[tex]y' = (x\sqrt{(a^2-x^2 )} / y) * (\sqrt{(a^2-x^2 -x^2)/\sqrt{(a^2-x^2 ) - x^2 / (a^2-x^2)[/tex] is the relationship between the fluxions for the given equation, using Newton's rules.
Isaac Newton created a primitive type of calculus called fluxions. Newton's Fluxion Rules were a set of guidelines for employing fluxions to find the derivatives of functions. These guidelines served as a crucial foundation for the modern conception of calculus and paved the path for the creation of the derivative.
To find the relationship of the fluxions using Newton's rules for the equation[tex]y^2-a^2-x\sqrt{√(a^2-x^2 )} =0[/tex], we first need to express z in terms of x and y. We are given that z=x√(a^2-x^2 ), so we can write:
[tex]z' = (\sqrt{(a^2-x^2 )} -x^2/\sqrt{(a^2-x^2 ))} y' + x/\sqrt{(a^2-x^2 )} * (-2x)[/tex]
Next, we can use Newton's rules to find the relationship between the fluxions:
y/y' = -Fz/Fy = -(-2z) / (2y) = z/y
y' = z'/y - z/y^2 * y'
Substituting the expressions for z and z' that we found earlier, we get:
[tex]y' = (x\sqrt{(a^2-x^2 )} / y) * (\sqrt{(a^2-x^2 -x^2)/\sqrt{(a^2-x^2 ) - x^2 / (a^2-x^2)[/tex]
This is the relationship between the fluxions for the given equation, using Newton's rules.
Learn more about Newton here:
https://brainly.com/question/11221441
#SPJ11
Lucas and Mitchell were asked to add the numbers 3.54 and 12.09.
Lucas stated that he completed the addition problem by using the following method:
First, I broke the numbers apart. I broke 3.54 into 3.00+0.50+0.04 and 12.09 into 12.00+0.09.
Then, I combined 0.04 and 0.09 to get 0.13.
Next, I combined 0.13 and 0.50 to get 0.63.
Then, I combined 3.00+12.00 to get 15.00.
Finally, I added the decimal to get 15.63.
Mitchell stated that he completed the addition problem by using the following method:
First, I added the whole numbers to get 3.00+12.00=15.00.
Next, I added the numbers in the tenths place, 0.50+0.00=0.50.
Then, I added the numbers in the hundredths place, 0.04+0.09=0.013.
I then added 0.50 and 0.013 to get 0.513.
Lastly, I added the decimal to the whole number to get 15.513.
Determine if Lucas and/or Mitchell had a flaw in their method. If they did, correct the flaw(s) so that both the methods used are correct. PLZ ANSWER THE QUESTION!
Answer:
0.22
Step-by-step explanation:
What is the solution to the equation 1/3 n =6
Answer:
n=18
Step-by-step explanation:
I need help with this
Answer:
3.5
Step-by-step explanation:
the median is the dotted lines.
median of girls height: 65.5
median of boys height: 69
69-65.5=3.5
-12x = 3(y - 3)
y = ___
A a. AAnswer:
kid thanks
Step-by-step explanation: kk k k
URGENT!!!!!!
Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer.1 inch ≈ 1.578 × 10 -5 miles.
Answer: The number of inches in 1225 miles is [tex]7.763\times 10^7[/tex]
Step-by-step explanation:
Scientific notation is defined as the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.
Example: 3000 is written as [tex]3.0\times 10^3[/tex]
Given : [tex]1.578\times 10^{-5}[/tex] miles = 1 inch
Thus 1 mile = [tex]\frac{1}{1.578\times 10^{-5}}=0.634\times 10^5[/tex] inches
1225 miles = [tex]\frac{0.634\times 10^5}{1}\times 1225=776.3\times 10^{5}=7.763\times 10^7[/tex] inches
M is the midpoint of AB. If A ( 4,0) and M (2, 1.5), then find the coordinates of B
Answer:
Step-by-step explanation:
(4 + x)/2 = 2
4 + x = 4
x = 0
(x + 0)/2 = 1.5
x + 0 = 3
x = 3
(0, 3)
answer is C
Anybody good in geometry?
