How do you find the area of a graph and a line?

Answers

Answer 1

To find the area of  a graph and a line, you need to use the integral calculus formula.

Specifically, you will use the definite integral. The definite integral of a function f(x) over an interval [a, b] is given by the formula:

Integral of f(x)dx = F(b) - F(a)

Where F(x) is the antiderivative of f(x). To find the area of a graph, you will first need to find the antiderivative of the function. Then you will substitute the a and b values of the interval into the formula. Finally, subtract F(a) from F(b) to find the area of the graph. To find the area of a line, you will need to use the same formula. However, since the line is a straight line, the antiderivative of the line is simply the equation of the line, so the formula simplifies to:

Integral of f(x)dx = (mx + c)b - (mx + c)a

Where m is the slope of the line, and c is the y-intercept. After plugging in the a and b values of the interval, subtract (mx + c)a from (mx + c)b to find the area of the line.

Learn more about integral calculus here:

https://brainly.com/question/24705479

#SPJ4


Related Questions

Using the following equation , solve the equation graphically for integral values of x any.
Plot a graph of the equations and shade out the area which is not in the range of values.

1.
[tex]y \geqslant 0 , \\ x - y \geqslant 1 , 3x + 4y < 12[/tex]

Answers

Answer:

See the attached

Step-by-step explanation:

y ≥ 0 - limits the region to first and second quadrantsx - y ≥ 1 ⇒ y ≤ x - 1 (region A on the graph)3x + 4y < 12 ⇒ y < - 4/3x + 4 (region B on the graph)

Regions covered by each functions are shaded and the intersection also shaded and marked.

The white area in the graph is the out of range region.

Answer:

  {(1, 0), (2, 0), (2, 1)}

Step-by-step explanation:

In the attached graph, the dashed lines are to be considered part of the unshaded area, hence in the solution set. The only points with integer coordinates in the solution set are the ones listed above.

Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough? Type your answer as a mixed number in lowest terms. Use the on-screen keyboard to type the correct answer in the box.

Answers

Answer: Each piece is 1 2/3 inch length.

Step-by-step explanation:

Total length of cookie dough =10-inch

Since it is being into divided  into 6 equal-length pieces

We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.

HELP PLEASE PLEASE PLEASE

Answers

Answer:

We'll need 2 points so we'll choose (-6, 0) and (0, -3).  

Let's calculate the slope (or 'm') using

Slope or m = (Y2 -Y1) ÷ (X2 -X1)

Slope ('m') = (-3 -0) / (0, - -6) = -3 / 6 = -1/2

Then we calculate the equation using:

(y - y1) = m • (x -x1)

(y - 0) = -1/2 * (x - -6)

y = -1/2 x -3

Source: http://www.1728.org/distance.htm

Step-by-step explanation:

Answer:

         x + 2y = - 6

Step-by-step explanation:

X-intercept:  (-6, 0)

Y-intercept:  (0, -3)    ⇒   b = -3

Slope:   [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{0+3}{-6+0}=-\dfrac12[/tex]

Slope-intercept form  y = mx + b

[tex]y=-\frac12x-3[/tex]        {multiply both sides by 2}

2y = - x - 6          {add x to both sides}

x + 2y = - 6

Solve the following equation by using the QUADRATIC FORMULA
x2 – 5x – 12 = 0

Show how you got that answer

Answers

Answer:

x=(5+√73)/2 or x=(5-√73)/2

Step-by-step explanation:

a=1 b=-5 c=-12

x= (-b+/-√b^2-4ac)/2a

x= (-(-5)+/-√(5)^2-4(1)(-12))/2(1)

x= (5+/-√25-4(-12))/2

x= (5+/-√25+48)/2

x= (5+/-√73)/2

x=(5+√73)/2 or x=(5-√73)/2

√: This symbol represents the square root if you get confused.

What is 2/10, 2/5, and 2/20 ordered form least to greatest?

