For each of the following functions find f(- x) and - f * (x) , then determine whether it is even, odd or neither. Justify your answer. F(x)= x^3-7/x

Answer:

Its y=1/2x +2(the second one)

Step-by-step explanation:

Answer: its the second one  y= 1/2x + 2

Step-by-step explanation:

Therefore, the average value of f(x) on the closed interval [2, 6] is:-1.848

To find the average value of f(x) on the interval [2, 6], you need to use the formula for the average value of a function. That formula is given as:

average value of f(x) = (1/(b-a)) * ∫[a,b] f(x)dx

Here, a = 2 and b = 6. So, we have:

average value of f(x) = (1/(6-2)) * ∫[2,6] f(x)dx

Now, f(x) = (x² + x)cos(5x).

Therefore,∫[2,6] f(x)dx = ∫[2,6] (x² + x)cos(5x) dx

This integral can be evaluated using integration by parts.

Let u = (x² + x) and dv = cos(5x)dx.

Then, du/dx = 2x + 1 and v = (1/5)sin(5x).

Using the integration by parts formula, we have:

∫(x² + x)cos(5x)dx = uv - ∫vdu= (x² + x)(1/5)sin(5x) - ∫[(1/5)sin(5x)][(2x + 1)dx]= (x² + x)(1/5)sin(5x) - (2/25)cos(5x) - (2/25)xsin(5x) + C

Putting the limits of integration, we get:

∫[2,6] f(x)dx = [(6² + 6)(1/5)sin(5(6)) - (2/25)cos(5(6)) - (2/25)6sin(5(6))] - [(2² + 2)(1/5)sin(5(2)) - (2/25)cos(5(2)) - (2/25)2sin(5(2))]≈ -1.848

Therefore, the average value of f(x) on the closed interval [2, 6] is:-1.848

To know more about function   visit:

https://brainly.com/question/30721594

#SPJ11

Answer:

AAS

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

1. (A) we know angle A is congruent to angle E

2. (A) angle B is congruent to D

3. (S) line BC is congruent to line DC

Answer: 2880

Step-by-step explanation:

Answer: −7 = −7

Step-by-step explanation:

Answer:

Commutative Property of Addition

Step-by-step explanation:

Commutative Property of Addition states that A + B = B + A

Answer:

x - 2

Step-by-step explanation:

3x² - 5x - 2

Factor the trinomial.

(3x + 1)(x - 2)

Answer: x - 2

Yes, the function y/(x²+2) is continuous at all points in the given region, which is the disk x²+y²<=1.

To show this, we need to show that the function is defined and continuous at every point (x, y) in the disk. The denominator x²+2 is always positive, so the function is defined for all (x, y) in the disk. To show that the function is continuous at each point, we can use the fact that the sum, difference, product, and quotient of continuous functions is also continuous, and that the projection functions x and y are continuous. Therefore, the function y/(x²+2) is continuous on the disk x²+y²<=1,

Learn more about calculus here: brainly.com/question/6581270

#SPJ4

Answer:

Step-by-step explanation:

Answer:

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = - 120\)

Step-by-step explanation:

By the rule of Integer multiplications,

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = [ (-1) \times (-2) ] \times [(-3) \times (-4)] \times (-5)\)

                                                      \(= [2] \times [12] \times (-5)\)

                                                      \(= -120\)

Learn more about Integer here,

brainly.in/question/54087058

The mean of the random variable x, which represents the number of rotten apples chosen, is 1.2, and the standard deviation is approximately 0.979.

What is standard deviation?

Standard deviation is a statistical measure that quantifies the dispersion or variability of a dataset. It indicates how much individual data points differ from the mean value. A larger standard deviation suggests greater diversity, while a smaller value indicates less variability within the dataset.

To calculate the mean, we multiply the probability of selecting a rotten apple (4/10) by the total number of apples chosen (3). Mean = (4/10) * 3 = 1.2.

To calculate the standard deviation, we need to find the variance first. The variance is the sum of the probabilities of each possible outcome multiplied by the square of the difference between that outcome and the mean.

The possible outcomes are 0, 1, 2, or 3 rotten apples chosen. The probabilities for each outcome are:

P(x=0) = (6/10) * (5/9) * (4/8) = 0.3333

P(x=1) = (4/10) * (6/9) * (5/8) = 0.3333

P(x=2) = (4/10) * (3/9) * (6/8) = 0.2000

P(x=3) = (4/10) * (3/9) * (2/8) = 0.0667

Now, we calculate the variance:

Variance = (0² * 0.3333) + (1² * 0.3333) + (2² * 0.2000) + (3² * 0.0667) - mean²

= (0 * 0.3333) + (1 * 0.3333) + (4 * 0.2000) + (9 * 0.0667) - 1.2^2

= 0.6666 + 0.3333 + 0.8000 + 0.6003 - 1.44

= 1.4 - 1.44

= -0.04

Finally, the standard deviation is the square root of the variance:

Standard deviation = sqrt(-0.04) = approximately 0.979

To know more about standard deviation, refer here:
https://brainly.com/question/29808998
#SPJ4

Answer: 6.5 is the answer.

