Let B be the basis of P3 consisting of the Hermite polynomials in Exercise 21, and let p.t / D 7 ! 12t ! 8t 2 C 12t 3. Find the coordinate vector of p relative to B.

Answers

Answer 1

To calculate the relative vector of B we have to:

[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]

The coordenates of:

[tex]p(t)= 12t^3-8t^2-12t+7[/tex], with respect to B satisfy:

[tex]C_1(1)+C_2(2t)+C_3(-2+4t^2)+C_4(-12t+8t^3)= 7-12t-8t^2+12t^3[/tex]

Equating coefficients of like powers of t produces the system of equation:

[tex]\left \{ {C_1-2C_3=7} \atop {2C_2-12C_4=-12} \right. \\\left \{ {{4C_3=-8} \atop {8C_4=12}} \right.[/tex]

After solving this system, we have to:

[tex]C_1=3\\C_2= 3\\C_3= -2\\C_4= \frac{3}{2}[/tex]

And the result is:

[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]

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Related Questions

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:

Parallel

Step-by-step explanation:

Solving the equations, we come out to:

A. y = 1/4x + 1

B. y = 1/4x - 1

This would make the lines Parallel because the slope is the same

A cylinder has a volume of 33,912 units3 and a
height of 12 units. What is the diameter of the
cylinder?

Answers

Answer:

60

Step-by-step explanation:

What is the degree of angle o?

Answers

Answer:

48°

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

48 hope this help you

PLEASE HELP AND EXPLAIN ALSO SHOW WORK​

Answers

Answer:

x=10

Step-by-step explanation:

Make 2x the only variable on the left side of the equation. Do that by taking 3 and 5 to the left. Note: if you move/transpose any number the sign must change.

2x = 18+5-3

2x=20

Divide both sides of the equation by 2 to make x the only variable left.

x=10

4.5 x 30 =
tenths x 30 =

Answers

Answer:

4.5 x 30 = 135

0.1 x 30 = 3

Hint: something multiplied by 0.1 is the same as that same thing divided by 10.


By which numbers (4,6,8 or 9) are the following numbers divisible?
(a) 3 786
(b) 4 136
(c) 15 342
(d) 87 312
(e) 85 572
(f) 1234 567

Answers

Answer:

option a as last digit even a d come in 3 table

Given the triangle below and the equation: sin A = 3/5.
Determine the value of b.

Answers

Using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.

Recall:

The trigonometry ratio is used in solving a right triangle, having, hypotenuse, adjacent, and the opposite side, given a reference angle.Trigonometry ratios are: SOH CAH TOAPythagorean Theorem is given as: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse).

Given the trigonometry ratio of sin A = 3/5

Recall that, sin ∅ = opp/hyp (SOH)

Thus, this means that, in sin A = 3/5,

A = ∅3 = opposite side, which corresponds to a in the given triangle.5 = hypotenuse, which corresponds to c in the given triangle.b is therefore the adjacent side

Thus, find the value of b by applying the Pythagorean theorem.

[tex]b = \sqrt{c^2 - a^2}[/tex] (Pythagorean Theorem)

Substitute

[tex]b = \sqrt{5^2 - 3^2}\\\\\mathbf{b = 4}[/tex]

Therefore, using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.

Learn more about Trigonometry ratios on:

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What is -6/2 simplified

Answers

The simplest form of
6
2
is
3
1
.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator
GCD of 6 and 2 is 2
Divide both the numerator and denominator by the GCD
6 ÷ 2
2 ÷ 2
Reduced fraction:
3
1

Therefore, 6/2 simplified to lowest terms is 3/1.

The fraction number negative 6/2 in the simplified form will be negative 3.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The fraction number is given below.

⇒ - 6 / 2

Simplify the fraction number, then we have

⇒ - 6 / 2

⇒ - 3

The fraction number negative 6/2 in the simplified form will be negative 3.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ5

NO FILES NO LINKS ASAP

Answers

Answer: A = 117 units^2

Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.

A = (w)(l)                                                                                                                   A = (9)(13)                                                                                                               A = 117 units^2

A fundamental basis of regression analysis is the assumption of a. the lack of a relationship between independent variables. b. a curvilinear relationship between two weakly associated dependent variables. c. a uniform normal distribution between dependent variables. d. a straight-line relationship between the independent and dependent variables. e. the existence of two independent variables for every dependent variable.

