1. (10 points) Let f(x) = −cos(x). Compute ˆφ = c0π0 + c1π1 where π0 = 1 and π1 = x.

Compute the discrete approximation using

• x0 = π /2 and x1 = (3π)/4 .

• f( π/2 ) = 0 and f( (3π)/4 ) = √ 1 2 .

You may use the XT X|XT Y method or A⃗c = ⃗b method.





2. (10 points) Let f(x) = x 5 . Compute ˆφ = c0π0 + c1π1 for the domain 0 ≤ x ≤ 1. Let π0 = x and π1 = x 2 . • Compute the continuous approximation. • Do not round.



3. (10 points) Suppose you have just finished approximating f(x) = x 3 for 0 ≤ x ≤ α and ended up with φˆ(α, x) = 1 2 α 2x. (a) (8 points) Evaluate E2 (α, x) = ||f − φˆ||2 . (b) (2 points) After you have evaluated ||f − φˆ||2 for α, plug in α = 1 and simplify.



4. (10 points) Reconcile the XT X|XT Y and A| ⃗b methods for the discrete case. More specifically, show that the two are equivalent for n polynomial basis functions (π0, π1, . . . πn−1) and k points.



Topics Covered:

Least square Approximation
Reconcile the XTX|XTY and Ab Methods

Answers

Answer 1
4.While not rounding the answer is 500°

Related Questions

Is 4/5 and 5/6 equivalent or not​

Answers

Answer:

For the two fractions 4/5 and 5/6, the least common denominator is 30. The fraction 4/5 is equivalent to 24/30 (To get this I multiplied both the numerator and denominator by 6). The fraction 5/6 is equivalent to 25/30 (To get this I multiplied both the numerator and denominator by 5).

Step-by-step explanation:

They are equivalent (Except for the numerator)

If 12 men or 15 women can finish a piece of work in 66 days, how long will 24 men and 3 women take to finish the work? Pls helppp thank you :)

Answers

Answer:

30 days

Step-by-step explanation:

I need help quick!!!!
Write and solve an equation to find the
measure of x.

Answers

x=120+angle a. will be your answer.

A, B and C are points on a circle with a diameter AB

Answers

Answer:

36.575

Step-by-step explanation:

you need to find line ab you can do [tex]A^{2} +B^{2} =C^{2}[/tex]  for the triangle and get the line you also need to get the squar root of it as it is still squared then devide by 2 to get the rades then times that by pi and there you go you have the area also sorry for spelling I love math not English

24 divided by [(6 divided by 2) - (4 divided by 2)

Answers

Answer:

Im pretty sure the answer is 6

Step-by-step explanation:

Leave the 24 aside for a sec. Focus on the 6÷2 and 4÷2. 6 divided by 2 is 3. And 4 divided by 2 is 2. So now its 24÷3= 8

8-2=6


Three concert tickets cost $45.
How is one ticket?

How much would 9 tickets cost?
How much would 11 tickets cost?

Answers

Answer:

45 divided by 3 = 15.00 a ticket

15.00 X 9 = 135.00

15.00 X 11 - 165.00

Step-by-step explanation:

15 a ticket ... 135 for 9 and 165 for 11

Tapiwa raked 5% more leaves than Adam raked. Tapiwa raked 357 liters of leaves.
How many liters of leaves did Adam rake?

Answers

Answer:

340 liters

Step-by-step explanation:

This means that Tapiwah raked x plus 5% of x leaves. Knowing that Tapiwah actually raked 357 liters, we can find the value of x as follows. So, Adam raked 340 liters of leaves.

A vase is shaped like a rectangular prism. It has a base area of 36 square
inches and a height of 10 inches. The vase is filled to the top with water
and emptied into a fish tank. The fish tank is also shaped like a rectangular
prism. How much more water is needed to fill the fish tank?
Vase
Fish Tank
10 in.
10 in.
10 in
36 in
20 in.

