Implicit Differentiation Homework Date Period Problems 1 - 8, Find Dy/Dx By Implicit Differentiation. 1. 8x^2 + Y^2 = 10

Answers

Answer 1

The solution to the implicit differentiation problem is dy/dx = -16x/2y.

To solve this problem, we must use implicit differentiation. This means that we must differentiate both sides of the equation with respect to the independent variable, x. We can do this by taking the derivative of both sides of the equation.

The derivative of 8x^2 is 16x and the derivative of y^2 is 2y dy/dx.

Therefore, the equation becomes: 16x + 2y dy/dx = 0

We can then solve for dy/dx by dividing both sides by 2y, which gives us dy/dx = -16x/2y.

Therefore, the solution to the implicit differentiation problem is dy/dx = -16x/2y.

Learn more about implicit differentiation here:

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Related Questions

Plsss I need help !!!!

Answers

Answer:

acute

Step-by-step explanation:

Answer:

Acute triangle.

Explanation:

All sides are under 90 degrees.

A bit of help if you need it:

Acute: all sides are under 90 degrees

Right: One side is 90 degrees

Obtuse: One side is above 90 degrees

Simplify 9 x (1/3)2 + 3a -10 whereas "a" stands for 5.

(1/3)2 = one third to the power of 2

Answers

Answer:

24

kobeeeeeeeeee

Step-by-step explanation:

Mike's car holds 14 2/5 g of gas, averages 20mpg. About how far can Mike's travel if his tank is 1/4 full?

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Solution :

It is given that :

The car of Mike's can hold = [tex]$14 \frac{2}{5}$[/tex] g of gas.

                                            [tex]$=\frac{72}{5}$[/tex] g of gas

∴ [tex]$=\frac{1}{4} $[/tex] th of [tex]$\frac{72}{5}$[/tex] g of gas is  [tex]$=\frac{1}{4} \times \frac{72}{5}$[/tex]

                                          [tex]$=\frac{18}{5}$[/tex] g of gas

                                         

The average distance that the car can travel when the tank is full is = 20 mpg

∴ In  [tex]$\frac{72}{5}$[/tex] g of gas, the car travels = 20 mpg

   In 1 g of gas, the car travels = [tex]$20 \times \frac{5}{72} $[/tex] mpg

   So in  [tex]$\frac{18}{5}$[/tex] g of gas, the car travels = [tex]$20 \times \frac{5}{72} \times \frac{18}{5} $[/tex] mpg

                                                          = 5 mpg

please help me if you can

Answers

Answer:

the answer would be 12/5

Cross multiply
35x=84
Then divide
Leave it as a fraction

70√201 please give me your answer​

Answers

Answer:

992.42

Step-by-step explanation:

Por un tubo de 2.5 cm de diámetro fluye agua con una repidez de 20 cm/s ¿Cuál es el valor del flujo y el gasto del agua?

Answers

Answer:

El flujo y gasto de agua es aproximadamente 98.175 centímetros cúbicos por segundo.

Step-by-step explanation:

El gasto del agua ([tex]Q[/tex]), medido en centímetros cúbicos por segundo, es el flujo que pasa a través del tubo. La ecuación para determinar el gasto es:

[tex]Q = \frac{\pi}{4}\cdot D^{2}\cdot v[/tex] (1)

Donde:

[tex]D[/tex] - Diámetro del tubo, medido en centímetros.

[tex]v[/tex] - Velocidad del flujo, medida en centímetros por segundo.

Si sabemos que [tex]D = 2.5\,cm[/tex] y [tex]v = 20\,\frac{cm}{s}[/tex], entonces el flujo y gasto del agua es:

[tex]Q = \frac{\pi}{4}\cdot (2.5\,cm)^{2}\cdot \left(20\,\frac{cm}{s} \right)[/tex]

[tex]Q \approx 98.175\,\frac{cm^{3}}{s}[/tex]

El flujo y gasto de agua es aproximadamente 98.175 centímetros cúbicos por segundo.

Solve the following system of equations using Substitution: Submit your answer as an ordered pair. 2x−3y=32x-3y=32x−3y=3 x=y+2x=y+2x=y+2

Answers

9514 1404 393

Answer:

  (3, 1)

Step-by-step explanation:

We assume you want the solution to the system ...

2x−3y=3x=y+2

The second equation gives a nice expression for x, so we can use that in the first equation.

