Calculus Help Show that one function is not an antiderivative of another

Calculus Help Show That One Function Is Not An Antiderivative Of Another

Answers

Answer 1

Just differentiate G and H :

• dG/dx = d(x ² )/dx = 2x + x ²

so G is not an antiderivative of f.

• dH/dx = d(2x - 2 ) = (2 + 2x ) - 2 = 2x = f(x)

so H is indeed an antiderivative of f.


Related Questions

someone help pls thank u

Answers

A bc it is pie fjskdnsowiksnxbx
Option a is irrational

Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions
that a randomly chosen student answered correctly. Here is the probability distribution of X along with
summary statistics:
0
1
2
2.
3
X = # correct
P(X)
0.05
0.20
0.50
0.25
Mean: Hex = 1.95
Standard deviation: Ox 0.8
Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give
every student 5 additional bonus points. Let Y represent a random student's score.
What are the mean and standard deviation of Y?
Hy =
points
Oy
points

Answers

Answer:

24.5 points

8 points

Step-by-step explanation:

khan academy

The mean is 1.95 and the standard deviation is 2.41 for the given distribution.

What is the standard deviation?

A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.

The given data as :

Correct question (x)  Probability                

        0                           0.05  

        1                            0.20

        2                           0.50

        3                           0.25  

In this scenario, we must calculate the mean, which is the product of the correct question and the probability. The mean will then be subtracted from the correct question. multiply the difference between the correct question and the mean by probability. This indicates the pay variance. off's The standard deviation of the distribution is given by taking the square root of the variance of the correct question.

Mean = 0 × 0.05  + 1 × 0.20 + 2 × 0.50 + 3 × 0.25

Mean  = 1.95

Variance = (0 - 1.95)² + (1 - 1.95)² + (2 - 1.95)² + (3 - 1.95)²

Variance = 3.8025 + 0.9025 + 0.0025 + 1.1025

Variance = 5.81

Standard deviation = √(Variance)

Standard deviation = √(5.81)

Standard deviation = 2.41

Thus, the mean is 1.95 and the standard deviation is 2.41 for the given distribution.

Learn more about the standard deviation here:

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If you would help it would be life-saving

Answers

Answer:

waiting for the wishing well, put they hands put they hands to the wishing well still no ns but oh well they pain and they wishes in the wishing well.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = [tex]\frac{3}{2}x[/tex]

2) [tex]y=\frac{3}{2}*64\\[/tex]

y = 3 * 32 = 96

[tex]3) x = \frac{2}{3}y\\\\x =\frac{2}{3}*39=2*13=26[/tex]

[tex]4)y=\frac{3}{2}x\\\\y=\frac{3}{2}*1=\frac{3}{2}[/tex]

what is 30% as a fraction in simplest form and as a decimal to the nearest hundredtgh

Answers

Answer:

fraction-3/10

decimal-.3

Answer:

Step-by-step explanation:

There are a few ways you could look at this, but this is the way that I prefer:

A percent is essentially already a fraction out of 100. 100% = 1. Therefore, 30% = [tex]\frac{30}{100}[/tex].

To simplify this, divide the top and the bottom by 10. This equals [tex]\frac{3}{10}[/tex]. Because 3 is a prime number and 10 is not divisible by 3, this is completely simplified.

To find the percent of any fraction, the easiest way is to simply divide the top by the bottom.

3/10 = 0.3

This is your final answer, as there is no number in the hundredth place or beyond to concern yourself with.

Which points are solutions to the system of inequalities? Select ALL that apply.

(-2, 4)
(2, -1)
(3, 1)
(0, 0)
(0, -1)

Answers

Answer:

0,0

2,-1

-2,4

Step-by-step explanation:

URGENT PLEASE HELP GIVE RIGHT ANSWER.

Answers

Answer:

its negative 8

Step-by-step explanation:

you can see it there

Which is the equation for the line that passes through (5,-3) and has a slope of 6?

Answers

v=4/3[~]R^3 need 20 letters

So ummm. I kind of got this wrong, and I had to delete my answer, I swear, I am SOOOO sorry. If there is a way I can give your points back I will do so.

So um yeah, just ignore this.

What is the value of 5k+m when k=-3 and m= -9

Answers

I think the answer is -6 Because 5 times-3 is negative 15 plus -9 that’s 6

Answer: -24

Step-by-step explanation:

Substitute k and m with -3 and -9 then solve.