Answers

Answer:

should be 36 in

Step-by-step explanation:

1. Figure out the volume of vase

V = lwh (A = l*w, 36 = 6 * 6)

V = 10*6*6 = 360 in^3

2. What is the size of fish tank? What are the options?

An experiment was conducted to investigate the effect of management training on the decision-making abilities of supervisors in a large corporation. Sixteen supervisors were selected and eight were randomly chosen to receive managerial training. Four trained and four untrained supervisors were then randomly selected to function in a situation in which a standard problem arose. The other eight supervisors were presented with an emergency situation in which standard procedures could not be used. The response was a management behavior rating for each supervisor as assessed by a rating scheme devised by the experimenter.a. What are the experimental units in this experiment?b. What are the two factors considered in the experiment?c. What are the levels of each factor?d. How many treatments are there in the experiment?e. What type of experimental design has been used?

Answers

Answer:

A) 16 supervisors that were selected.

B) Training and Situation

C) - Trained and untrained

- Standard and Nonstandard

D) 4 treatments

E) Completely randomized block design experiment.

Step-by-step explanation:

A) The experimental units are the subjects upon which the experiment was performed. In this case, that is the 16 supervisors that were selected.

B) The two factors considered were:

- The managerial training

- The situation in which a standard problem arose and also the emergency situation in which standard procedures could not be used.

C) The levels would be the values the experimenter observes as a result of the training and situation.

Thus, the levels are:

- Trained and untrained

- Standard and Nonstandard

D) Number of treatments are the total number of levels gotten in C above.

Thus, number of treatments = 4

E) Since the 16 supervisors that were selected were randomly assigned treatments, we can say it is a completely randomized block design experiment.


This is for person to help me

Answers

Answer:

5. F

6. C

Step-by-step explanation:

5. the mode is all the variables added together which is 100 or 100% divided by the number of them which is 4. 100 divided by 4 is 25 or 25%. The one that's equal to 25% is F which is soccer.

6. The relative frequency from what I can tell is the percentages of each of them. You just have to see how much space each of them takes up. C should be the answer.

Hopefully these are correct.

1.
Calculate the following:
(4 + 2) + ( x 1
2. Simplify the following
a. 37423-4
b. 9-2​

Answers

First answer is 6+x

2. A.37419

  B. 7

6) Suppose that $5000 is deposited into an account that earns 3.5%
interest compounded Semiannually. Let f(t) represent the value in dollars)
of the account at t years after depositing the $5000. Find the value of the
account at t = 4 years. (Round your answers to two decimal places.) {your
answer input will be decimal number only)

Answers

Answer:

the future value is $5,750.01

Step-by-step explanation:

The computation of the future value is shown below;

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= $5,000 × (1 + 0.035 ÷ 12)^4 × 12

= $5,000 × (1 + 0.2916%)^48

= $5,750.01

Hence, the future value is $5,750.01

Ratio of the simplest form (a) 27 days to 3 weeks (b) 1 L 25 ml: 2 to ml

Answers

Answer:

327

Step-by-step explanation:

There are 20%, percent more goblins than wizards in magic club. There are 120 goblins in magic club.
How many wizards are in the magic club?

Answers

Answer:

100

Step-by-step explanation:

Here is your answer

Let the number of wizards is x

20% more gobins than wizards.

ATQ

Hence Numbers of wizards are 100 in a magic club.

Answer:

480

Step-by-step explanation:

120 ------ [tex]\frac{20}{100}[/tex]

x ----------[tex]\frac{100}{100}[/tex]  

x·[tex]\frac{20}{100} = 120\frac{100}{100}[/tex]

x= [tex]\frac{120}{0,2}[/tex]

x=600

600- 120= 480 wizards in the club

I will give brainliest, Geometry

Answers

Sorry udk jdjsnakksjxhxbebwnwkqkqkkqvut but here u go cat butt hhahahshshwbbansjs nobreally I just need to answer a question to ask one so sorryyyy

Can anyone help me with my homework

Answers

1. Two steps left and one step up to the computer lab
2. Music class
3. 9 left and 5 down
4. Science and math
5. 1,4
6. Second quadrant, where the entrance is

19.14 = v + 1.5

v = ?

Answers

Answer:

V= 17.64

Step-by-step explanation:

HELP! WILL GIVE BRANLIEST + EXTRA POINTS!!!!

Answers

Answer:

130.25 ft.

