integral of below.
ſ√y . e^-y^3
Assuming you're equipped with the error function,
[tex]\mathrm{erf}(x)=\displaystyle\frac2{\sqrt\pi}\int_0^x e^{-u^2}\,\mathrm du[/tex]
whose derivative is
[tex]\dfrac{\mathrm d}{\mathrm dx}\mathrm{erf}(x)=\dfrac2{\sqrt\pi}e^{-x^2}[/tex]
by substituting x = √y, so that x ² = y and 2x dx = dy, we have
[tex]\displastyle\int\sqrt y e^{-y^3}\,\mathrm dy=\int 2x^2 e^{-x^6}\,\mathrm dx[/tex]
Then if u = x ³ and du = 3x ² dx, we have
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\int\frac23 e^{-u^2}\,\mathrm du[/tex]
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\frac{\sqrt\pi}3\mathrm{erf}(u)+C[/tex]
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\frac{\sqrt\pi}3\mathrm{erf}(x^3)+C[/tex]
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\boxed{\frac{\sqrt\pi}3\mathrm{erf}\left(y^{\frac32}\right)+C}[/tex]
If you're not familiar with the error function, unfortunately there is no elementary antiderivative...
4 The expression (2x² + 6x + 5)-(6x² + 3x + 5) is
equivalent to
1) 4x2 + 3x
2) 4x2 – 3x
3) 4x2 – 3x + 10
4) 4x2 + 3x - 10
Answer:
1) 4x² + 3x
Step-by-step explanation:
Add/Combine like terms:
2x² - 6x² = -4x²
6x - (+3x) = 3x
5 - (+5) = 0
Simplify: -4x² + 3x
What is 2k2 – 13k – 24 factored
Answer:
(2k+3) (k−8)
Step-by-step explanation:
Rita is making chili. The recipe calls for 4 3/4
cups of tomatoes.
How many cups of tomatoes are used in the recipe? Enter your answer as a fraction greater than 1.
Answer:
5 3/4
Step-by-step explanation:
Answer:
in my opinion i would say.. 4/1 cause how many cups but if im wrong im sorry
Step-by-step explanation:
. A cell phone company has three different production sites. Five percent of the cars from Site 1, 7% from Site 2, and 9% from Site 3 have been recalled due to unexpected shutdown issue. Suppose that 60% of the phones are produced at Site 1, 30% at Site 2, and 10% at Site 3. If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3 (write it up to second decimal place)
Answer:
0.15 = 15% probability that it came from Site 3
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Being recalled
Event B: Recalled from site 3.
Probability of being recalled:
5% of 60%(from site 1)
7% of 30%(from site 2)
9% of 10%(from site 3).
So
[tex]P(A) = 0.05*0.6 + 0.07*0.3 + 0.09*0.1 = 0.06[/tex]
Probability of being recalled, being from site 3.
9% of 10%.
[tex]P(A \cap B) = 0.09*0.1 = 0.009[/tex]
If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.06} = 0.15[/tex]
0.15 = 15% probability that it came from Site 3
Which expressions are equivalent to 2
2 Cx-7)- 22x-5)? Check all that asamy
29
26x-7)+(-3)x= (-5)
20*)-217
) -365 - 31-5)
0 2 0 3x - 217 1 + 1-31 1 / x + 1-3,1-3)
Equivalent expressions are expressions with equal values
The equivalent expression of 2(x-7)- 2(2x-5) is -2x -4
The expression is given as:
2(x-7)- 2(2x-5)
Open the bracket
2(x-7)- 2(2x-5) = 2x - 14 -4x + 10
Collect like terms
2(x-7)- 2(2x-5) = 2x -4x - 14 + 10
Evaluate the like terms
2(x-7)- 2(2x-5) = -2x -4
Hence, the equivalent expression of 2(x-7)- 2(2x-5) is -2x -4
Read more about equivalent expressions at:
https://brainly.com/question/2972832
A plant can grow A inches in B months where a is a non-negative rational number and B is a natural number. the height is proportional to the number of months after the plant is planted. in which to situations would be the constant proportionality be less than one for the equation equals a=kb
Soz I do not know the answer but if you need help I would recommend going to a friend or family member for help if you are still stuck you should consider messaging a teacher via email but if this is urgent and a teacher does not respond you should try to contact him/her using a phone call you should also try getting in contact with other people in the learning facility for example a T.A
I need help with this
Answer:
x = 24.52
Step-by-step explanation:
Since this is a right triangle, use Pythagorean Theorem to solve for the hypotenuse.
