Answers
Answer:
1. y' = 3x² / 4y²
2. y'' = 3x/8y⁵[(4y³ – 3x³)]
Step-by-step explanation:
From the question given above, the following data were obtained:
3x³ – 4y³ = 4
y' =?
y'' =?
1. Determination of y'
To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:
3x³ – 4y³ = 4
Differentiate
9x² – 12y²dy/dx = 0
Rearrange
12y²dy/dx = 9x²
Divide both side by 12y²
dy/dx = 9x² / 12y²
dy/dx = 3x² / 4y²
y' = 3x² / 4y²
2. Determination of y''
To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:
3x² / 4y²
Let:
u = 3x²
v = 4y²
Find u' and v'
u' = 6x
v' = 8ydy/dx
Applying quotient rule
y'' = [vu' – uv'] / v²
y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²
y'' = [24xy² – 24x²ydy/dx] / 16y⁴
Recall:
dy/dx = 3x² / 4y²
y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴
y'' = [24xy² – 18x⁴/y] / 16y⁴
y'' = 1/16y⁴[24xy² – 18x⁴/y]
y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]
y'' = 1/16y⁵[(24xy³ – 18x⁴)]
y'' = 6x/16y⁵[(4y³ – 3x³)]
y'' = 3x/8y⁵[(4y³ – 3x³)]
Related Questions
please help me with this.
Answers
Answer:
Slope=3
Step-by-step explanation:
slope is rise over run, or (y2)-(y1)/(x2)-(x1)
You earn $42 for washing 7 cars. How much do you earn for washing one car? How much do you earn for washing 3 cars? How much do you earn for washing 5 cars?
Answers
Answer:
1 car = $6 ; 3 car = $18 ; 5car = $30
Step-by-step explanation:
$ 42 = 7 cars
so 1 car = $42÷7 = $6
so 3 cars = 3 × $6 = $18
so 5 cars = 5 × $6 = $30
Hope this helps you.
Give the coordinates of the point obtained from each reflection. (a) Reflect the point (-3, 7) across the y-axis: 00 (b) Reflect the point (-3, 7) across the x-axis: (01)
Answers
Answer:
a) Rule for reflection across y - axis:
(x, y) → (-x, y)(-3, 7) → (3, 7)b) Rule for reflection across x - axis:
(x, y) → (x, -y)(-3, 7) → (-3, -7)if you get the right answer 5 starr review
Answers
Answer:
C
Step-by-step explanation:
What is the image of (-9,0) after a reflection over the x-axis?
Answers
Answer:
(-9, 0)
Step-by-step explanation:
When a point is reflected over the x-axis, the x-coordinate stays the same but the y-coordinate turns into its opposite. So, the x-coordinate would stay as -9. Because zero is neither negative nor positive, it doesn't have an opposite. So, the y-coordinate would still be 0.
please help me asap!!
Answers
Answer:
35
Step-by-step explanation:
what I did was add GJ together and imaged it in my head to see if it would fit... I'm not sure tho
Jdmd I eu to the form that
Which of the following values is equal to – (–8.2)? (3 points)
a
−8.2
b
0
c
8
d
8.2
Answers
Answer:
192-11
13×6
11-10
Cevap Bu Kadar Yaani
what's the radius for r=13 mm?
Answers
Step-by-step explanation:
14 mm³ because the radius is this
A rectangular box without a top is have a volume of 12 cubic feet. Find the dimensions of
the box that will have minimum surface area.
Answers
We treat A as a function of the variables and b and equating its partial derivatives with respect to a and b to 0. This gives {-64/(a^2)}+b=0, which means b=64/a^2. Since A(a,b) is symmetric in a and b, partial differentiation with respect to b gives a=64/b^2, ==>a=64[(a^2)/64}^2 =(a^4)/64. From this we get a=0 or a^3=64, which has the only real solution a=4. From the above relations or by symmetry, we get b=0 or b=4. For a=0 or b=0, the value of V is 0 and so are inadmissible. For a=4=b, we get h=32/ab =32/16 = 2.
Therefore the box has length and breadth as 4 ft each and a height of 2 ft.
A truck driver drove 13 hours and earned $520. What is the hourly rate?
Answers
Answer:
$40
Step-by-step explanation:
520/13=40
Answer:
Step-by-step explanation:
[tex]\frac{\$ 520}{13hr}=\$40/hr[/tex]
Help me out with one as well too please
Answers
Answer:
107° is answer
x+73=180(cointerior angle)
x=180-73=107°
When playing the roulette at a casino, you have exactly 1/35 chance of winning in each round if you play a single number. Your friend has rigged up some fireworks to be set off when you win. When you win, he sets off the fireworks every time. When you don't win, he accidentally sets off the fireworks 10% of the time. If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?
Answers
Answer:
0.2275 = 22.75% probability that you actually won that round
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: Fireworks going off
Event B: You won
Probability of fireworks going off.
100% of 1/35 = 0.0286(when you win)
10% of 34/35 = 0.9714(you lost). So
[tex]P(A) = 0.0286 + 0.1*0.9714 = 0.12574[/tex]
Probability of you winning and fireworks going off:
100% of 1/35, so [tex]P(A \cap B) = 0.0286[/tex]
If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0286}{0.12574} = 0.2275[/tex]
0.2275 = 22.75% probability that you actually won that round
Help&EXPLAIN
Don’t use for points
I’ll report
Answers
Answer:
x = 20
Step-by-step explanation:
The picture shows that there is a right angle (this is indicated by the square in between the two straight lines)
every right angle has a total measure of 90 degrees
knowing this we can say: x + 70 = 90 or x = 90 - 70
either way, you would solve this to get x = 20
Jamie is standing next to a tree. She is 5.5 feet tall, and her shadow is 2 feet long. The tree's shadow is 12 feet long. Explain how she can use the shadows to find the height of the tree...