Step-by-step explanation:

The semi circle has a length 1/2 of the circumference of the circle with a diameter of 25

C = πd = 3.14(25)

So, the semi circle has a length = 1/2(3.14)25) = 39.25

The distance for the rectangle = 33 + 25 + 33 = 91

Therefore, the total perimeter = 91 + 39.25 = 130.25

evaluate x+(x^2-xy)-y if x=8 and y=5

Answers

Answer:

27

Step-by-step explanation:

8+(8^2-8*5)-5

8+64-40-5

72-45

27

Answer:

27

Step-by-step explanation:

8 + [8^2- (8x5)] -5

=27

Friedman and Rosenman have suggested that personality type isrelated to heart disease. specifically, type A people, who arecompetitive, driven, pressured and impatient are more prone toheart disease. on the other hand, type B people, who are lesscompetitive and more relaxed are less likely to have heart disease.suppose that an investigator would like to examine the relationshipbetween personality type and disease. for a random sample ofindividuals, personality type is assessed witha standardizedtest. these people are then examined and categorized as to whetherthey have a heart disorder. the observed frequencies are asfollows: noheart disease heartdiseaseTypeA 32 18 50TypeB 128 22 150 160 40is there any relationship between personality and disorder? testat the .05 level of significance.

Answers

Answer:

since p value(0.001091 ) is less than less than alpha(0.05)

null hypothesis H₀ is rejected.

Hence, we conclude that there is a relationship between personality and disorder.

Step-by-step explanation:

Given the data in the question;

              non-heart disease          heart disease         total

TypeA            32                                 18                         50

TypeB           128                                22                        150

total               160                                40

level of significance ∝ = 0.05

H₀ : There is no relationship between personality and disorder

H₁ : There is a relationship between personality and disorder

so

the computational table for x²

E₁ = 50×160 / 200 = 40

O                E               O-E              (O-E)²                  (O-E)² /E

32              40              -8                   64                          1.6

18               10                8                   64                          6.4

128             120              8                   64                         0.5333

22              30              -8                   64                         2.133

∑                                                                                       10.667

so

X² = ∑( (O-E)² /E ) = 10.667

The contingency table is 2×2, since there are 2 rows and 2 columns

df = (2-1)(2-1) = 1  

P Value from Chi-Square Calculator    

Chi-square score: 10.667

DF : 1

p-value = 0.001091

since p value(0.001091 ) is less than less than alpha(0.05)

null hypothesis H₀ is rejected.

Hence, we conclude that there is a relationship between personality and disorder.

through: (-2, -1), slope = 3
Write the slope intercept form of the equation line through given point with given slope .

Answers

Answer:

y =3x + 5

Step-by-step explanation:

The slope intercept form of an equation is expressed as;

y = mx+c

m is the slope

c is the intercept

Get the intercept

Substitute m = 3 and (-2,-1) into y = mx+c

-1 = 3(-2)+c

-1 = -6 + c

c = -1+6

c = 5

Get the equation.

Recall that y = mx+c

y =3x + 5

This gives the required equation

-2=w/2+6
solve for w

Answers

Answer:

It is -16

Step-by-step explanation:

Have a great Day

A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E.
Which line segment is not a diagonal through the interior of the cube shown?
Side B E
Side C H
Side C E
Side D G

Answers

Answer:

its side CE

Step-by-step explanation:

I got it wrong and it showed me the answer. Hope this helps!

Answer:

C

Step-by-step explanation:

got it right

HELP ME PLZ I NEED IT DONE

Answers

Answer:

-6 , 6, 11

Step-by-step explanation:

Set each part of the equation to zero, so that x-11= 0, and x^2 - 36 = 0. Solve each part, and you get -6, 6, and 11.

Hopefully this helps- let me know if you have any questions!

what is -(x + 3) + 8(1 - 6x) simplified?

Answers

Answer:

-49x+5

Step-by-step explanation:

Answer:

[tex] - x - 3 + 8 - 48x \\ = - 49x +5 \\ - (49x - 5)[/tex]

Hope it helps

Have a good day

Find the measure of angles?
The equations to find the measure of ∠ ∠ are given. Use the definition of an angle bisector
to find the measure for those two angles.

Answers

Answer:

m<KNL = 65°

m<MNL = 65°

Step-by-step explanation:

An angle bisector divides an angle into two equal parts.

Thus:

m<KNL = m<MNL

Substitute

5x + 10 = 6x - 1

Collect like terms

5x - 6x = -10 - 1

-x = -11

Divide both sides by -1

x = 11

✔️m<KNL = 5x + 10

Plug in the value of x

m<KNL = 5(11) + 10 = 55 + 10

m<KNL = 65°

✔️m<MNL = 6x - 1

Plug in the value of x

m<MNL = 6(11) - 1 = 66 - 1

m<MNL = 65°

Each band member is selling wrapping paper to help raise money for the band banquet.