Answer:
A) <6, 2>
Step-by-step explanation:
Moves along x-axis to the right six units. Moves along y-axis upward two units.
Answer:
which vector translated the triangle to its image?
A. < 6 , 2 >
write a active sentence then rewrite it as a passive
Hey there!
The answer is, for active, "Carla drove Emily to the theater," and, for passive, "Emily was driven to the theater by Carla."
Have a nice day :)
Write a polynomial in standard form that represents the area of the shaded region.
Answer:
Area of the smaller square is x * x, which is x^2
Area of the larger square is (x + 7)(x + 7), which is x^2 + 14x + 49
The area of the shaded area = Area of the larger square - Area of the smaller square
Area of the shaded region = x^2 + 14x + 49 - x^2
Area of the shaded region is 14x + 49.
Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system?
No solutions
Infinite solutions
(32)
(9,2)
It's urgent, Please answer, Make Sure you Round it
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
460, 451,442
Find the 37th term.
Answer:
136
Step-by-step explanation:
This is an arithmetic sequence
The formula is an = a1 + f × (n-1)
n= the number we are trying to find = 37
a= the number in any given space on the sequence
a1= 460
f= the common difference between the numbers
f= -9 because you subtract 9 from each to get the number
a37= 460-9(37-1)
a37= 460-9(36)
a37= 460- 324
a37= 136
[tex] \\ [/tex]
The first three terms of a sequence are 460, 451, 442[tex] \\ [/tex]
To Find :[tex] \\ [/tex]
37th term of sequence = ?[tex] \\ [/tex]
Solution :[tex] \\ [/tex]
Clearly these three terms are making an arithmetic sequence, with :
First term, a = 460 Common difference, d = 451 - 460 = - 9[tex] \\ [/tex]
Now, we have to find 37th term of sequence = [tex] \tt a_{37}[/tex]
[tex] \\ [/tex]
Now, we know that :
[tex] \large \underline{\boxed{\bf{a_{n} = a + (n-1)d}}}[/tex]
[tex] \\ [/tex]
[tex] \tt : \implies a_{37} = a + (37-1)d[/tex]
[tex] \tt : \implies a_{37} = a + 36d[/tex]
[tex] \\ [/tex]
Now, by substituting values of a and d :
[tex] \tt : \implies a_{37} = 460 + 36 \times (-9)[/tex]
[tex] \tt : \implies a_{37} = 460 - 324[/tex]
[tex] \tt : \implies a_{37} = 136[/tex]
[tex] \\ [/tex]
Hence, value of 37th term of given sequence is 136.
Is 3x-22=-3x+8 no solution?
It has one solution which is X=5
Hope this helps
Have a great day/night
Feel free to ask any questions
Please help! Thank tou
Answer:
220mL
780mL
600mL
480mL
Step-by-step explanation:
500-280=220
500+280=780
280/8=35, so 35 mL is in one L, 35x5=175
875-175=600
750-280=480
Answer:
Step-by-step explanation:
What is (f + g)(x)?
f(x) = -4x
g(x) = -x^2 + 6x
Work out, giving your answer in its simplest form:
4/7 divided by 2 1/3
Answer:
12/49
Step-by-step explanation:
First write 2 1/3 as a improper fraction, to do that, first multiply the 2 by the denominator, then add it with the 1, which will result in 7/3
when doing division of fraction you have to remember this, KFG
KFG: Keep Flip Change
you keep the first number or fraction, which is 4/7
then you flip the sign, so you change division in to multiplication
after that, you change or write the reciprocal of the second number or fraction, so 7/3 will be 3/7
Now the equation is
4/7 times 3/7, which is 12/49
WHERE ARE THE BLACK DOTS LOCATED?!?
Answer:
The first one (on the bottom) is (2, -3)
The second one (the top one) is (-1, 3)
Answer:
(-1, 3) and (2, -3)
Step-by-step explanation:
The x-value always goes first and the second is always the y-value.
Pls help me with this problem
Answer:
A is going to be 2.80
B is going to be 0.7
C points (1,0.70)
D he is buying four pounds of flour because you always put the x at the bottom and y at the top
E it will be 6.3
Step-by-step explanation:
Hope this Helped
AnswerA is going to be 2.80
B is going to be 0.7 this is all I know
Step-by-step explanation:
Solve for x.
5/7x + 1/7= 63
Answer:
x=88
Step-by-step explanation:
Answer: x=88
Step-by-step explanation:
An 8th-grade class washed cars and pets to raise money for a children’s hospital. They charged $10 to wash a car and $5 to wash a pet. They raised $1,600 in one week, washing a total of 201 cars and pets. How much more money was raised washing cars than pets?
$1,399
$1,190
$780
$410
Answer:
780
Step-by-step explanation:
the answer is 780
Answer: 780
Step-by-step explanation:
WHATS THE ANSWER TO THIS PLS TIME IS RUNNING OUT
Answer:
ectangles, rhombuses (also called rhombi) and squares are all more specific versions of parallelograms, also called special parallelograms. A quadrilateral is a rectangle if and only if it has four right (congruent) angles.
Step-by-step explanation:
i hope it's right
anlatarak cozmicekseniz cevaplamayin:)
Area of a room is 500m square. The cupboard takes 6% of the room’s area
a:what is the area of the cupboard
b:The table is 1/10 of the room. Calculate the area of the table.
c: bed has an area of 110m square. What is the percentage of the room is the bed?
Step-by-step explanation:
step 1. 500(.06) = 30m^2 (area of cupboard)
step 2. 500(1/10) = 50m^2 (area of table)
step 3. 110/500 = .22 = 22% (percentage of the bed area in the room).
write the following decimals in the form of p\ q= 0 and p,q are con-primes 1) 15.265
Given:
The decimal number is 15.265.
To find:
The decimals in the form of [tex]\dfrac{p}{q}[/tex] and p,q are co-primes.
Solution:
Let the decimal number be [tex]x=15.265[/tex].
It can be rewritten as
[tex]x=15.265\times \dfrac{1000}{1000}[/tex]
[tex]x=\dfrac{15265}{1000}[/tex]
[tex]x=\dfrac{5\times 3053}{5\times 200}[/tex]
Cancel out the common factors.
[tex]x=\dfrac{3053}{200}[/tex]
Here, p=3053 and q=200 and the HCF of (p,q) is 1. So, p and q are co-primes.
Therefore, the requited fraction form is [tex]\dfrac{3053}{200}[/tex].
What is the measurement of angle D
HELP PLS
9514 1404 393
Answer:
68°
Step-by-step explanation:
Alternate interior angles are congruent, so we have ...
123° = d° +55°
d = 123 -55 = 68
Angle D measures 68°.
_____
For those of you inclined to use this answer for other questions, here are the other angles in this figure.
A = 55° . . . . alternate interior with 55°, so congruent
B = C = 180° -123°
B = C = 57°
Select the equivalent expression.
3-5 = ?
HELPPP!!!! 50 points
Answer:
5. 26
6. 11
7. 5, 3, 9, 5 (left to right)
Step-by-step explanation:
5. Plug in the numbers
6. 2x+9=31, 2x=22, x=11
7. Plug numbers in
Hope this helps and please give me Brainliest!
Answer:
5. 26
6. 11
7. 5, 3, 9, 5 (left to right)
Step-by-step explanation:
5. Plug in the numbers
6. 2x+9=31, 2x=22, x=11
7. Plug numbers in
Step-by-step explanation:
perrys bikes rents bikes for $18 plus $4 per hour. Lea paid $42 to rent a bike for how many hours did she rent the bike?
Answer:
5 hours 30 min
Step-by-step explanation:
If the triangle are similar, write a similarity
statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.
Explanation
Answer:
The triangles are similar due to AAA
Step-by-step explanation:
'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.
Then the triangles are similar due to AAA
Somebody help me please
Answer:
The second one
2. Pierre works full time and is paid an hourly rate of $12.50 for 35 hours a week. He is paid for 52
weeks of the year. What are his total earnings for ONE YEAR?
Answer:
$22,750
Step-by-step explanation:
First, find out how much Pierre is paid per week: $12.50 x 35 -> $437.5/week
Then, multiply to find how much he is paid the whole year: $437.5 x 52 -> $22,750