Pythagorean Theorem: a² + b² = c²
24² + 5² = x²
576 + 25 = x²
601 = x²
√601 = x
what is 5x46+675-39x45 ?
Answer:
-850
Step-by-step explanation:
you do multiplication first, then do the addition
11+m>15 what’s the answer for this problem?
Answer:
m > 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
11 + m > 15
Step 2: Solve for m
Subtract 11 on both sides: m > 4Here we see that any value m greater than 4 would work as a solution to the inequality.
Write the following number in scientific notation:
4, 332
4.332 x 10³
Step-by-step explanation:
hope it helps!
Vic bought a new plasma TV for $2400. He made a down payment of $200 and then financed the balance through the store. Unfortunately, he was unable to make the first monthly payment and now pays 6% interest per month on the balance (while he watches his TV).
This question is incomplete, the complete question is;
Vic bought a new plasma TV for $2400. He made a down payment of $200 and then financed the balance through the store. Unfortunately, he was unable to make the first monthly payment and now pays 6% interest per month on the balance (while he watches his TV).
What is Vic's Monthly interest payment ( Assume interest rates are 1/12 of annual interest rates)
Answer: Vic's Monthly interest payment is $132
Step-by-step explanation:
Given that;
Purchase cost of plasma Tv = $2400
down payment made = $200
so,
Balance financing from store = $2400 - $200 = $2,200
also given that Interest rate is 6% per month6
Now Monthly interest payment will be;
⇒ financing amount × interest rate
⇒ 2200 × (6/100) = 132
Therefore, Vic's Monthly interest payment is $132
I'm struggling with this math problem. If your good at math plz help me
Poor c cups never had a chance to have a d cup its ok others feel your pain
Answer:
uuuuuuuuuuuuuummmmmmmmmmmmm what
Step-by-step explanation:
5x+y=9
10x-7y=-8
I need help!
Answer:
(11/9, 26/9)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
5x + y = 9
10x - 7y = -8
Step 2: Rewrite Systems
Manipulating: Equation 5x + y = 9
Subtract 5x on both sides: y = 9 - 5xStep 3: Redefine Systems
y = 9 - 5x
10x - 7y = -8
Step 4: Solve for x
Substitution
Substitute in x: 10x - 7(9 - 5x) = -8Distribute -7: 10x - 63 + 35x = -8Combine like terms: 45x - 63 = -8Add 63 on both sides: 45x = 55Divide 45 on both sides: x = 11/9Step 5: Solve for y
Define equation: 5x + y = 9Substitute in x: 5(11/9) + y = 9Multiply: 55/9 + y = 9Isolate y: y = 26/9Latoya can plant 1/3of her garden in 2/5 hour. If she continues working at this rate, what fraction of Latoya’s garden can she plant in one hour?
Answer:
Latoya can plant 5/6 of her garden in one hour.
Step-by-step explanation:
☆We can solve using proportion!
[tex] \frac{ \frac{1}{3 } \: of \: garden }{ \frac{2}{5} \: of \: hour } = \frac{x}{1 \: hour} \\ \\ \frac{ \: \frac { 2}{5}x }{ \frac{2}{5} } = \frac{ \frac{1}{3} }{ \frac{2}{5} } \\ \\ x = \frac{5}{6} [/tex]
Please help. I dont understand how to do this. Enter the coordinates of the vertices of (Ry-axis ∘ r(90°, O))(QRST).
Answer:
I think it's
Q = ( 1 , 3 )
R = ( 3 , 3 )
S = ( 0 , 2 )
T = ( -2 , 1 )
Step-by-step explanation:
please tell me if this is wrong.
Hope this helps!