Answers
Answer:
Step-by-step explanation:
Because of similar triangles formed we can say
h/12=5.5/2
h=66/2
h=33ft
Let U = {c, d, e, f, g, h, i) and A = {c, e, h, i). Use the roster method to write the set A'.
A' =
(Use a comma to separate answers as needed.)
HELP MEEE
Answers
Given:
The universal set is
U = {c, d, e, f, g, h, i}
The other set is
A = {c, e, h, i}
To find:
The set A'
Solution:
We know that,
Complement of a set A = Universal set - set A
A' = U - A
= {c, d, e, f, g, h, i} - {c, e, h, i}
= {d, f, g}
Therefore, the set A' is A' = {d, f, g}.
Which of the following could be the side measures of a right triangle?
A. 6ft, 5ft, 4ft C. 10ft, 8ft, 6ft
B. 8ft, 7ft, 6ft D. 12ft, 10ft, 8ft
Answers
Answer:
I don't know
Step-by-step explanation:
I'm just downloaded it
Factor the expression using the GCF. 25b+50
Answers
Please tell me the answers
Answers
Answer:
Q1) a
Q2) d
Q3)a
Q4)c
Q5) cant see options
Pls help I’ll brainlest
Answers
Answer:
4
Step-by-step explanation:
the answer is
Multiply by 4
Select all the options that represent different forms of the number 500,368? A. Five hundred, three thousand, and sixty-eight B. Five hundred thousand, three hundred sixty-eight. C. 5,000 + 300 + 60 + 8 D. 5 hundred thousands + 3 hundreds + 6 tens + 8 ones E. 500,000 + 300 + 60 + 8
Answers
Answer:
B, D, and E
Step-by-step explanation:
B. Five hundred thousand = 500,000/ three hundred = 300/ sixty-eight = 68.
D. 5 hundred thousands = 500,000/ 3 hundreds = 300/ 6 tens = 60/ 8 ones = 8.
E. 500,000 + 300 + 60 + 8 = 500,368.
PLEASE HELP
SOLVE THE EQUATION USING ELIMINATION
3x+8y=-5
-2x+2y=18
Answers
X=-7 and y=2
If you are driving at 65 miles per hour how long would it take youth to drive 400 miles?
Answers
-x²-2x+7=-17 help lol
Answers
Noah is painting boxes that are all the same size. He used 2 ounces of paint to cover 1 2/3 boxes. How many ounces of paint are needed to cover 1 box? Draw a diagram to represent the situation, then find the answer.
Answers
Answer:
2:1 2/3
?oz:1/3. How many oz does it take to cover 1/3 of the box?
0.4:1/3. 0.4oz is needed to cover 1/3 of the box.
1/3*3=1. 0.4*3=1.2 *= multiplication
I believe the answer Is: 1.2oz is needed to cover 1 box. The information here should help you the diagram.
Noah needs 1.2 ounces of paint to cover 1 box.
Given that Noah is painting boxes that are all the same size, and I have used 2 ounces of paint to cover 1 2/3 boxes, to determine how many ounces of paint are needed to cover 1 box, the following calculation must be performed:
1.666 = 2 1 = X 2 / 1,666 = X 1.2 = X
Therefore, Noah needs 1.2 ounces of paint to cover 1 box.
Learn more about maths in https://brainly.com/question/26175800
find the unit rate 39 plates in 3 stacks =plates per stack
Answers
Answer:
13 plates per stalkStep-by-step explanation:
plz follow me
Answer:
13 plates in one stack.
Step-by-step explanation:
If you divide 39 (the plates) amongst the 3 stacks, you get 13.
Find the simple interest earned on a four year CD on a deposit of $2,000.00 with an interest rate of 2.25%. Show all work.
Answers
Answer:
$2.19
Step-by-step explanation:
Answer:
I=2000×2.25%×4
I=180
For the
expression y + 6-3 determine the coefficient for the variable term.
(2 points)
Answers
Answer:
The answer is 1.
Step-by-step explanation:
The number is usually in front of the variable, if there is no number, it is a 1.
Need to do this Help please
Answers
Answer:
Step-by-step explanation:
Now e have two figures
1 is ABCD and other is APQD ,
Now to find g and f,
Now the are both figure is ,
Area = length * width
Area ABCD = 39 cm^2
AB* BC = 39
(g+7) * ( f) = 39Again,
Area APQD = AP*QD= 16 cm ^2
(g)*(f)=16from here f =16/g putt it in above equation we get ,
(g+7)*16/g = 39
16*g-39*g+96 =0
-23g +96 = 0
g = 96/23
g =3 cm
Now for f putt in one of the above equation ,
f =16/3
f =5.33 cm
Answer:
f = 3cm g = 6cm
Step-by-step explanation: to find f
Subtract the area of APQD from ABCD then divide by 7
f = (39 - 18)/7
f = 21/7
f = 3
To find g, divide the area of APQD by 3
18/3 = 6
We can do this because of the givens: ABCD is a rectangle, PQ is parallel to AD, so BC=AD=PQ
write two prime numbers whose difference is 10?
Answers
Prime numbers : A whole number greater than 1 that can not be made by multiplying other whole numbers Prime numbers between 1 to 100 : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97 So, The two numbers whose difference is 10 are 13 and 23 23-13=10
r/3 - 9 >= -2
how do i do this?
Answers
Answer:
r >=21
Step-by-step explanation:
r/3-9>=-2
r/3>= -2+9
r/3 >= 7
r>=7*3
r>=21