Answers

Step-by-step explanation:

2/20, 2/10 , 2/5

set them all to the same denominator of 20:

2/20, ,4/20, 8/20

What’s the slope and y intercept??

Answers

Answer:

The y intercept is (0,0) and the slope is 1

Step-by-step explanation:

Its (0,0) because thats where the line crosses on the y axis.  For the slope you do rise over run, you rise once and run once to the next solid point or place.

Refer to the attachment for better understanding

An African elephant weighed 209 lbs when it was born. Baby elephants gain an average of 38 lbs per week.

Part A

Write an equation that could be used to calculate the number of weeks, w, it would take a baby elephant to weigh 1197 lbs.

Part B

How many weeks will it take for the baby elephant to weigh 1197lbs?

Enter your equation, your answer, and your work or explanation in the space provided.

Answers

Answer:

Part A: W= (1197- 209)/ 38

Part B: 26 Weeks

Step-by-step explanation:

Part A:

We first need to subtract the 209lbs from the goal of 1197lbs. Now we have how many pounds we need to gain. Then we need to divide it by how many pounds we are gaining a week. Now we have how many weeks it will take

Part B:

W= (1197- 209)/ 38

W= 988/ 38

W= 26

помогите пж а то мне купец я не могу решить умоляю вас​

Answers

Answer:

hshsjakaihshsksishshsjsiaiqoajsbsiwkajsvjsksjshshs

twice the sum of j and 4

Answers

Answer:

J+4*2

Step-by-step explanation:

A. 25-3x=40

Answer: x =
its a neg #

Answers

minus 25 on both sides which gives -3x = 15 divide by -3 which means x =-5

Answer:

-3x= 40-25

-3x=15

x=15÷3

x=5

Simplify (4y - 3x - 2) - (7y + 4x + 3)

Answers

Answer:

-7x - 3y -5

Step-by-step explanation:

Answer:

-7x - 3y - 5

Step-by-step explanation:

In this question, you will simplify the expression given.

Solve:

(4y - 3x - 2) - (7y + 4x + 3)

Use the distributive property.

4y - 3x - 2 - 7y - 4x - 3

Combine like terms.

4y - 3x - 2 - 7y - 4x - 3

-7x + 4y - 2 - 7y - 3

-7x - 3y - 2 - 3

-7x - 3y - 5

Since we can't simplify further, your final answer would be -7x - 3y - 5

Please help. Mathematics.

Answers

Step 4 cause 1.4116*800=1129.28.
step 4, so sorry if wrong!!!

Simplify x^6+10x^5+25x^4-x^2-10x-25 using synthetic division

Answers

Saan po yung divisor?

Kailangan ko po

PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS RIGHT!!

Answers

Step-by-step explanation:

Standard polynomial is:

[tex] - 20 {x}^{3} - 3 {x}^{2} + 4x[/tex]

Leading co effecient is:

-20

(4,1) slope = 2 , point slope form

Answers

Answer:

y-1=2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=2(x-4)

Answer:

[tex]y=2x-7[/tex]

Step-by-step explanation:

[tex]y=2x-7[/tex]

Hope I helped!

Check out my profile for more answers!

The cereal box shown below is a rectangular prism. Find the surface area of the cereal box. ​

Answers

Answer:

580 cm^2

Step-by-step explanation:

First, find the area of the front and back. 20*10=200

There are 2 sides with 20*10 ( front and back) so we can multiply by 2. 200*2=400

Then, the sides. 3*20=60*2=120

Then, the top and bottom 10*3=30*2=60

400+120+60=580

Answer:

420

Step-by-step explanation:

60+60+30+30+120+120

hope this helped :)

how much grams are in a milligram ​

Answers

there are 1000 milligrams in 1 gram

Hope this helps

Solve 3(x + 1) + 6 = 33

Answers

Answer:

3(X+1)+6=33

3x+3+6=33

3x+9=33

3x=33-9

X=24/3

X=8

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex]3(x + 1) = 33 - 6[/tex]

2) Simplify 33 - 6 to 27.

