Evaluate the line integral, where c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

Answers

Answer 1

The value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

What is integration?

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

The parametric equations for the line segment from (0, 0, 0) to (2, 3, 4)

x(t) = (1-t)0 + t×2 = 2t  

y(t) = (1-t)0 + t×3 = 3t

z(t) = (1-t)0 + t×4 = 4t

Finding its derivative;

x'(t) = 2

y'(t) = 3

z'(t) = 4

The line integral is given by:

[tex]\rm \int\limits_C {xe^{yz}} \, ds = \int\limits^1_0 {2te^{12t^2}} \, \sqrt{2^2+3^2+4^2} dt[/tex]

 

[tex]\rm ds = \sqrt{2^2+3^2+4^2} dt[/tex]

After solving the integration over the limit 0 to 1, we will get;

[tex]\rm \int\limits_C {xe^{yz}} \, ds = \dfrac{\sqrt{29}}{12} (e^{12}-1)[/tex]   or

= 73037.99 ≈ 73038

Thus, the value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

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Related Questions

Enter the y coordinate of the solution to this system of equations.

6x + y = 8
x − 2y = 10

Answers

Answer

Please see attached photo below for detailed analysis

Explanation

hope this helps.please rate and mark brainliest!!!

Tripp decided to go on vacation to the beach. After driving 60% of the way, he decided to stop for lunch. If he stopped for lunch after 240 miles of driving, how many total miles will he have to drive?

Answers

Answer:

40=10% im rightthe total is 400

Step-by-step explanation:

What is the solution of the equation 6+q=25 1/2

Answers

Answer:

q = 19 1/2.

Step-by-step explanation:

Unknown value is q.

Solve for the unknown value:

6 + q = 25 1/2q = 25 1/2 - 625 1/2 - 6= 19 1/2.q = 19 1/2.Answer is q = 19 1/2.

Answer:

[tex]q=19\frac{1}{2}[/tex]

Step-by-step explanation:

Step 1:  Subtract 6 from both sides

[tex]6 + q = 25\frac{1}{2}[/tex]

[tex]6 -6 + q = 25\frac{1}{2}-6[/tex]

[tex]q = (25-6)\frac{1}{2}[/tex]

[tex]q=19\frac{1}{2}[/tex]

Answer:  [tex]q=19\frac{1}{2}[/tex]

Hope this helps!  Let me know if you have any questions

Your friend says that the quotient 3/8 divided by 1/8 is 1/3 what is the correct quotient? What mistake did you friend likely make?

Answers

Answer:

its 1/8

Step-by-step explanation:

he said 1/3 it does not match the other 2 numbers hope its right ;-; also helpfull

Pls help me if u can

Answers

This is a statistics problem involving Group Frequency Distribution Table. See the attached and the details below.

What is a Group Frequency Distribution Table?

By dividing observations into intervals and tabulating the frequencies for each interval, data can be organized.  A grouped frequency table is the end product.

The intervals in this distribution are referred to as classes.

What is the Estimated Mean of the Grouped Frequencies?

This is obtained by dividing the sum of the product of all mid points and their frequencies by the total number of observations.

That is Estimated Mean = (f * x)/n ------See the attached sheet.

⇒ 503/50

= 10.06

What is the Estimated Median of the Grouped Frequencies?

The median of the 50 observations = 28

This is arrived at by dividing the sum of 25th and the 26th number by 2.

That is (28 + 28)/28=28

This median falls in to the third class -  25-29. Hence, the median group is 25-29.

The estimated median value is computed as follows:

Estimated Median = L + (((n/2)-B)/G) x w

Where :

L is the lower class boundary of the group containing the mediann is the total number of valuesB is the cumulative frequency of the groups before the median groupG is the frequency of the median groupw is the group width

Inserting the values we have :

L = 25

n = 50

B = 0 + 1  = 1

G = 2

w = 5

Estimated Median = 25 + (((50/2)-1)/2 ) * 5

= 25 + (24/2) * 5

= 85

How do you calculate the Estimated Mode?

By observation, the modal group is 30-34. This is because it has the highest frequency of 4.

