrt{10}[/tex]

≈3.16

the distance between (-6, -4) and (-3, -4) is

[tex]\sqrt{(-6-(-3))^2+(-4-(-4))^2}[/tex]

=[tex]\sqrt{(-3)^2+0^2}[/tex]

=[tex]\sqrt{9}[/tex]

=3

the distance between (-6, -4) and (-5, -1) is

[tex]\sqrt{(-6-(-5))^2+(-4-(-1)^2}[/tex]

=[tex]\sqrt{(-1)^2+3^2}[/tex]

=[tex]\sqrt{10}[/tex]

≈3.16

Now, add all the sides:

3+3.16+3+3.16=12.32 units

Note: A property of a parallelogram is that it has two pairs of congruent sides, so for this problem, you could solve for 2 different sides, double them, then add and you will get the same thing.

It is A because it can’t be B and it can’t be C and it can’t be D so my answer is A

quadratic expression x² +6x +5​

Answers

Answer:

if its for factor, we have (x+1)(x+5), if its for formula, its x=-1, -5

Step-by-step explanation:

(X+1) (x+5) x= -1 , -5

Please answer the 4th and 6th one

Answers

Answer:

5

Step-by-step explanation:

0-6x will be -6x if we divide that six then we will get -30/-6 since minus gets cancelled we will be left with 5

Simplify: [tex]\frac{-28cd^3}{-21bd^2}[/tex]

Answers

The answer is 4cd/3b

hope it's correct

9y -2x=1 solve for Y

Answers

You add 2x to the other side right, then it’s gone be 9y=1+2x, then you divide by nine so it will be y=1+2x/9

Answer:
y = 1/9 + 2/9x

Step-by-step explanation:

9y - 2x = 1

9y = 1 + 2x             (get rid of x)

y = 1/9 + 2/9x        (divide 9 on both sides)

What is the diameter of a circle with circumference 17.1cm? Give your answer to three significant figures.

Answers

Answer:

34.2

Step-by-step explanation:

HELP ASAP!!! PICTURE TO LOOK OFF OF

Approximate the correlation of the data shown below

Answers

It think the answer is A because it can’t be B and it can’t be C and it can’t be D so my answer is A

What is the inverse of 7 5?

Answers

The multiplicative inverse of 7/5 is 5/7 using the formula of multiplicative inverse like (x)^-1 which equals to 1/x.

let's try to learn what is multiplicative inverse.

1/N or [tex]N^-1[/tex] is used to denote a number's multiplicative inverse, such as the number N. From the Latin word "reciprocus," it is also known as reciprocal. Inverse refers to something that is the opposite. The acquired reciprocal of a number is such that its value equals identity 1 when multiplied by the original number. In other terms, it is a technique for producing identity 1 by diluting a number by itself, as in N/N = 1.

One is obtained when a number is multiplied by its own multiplicative inverse.

When a number is multiplied by its original number, the multiplicative inverse of that number, or x^-1, produces a value equal to 1. The multiplicative inverse of 2, for instance, is 2^-1 since it fulfils the formula: 2 x (2^-1) = 2 x (1/2) = 1.It is also known as a number's reciprocal.

Multiplicative inverse of 7/5 is (7/5)^-1 = 1/(7/5) = 5/7.

Given question is incomplete complete question here:

What is the multiplicative inverse of 7/5?

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2. A square playground has a side which measures 40 metres. What is its area?​

Answers

The area of a square playground which has a side measures 40metres would be 100[tex]m^2[/tex].

How to calculate area?

step1

Perimeter of square = 40m

We have given that perimeter of square is 40m. To find its area, we have to calculate its side first.

Perimeter of square = 4× side

Substituting values in formula

Area of square = 4 × side

=> 40 = 4 × side

=> side = 40÷4

=> side = 10m

Side of square is 10m.

step 2

Calculating area of square :

We found that side of square is 10m. To find it area, required formula is:

Area of square = (side)²

To find area, substitute values in formula :-

Substituting values in formula :-

Area of square = (side)²

=> Area of square = (10)²

=> Area of square = 10 × 10

=> Area of square = 100m

so if the perimeter of square is 40m then the area is 100m.

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What is the length of PQ

Answers

Check the picture below.

[tex]\sin(30^o)=\cfrac{\stackrel{opposite}{PQ}}{\underset{hypotenuse}{4}}\implies 4\sin(30^o)=PQ\implies 4\left( \cfrac{1}{2} \right)=PQ\implies 2=PQ[/tex]

I NEED HELP I will give brainliest.