Which expression will have the same as 3(4x+9)-6 x for all values of x
A. X+12
B.x+27
C.6x+12
D.6x+27

Answers

Answer:

i believe the answer is D

what is the slope for (-11,7),(15,-3)​

Answers

-5/13

Formula: Y2-Y1/X2-X1

Answer:

     m=-5/13

Explanation

Guys.. I’m going to get held back, I. Need. Help.

Answers

-12 and -6
Good night!!

Answer:

1).  -12

2).  -6

Hope this helps<3

HELP FAST WILL MARK BRAINLYIST

Answers

Answer:

7

Step-by-step explanation:

took teh test

Determine which relation is a function.

Answers

How To: Given a relationship between two quantities, determine whether the relationship is a function. Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function.

PLZ help: The theoretical probability that a pop song plays on your MP3 player is 0.45. There are 80 songs on your MP3 player. How many of the songs are pop songs?

Answers

Answer:

36

Step-by-step explanation:

80 * .45 = 36

Answer:There are 36 pop songs on your playlist

Step-by-step explanation:

You will drop the bottle/water mass so that it hits the lever at different speeds. Since an object in free fall is accelerated by gravity, you need to determine the heights necessary to drop the bottle to achieve the speeds of 2 m/s, 3 m/s, 4 m/s, 5 m/s, and 6 m/s. Use the equation Ht = v squared over 2 g. to calculate the height, where Ht is the height, v is the speed (velocity), and g is the gravitational acceleration of 9.8 m/s2. Record these heights in Table B. To achieve a speed of 2 m/s, the bottle must be dropped at m. To achieve a speed of 3 m/s, the bottle must be dropped at m. To achieve a speed of 4 m/s, the bottle must be dropped at m. To achieve a speed of 5 m/s, the bottle must be dropped at m. To achieve a speed of 6 m/s, the bottle must be dropped at m

Answers

Answer:2,3,4,5,6

Step-by-step explanation:

Answer:

0.20

0.46

0.82

1.28

1.84

Step-by-step explanation:

What is the surface area of this shape?
1 cm
5 cm
4 cm
2 cm
6 cm
3 cm

Answers

Answer: 6 cm

Step-by-step explanation:

The surface area of the given shape is 80 cm².

From the given figure, the dimensions of large cuboid is length= 5 cm, width= 3 cm and height= 2 cm.

What is surface area of a cuboid?

The surface area of a cuboid is the total space occupied by it. A cuboid is a six-faced three-dimensional shape in which each face is in the shape of a rectangle.

Formula to find the total surface area of a cuboid is 2(lw+wh+lh)

Surface area of a large cuboid

= 2(5×3+3×2+5×2)

= 2(15+6+10)

= 2×31

= 62 cm²

The dimensions of smaller cuboid is length= 1 cm, width= 1 cm and height= 4 cm

Surface area of a smaller cuboid

= 2(1×1+1×4+1×4)

= 2(1+4+4)

= 2×9

= 18 cm²

Total surface area = 62+18

= 80 cm²

Therefore, the surface area of the given shape is 80 cm².

Learn more about the surface area of a cuboid here:

https://brainly.com/question/26403859.

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What is the diameter of this circle? A) 2 cm B) 3.14 cm C) 4 cm D) 8 cm

Answers

Answer:

The answer is c

Step-by-step explanation:

Well, since the Circle is 8cm you can divide the circle by two to get 4

Simplify the ratio 4:26

Answers

Answer:

The simplest form of 426 is 213.

Answer:

2:13

Step-by-step explanation:

To simplify the ratio 4:26, we find the greatest common divisor of 4 and 26, and then we divide 4 and 26 by the greatest common divisor.

The greatest common divisor that you can use to simplify 4:26 is 2. Which means the answer to ratio 4:26 simplified is 2:13.

25 pts will award brainliest
Question 14 (5 points)
(05.02 LC)
What is the value of x in the solution to the following system of equations? (5 points)

x − 2y = 2
3x + y = 6

Answers

Answer:

x = 2 and y = 0

Step-by-step explanation:

x - 2y = 2

3x + y = 6

using the substitution method, we solve the first equation for 'x' to get

x = 2y + 2

plug that into 'x' in the second equation

3(2y + 2) + y = 6

6y + 6 + y = 6

7y = 0

y = 0

find 'x':

3x + 0 = 6

x = 6/3

x = 2

Answer:

x=2

Step-by-step explanation:

* HELP QUICK I WILL MARK BRANLIEST* If the circumference of a circle is 10x inches, what is the area, in square inches, of
the circle?
1) 10 sq. in
2) 254 sq. in.
3) 50. sq. in.
4) 100 sq. in.