[tex]3(x + 1) = 27[/tex]

3) Divide both sides by 3.

[tex]x + 1 = \frac{27}{3} [/tex]

4) Simplify 27/3 to 9.

[tex]x + 1 = 9[/tex]

5) Subtract 1 from both sides.

[tex]x = 9 - 1[/tex]

6) Simplify 9 - 1 to 8.

[tex]x = 8[/tex]

Therefor the answer is, x = 8.

Find the coordinates of the intersection of the diagonals of rectangle WXYZ with the given vertices. W (-1, 7), X (8,7), Y (6,-2), Z (-3,-2).

Answers

(-1,7) X (8,7) Y ( 6-2), ( -3 -2).

The basketball team ordered two pizzas. They left 1/3 of one and 1/4 of the other uneaten. What amount of pizza did they have leftover?

Answers

Get both 1/3 and 1/4 to the same denominator, with is 12, you also multiply the numerator the same you had to as the denominator.

The answer is 7/12

Solve and graph the inequality. Show all your work. Upload a picture of your work.

x + 8 > 5

Answers

Answer:

x > -3

Step-by-step explanation:

x + 8 > 5

   -8   -8

    x > -3

I hope this helped you :)


For the inverse variation equation p=8/v what is the value of V when p = 4?
O 1/8
o 1/2
O 2
O 32

Answers

Answer:

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form

y*x=k or y= k/x

in this problem we have that

the value of the constant K is equal to 8

so

pv=8

Solve for V

v=8/p

Find the value of V for p=4

substitute the value of P in the formula

v=8/4=2

therefore

the answer is

the value of V is equal to 2

I looks better also whats 7% of 798 explain

Answers

7% of 798 is 55.86.

Answer:

cappppppppppp

Step-by-step explanation:

jp wyd homie

What's the slope of the table

Answers

Answer:

8 3 5 4 6 8 8 4 8 8. 8 8 8 8 8 8 8 7 7 7 7 77 7 4 4. 5 8

Lynn has a collection of lacrosse sticks. After selling 65% of her lacrosse sticks, she has 42 sticks left. How many lacrosse sticks did she start with?

Answers

Answer:

Starting number= 120

Step-by-step explanation:

Giving the following information:

After selling 65% of her lacrosse sticks, she has 42 sticks left.

To calculate the starting number of lacrosse sticks, we need to use the following formula:

Starting number= sticks left / proportion of sticks on stock

Starting number= 42 / 0.35

Starting number= 120

6(-5x - 16) = 30y + 84

Answers

Answer:
-6

Explanation:

Fill in the blanks. This is important

Answers

in ce clasa ești tu??????

What does the problem 37( 253,080 equal?​

Answers

Answer:

so confused like what is this

Step-by-step explanation:

Answer:

9363960

Step-by-step explanation:

The calculator says otherwise -.-

but yeah, hope it helps.

what's
[tex] {3}^{4} [/tex]

Answers

QUESTION:

What is the value of 3⁴

SOLUTION:

▶️ 3⁴ = 3×3×3×3

▶️ 3⁴ = 81

ANSWER:

The value of 3⁴ is 81..

4. the following are the varriables in the term 10xyz Except

5. Evaluate the given algebric expression m2 - 3m + 2 if m =3.

6.What is the value of the varriable so that the algebraic expression s2 - 16 will result to 0.

help plsss​

Answers

Answer:

Step-by-step explanation:

5. Putting value of m = 3

m2 - 3m + 2

(3)2 - 3(3) + 2

6 - 9 + 2

= - 1

The answer is -1 pretty sure
Other Questions
The pH of a 0.19 M solution of acid HCN is found to be 5.02. What is the Ka of the acid? The equation described by the Ka value is HCN(aq)+H2O(l)CN(aq)+H3O+(aq) Report your answer with two significant figures. true or false the contains method of our binary search tree examines every node in the tree before returning a result of false The organizational department that is in charge of finding, screening, and negotiating prices with suppliers is typically called _______A) Reverse logisticsB) LogisticsC) WarehousingD) ProcurementE) Distribution publicity is considered to be integral to which part of the promotional mix? multiple choice question. A. personal selling B. direct marketingC. public relations D. advertising analyze the parts of the word intermolecular and define intermolecular forces of attraction. Calculate the pOH of a 7. 68x10-7 M HCl solution. pOH = (round to 3 sig figs) a smash and grab burglary is where the perpetrator throws a brick through the window of a business, seizes what can immediately be taken and leaves the scene. true or false? Do the follow reactions depict Heat of Formation Reactions? If so, mark the reaction as YES, if it is not a Heat of Formation Reaction, then choose NO.NoYes CO2(g) + C(gr) 2CO(g)NoYes 2Fe2O3(s) 4Fe(s) + 3O2(g)NoYes H2(g) + 1/2O2(g) H2O(g)NoYes HgS(s) + O2(g) Hg(l) + SO2(g)NoYes Ni(s) + 4CO(g) Ni(CO)4(g) when considering nested environments, one example of variables from the task (operational) environment Fe+ (aq) + SCN (aq) FeSCN+2 (aq) + heatcolorlesscolorlessred-brownWhich stress would result in the student observing a red-brown color in the reaction?A Remove FeSCN+2B Remove SCNC Add FeSCN+D Add heatSave2> Find the area of a regular hexagon with radius 12 in Which of the following is a database organization method commonly used for Big Data applications?Select one:a. Network-attached storage modelb. Temporary-network storage modelc. Directed application network storage modeld. Network-directed storage modele. Highly-structured storage model Nebula Corp's most recent earnings before interest and taxes (EBIT) was $29 million. They increased their net working capital by $4 million and invested $10 million in fixed assets. The firm had $7 million in depreciation expense. The firm's tax rate is 21%. The firm has 10 million shares outstanding and $57 million in long term debt. The firm has $18 million in cash and cash equivalents. What is Nebula's intrinsic value if we assume a weighted average cost of capital of 14%, a cos of equity of 16%, and their free cash flow to the firm grows at a constant rate of a 4%?A. $12.65B. $12.00C. $5.37 Consider the following data for a project to reorganize the office space at Platinum Financial Advisors: Immediate Predecessor(s) Activity A Expected Time (weeks) 5 3 B 2 4 B E 5 7 C, D D F a. Choose the correct network diagram for this project. O A. B. C A 5 Un A 5 E 5 Start Finish Start Finish B 3 D 4 B 3 4 O c. OD. C B 3 E 5 A 5 D 4 E 5 Start Finish Start Finish A 5 D 4 B 3 b. Identify the critical path and estimate the project's duration. The critical path is path and the project duration is weeks. (Enter your response as an integer.) c. Calculate the slack for each activity. (Enter your responses as integers.) Activity Slack (weeks) A B D Please copy and paste data from text area below. Selected delimiter: Comma (weeks), Immediate Predecessor(s) Activity, Expected Time A,5,- B,3,- C,2,A D, 4,B E, 5, "C, D" F,7,D which best describes the overall form of the aria "rejoice greatly" from handels messiah? a cost control method for examining project cost performance over time to determine whether performance is improving or deteriorating is FILL THE BLANK. according to the crowding-out effect, if the government sells bonds to finance spending, _____ can eventually fall. from chapter 14 of pursuing justice book: what is true about the worlds supply of available fresh water? .For each compound, write an equation showing how the compound dissolves in water and write an expression for KspMg(OH)2FeCO3PbS For the subspace below, (a) find a basis, and (b) state the dimension. 9a + 18b - 3c 3a-b-c a, b, c in R - 12a + 5b + 4c - 3a + b + c bc a. Find a basis for the subspace. A basis for the subspace is