please help me im stuck

Finite approximation method of estimating the area under the curve of the

given function makes use of rectangular approximation of the area.

The correct responses are;

i) The estimated area using a lower sum with two rectangles of equal width is 1,715 square units.

ii) The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.

iii) The estimated area using an upper sum with two rectangles of equal width is 8,575 square units.

iv) The estimated area using a upper sum with four rectangles of equal width is 6,431.25 square units.

Reasons:

The given function is f(x) = 5·x²

The given domain is x₀ to x₁₄

i) Estimate using lower sum with two rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]

f(0) = 0

f(7) = 5 × 7² = 245

A = 0 × 7 + 245 × 7 = 1,715

The estimated area using a lower sum with two rectangles of equal width

is 1,715 square units.

ii) Estimate using lower sum with four rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]

f(0) = 0

f(3.5) = 5 × 3.5² = 61.25

f(7) = 5 × 7² = 245

f(10.5) = 5 × 10.5² = 551.25

A = 0 × 3.5 + 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 = 3,001.25

The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.

iii) Estimate using an upper sum with two rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]

f(7) = 5 × 7² = 245

f(14) = 5 × 14² = 980

A = 245 × 7 + 980 × 7 = 8575

The estimated area using an upper sum with two rectangles of equal width

is 8,575 square units.

iv) Estimate using an upper sum with four rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]

f(3.5) = 5 × 3.5² = 61.25

f(7) = 5 × 7² = 245

f(10.5) = 5 × 10.5² = 551.25

f(14) = 5 × 14² = 980

A = 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 + 980 × 3.5 = 6,431.25

The estimated area using a upper sum with four rectangles of equal width

is 6,431.25 square units.

Learn more here:

https://brainly.com/question/2264277

Answer:

2085 feet

Step-by-step explanation:

If the library and school are one mile apart and his house is in the middle then after he walks to his house he only has 2085 feet left to walk.

Answer:

B

Step-by-step explanation:

Might be C, but I hope it helps

Answer:

Step-by-step explanation:

24 hr in a day

so

540 : 24 = 22.5 or 22 1/2

Answer:

120

Step-by-step explanation:

I took the test

Answer:

a.

Step-by-step explanation:

hope it's helpful

brainliest me pls

Answer:

-5

Step-by-step explanation:

I think it would be -5 because if Celia had -3, that would take away from Janine, so then it would leave the points at 5. But, it says the team had 0 points all together, so wouldn't it be -5?

Using the Zscore principle, the probability of obtaining a score which will be 115 or higher is 0.15866

Given the Parameters :

Zscore = (X - μ) ÷ σ

Zscore = (115 - 100) ÷ 15

Zscore = 1

Using a normal distribution probability ;

P(Z ≥ 1) = 1 - P(Z ≤ 1)

P(Z ≥ 1) = 1 - 0.84134

P(Z ≥ 1) = 0.15866

Therefore, the probability is 0.15866

Learn more :https://brainly.com/question/8165716

Answer:

Step-by-step explanation: b-8=a

Answer:

y = x + 3

Step-by-step explanation:

→ Rewrite y - x + 3 = 0 in y = mx + c format

y = x - 3

→ Find the gradient of L4

1

→ Rewrite into y = mx + c format

y = x + c

→ Substitute in ( 0 , 3 )

3 = 0 + c

→ Find c

c = 3

→ Rewrite into y = mx + c

y = x + 3

See the photo attached for the solution.

Answer:

f=4-3t^2/t+1

Step-by-step explanation:

Answer:

look at the photo............

9514 1404 393

Answer:

  ∠PTQ = 40°

  ∠PTR = 140°

Step-by-step explanation:

The two marked angles are "vertical" angles, so are congruent.

  ∠PTQ = ∠STR

  (x +28)° = (2x +16)°

  12 = x . . . . . . . . . . . . . . . divide by °, subtract x+16

Then the measure of angle PTQ is ...