Hence, the Estimated Mode (EM) is arrived at using the formula:

EM = L + (fₙ-fₙ₋₁)/(fₙ-fₙ₋₁)  +  (fₙ-fₙ₊₁) x w

where:

L is the lower class boundary of the modal groupfn-1 is the frequency of the group before the modal groupfn is the frequency of the modal groupfn+1 is the frequency of the group after the modal groupw is the group width

Note that

L = 30

fn-1 = 2

fn = 4

fn+1 = 3

w = 5

Hence,

EM = 30 + (4-2)/((4-2) + (4-3)) x 5

= 30 + (2/(2+1)) x 5

= 30 + (2/3) x 5

EM =  33.33

In summary,

Estimated Mean: 10.06Estimated Median: 85Estimated Mode: 33.33

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HELP ME WITH THIS PLEASE HUURRYY

Answers

Answer:

the answer would be A, 78.52

Step-by-step explanation:

Please Help me answer all 4 questions with a full explanation so I can solve the rest on my own.

Answers

[tex]\\ \rm\Rrightarrow (2x^2)^3.2yx^0=8x^6.2y=16x^6y[/tex]

[tex]\\ \rm\Rrightarrow (2x^4y^3)^3.2x^4y^4=8x^{12}y^6.2x^4y^4=16x^{16}y^{10}[/tex]

[tex]\\ \rm\Rrightarrow (m^3n^0(2m^3n^2)^4)^2=(m^316m^{12}n^8)^2=(16m^{15}n^8)^2=256m^{30}n^{16}[/tex]

[tex]\\ \rm\Rrightarrow (2xy^3)^2.2x^2y^0=4x^2y^6.2x^2=8x^4y^6[/tex]

Eight less than four times a number is twelve. What is the number?

5

1
-3


-5

Answers

-5 plus five is 3. 3 times 4 is twelve. (-5) is the answer.
The last one. -5 is the answer

What is the domain of the function y= 1/x +4?
+?

Answers

Answer:

x i think its the awnser

Step-by-step explanation:

Set the denominator in 1x−4 1 x - 4 equal to 0 to find where the expression is undefined. Add 4 to both sides of the equation. The domain is all values of x that make the expression defined.

Please help!! 50 points!!
Use the exponential equation below to answer Part A, Part B, and Part C.
35^x = 8

Part A: Explain the steps to solve the equation.

Part B: Rewrite the exponential equation in logarithmic form using the definition of logarithms.

Part C: Use the equation from Part B to solve for x. Round to the nearest hundredth

Answers

Answer:

a) below

b) log_35 (8) = x

c) x = 0.58487

Step-by-step explanation:

a) 35^x=8

apply the exponent rule

xln(35) = ln(8) → x = ln(8)/ln(35) → x = 3ln(2)/ln(35)

x = 0.58487

c) log_35 (8) = x

x = log_35 (8)

base form (Rewrite 8 in power)

x = log_35 (2^3)

log rule: log_a(x^b) = b*log_a(x)

log_35 (2^3) = 3log_35(2)

x = 3log_35(2)

x = 0.58487

There are 4 consecutive even integers that sum to 68. What are the integers?

Answers

Hi there,

Let x be the first number.Then the next three even numbers are x+2, x+4, and x+6.The sum of these numbers is 68

So,

x + (x + 2) + (x + 4) + (x + 6) = 68

Simplify and solve for x.

4x + 12 = 684x = 68 - 12x = 56/4x = 14

In the context of this problem, the equation x=14 means that the first number is 14. The next three even numbers are 16, 18, and 20.

Checking we see that 14+16+18+20=68.

What are consecutive integers?Consecutive integers are integers that follow each other in order.

Which number sentence is true? OA -6.8 (-1.3)=8.84 OB 6.8 (-1.3)=8.84 OQ-68.1.3=8.84 OD 6.8 1.3=-8.84​

Answers

The true number sentence is the third option:

6.8*1.3 = 8.84

Which number sentence is true?

Here we have number sentences of the form:

A*B = C

This is true only when the value of the product A*B is equal to the value of C.

One key thing to identify the correct one is remembering the rule of signs:

(+)*(-) = (-)

(+)*(+) = (+)

(-)*(+) = (-)

(-)*(-) = (+).