A hummingbird flaps its wings 8,400 times in 120 seconds. how many times can it flap its wings in 35 seconds?
Answer:
2450 times per minute (if my math is correct)
Step-by-step explanation:
A hummingbird should flap it's wings 2100 times in 30 seconds and 350 times in 5 seconds if you use a table. 2100+350=2450
Answer:
Step-by-step explanation: 8,400 divided by 35.
Two families go to a theatre
Answer:
go and watch a movie together
I GIVEEEE BRAINLILST
Answer:
257cm
Step-by-step explanation:
Can I get brainliest pls
lena orders hats for the school baseball team. she pays 5.41 for shopping how much do each of the hats cost x dollars. if Lena spends 63.23 total order. how much do each of the hats cost
Answer:
$11.69
Step-by-step explanation:
63.23 / 5.41 = 11.6876155
9 - 3 ÷ 1/3 + 1 = ?
whats the answer?
The answer is 1
Step-by-step explanation:
Help please ☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️
Answer:
5/6
Step-by-step explanation:
Answer:
1 1/2 - 2/3 = 5/6
Step-by-step explanation:
I hope i helped ^^
What is the slope of the line
(Picture below)
What would be the slope of the line that passses through 4, 5 and 7, 6
A company manufactures a certain item and sells it online. The company has a business model where the cost C, in dollars, to make x items is given by the equation C=2.5x+21 and the revenue R, in dollars, made by selling x items is given by the equation R=6x. The break even point is the point where the cost and the revenue intersect. How many items must the company sell to break even?
Answer:
see the attachment
Step-by-step explanation:
The break-even point is on both curves. The y-intercept can be used for the other point in each case.
The break-even point is where cost and revenue are the same:
20/3x +50 = 10x
50 = 10/3x . . . . . . . . subtract 20/3x
15 = x . . . . . multiply by 3/10
r = c = 10(15) = 150 . . . . for x = 10
Two points you can use for graphing the lines are ...
cost: (0, 50) and (15, 150)
revenue: (0, 0) and (15, 150)
9514 1404 393
Answer:
6
Step-by-step explanation:
Cost and revenue are equal when ...
C = R
2.5x +21 = 6x
21 = 3.5x . . . . . . subtract 2.5x
6 = x . . . . . . . . . .divide by 3.5
The company must sell 6 items to break even.
One card is selected at random from a deck of cards. Determine the probability that the card selected is a card greater than 3 and less than 8.
Answer:
4/13
Step-by-step explanation:
Count all cards that are 4, 5, 6, and 7 (each of 4 different suits) so the number of cards that is greater than 3 and less than 8 = 4(4) = 16.
There are 52 cards in a standard deck of cards.
P(greater than 3 and less than 8)
= 16/52
= 4/13
The question is:
Which calculation and answer show how to convert 13/16 into a decimal
Answer:
I think the answer is D
Step-by-step explanation:
Answer is D, because if you divide 13 and 15 it gives you 0.8125
Choose the two rectangles that have an area of 18 square centimeters.
6 cm
9 cm
OA
D.
3 cm
2 cm
9 cm
7 cm
B
E
9 cm
2 cm
5 cm
C
4 cm
Answer:
Rectangle ARectangle DStep-by-step explanation:
To find the answer, calculate the area of the rectangles.
Area of rectangle = Length * Width
Rectangle A Rectangle B Rectangle C
= 6 * 3 = 9 * 9 = 5 * 4
= 18 cm² = 81 cm² = 20cm²
Rectangle D Rectangle E
= 9 * 2 = 7 * 2
= 18 cm² = 14 cm²
The two rectangles are therefore A and D.
Question 5(Multiple Choice
PLEASE HELP ME!
Worth 5 points)
(01.02 MC)
Which of the following correctly uses absolute value to show the distance between -80 and 15?
01-80 - 151 = 1-95] = -95 units
01-80 + 15| = |-651 = 65 units
01-80 – 151 = 1-95) = 95 units
01-80 + 15= |-65= -65 units
Answer:01-80 + 15= |-65= -65 units
Step-by-step explanation: