Answers
Step-by-step explanation:
[tex]5. {x}^{3} - xy + {y}^{2} = 4[/tex]
[tex] \frac{dy}{dx} ( {x}^{3} - xy + {y}^{2} ) = \frac{dy}{dx} (4)[/tex]
[tex]3 {x}^{2} - x(1) \frac{dy}{dx} + 1(y) + 2y \frac{dy}{dx} [/tex]
Combine the dy/dx.
[tex] \frac{dy}{dx} ( - x + 2y) + y + 3 {x}^{2} [/tex]
[tex] \frac{dy}{dx} ( - x + 2y) = - 3 {x}^{2} - y[/tex]
[tex] \frac{dy}{dx} = \frac{ - 3 {x}^{2} - y}{ - x + 2y} [/tex]
[tex] \frac{3 {x}^{2} + y }{x - 2y} [/tex]
Answer:
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{y-3x^2}{2y-x}[/tex]
Step-by-step explanation:
using the product rule to differentiate - xy then
3x² - (x[tex]\frac{dy}{dx}[/tex] + y(1) ) + 2y[tex]\frac{dy}{dx}[/tex] = 0
3x² - x[tex]\frac{dy}{dx}[/tex] - y + 2y[tex]\frac{dy}{dx}[/tex] = 0
3x² + [tex]\frac{dy}{dx}[/tex] (2y - x) - y = 0 (subtract 3x² - y from both sides )
[tex]\frac{dy}{dx}[/tex] (2y - x) = y - 3x² ← divide both sides by (2y - x)
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{y-3x^2}{2y-x}[/tex]
Related Questions
calculate the shaded area
Answers
Answer:
42 cm²
Step-by-step explanation:
the length of the shaded area is the length of the white rectangle, that is
length = 7 cm
the width of the blue area is the length of the white rectangle subtract twice the width of the white rectangle, that is
width = 7 - (2 × 0.5) = 7 - 1 = 6 cm
shaded area = length × width = 7 × 6 = 42 cm²
If y=x+4 then what is (x-y)^3
Answers
Answer:
64
Step-by-step explanation:
y = x + 4
y - x = 4
4^3 = 64
Find x if USR is supplementary to RST.
Answers
Answer: 8
Step-by-step explanation:
A ring-shaped region is shown below.
Its inner diameter is 14 yd., and its outer diameter is 20 yd.
Answers
Answer:
160.14yd²
Step-by-step explanation:
first we find both of their areas then we subtract the small one f4om the big one
A=πr²
step 1 find area of large circle
A=3.14×(10²)
A=3.14×100
A=314
step 2 find are of small circle
A=3.14×(7²)
A=3.14×49
A=153.86
step 3 subtract small area from big area
314-153.86=160.14
There are 600 dishes that need to be rinsed. Eric can rinse them in 60 minutes by himself. It will take his friend Reuben 120 minutes to rinse these dishes. How long will it take them if they rinse these 600 dishes together?
Answers
A series of transformations on quadrilateral Y
resulted in quadrilateral Z. The angle measures of
quadrilateral Y are congruent to those of
quadrilateral Z. The side lengths of quadrilateral
Z are twice as long as those of quadrilateral Y.
Which transformation on quadrilateral Y must be
included to result in quadrilateral Z?
Answers
Answer:
reflections Couse it keeps repeating y and z bit not sure
Step-by-step explanation:
I am sorry if it is the wrong answer
35% of 40 is what?
55% of what number is 44?
Answers
Answer:
14
80
Step-by-step explanation:
Answer:
Step-by-step explanation:
35% of 40 is 14
55% of 80 is 44
Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus
Answers
Answer: diameter
Step-by-step explanation:
Answer:
diameter
Step-by-step explanation:
The diameter connects two points on the edge of a circle through it's centre.
The room is a cube with edge length 11 feet including the ceiling in the floor how much surface area must be painted
Answers
Surface area is the area of all the faces added together.
If the area of one face is 11x11=121
Because it is a cube and it has six faces with the same surface area we do 121x6=726 to give us the total surface area.
What is the area of the trapezoidal window below?
Answers:
A: 21m to the second power
B: 25.5m to the second power
C 22.5m at the second power
D: 18m at the second power
Answers
Answer:
B) 25.5 m²
Step-by-step explanation:
The formula to find the area of a trapezoid: 1/2 x (a + b) x h, where a and b are the parallel lines and h is the height.
1) Input the values into the formula, and solve it.
= 1/2 x (5 + 12) x 3
= 1/2 x 17 x 3
= 1/2 x 51
= 25.5
Answer:
B
Step-by-step explanation:
A = (1/2)(3)(5 + 12)
= (1/2)(3)(17)
= (1/2)(51)
= 25.5 m^2
1. Find the sum.
Use tiles to find 29 + 28.
Answers
Answer:
57?
Step-by-step explanation:
Is 1/8 x 20 greater than or less than 20? Please explain!
Answers
Answer:
1/8x20 is less than 20
Step-by-step explanation:
Since we know that 1x20 is equal to 20, and 1/8 is 8 times smaller than 1, we know that 1/8x20 is 20 divided by 8 which is smaller than 20
Select the correct answer
Answers
Answer:
B.
Step-by-step explanation:
it's B because if you put it as a mixed number it would be 21/2 ÷ 9/4 and then the rest is easy
Answer:
B
Step-by-step explanation:
4 2/3
System a
2x+y=5 and -4x+6y=-2
system b
-10x +19y=-1 and -4x+6y=-2
Answers
Answer:
System A: x = 2, y = 1
Points: (2, 1)
System B: x= 2, y = 1
Points: (2, 1)
Step-by-step explanation:
Pls help what is the ratio and how do you find it
Answers
1:1
Step-by-step explanation:
AM= a and MB= b
But M is the midpoint,
Therefore,
a= b (AM= MB)
AM + MB = AB
2AM = AB
AM= AB/2
RATIO OF AM to MB
=
AB/2 : AB/2
= 1:1
Use the model to write the equation that represents the problem. I have one-half of a square and I want to divide it by three-fourths. How many pieces would I have? A) 1 2 ÷ 3 4 = 2 B) 1 2 ÷ 3 4 = 3 C) 1 2 ÷ 3 4 = 2 3 D) 1 2 ÷ 3 4 = 3 2
Answers
Answer:
my oppositions C) 1 2÷3 4=2 3
Fill in the blanks of the sentence.
Answers
Answer:
Step-by-step explanation:
Two angles that are vertical are supplements of the same angle which means the two angles are congruent to each other.
you have -$124 in your checking account. you wrote a $75 dollar check how much money do you have in your account now
Answers
Answer:
There will be 49 dollars in your account
Find the Value of X.
Solve for X
Answers
Answer: x=21
Step-by-step explanation:
50-90=40
40=2x-2
2*21=42
42-2=40
x=21
What is the surface area of the square pyramid?
Enter your answer in the box.
in²
Square pyramid net consisting of a square and four triangles. The square has length and width of eight inches. A triangle has a base of eight inches and a height of eleven inches.
Answers
Answer:
240 in²
Step-by-step explanation:
The surface area of the pyramid is the sum of the areas of the parts of the composite figure comprising the net. That is, it is the sum of the areas of four triangles and a square.
__
FaceThe area of a triangle is ...
A = 1/2bh
For the given triangles, this is ...
A = 1/2(8 in)(11 in) = 44 in²
__
BaseThe area of the square base is ...
A = s²
For the given dimensions, this is ...
A = (8 in)² = 64 in²
__
Total Surface AreaThe sum of the areas of the four faces and the base is ...
total area = 4(44 in²) +64 in² = 240 in²
The surface area of the square pyramid is 240 in².
How much should John get back after paying for purchases totaling $5.45
when he pays $10.00
Answers
What is the tan if x?
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The given triangle is a right triangle, with one of the acute angle measuring 45°
let's calculate x ~
[tex]\qquad \tt \dashrightarrow \:x + 45 + 90 = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:x + 135 = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 180 - 135[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 45 \degree[/tex]
So, tan x is :
[tex]\qquad \tt \dashrightarrow \: \tan(x) = \tan(45 \degree) [/tex]
[ since x = 45° ]
[tex]\qquad \tt \dashrightarrow \: \tan(x) = 1[/tex]
Doug would like to construct a fence
along his property borders. The scale
on his property map is 1 inch to 3 feet.
If the perimeter of his property on the
map is 10 inches, how many feet of
fencing will he need?
[?] feet
Answers
He would need 30 feet of fencing.
Please Help!!! . . . . .
Answers
So first do stuff in parenthesis.
Then do divide because thats next on the list and it happens earlier than the multiply one.
So, A
what is 26.4 ÷ 4.8 i need help
Answers
Answer:
Step-by-step explanation:
Answer: 5.5
Expand 26.4/4.8 by multiplying both numerator and the denominator by 10.
264/48
Reduce the fraction 264/48 to lowest terms by extracting and canceling out 24.
11/2
Factor
11/2=5 1/2=5.5
hope this helps.
Mark me brainliest as well please.
Answer:
i know i said it in the text but it's 5.5
Step-by-step explanation:
Number Concepts 1. Two hundred four thousand, fifteen is written as
Answers
Answer:
204015
Step-by-step explanation:
What is the simple interest rate on a $520
investment that was left in an account for Z
years and earned $83.72 in interest?
Answers
I'm not sure how to find a Wrighteasyrement so how do I find it.
Answers
Response
I'm assuming that by 'wrighteasyrement' you meant weight measurement? If you need a conversion tool you can just look up ___ to ___ on (g-search engine). If you need the initial one, use a scale??? or a formular, you can also look those up, sorry, i'm not really sure what you're asking.
Add This Equation: In Photo...
Answers
Answer:
see below
Step-by-step explanation:
= (5+7) / ( z+1) = 12 / (z+1)
Convert 192 cups to gallons
Answers
Answer:12 gallons
Step-by-step explanation:
There are 16 cups in a gallon 16 cups =1 gallon so 192/16 is 12
Answer:
12 gallons
Step-by-step explanation:
To convert cups to gallons you must divide the volume (192) by 16.
192/16 = 12
12 gallons
Hope this helps:)