The only option that meets that rule is:

6.8*1.3 = 8.84

Where the product of two positive numbers gives another positive number (and the equality is true) so we conclude that this number sentence is true.

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Three quarters the product of two numbers x and y

Answers

The Three quarters the product of two numbers x and y is 3/4 *x* y

What is algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

In elementary algebra, those symbols  represent quantities without fixed values, known as variables.

As, quarters represent 1/4

So, three quarters= 3/4

Let the two number be x and y.

Then , 3 quarters of x and y product be,

=3/4*x*y

= 0.75*x*y

Hence, the expression of given statement is 3/4*x*y.

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If you roll two fair six-sided dice, what is the probability that the sum is 9 or higher?
Pls answer!!!

Answers

Answer:

4/11

Step-by-step explanation:

The chance of getting the sum of any number(2 thought 12) is 1/11

so

9 = 1/11

10 = 1/11

11 = 1/11

12 = 1/11

so, 4/11


An ellipse centered at the origin has a vertical major axis of 12 units and an eccentricity of 0.5.
What is the equation of the ellipse?

Answers

The equation of the ellipse formed is x²/11.7² + y²/12² = 1

Equation of an ellipse

The formula for calculating the equation of an ellipse is expressed as;

x²/a² + y²/b² = 1

where

a and b are the minor an major axis respectively;

Given the following

b = 12

e = 0.5

Determine the value of a

e² = √b²-a²/b

0.5² = √12²-a²/12
12 * 0.25 = √144-a²

9 = 144 -  a²

a² = 136

a = 11.7

Substitute into the fomula

x²/11.7² + y²/12² = 1

Hence the equation of the ellipse formed is x²/11.7² + y²/12² = 1

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A local business has an area reserved behind the store for a parking lot that is 78 meters long by 19 meters wide. The stalls of the lot are at 90° angles to a required aisle that bisects the lot. The aisle is 8 meters by 78 meters. An area reserved for a parking lot is 78 meters long by 19 meters wide. 2 stalls and an aisle are in the reserved area. The aisle is 78 meters long and 8 meters wide. Use the layout of the parking lot to answer the questions. What is the total area available for cars to park? m2. If the parking spaces are compact, they have an area of 12.5 m2. How many compact parking spaces will fit in the lot? . If the parking spaces are not compact, they will be 3 meters by 5.5 meters. How many noncompact parking spaces will fit in the lot?

Answers

The total area available for cars to park is 858 square meters, the number of compact parking space is 68 and the number of non-compact parking space is 52

The total area available

The dimension of the parking lot is:

78 meters by 19 meters

The dimension of the aisle is:

8 meters by 78 meters

The total area available is the difference between the area of the parking lot and the area of the aisle.

So, we have:

Available Area = 78 * 19 - 8 * 78

Available Area = 858

Hence, the total area available for cars to park is 858 square meters

The number of parking space

The total area available for cars to park is 858 square meters, and the area of each parking spot is 12.5 square meters

So, the number of parking lot is:

n = 858/12.5

n = 68.64

Remove the decimal

n = 68

Hence, the number of parking space is 68

The number of parking space for non-compact parking space

The total area available for cars to park is 858 square meters, and the dimension of each parking spot is 5.5 meter by 3 meters

So, the number of parking lot is:

n = 858/(5.5 * 3)

n = 52

Hence, the number of parking space is 52

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Answer:

The above answer is correct!

To put it a bit more simply:

First box: C. 858

Second box: C. 68

Third box: B. 52

Step-by-step explanation:

Hope this helps!

Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system.
y < 6
y ≥ –3x – 1

A. (0, 6)
B. (6, 0)
C. (-6, 5)
D. (-6, -2)

Answers

Answer:

Your answer is B

Step-by-step explanation:

6.14 Checkpoint: Systems of Linear Inequalities

I took the test.

A scientist studies a sample that weighs 1 ounce, which is about 28 grams. About how many grams would be in a 48-ounce sample?​

Answers

Answer: 1344g

Step-by-step explanation:

if 1 ounce = 28 grams and we have 48 ounces,

multiply 48 by 28 to find the amount of grams

48×28 = 1344g

please help, thank u!