  2(y+2) -3y = 3 . . . . substitute for x in the first equation

  2y +4 -3y = 3 . . . . . eliminate parentheses

  -y = -1 . . . . . . . . . . . collect terms, subtract 4

  y = 1 . . . . . . . . . . . . multiply by -1

  x = 1 +2 = 3 . . . . . . substitute for y in the second equation

The solution is (x, y) = (3, 1).

is 3+5(9+2n)equal to48+5n

Answers

Answer: No
There is no logical way to get ‘5n’

PLEASE HELP WILL MARK BRAINLIEST!!!
Select all that are equivalent to sin∠GFH

Answers

Answer:

I think sin<GEJ IS equivalent to sin∠GFH

All that are equivalent to sin∠GFH is

D) cos(&lt;EGJ)

"Corresponding angles"

sin(&lt;GEJ)cos(&lt;FGH)cos(&lt;EGJ)

From the image JE and HF are parallel.

So angle GFH and angle GEJ are corresponding angles.

So they are equal.

so, sin(&lt;GFH) = sin(&lt;GEJ).

From triangle GFH, &lt;GFH+&lt;FGH = 90.

So, sin(&lt;GFH) =cos(&lt;FGH).

Again &lt;FGH = &lt;EGJ.

So, sin(&lt;GFH) =cos(&lt;EGJ)

All that are equivalent to sin∠GFH is cos(&lt;EGJ).

Thus, the correct answer is D.

Learn more about corresponding angles: https://brainly.com/question/2009183

Sophia learned 10 recipes to create party dishes she learned these recipes in two weeks how many recipes can Sophia learn in five weeks

Answers

25 recipes I think plz tell me in comments what ur is if I’m wrong

Tyrone went to a basketball game and brought a jersey that was on sale at a 30% discount. He also bought a hat that cost $37.89. Tyrone spent a total of $83.39.

Answers

Guessing we need to find the original cost of the jersey?

83.39 - 37.89 = 45.50 is the sale price of the jersey

x - 0.3x = 45.50 (full price minus 30% of the full price)
0.7x = 45.50, divide by 0.7
x = $65

Choose ALL the angles with a measure less that 90 degrees.

Answers

Answer:

Top left    Top middle     Bottom Left       Bottom right

Step-by-step explanation        

If the angle makes an "L" it is a 90 degrees angle or a right angle

If the angle makes a "V" it is less than 90 degrees or an acute angle

If the angle makes a "Stretched out  V" it is more than 90 degrees or an obtuse angle

The option that represents the acute angle will be option A, option B, option D, and option F.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The types of angles are as follows:

If the angle is less than 90° then the angle is known as an acute angle.If the angle is equal to 90° then the angle is known as a right angle.If the angle is more than 90° then the angle is known as an obtuse angle.

Then the option that represents the acute angle will be option A, option B, option D, and option F.

More about the angled link is given below.

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In a cookie jar containing 6 chocolate chip cookies, 8 sugar cookies, and 10 peanut butter cookies, what is the probability that a person who isn’t looking as they pull out one cookie, will get a chocolate chip cookie? express your answer a

Answers

Answer:

25 percent

Step-by-step explanation:

brainliest please

what’s the answer to this ?

Answers

Answer:

the answer to this question is -13x + 13

You are planning a party. Your friend tells you how much she paid $4.50 for three party grab bags. How much will it cost you to buy seven of the grab bags.

Answers

Answer:

10.5

Step-by-step explanation:

4.50 ÷ 3 = 1.5

1.5 × 7 = 10.5

Answer:

$10.50

Step-by-step explanation:

Divide 4.50 by three. (1.5)

Multiply by 7 (10.5)

I hope this helps!

Plz, marl brainliest!

aiudaaa
1. Encierra en un circulo los monomios semejantes.

a. –3x2 + 2yz – 3x² + yx - 6

b. 0.7abc-3ab + 8c - ab + 7abc

C x+1 - 2x" + 6x"-2 8x" + 3x"-2 4x

d. mn – 2m?n + 5m³n* -mn³ + 0.5m2n – 3

e. -8ab - 6a²b² + V3ab + 0.5a?b? + 5ab

2. Reduce los términos semejantes en cada polinomio.

a. 3a-8a + 60-70

b. *y + 6x?y – 0.5x?y

C. ab – 7ab +ab

d. x2n – 2x2n + 6x2n

e. 7xy+6xy3 – xy3

3. Determine el perímetro de las siguientes figuras. 4. Halle el área de la parte sombreada de cada fig​

Answers

Answer:

Traduzca el resto en inglés

Step-by-step explanation:

Simplificando

6x + -2 + 2x = -2 + 4x + 8

Reordenar los términos:

-2 + 6x + 2x = -2 + 4x + 8

Combinar términos semejantes: 6x + 2x = 8x

-2 + 8x = -2 + 4x + 8

Reordenar los términos:

-2 + 8x = -2 + 8 + 4x

Combinar términos semejantes: -2 + 8 = 6

-2 + 8x = 6 + 4x

Solving

-2 + 8x = 6 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-2 + 8x + -4x = 6 + 4x + -4x

Combine like terms: 8x + -4x = 4x

-2 + 4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0

-2 + 4x = 6 + 0

-2 + 4x = 6

Add '2' to each side of the equation.