Answers

Answer:

100 Sq in.

Step-by-step explanation:

Solve for X
1q - 2 x = 7
Help!

Answers

X=4
Hope this helps :)

A group of young adults reported their average number of hours of exercise per week and measured their resting heart rates. An approximate least-squares regression line was used to predict the resting heart rate from a given number of hours of exercise per week.

Answers

Answer: this young adults resting heart rate was 6 more beats per minute than predicted based on the number of hours of exercise

Step-by-step explanation: y’all welcome

To begin a bacteria study, a petri dish had 2300 bacteria cells. Each hour since, the number of cells has
increased by 7.2%.
Lett be the number of hours since the start of the study. Let y be the number of bacteria cells.
Write an exponential function showing the relationship between y and t.
PLEASE HELP :)

Answers

Answer: [tex]y= 2300(1.072)^t[/tex]

Step-by-step explanation:

The exponential growth equation : [tex]y=A(1+r)^t[/tex] , where A=initial value, r= rate of growth , t= time.

Given: A = 2300,  r= 7.2% = 0.072  

Let t be the number of hours since the start of the study. Let y be the number of bacteria cells.

then, the exponential function showing the relationship between y and t will be:

[tex]y= 2300(1+0.072)^t\\\\\Rightarrow\ y= 2300(1.072)^t[/tex]

Which expression is equivalent to √96

Answers

Answer:

√96 = 4√6

Step-by-step explanation:

Factor the radicand. Take the square root of the factors.

The expression that should be equivalent to [tex]\sqrt{96}[/tex] is considered to be the  [tex]= 4\sqrt 6[/tex]. The calculation is given below,

Calculation of an expression:

Since the expression is [tex]\sqrt{96}[/tex]

So, we can solve by breaking it

[tex]= \sqrt{2^5\times 3} \\\\= \sqrt{2^4 \times 2 \times 3} \\\\= \sqrt 2^4 \times \sqrt 6\\\\= 4\sqrt 6[/tex]

Hence, we can conclude that The expression that should be equivalent to [tex]\sqrt{96}[/tex] is considered to be the  [tex]= 4\sqrt 6[/tex].

Learn more about an expression here: https://brainly.com/question/1673286

please find the Equations PLEASE ​

Answers

Answer:

9) y = -x

10) y = -3/2x + 12

11) y = 3/4x - 5

12) y = -2/3x

Express the limit as a definite integral on the given interval. lim n→[infinity] n xi ln(1 + xi2) Δx, [2, 7] i = 1

Answers

Answer:

Step-by-step explanation:

[tex]Consider \ the \ following \ series[/tex]

[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} x_i \ In ( 1+ x_i^2) \Delta x , [2,7][/tex]

[tex]Let's \ recall \ the \ explanation \ of[/tex] d[tex]efinite[/tex] [tex]\ integral \ in \ terms \ of \ Riemann \ sum[/tex]

[tex]\int^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(x_i) \Delta x , \ where \ \Delta x = \dfrac{b-a}{n}[/tex]

[tex]By \ efinition, \ the \ limit \ is \ then \ expressed \ as \ integral[/tex]

[tex]\lim_{n \to \infty} \sum ^a_{i=1} \ x_i \ In (1+x_i^2) \Delta x = \int^7_2 xIn (1+x^2) \ dx[/tex]

HELP PLZ 20 POINTSSSS

Answers

Answer:

cube................

Answer:

A)

Step-by-step explanations:

Based on this triangle, which one of the following statements is true? (Note: the triangle is not drawn to scale)
[PLEASE LEAVE A SMALL EXPLANATION ILL MARK BRAINLIEST]

Answers

Answer:

A

Step-by-step explanation:

All triangles angles add up to 180°

Please help me ASP please

Answers

lxw  so 3/4 x 4/5 then get ur answer

6y + 12x + 4y - 9x - 3x
Combining like terms
I need some help!

Answers

Answer:

10y

Step-by-step explanation:

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