Answers

Answer:

False

Step-by-step explanation:

Angles 1 and 2 are not adjacent because they do not share any common line segments with each other.

Answer:

False

Step-by-step explanation:

The definition of adjacent angles is two angles that share a common side and a common vertex. Also, they don't overlap

So in this case ∠1 and ∠2 share the common vertex A but do not share the common side, so these angles are not adjacent.

In this diagram, an example of adjacent angles would be ∠1 and ∠3.

Here's a visual example to understand what I meant  

The table shows when the tickets for a concert are sold and the types of tickets that are sold. What is the probability that a randomly selected person attending the concert is an adult or has purchased the ticket in advance?
Hint- Use the addition rule
A) 148/250
B) 100/250
C) 140/250
D) 188/250

Please help I keep getting it wrong, I’ve tried A and B.

Answers

Answer:

D. 188/250

Step-by-step explanation:

Total number attending concert is 250

Total number of adults AND tickets purchased in advance:

48 + 100 + 40 = 188

Divide by 250:

[tex]\frac{188}{250}[/tex]

The probability that the randomly selected person attending the concert is an adult or has purchased the ticket in advance is 188/250.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given a table which shows when the tickets for a concert are sold and the types of tickets that are sold.

The probability of A or B can be calculated as,

P(A or B) = P(A) + P(B) - P(A and B)

Let A denote the people is an adult.

Let B denote the people who has purchased the ticket in advance.

P(A) = 148/250

P(B) = 140/250

P(A and B) = 100/250

Probability that a randomly selected person attending the concert is an adult or has purchased the ticket in advance is,

P(A or B) = 148/250 + 140/250 - 100/250

              = 288/250 - 100/250

               = 188/250

Hence the required probability is 188/250.

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If 45%of a number, n, is 225, what is 74% of n?

Answers

Answer:

if 45% of a number ,n, is 225, then 74% of a number ,n,is 370


Find the value for k for which y= 2x+k is a tangent to the curve y=2x^2-3 and determine the point of intersection

Answers

Answers:  

k = -3.5

Intersection point is (0.5, -2.5)

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

Explanation:

Apply the derivative to y=2x^2-3 and you should get dy/dx = 4x

The derivative helps determine the slope of the tangent at any point on the curve.

The slope of the tangent line y = 2x+k is 2.

We want the slope of the tangent to be 2, so we'll replace the dy/dx with 2 and solve for x.

dy/dx = 4x

2 = 4x

x = 2/4

x = 0.5

Plug this into the curve's original equation.

y = 2x^2 - 3

y = 2(0.5)^2 - 3

y = -2.5

Therefore, the tangent line y = 2x+k and the curve y = 2x^2-3 intersect at the point (0.5, -2.5). This is the point of tangency.

We'll use the coordinates of this point to determine k.

y = 2x+k

-2.5 = 2(0.5) + k

-2.5 = 1 + k

k = -2.5-1

k = -3.5

Visual verification is shown below. I used GeoGebra to make the graph, but you could use any other tool you prefer (such as Desmos).

Sam receives a shipment of 36 football helmets. Of the 36 football helmets in the shipment, four of them were scratched and need to be returned. If another shipment of 108 helmets arrive, then how many are likely to be scratched

Answers

The number of football helmets which are likely to be scratched from the 108 helmets is; 12.

What is the number of helmets likely to be scratched?

It follows from the task content that of the initial shipment of 108 football helmets; four of them were scratched.

On this note, the number of helmets likely to be scratched from the new shipment of 108 helmets can be evaluated by ratios as;

x = (108 × 4)/36 = 12 scratched helmets.

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If anyone can help me with this then thank you. :)

Answers

Answer:

steps below

Step-by-step explanation:

(a) first green: 8/23 AND 2nd green: 7/22

AND: multiplication.. 8/23 x 7/22 = 28/253 ≈ 0.11 (11%)

(b) 15/23 x 8/22

find the solution for x when x^3 = 27/8

Answers

Answer:

3/2

Step-by-step explanation:

[tex] {x}^{3} = \frac{27}{8} [/tex]

[tex] x = \sqrt[3]{ \frac{27}{8} } = \frac{3}{2} [/tex]

Solve for xx. Enter the solutions from least to greatest.
Round to two decimal places.
(x + 8)^2 - 7 = 0

Answers

Lesser x: √7-8
Greater x: -√7-8

suppose the mean height for men is 70 inches with a standard deviation of 2 inches. What percentage of men are less than 74 inches tall?