  ∠PTQ = (x +28)° = (12 +28)° = 40°

That and angle PTR form a linear pair, so are supplementary.

  ∠PTR = 180° -∠PTQ = 180° -40° = 140°

Answer:

(c) part two is correct ans.

Step-by-step explanation:

mark me as a brainlist plz.

Answer:

x = 6

Step-by-step explanation:

This can be written as a ratio

7 : 2

21 : x

If you times one side by 3, you have to multiply the other side by three too:

2 × 3 = 6

∴ x = 6 when y = 21

Answer:

Step-by-step explanation:

[tex]\frac{8}{x} =cos 60\\\frac{8}{x} =\frac{1}{2} \\x=8 \times2=16\\\frac{y}{x} =sin60\\\frac{y}{16} =\frac{1}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \times\frac{\sqrt{2}}{\sqrt{2}} \\y=\frac{16\sqrt{2}}{2} =8\sqrt{2}[/tex]

Answer:

the second option/x = 4, y = 8√3

Step-by-step explanation:

out of the tree options, the second one makes sense

Answer:

DOMAIN = {3, 4, 5, 6, 7}, RANGE = {2, 1, 9, 12}, the relation is a function.

Step-by-step explanation:

The domain of the relation is the set of points in A which have a tail connected to it.  That is {3, 4, 5, 6, 7}.

The range of the relation is the set of points in B which have a tip connected to it.  That is {2, 1, 9, 12}.

Since each element of the domain of the relation is associated with exactly one element of the range, the relation is a function.

Answer:

Step-by-step explanation:

Let the format be:

For each L we have 26 (English alphabet) and for each D we have 10 options.

Number of possible accounts:

Answer:

8 METERS CUBES I THINK

Step-by-step explanation:

VOLUME IS LENGTH TIMES WIDTH TIMES HEIGHT

2 METERS TIMES 2 METERS TIMES 2 METERS IS 8 METERS

Answer:

r=1.8

Step-by-step explanation:

Answer:

2.66 = r

Step-by-step explanation:

3.13 - 0.47 = 2.66 which would equal r

Step-by-step explanation:

y=mx+b

y=(2/3)x+b

-3=(2/3)(-3)+b

-3=-2+b

-1=b

y=(2/3)x-1 . y-intercept at (0,-1)  

0=(2/3)x-1

1=(2/3)x

3=2x

3/2=x . x-intercept at (1.5,0)

Answer:

I think there is 6.

Step-by-step explanation:

Im not 100% sure tho :{

Hope this helps :}

Pls make brainliest :P

And have an amazing day <3

Answer:

Sure if they are not too hard

Step-by-step explanation:

Answer:

Your car is faster of course

Step-by-step explanation:

100 km would be 100000 meters. Then you would need to know that if Usain bolt ran 100 meters every 9.54 sec then in 100000 meters he would have ran 9540 seconds which is also known has 159 minutes, which is more than 1 hour so your car is faster.

Answer:

Shape: Not sure what to put

Domain: ( -oo, oo )

Range: ( -oo, oo )

Locater point: ( 0, 0 )

Step-by-step explanation:

Shape - You have the shape on the graph

Domain and Range - Both go on forever since there is no hole/interruption

Locater Point: I would say origin because it is the closest thing to a vertex, which is an example of a locater point.

Hopefully this helps!

Brainliest please?

Answer:

Need answers for what? I would LOVE to help you hun but I cant help because there is nothing to answer.

Step-by-step explanation:

Answer:

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b

Step-by-step explanation:

Answer:

That sounds delicious

Step-by-step explanation:

0.5:0.75  =   x:3

2 teaspoons of cinnamon needed

Answer:

D. 19.87 acres

Step-by-step explanation:

do not put heart if wrong and put heart if correct

Answer:

He could eat 4 apples in 4 minutes

Step-by-step explanation:

If he eats 1 apple per minute (which I dont know how he does) then in 4 minutes he will have eaten 4 apples.