Answers

Answer: C

x = Grace's collection

3x = Maci's collection

4 = Kendra's collection

52 = Total collection

Because the total is 52, the equation would be x + 3x + 4 = 52. Add the like terms to get 4x+4=52. Subtract 4 on both sides to get 4x=48. Divide 4 on both sides to get x = 12. Because Maci's collection is 3x, she should have 36 earrings.

C I know for sure!!!!!!!!

Plsssss help me in the photo

Answers

0.01 is not the way of expressing the relationship because it does not represent the correct ratio between 10 square and 100 square

What is ratio ?

A ratio tells the relationship between two or more quantities by comparing their relative sizes.It is typically written as two or more numbers separated by a colon (:), such as 2:4, or expressed as a fraction, such as 2/4. The numbers in a ratio represent the relative amounts of the quantities being compared. A ratio can be used to compare any type of quantity, such as length, weight, or time.

A) 10 square is 1/10th of the area of 100 square. It can be represented as a fraction, where the numerator is the area of the smaller square (10) and the denominator is the area of the larger square (100). The fraction would be 1/10.

B) Another way of expressing the relationship is as a percentage, where the smaller area (10) is divided by the larger area (100), and the result is multiplied by 100 to get the percentage. So 10 square is 10% of 100 square.

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Please help!!! in need of help, will mark brainliest!

Answers

Answer:

minimum value : -1

Step-by-step explanation:

y= 2x^2- |0x+1|

y=2x^2-1

0x has no value they're just putting that in there to trip you up. Also you can view the graph on Desmos graphing calc online to see the minimum value of this function.

x is positive so parabola opens up: meaning minimum value

y-intercept is (0, - 1) so minimum value = -1

Other Questions
Read chapter 1, The Prison-Door, from The Scarlet Letter by Nathaniel Hawthorne and answer the question that follows.A throng of bearded men, in sad-colored garments and gray, steeple-crowned hats, intermixed with women, some wearing hoods, and others bareheaded, was assembled in front of a wooden edifice, the door of which was heavily timbered with oak, and studded with iron spikes.The founders of a new colony, whatever Utopia of human virtue and happiness they might originally project, have invariably recognized it among their earliest practical necessities to allot a portion of the virgin soil as a cemetery, and another portion as the site of a prison. In accordance with this rule, it may safely be assumed that the forefathers of Boston had built the first prison-house, somewhere in the vicinity of Cornhill, almost as seasonably as they marked out the first burial-ground, on Isaac Johnsons lot, and round about his grave, which subsequently became the nucleus of all the congregated sepulchres in the old church-yard of Kings Chapel. Certain it is, that, some fifteen or twenty years after the settlement of the town, the wooden jail was already marked with weather-stains and other indications of age, which gave a yet darker aspect to its beetle-browed and gloomy front. The rust on the ponderous iron-work of its oaken door looked more antique than anything else in the New World. Like all that pertains to crime, it seemed never to have known a youthful era. Before this ugly edifice, and between it and the wheel-track of the street, was a grass-plot, much overgrown with burdock, pig-weed, apple-peru, and such unsightly vegetation, which evidently found something congenial in the soil that had so early borne the black flower of civilized society, a prison. But, on one side of the portal, and rooted almost at the threshold, was a wild rose-bush, covered, in this month of June, with its delicate gems, which might be imagined to offer their fragrance and fragile beauty to the prisoner as he went in, and to the condemned criminal as he came forth to his doom, in token that the deep heart of Nature could pity and be kind to him.This rose-bush, by a strange chance, has been kept alive in history; but whether it had merely survived out of the stern old wilderness, so long after the fall of the gigantic pines and oaks that originally overshadowed it,or whether, as there is fair authority for believing, it had sprung up under the footsteps of the sainted Ann Hutchinson, as she entered the prison-door,we shall not take upon us to determine. Finding it so directly on the threshold of our narrative, which is now about to issue from that inauspicious portal, we could hardly do otherwise than pluck one of its flowers, and present it to the reader. It may serve, let us hope, to symbolize some sweet moral blossom, that may be found along the track, or relieve the darkening close of a tale of human frailty and sorrow.The opening description of men in sad-colored garments and steeple-crowned hats and bareheaded or hooded women implies what about the the characters?A.They are indeginous to this region.B.They are a blithe and mirthful congregation.C.Men and women are kept seperate.D.They are a religious, matriarichal society.E.They are a conservative and pious community. 4. In some states, repair shops can accept used oil from do-it-yourselfers or ____________. A) HomeownersB) Other shopsC) ManufacturersD) Restaurants Glenn bought a $7 coffee and 10 granola bars at the airport. If he spent a total of $24, how much did each granola bar cost? Ideal conditions for potato juice and hydrogen peroxide( your thoughts?) 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Why or why not? What is your favorite game? And do you think that video games can help students? Please write at least 7 sentences.