-2 + 2 + 4x = 6 + 2

Combine like terms: -2 + 2 = 0

0 + 4x = 6 + 2

4x = 6 + 2

Combine like terms: 6 + 2 = 8

4x = 8

Divide each side by '4'.

x = 2

Simplifying

x = 2

Exponent shown below

Answers

I believe that it’s 7^16

7^14*1 * 7^2

x ^ a+b
7^16

Please help..........

Answers

Maybe try

[tex] \frac{z - y}{x} [/tex]

If that doesn't work, tell me.

A destroyer on patrol spots an aircraft at an altitude of 10,000 ft and an angle of elevation of 20⁰. How far is the aircraft from the ship?
Round to the nearest whole number.

Answers

[tex]sin= \frac{opp}{hyp} \\\\sin (20) = \frac{10000}{hyp}\\\\hyp= \frac{10000}{sin(20)} \\\\hyp= 29238 ft[/tex]

The aircraft is 29238 ft from the ship

//

Note: this is based on my assumption that we are looking for the hypotenuse.

If we are looking for the adjacent side, then the answer would be 27475 ft.

Pls help FAST I’m giving brainliest

Answers

The answer to this would be 15-4x

The cactus grill has decided to run a special on Wednesday night where every table gets 10% off their bill find the total for this table

Answers

B? I pretty sure it’s b

Mr. Berger assigned the following system of equations to be solved for homework.

2 x minus 3 y = negative 12. 4 x + y = negative 10.

Which is the x-coordinate of the correct solution?
x = negative 3
x = negative one-fifth
x = StartFraction 9 Over 7 EndFraction
x = 2

Answers

Answer:

x=-3

Step-by-step explanation:

2 x - 3 y = -12.

4 x + y =  -10.

Answer:

X=3

Step-by-step explanation:

Trust me ;))

The price of a television is $567.31. The state sales tax rate is 8.3%.

What is the total cost of the television?

Answers

 

that in the image could be your answer but i rlly dont know thats the way I was taught


The Stock Market Alexander is a stockbroker. He earns 14% commission each week. Last week,
he sold $4,500 worth of stocks. How much did he make last week in commission? If he averages
that same amount each week, how much did he make in commission in 2011?

Answers

I’m pretty sure it’s 33,390

You finish 3/10 of the project. Your friend finishes 2/3 of the project. What fraction of the project is finished??

Answers

Answer:

29/30 of the project is finished

Answer:

29/30, or 0.966...

Step-by-step explanation:

CAN SOME ACTUALLY HELP ME PLEASE!!!!!!!!!!!!!!!!!!

Answers

Answer:

(1, No, No) (2, No, Yes) (3,  6x^2+10) (4, 2x^2-3) (5,  x^2-x) (6, -2x^4+12x+3)

(7,  3x^3+15x^2+20)  (8, 9x^3 + 4x^2+8x)  (9, xy+2x+6y+5) Sorry didn't have an answer for 10. I hope they are all correct sorry for the wait.

Step-by-step explanation:

What is the value of x? 5 + 1/5x = 5

Answers

Pretty sure that’d be 0 or No Solution

Answer:

x = 0

Step-by-step explanation:

5 + 1/5x = 5

Subtract 5 from both sides.

1/5x = 0

Divide both sides by 1/5

x = 0

I hope this helps!

The mid point of a given line segment must lie on the given line segment

true or false

Answers

Answer: The answer is true .

This is a short answer question.
Describe what the graph and equation look like for each of the parent functions.

Answers

Answer:

there you go there's your answers

Step-by-step explanation:

→A parent function is the simplest function of a family of functions. of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II.

€xample→

For example, you can simplify "y=2*sin(x+2)" to "y=sin(x)" or "y=|3x+2|" to "y=|x|." Graph the result. This is the parent function. For example, the parent function for "y=x^+x+1" is just "y=x^2," also known as the quadratic function.

What is a numerical expression? Give an example.

Answers

Answer:

Step-by-step explanation:

The term numerical expression is made up of two words, numerical meaning numbers, and expression meaning phrase. ... A numerical expression in mathematics can be a combination of numbers, integers combined using mathematical operators such as addition, subtraction, multiplication, or division.

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