Answers

The correct answer is E. A fundamental basis of regression analysis is the assumption of the existence of two independent variables for every dependent variable.

Regression analysis is a statistical method that examines the dependence of a response variable on selected explanatory variables.

When studying the dependence between quantities and trying to describe a given functional dependence on a given formula, it is assumed that the dependence consists of a precisely determinable component and a random component. The relationship with this assumption is called the regression model.

Learn more about regression analysis in https://brainly.com/question/1305938

Ashley plays in the band. She brought eighty-four snacks to school for her band friends and she has twenty-one friends. How many snacks does each person receive?

Answers

Answer:

B. 4 steps

Step-by-step explanation:

[tex]84 \div 21 = 4[/tex]

just divide total number of steps by number of friends to derive the answer.
given:

84 snacks

21 friends

to find:

how many snacks each of her friend gets.

solution:

[tex] \frac{84}{21} [/tex]

[tex] = 4[/tex]

hence, each of her friend will get 4 snacks.

answer= option B

y varies inversely with x and x= 3 when y =10. What is the value of y when x=6?
k =
y=

Answers

Answer: Y=20

Step-by-step explanation:

X is doubled from 3 to 6 meaning that y is also doubled.

Double 10 is 20 so y=20.

All the assignment for 25 points

Answers

Answer:

X = 6.2m

Step-by-step explanation:

118 - 19x =

Answer:

the length would be 40

Step-by-step explanation:

step 1) multiply 19 for both short sides = 38

step 2) subtract from total perimiter = 80

step 3) 80 divided by 2 to calculate length/long side = 40

How to integrate absolute value.

Answers

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

One pound of ground beef is $3.09. How much is 4.5 pounds? Round to the nearest hundredth, if necessary

Answers

Answer:

1 pound beef = $3.09

4.5 pound beef = x

x = 3.09 × 4.5

x = 13.91

4.5 pounds= 3.09x4.5= 13 905

Please help!!!!! (worth 45 points)

Answers

Answer:

5 + (-5) and 8 + (-8)

Step-by-step explanation:

Sum of zero means when you add them you get 0

so the others are wrong

-5 + (-5) = -10 because you have -5 and you add another -5

-12 + (-12) = -24 you start with -12 and you add another -12

Think of positive and negative numbers like floors in a building. Positive numbers are the stories and the negative numbers are the basement and sub-basement, zero is the ground level. So for 5 + (-5) you go up 5 floors, then you go down 5 floors. you end up on the ground level, 0.

The pie chart shows information about the voters in an election 2800 more women voted than men work out the total number of voters

Answers

The angle subtended by the women voters are 100° more than the angle subtended by the men voters.

The total number of voters are 10080 voters

Reasons:

The angle subtended by the men on the pie chart = 130°

The number of women = 2800 + The number of men

Therefore;

Angle subtended by the women voters on the pie chart = 360° - 130° = 230°

The difference between the angle representing women and the angle

representing men = 230° - 130° = 100°

Therefore;

100° = 2800

Which by common ratios gives;

[tex]\dfrac{100^{\circ}}{360^{\circ}} = \dfrac{2800}{Total \ number \ of \ voters }[/tex]

100 × Total number of voters = 2800 × 360

[tex]The \ total \ number \ of \ voters = \dfrac{2800 \times 360}{100} = 10080[/tex]

The total number of voters = 10080

Learn more here:

https://brainly.com/question/20431949

Answer:

The angle subtended by the women voters are 100° more than the angle subtended by the men voters.

The total number of voters are 10080 voters

Reasons:

The angle subtended by the men on the pie chart = 130°

The number of women = 2800 + The number of men

Therefore;

Angle subtended by the women voters on the pie chart = 360° - 130° = 230°

The difference between the angle representing women and the angle

representing men = 230° - 130° = 100°

Therefore;

100° = 2800

Which by common ratios gives;

100 × Total number of voters = 2800 × 360

The total number of voters = 10080

Can someone solve this for me please? I would be very thankful <3

Answers

Answer:

running speed is horse power

so up with horse

it will tell its power

go and denge it

so you will get your answer by this process

What is the other endpoint of the segment with midpoint (-3) and endpoint (-7)?
O 4
O 1
0-11
0-5

Answers

Answer:

1

Step-by-step explanation:

From -3 to -7 the distance is 4 (-3--7=4). Midpoint means that point -3 bisects the segment into two equal parts. So, the other endpoint is 4 units away from -3. Since -3+4=1, 1 is answer.