Answers

Answer:

97.7 %

Step-by-step explanation:

TWO standard deviations above the mean

  z - score = 2   corresponds to .9772    97.7 %

what is the equation of line a [2 points]​

Answers

Answer:

The two-point form of a line is used for finding the equation of a line given two points (x1,y1) ( x 1 , y 1 ) and (x2,y2) ( x 2 , y 2 ) on it. The two point-form of a line is:y−y1=y2−y1x2−x1(x−x1) y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1 ) OR y−y2=y2−y1x2−x1(x−x2) y − y 2 = y 2 − y 1 x 2 − x 1 ( x − x 2 ) .

ASAP ASAP ASAP PLS ANSWER

Answers

area triangle:

(1.7m×2m)×2

= 1.7m²

-> 2 triangles so: 1.7m²×2= 3.4m²

area rectangles(walls):

2m×3m

= 6m²

-> 2 walls so: 6m²×2=12m²

area bottom rectangle:

3m×2m=6m²

-> total area:

6m²+12m²+3.4m²= 21.4m²

If a 3 ft tall cardboard box casts a 6 ft long
shadow, then how tall is a tent that casts a
18 ft shadow?

Answers

Answer:

9 ft tall.

Step-by-step explanation:

The box that is 3 feet tall casts a 6 foot shadow, which is double the height. If we use inverse operations because we start with the shadow we will get 9 feet because 18 divided by 2 is nine.

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Write an algorithm in pseudocode to input 500 positive whole numbers. each number input must be less than 1000. find and output the largest number input, the smallest number input and the range (difference between the largest number and smallest number). use only if/then else PLSSS HELP IF YOU TURLY KNOW THISS Light with a photon energy of 3 ev impinges on the surface of a material with work function 0.6 ev to eject electrons. what is the kinetic energy of the outgoing electrons Find the surface area of the right triangular prism shown below. Geometry given right triangle ABC with altitude BD drawn to hvpotenuse AC. If AD = 8and BD = 4, what is the length of DC? Surface impoundments are pond-like areas that are used to hold liquid hazardous waste. Surface impoundment sites should have ______.A: A heavy, plastic liner that keeps waste from leaking into the soilB: Many earthquakesC: No linerD: Streams that flow into and out of them so that the waste can move downstream into local rivers What Union victory took place in the western theater of the war?OHampton RoadsO the port city of New OrleansO Bull RunO Fort Sumter what effect did the long combat deployment in afghanistan have on the attitudes of theamerican people Why was ocean travel dangerous (two things)? I dont know what letters go in what order, an explanation would be appreciated Part A AWhat is a moral of "The Wind and the Sun"? ?It is never too late to learn something new.O Too much pride can be dangerous.OOne should place the needs of others before one'sown.O Toughness is shown through actions, not words.Part BWhich detail best supports the answer to Part A?The Wind helps the man wrap his coat more tightly How communication skills are different from self management skills Can anyone help please, Thanks. If you do these 2 problems you get 100 points 1) According to the half reactions below, what is the cell potential of thereaction?Cu2+ + 2e - Cu E = 0.34VCr3+ + 3e - Cr? E= -0.41VIa) -0.07Vb) -0.75VC) 0.75Vd) 1.85V please #3 is wrong i need help i only need the answer to it The four small circles are identical. The total area of the small circles is 64pi square inches. What is the area of the larger circle? Write your answer in terms of pi . A polar curve is represented by the equation r1 = 7 + 4cos .Part A: What type of limaon is this curve? Justify your answer using the constants in the equation.Part B: Is the curve symmetrical to the polar axis or the line theta equals pi/2 Justify your answer algebraically.Part C: What are the two main differences between the graphs of r1 = 7 + 4cos and r2 = 4 + 4cos ? In parallelogram M NOP, PK = 5x and K N = n2 14.What is PN?A. 7B. 36C. 70D. 100 Please help me on this!