Therefore, using Gaussian Quadrature with 4 nodes, the value of the integral ∫ sin(x)dx from -4 to 1 is approximately 0.003635.
To evaluate the given integral using Gaussian Quadrature with 4 nodes, we need to follow these steps:
Step 1: Convert the integral to the standard form: ∫ f(x)dx ≈ ∑wi f(xi)
where wi are the weights and xi are the nodes.
Step 2: Determine the weights and nodes using the Gaussian Quadrature formula for n = 4:
wi = ci/[(1-xi^2)*[P3(xi)]^2]
where ci are the normalization constants and P3(xi) is the Legendre polynomial of degree 3 evaluated at xi.
Using a table of values for the Legendre polynomials, we can find the nodes and weights for n = 4:
c1 = c2 = c3 = c4 = 1
x1 = -0.861136, w1 = 0.347855
x2 = -0.339981, w2 = 0.652145
x3 = 0.339981, w3 = 0.652145
x4 = 0.861136, w4 = 0.347855
Step 3: Evaluate the integral using the weights and nodes:
∫ sin(x)dx from -4 to 1 ≈ w1f(x1) + w2f(x2) + w3f(x3) + w4f(x4)
≈ 0.347855sin(-0.861136) + 0.652145sin(-0.339981) + 0.652145sin(0.339981) + 0.347855sin(0.861136)
≈ 0.003635
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21.4 rounded to hundredths place
Answer:
21.40 or 21.40, it's rounded to the same number
Step-by-step explanation:
Answer the photo below thanks
Answer: that is a rectangle
Step-by-step explanation:
Answer:
Rectangle , is correct answer of this question
From the set (76, 77, 78), use substitution to determine which value of x makes the equation true
4x= 304
A.78
B.none of these
C.76
D.77
Answer fast! Please
Answer:
The answer is C.
Step-by-step explanation:
Multiply 4 by 76, 77, and 78.
4 * 76 = 304
4 * 77 = 308
4 * 78 = 312
304 = 304, so C is the correct answer.
Hope this helps!
Write the linear equation in slope-intercept form given the following:
(-3, 7) and (6, -8)
Answer:
y = - [tex]\frac{5}{3}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)
m = [tex]\frac{-8-7}{6+3}[/tex] = [tex]\frac{-15}{9}[/tex] = - [tex]\frac{5}{3}[/tex] , then
y = - [tex]\frac{5}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (6, - 8) , then
- 8 = - 10 + c ⇒ c = - 8 + 10 = 2
y = - [tex]\frac{5}{3}[/tex] x + 2 ← equation of line
if the line y=5x was graphed, what would the x coordinate be when y=14?
Answer:
X=2.8 when y =14
Step-by-step explanation:
[tex]5x = 14 \\ x = \frac{14}{5} \\ x = 2.8 [/tex]
Mrs. Safar purchases a bedroom set for $1600. Five percent sales tax is added to the purchase price and she must also pay a $60 delivery fee. If Mrs. Safar pays for the total cost of the bedroom set in 12 equal payments, how much is each payment? MAFS.7.EE.2.3
If the cos 90° = 0, then the sin 0° = _____.
pls help
Answer:
I think its 0
Step-by-step explanation:
Answer:
This one too clicked by me
Susan graphed a system of equations for the lines y = 3x + 1 and y = 3x - 10. Which statement is true about Susan's lines?
The lines intersect once at a right angle because they are perpendicular.
The lines intersect at all points because they are the same line.
The lines intersect three times because each has a slope of three.
The lines do not intersect because they are parallel and have different y-intercepts.
Answer: The lines do not intersect because they are parallel and have different y-intercepts.
Step-by-step explanation:
What's the slope of the graph
Answer:
1/-2
Step-by-step explanation:
To find the slope:
rise/run
From point to point
So....
From (-1,0)
you go up 2(2)
then left 4(-4)
to get to (-5,2)
so 2/-4 reduced is 1/-2
On a certain hot summer's day, 234 people used the public swimming pool. The
daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled
$435.00. How many children and how many adults swam at the public pool that day?
Step-by-step explanation:
I need help getting started
i need help! Please someone i’ll give brainliest!
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
7j2 + 3j2 + j?
Answer:
10j^2 +j
Step-by-step explanation:
I added the first two terms since they have the same exponent and then left the j because its not squared or anything
There are three rows of VIP seats in each section. Each row
has 12 seats and there are 16 sections. How many VIP seats
are there in all?
Answer:
The answer is 576 seats
Step-by-step explanation:
3 rows x 12 seats = 36 seats in one section
36 seats in one section x 16 sections = 576 seats
what is the median of 9.3 an 6.8?????
Answer:
Désolé mec mais je n'ai pas compris ta question
A cone has a volume of 47.1 cm³ and a radius of 3 cm what is its height?
Radius of cone ( r ) = 3 cm,
Curved surface area of a cone= 47.1 cm²
Curved surface area of a cone= πrl
47.1 = πrl
47.1 = 3.14 × 3 × l
l = 47.1 / (3.14 × 3)
l = 15.7 / 3.14= 1570/314= 5 cm
slant height (l) = 5 cm
Height of a cone (h) = √(l²) - (r²)
h = √ 5² -3²
h = √ 25 - 9 = √ 16 = 4 cm
h = 4 cm
Volume of cone= ⅓(πr²h)
= ⅓(3.14 × 3 × 3 × 4)
= 3.14 × 12= 37.68 cm³
Hence, the volume of a cone is 37.68 cm³.
Find the missing length indicated.
Pls Help
PLEASE HELP URGENT
Hank's age is 5 more than three times John's age. Hank
is 29 years old. How old is John?
Albert mixes 10 grams of 15% sugar syrup and 25 grams of 10% sugar syrup. C What is the concentration of sugar in the mixture?
Answer:
4
Step-by-step explanation:
Given :
10 grams of 15% sugar syrup;
25 grams of 10% sugar syrup
Therefore,
(10grams * (15/100)) + (25 grams * (10/100))
(10 * 0.15) + (25 * 0.1)
1.5 + 2.5
= 4 grams
Find axis of symmetry for – 3x^2 - 4x + 5
Answer:
x= -2/3
Step-by-step explanation:
Miranda's math certificate is 8 inches tall and 13 inches wide. Miranda wants to put the certificate in a fancy frame that costs $1.00 per inch. How much will it cost to frame Miranda's math certificate?
$104
$42
$21
$29
PLS PLS HELP ASAP I WILL MARK BRAINLIEST
Using the given equation find the missing coordinates of the points and then find the slope of the line for the equation.
y=3.5x+4; A(...;5), B(10;...)
Okay so,
A (0.2875; 5), B (10; 39)
THE SLOPE IS 3.5
(Look at photo for reference)
Answer:
B
Step-by-step explanation:
6% is usually represented by 0.06
Hope this helped :)
Decide wether the function is linear or nonlinear.
Linear function
Nonlinear function
choose the answer that represents the product below as an exponential expression*
Answer:
B
Step-by-step explanation:
the bases are the same and according to exponential laws exponents of the same base are added
Answer:
B
Step-by-step explanation:
write the slope intercept form of the equation of the line through the given points (0,4) and (-5,5)
Shay wants to buy a bag of honey crisp apples. One bag has a cost of $6.00. If there are 12 apples in each bag, what is the unit price per apple? Show your work. please help ill mark brainliest
Answer:
50 cents per apple
Step-by-step explanation:
to find the unit price you have to divide the total cost by number of apples
6.00÷12=0.5
PLEASE HURRY!!!
The probability of landing on blue when spinning a spinner is 4/5 choose the likelihood that best describes the probability of this event
A. Neither likely nor unlikely
B. Unlikely
C. Certain
D. Likely
Answer:likely tell me if im wrong
Probability helps us to know the chances of an event occurring. The likelihood that best describes the probability of this event is Likely.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given the probability of landing on blue when spinning a spinner is 4/5, therefore, there are 80% chances that the spinner will land on blue.
Hence, the likelihood that best describes the probability of this event is Likely.
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algebra 1 Solve number 10 !!!
Answer:
0.06x + 0.15y = 69.84
x = (69.84 - 0.15y) / 0.06
y = (69.84 - 0.06x) / 0.15
x + y = 852
((69.84 - 0.15y) / 0.06) + y = 852
y = ?
(I'm not trying to give you the answer but guide you how to do it)
Santino pays $36.85 for eleven 10-count boxes of granola bars. How much does 1 box of granola bars cost?
Answer:
One box of granola bars costs $3.35.
Step-by-step explanation:
36.85/11=3.35