PLEASEEEE HELPOOOOOOO

Answers

Answer:

The answer would be the purple line

and if I am wrong I think it is the red line

Step-by-step explanation:

Because our slope is -2 and the point is (-1,2)

the equation of the graphed line would be [tex]y = -2x[/tex] which is a linear equation

and the formula for the linear equation is [tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept and because we don't have a y-intercept the equation will look like y=-2x

there are 30 students in Mr. Robert's classroom. 45% of the students ride the bus how many students ride the buss?

Answers

Answer:

About 13 students

Step-by-step explanation:

30*45%=13.5

13.5<14

How to multiply decimal numbers.

Answers

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Step-by-step explanation: Hope it helps!!!!

Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the next date they will both jog on the path?

Answers

Answer:

The next day they will both run on the path is July 27th.

We can find this by making columns writing every date and seeing when they intersect.

4                    5

8                   10

12                  15

16                 20

20

We can then add this to the current date to find the date they will next run together.

Step-by-step explanation:

hope this helps. . . <3

good luck!      UwU

Nine more than the quotient of two and a number xxx. PLEASE HELP ME FAST

Answers

Quotient of 2 and x is   2/x

nine more than 2/x is = 9+ (2/x)

so therefore, we have 9 + 2/x

hope this helps :)

                                     

Which ratio is equivalent to 5:9?
O 10:36
O 10:27
O 20:27
O 20:36

Answers

Answer: 20:36. Explanation: If you multiply 5 and 9 by 4, you will get 20 and 36!
20:36 because 5•4=20 and 9•4=36

Walter used the iterative process to determine that âš13 is between 3. 61 and 3. 62. Analyze Walter’s estimation. Is he correct? If not, what was his mistake? Yes, Walter is correct. No, 3. 612 is less than 13. No, both 3. 612 and 3. 622 are greater than 13. No, both 3. 612 and 3. 622 are less than 13.

Answers

Iterative is used when the equations cannot be solved simply.

The given value is put in the equation to solve.

Walter estimation is incorrect.

No, both 3. 61^2 and 3. 62^2 are greater than 13.

First he checks that is 13 between 3.61 and 3.62.

But suppose he cannot because he wants to use iteration.

Suppose he squares both the numbers 3.61 and 3.62 to determine if 13 is between the two numbers.

3.61² = 13.0321  and

3.62² =13.1044

We see that when both the numbers are squared then the answer in each case is greater than 13.

Therefore 13 cannot lie as both numbers are greater than 13.

Hence 13 does not lie between 3.61 and 3.62

From the given choices the best choice is  No, both 3. 61^2 and 3. 62^2 are greater than 13.

The iterative can also be understood by the following links.

https://brainly.com/question/5236989

https://brainly.com/question/20275487

How to divide long division with decimals.

Answers

Answer:

If the number your dividing has a decimal, move the decimal point all the way to the right, counting how many spaces you have moved it. Then, move the decimal point in the number you're dividing the same number of places to the right.

Step-by-step explanation:

Describe the transformation from the parent function: y = x.
y = 1/2x

Answers

The slope has changed from 1 to 1/2

what is the sum of the polynomials
(8x^2-9y^2-4x) + (x^2-3y^2-7x)

Answers

9x^2-12y^2-11x is the answer!

Hope this helps.

Step by step:

Just ask! I will add it here :)

Answer:

[tex]9x^{2} - 12y^{2} - 11x[/tex]

Step-by-step explanation:

[tex](8x^{2} - 9y^{2} - 4x) + (x^{2} - 3y^{2} -7x)\\(8x^{2} + x^{2} ) + (-9y^{2} - 3y^{2} ) + (-4x - 7x)\\9x^{2} - 12y^{2} - 11x[/tex]

In the first step, I rearranged the equation and put like terms together.

Then I just combined the like terms.

I hope this helps!

What is 5796÷25 show working ​

Answers

Answer:

231.84

Step-by-step explanation:

I don't know but use a calculator

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