The band pays $2.75 for each roll of wrapping paper.

The rolls are then sold for $5.00 each.
----------------------------------------------------------------------------------------------------
Write an equation to find the profit for any amount of rolls sold. Use p for total profit and r for the number of rolls of wrapping paper.

Solve your equation to find the total profit the band members make if they sold 400 rolls.
$___________?

Answers

Should be 900 total dollars profit. If they bought 400 rolls, for $2.75 it would come out to be $1,100. Then selling them for 5 each would make the total amount made equal to $2000, subtract the amount spent, and the total profit is $900. So p = 900. Now we have to find R, so if we spent a total of $1,100 on selling the wrapping paper divide that number by the amount that it cost to buy them. And R = 400. I think lol

Answer:

-2.75r+5r=p

and 900 for the profit and second part of the question.

Step-by-step explanation:

So first to solve this you need to plug in 400 for r

-2.75*400+5*400=p

you are then going to solve the -2.75*400

you get -1,100

you then are going to do the second part of the equation

yo get 2000

-1,100+2000 to get your profit of 900

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. x+7–4x3​

Answers

4x3 is 12 12-7 is 5 the answer is 5

If carpet costs $4 per square yard, how much would it cost
to carpet a rectangular room that is 6 yards wide and 10
yards long?

Answers

Answer:

A=l•w

A=6•10

A=60 yards square

1 yr sq 4$

60 yr sq x$

x=60•4/1

x=240 $

It would cost 240$ to carpet the room

Step-by-step explanation:

Answer please eeeeeeee will give branliest

Answers

Answer:

p-3 is the correct answer

Answer:

p - 3

Step-by-step explanation:

let x = number of pretzels terry ate and p = the amount of pretzels susan ate

If Terry ate 3 less than Susan than

x would equal p - 3

so your answer would be p - 3

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What should you do when you answer the phone? A. State your name, surname and contact information such as your email address . B. State your name, surname, and facility. C. State your name , city, and position . D. State your name, position , and facility . i need help this is dude tomorrow Someone help and plz make sure its right how do i stop a flood or prevent one from happening like an invention g(x) = x-6Domain of g: ?k(x) = xDomain of k: x > 0Range of k: y > 0 Select the correct answer.When would you use a block quote as evidence in an interpretive essay on a novel?O A.when you want a to include a couple of words from a secondary source to support your argumentwhen you want a longer quotation from the text to support an argument in your essayOBOC. when you want to integrate parts of a quotation into a statement with your own ideasResetNext I need help ASAP !!!!!!!!!! Which decimal is equivalent to 26/80?A.0.26B.0.308C.0.325D.0.46 Read the following sentence:Could you do me the greatest service and make anattempt to come to class on time, so we may all bask inthe glory of your presence?Who is the most likely narrator?A. A teacher who is herself often late for classB. A teacher whose student is chronically lateC. A teacher whose students are always punctualD. A teacher who is grateful for the presence of her students How does 2(3m+6) compare to 5(2m+3)-4m when m is a postive intenger . Look at the photo. Which of the followingstatements are true about the place these childrenare working in?Check all of the boxes that apply.They are wearing loose clothing.They are near dangerous machinery.They are being supervised.They are not wearing any protective gear.They are working in a well-lighted area. Find LMa. 4.5b.2 c.5.5d.48PLEASE ANSWER WILL MARK BRAINLIEST A scale on a blue print drawing of a house shows that 10 centimetres represents 22 meters.What number of actual meters are represented by 18 centimetres on the blue print? aluminum and hydrochloric acid reaction type i need someone with a big brain ITS EZ BUT I NEED HELPPPPPPPPPPPPPPPPPPPPPP what two pieces of legislation did they push through congress between 1866 and 1868 to help ensure the civil rights of african americans I............... To siberia Yet (not/to be)Didn't beWasn'tHaven't beenHas,'t been Why do romeo's friends think he has abandoned him? What West African ruler made a pilgrimage to Mecca? What were some of its effects? A bag of 3 books weighs 0.75 pounds how much will a bag of 10 books weigh