Step-by-step explanation:

The estimated simple linear regression equation comes down when the sum of the squared deviations for each y value from the line.

The above statement is false.

Simple linear regression is a linear regression model with a single variable. That is, it takes two-dimensional sample points with one independent variable and one dependent variable, and finds a linear function (a non-vertical straight line) that predicts the value of the dependent variable as the independent variable as accurately as possible.

Simple linear regression is used for estimating the relationship between two quantitative variables. The Simple linear regression is used for:

(1) How strong is the relationship between two variables (such as the relationship between rainfall and soil erosion).

(2) The value of the dependent variable is relative to a value of the independent variable (For example, the amount of soil erosion under a certain amount of precipitation).

Regression models describe the relationship between variables by fitting a line to observed data. Linear regression models use straight lines, while logistic and nonlinear regression models use curved lines. Regression allows you to estimate how the dependent variable changes when the independent variable changes.

Learn more about Simple Linear Regression :

https://brainly.com/question/29665935

#SPJ4

The probability that student chosen at random is 16 years is 0.28.

The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is  16 years can be found as follows:

Therefore,

probability = number of favourable outcome to age / total number of possible outcome

Hence,

probability that student chosen at random is 16 years =  420 / 150

probability that student chosen at random is 16 years = 0.28

learn more on probability here: https://brainly.com/question/23776861

#SPJ1

Answer:

44.10 = 2.1x

x = 21 miles

Step-by-step explanation:

Cost per mile = $2.1

Driver tip = $5

Total amount paid = $49.10

Let

x = number of miles

​Write an equation to determine the distance in miles \left(x\right)(x) between the airport and Anna's home.

Total cost of miles = Total amount paid - Driver tip

= $49.10 - $5

= $44.10

Equation to determine distance in miles

Total cost of miles = cost per mile * number of miles

44.10 = 2.1x

Find the distance between the airport and Anna's home

44.10 = 2.1x

Divide both sides by 2.1

44.10 / 2.1 = 2.1x / 2.1

21 = x

x = 21 miles

Answer:

C - The failure was a starting point for a buildup of aggression around the world.

Step-by-step explanation:

EDGE2021 :-)

Have a nice day! ;)

We can actually deduce here that the League of Nations' failure to end the Abyssinian Crisis actually helped to lead to World War II in the following way: C. The failure was a starting point for a buildup of aggression around the world.

The Abyssinia Crisis is actually known to be a crisis that took place in 1935 which took place during the period of the conflict between the Kingdom of Italy and the Empire of Ethiopia. It happened that Italy was actually ruled against by the League of Nations. They were voted for economic sanctions.

We can actually deduce here that the League of Nations' failure to end the Abyssinia Crisis led to World War II when there was a buildup of aggression around the world.

Learn more about Abyssinian Crisis on https://brainly.com/question/473534

#SPJ9

The probability that salary is less than $45,951 is 1.96%. This suggests that small proportion of registered nurses earn salaries below $45,951.

To get probability, we will standardize the value of $45,951 using the z-score formula and then look up the corresponding probability from the standard normal distribution table.

The z-score formula is given by: z = (x - μ) / σ

Substituting values

z = (45,951 - 56,310) / 5,038

z = -10,359 / 5,038

z ≈ -2.058

Finding the probability for a z-score of -2.058; the probability is approximately 0.0196.

Therefore, P(x < 45,951) = 0.0196 which means there is approximately a 1.96% chance that a randomly selected registered nurse will have a salary less than $45,951.

Read more about probability

brainly.com/question/24756209

#SPJ4

For the given triangle MNO, as per the given measurements the smallest angle among all the three angles is ∠M.

As given in the question,

In the given triangle MNO,

Measure of the sides of the triangle are as follow:

MN = 18 yd

NO = 17 yd

MO = 19 yd

Arrange them in ascending order we have,

17 < 18 < 19

NO < MN < MO

From the given measurement of the sides of the triangle , smallest side is NO.

Angle opposite to side MN = ∠O

Angle opposite to side NO = ∠M

Angle opposite to side MO = ∠N

Angle opposite to the smallest side is the smallest angle.

∠M is the smallest angle.

Therefore, for the given triangle MNO, as per the given measurements the smallest angle among all the three angles is ∠M.

Learn more about smallest angle here

brainly.com/question/26879692

#SPJ1

The quadrilateral WXYZ is not a square using the distance formula

From the question, we have the following parameters that can be used in our computation:

W(-1,1),X(3,4),Y(6,0) and Z(2,3)

The lengths of the sides can be calculated using the following distance formula

Length = √[Change in x² + Change in y²]

Using the above as a guide, we have the following:

WX = √[(-1 - 3)² + (1 - 4)²] = 5

XY = √[(3 - 6)² + (4 - 0)²] = 5

YZ = √[(6 - 2)² + (0 - 3)²] = 5

ZW = √[(2 + 1)² + (3 - 1)²] = 13

The sides that are congruent are WX, XY and YZ

This means that WXYZ is not a square

Read more about distance at

brainly.com/question/28551043

#SPJ1

Answer:

\(\displaystyle d \approx 24.3\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point (-5, -8)

Point (-1, 16)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

The decay rate for the resale price of laser cutting tool will be -121000\(e^{-0.22t}\)

Let R is the resale value of a particular type of laser cutting tool after years

Where, R(t) = 550000\(e^{-0.22t}\)

Rate at which the resale value is changing will be dR/dt = 550000\(e^{-0.22t}\)(-0.22)= -121000\(e^{-0.22t}\)

Initial value of the laser cutting tool, at time ‘t’ =0 will be 550000\(e^{-0.22t}\)x0 = 550000

At time ‘t’ resale value is 550000 \(e^{-0.22t}\)

Therefore, the decay in resale price = 550000 - 550000 \(e^{-0.22t}\)

Therefore, the decay rate = (550000 - 550000 \(e^{-0.22t}\))/t = 550000(1-\(e^{-0.22t}\))/t

As we have dR/dt = R’ = -121000\(e^{-0.22t}\)

Therefore, R’(10) = -121000\(e^{-2.2}\) = -13407.18

Therefore, after 10 years the resale price will be -13407.18

R’(20) = -121000\(e^{-4.4}\)= -1485.55

Therefore, after 20 years the resale price will be -1485.55

To know more about the decay rate, visit here:

https://brainly.com/question/28461852

#SPJ4

According to Pythagorean theorem, the length of BE is 2√(61) units.

To solve this problem, we need to use the Pythagorean Theorem, which tells us that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, we can see that triangle ABE is a right triangle, with AB as the hypotenuse and BE and AE as the other two sides. Therefore, we can use the Pythagorean Theorem to find the length of BE.

To do this, we first need to find the length of AE. Since triangle ADE is a right triangle with a hypotenuse of length 4 and one leg of length 2, we can use the Pythagorean Theorem to find the length of the other leg, which is AE. Specifically, we have:

AE² + 2² = 4² AE² + 4 = 16 AE² = 12 AE = √(12) = 2√(3)

Now we can use the Pythagorean Theorem again to find the length of BE. Specifically, we have:

BE² + (2√(3))² = AB² BE² + 12 = (2AB)²

[since AB = AC = CD = DE = 4]

BE² + 12 = 16² BE² + 12 = 256 BE² = 244 BE = √(244) = 2√(61)

To know more about Pythagorean theorem here

https://brainly.com/question/343682

#SPJ1

Answer:

56.52km

Step-by-step explanation:

Circumference = π X D (D = diameter = 2 X radius)

= (3.14) X 18

= 56.52 km

The probability of not choosing any women to be on the committee is 1/15. There is only 1 way to choose 2 men out of 2.

The probability of not choosing any women to be on the committee can be calculated by dividing the number of ways to choose 2 men out of 2 from the total number of ways to choose 2 members out of 6.
To calculate the number of ways to choose 2 men out of 2, we use the combination formula, which is given by:
nCr = n! / (r!(n-r)!)

In this case, n represents the total number of men (2) and r represents the number of men to be chosen (2).
So, using the combination formula, we have:
2C2 = 2! / (2!(2-2)!) = 2! / (2! * 0!) = 2! / (2! * 1) = 2 / 2 = 1

Therefore, there is only 1 way to choose 2 men out of 2.
To calculate the total number of ways to choose 2 members out of 6, we use the same combination formula:
6C2 = 6! / (2!(6-2)!) = 6! / (2! * 4!) = (6 * 5 * 4!) / (2! * 4!) = (6 * 5) / 2 = 15
Therefore, there are 15 ways to choose 2 members out of 6.
Now, to calculate the probability of not choosing any women, we divide the number of ways to choose 2 men by the total number of ways to choose 2 members: P(no women) = 1 / 15

To know more about probability visit:

brainly.com/question/14622236

#SPJ11

Answer:

c.6

Step-by-step explanation:

I would estimate 6.12 to 6 and 38.064 because I know 36 is a common denominator of 6. 36/6=6

Hope this helps.

At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

The speed of an object is the ratio of distance and time it takes for the object to travel that distance.

Mathematically,

S = D/T

where

S is velocity

D is the distance traveled or distance traveled

T is the time it takes to travel that distance

Velocity is considered a scalar quantity. A scalar size only has a size. It does not provide information about the direction of object movement.

If an object moves at a constant speed, it means that the object moves the same distance in the same time interval.

Acceleration of an object is the ratio of velocity and time. vector size. Vector quantities have both magnitude and direction.

Mathematics,

a = v/t

When an object is in motion, its acceleration is never zero.

When an object moves, it moves a constant distance over time. Therefore, body positions cannot be the same from the same coordinate system.

Given in the question:

First the plane was travelling at a constant rate of 250  miles per hour.

Initial height was 20000 feet

Now,

As the speed increases and travels at a constant rate of 400 miles per hour.

Now,

   (400 /250 ) × 20000

=  1.6 × 20000

= 32000 feet

Thus, At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

Learn more about  Constant Rate:

https://brainly.com/question/13659182

#SPJ4