please help me
find dy/dx using implicit differentiation
e^((x+y)/4) +tan(ln(x/y)) = e^sqrt(y)

Answers

Answer 1

Step-by-step explanation:

Taking log both sides :

[tex]( \frac{x + y}{4} ) + \tan( ln( \frac{x}{y} ) ) = \sqrt{y} [/tex]

Differentiate both sides w.r.t x :

[tex] \frac{1}{4} + \frac{1}{4} \frac{dy}{dy} + {sec}^{2} ( ln\frac{x}{y} ) + \frac{y}{x} + \frac{1}{y} - \frac{x}{ {y}^{2} } = \frac{1}{2 \sqrt{y} } \frac{dy}{dx} [/tex]

Rearranging :

[tex]( \frac{4 - 2 \sqrt{y} }{8 \sqrt{y} }) (\frac{1}{4} + {sec}^{2} ( ln\frac{x}{y} ) + \frac{y}{x} + \frac{1}{y} - \frac{x}{ {y}^{2} }) = \frac{dy}{dx} [/tex]

(You can rearrange it further)


Related Questions

Use the graph to determine which statement describes f(x).

Answers

Answer:

The statements are not provided, so let's do a complete description of f(x)

In the graph, we can see two asymptotes at x = 1.

This means that the denominator is equal to 0 when x = 1, then we can write:

f(x) = A/(x - 1)

Where we can start thinking that A is a constant.

Now we also can see that when x = 2, f(2) is equal to 1, or:

f(2) = 1.

Then:

f(2) = 1   = A/(2 - 1) = A/1

Then we have  A = 1.

Then our function is:

f(x) = 1/(x - 1)

is 12.68 greater the whole number 8

Answers

Answer:

no, it is not. 8 < 12.68

Step-by-step explanation:

3x + 5 = x - 3
Due today (in 10 minutes)

Answers

Answer:

I hope that helps!

x = -4

Move the numbers to the lines to order them from least to greatest

Answers

Answer:

-3/2, 1.25, |-9/4|, 2.5, 121

Step-by-step explanation:

Convert all numbers to a decimal

-3/2 = -1.5

|-9/4| = 2.25

2.5 = 2.5

121 = 121.0

1.25 = 1.25

Now put them in order from least to greatest.

-3/2, 1.25, |-9/4|, 2.5, 121

The numbers to the lines to order from least to greatest; -3/2, 1.25, |-9/4|, 2.5, 121

How can we express numbers belonging to decimal numeral system?

Suppose that the number is abcd.efg and belongs to the decimal numerical system.

Remember one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.

Convert all the numbers to a decimal

-3/2 = -1.5

|-9/4| = 2.25

2.5 = 2.5

121 = 121.0

1.25 = 1.25

Now put them in order from least to greatest, we get;

-3/2, 1.25, |-9/4|, 2.5, 121

Learn more about place value here:

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URGENT!!!!!! Find the value of q in the following system so that the solution to the system is——

Answers

Answer:  Q = 8

====================================================

Explanation:

The left hand side of the first equation is x-3y

The left hand side of the second equation is 2x-6y = 2(x-3y). Note how it's simply double of the first expression x-3y

If we multiply both sides of the first equation by 2, we get

x-3y = 4

2(x-3y) = 2*4

2x-6y = 8

Meaning that 2x-6y = 8 is equivalent to x-3y = 4. Both produce the same line leading to infinitely many solutions. Each solution will lay along the line x-3y = 4.

We can say each solution is in the set {(x,y): x-3y = 4}

Which is the same as saying each solution is of the form (3y+4,y)

Look at the middle 7 in the decimal 0.777. How is its value related to the value of the 7 to its left? To the value of the 7 to its right?

Answers

Answer:

Value of middle 7 = [tex]\frac{1}{10}[/tex](value of 7 to the left of the middle 7)

Value of middle 7 = [tex]10[/tex](value of 7 to the right of the middle 7)

Step-by-step explanation:

7 in the middle of number [tex]0.777[/tex] is equal to [tex]\frac{7}{100}[/tex]

7 to the left of the middle 7 is equal to [tex]\frac{7}{10}[/tex]

So,

[tex]\frac{7}{100}=(\frac{1}{10}) \frac{7}{10}[/tex]

That is value of middle 7 = [tex]\frac{1}{10}[/tex](value of 7 to the left of the middle 7)

Also,

7 to the right of the middle 7 is equal to [tex]\frac{7}{1000}[/tex]

So,

[tex]\frac{7}{100}=(10) \frac{7}{1000}[/tex]

That is value of middle 7 = [tex]10[/tex](value of 7 to the right of the middle 7)

Can someone help me with this answer please. In hanley's school, 0.495 of the students participated in a club. If there are one thousand students in Hanley's school, how many participated in the club?

Answers

Answer:

495

Step-by-step explanation:

0.495 x 1000 = 495

The recommended storage temperature for a certain type of squash is 10°C to 13°C. Which inequality
represents the possible storage temperatures F (in degrees Fahrenheit) of the squash.

Answers

Answer:

The simultaneous inequation representing the recomended storage temperature is:

[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]

Step-by-step explanation:

In this case, the statement must be represented mathematically by a simultaneous inequation, in which temperature must be equal to or greater than 10 ºC, expressed in Fahreheit degrees, and equal or less than 13 ºC, expressed in Fahrenheit degrees.

Bounds can be converted into Fahrenheit degrees from Celsius degrees:

[tex]T_{F} = \frac{9}{5} \cdot T_{C}+32\,^{\circ}F[/tex] (Eq. 1)

Where:

[tex]T_{C}[/tex] - Temperature, measured in Celsius degrees.

[tex]T_{F}[/tex] - Temperature, measured in Fahrenheit degrees.

Lower bound ([tex]T_{C} = 10\,^{\circ}C[/tex])

[tex]T_{F} = \frac{9}{5}\cdot (10\,^{\circ}C) + 32\,^{\circ}F[/tex]

[tex]T_{F} = 50\,^{\circ}F[/tex]

Upper bound ([tex]T_{C} = 13\,^{\circ}C[/tex])

[tex]T_{F} = \frac{9}{5}\cdot (13\,^{\circ}C) + 32\,^{\circ}F[/tex]

[tex]T_{F} = 55.4\,^{\circ}F[/tex]

The simultaneous inequation representing the recomended storage temperature is:

[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]

If the tax rate is 7%, what is the tax on a $60 stuffed animal?​

Answers

Answer:

$4.20

nice

Step-by-step explanation:

pwease can i have help pwease if two answer I will give brainliest

Answers

distributive property
commutative property of addition
distributive property? (i’m not sure)
subtraction property of inequality
subtraction property of inequality
division property of inequality

What’s 0.83 answer when the 3 keeps repeating

Answers

Answer:

A decimal that never ends is called A repeating decimal or recurring decimal

Solve: 39 - 7x = -4(7x + 7) + 4

Answers

39-7x=-4(7x+7)+4 given
39-7x=(-28x+28)+4 distribute
35-7x=-28x+28 subtract both sides (4)
7-7x=-28x subtract both sides (28)
7=-21x subtract both sides (7x)
x=-3 divide both sides (7)
i hope this helps!
yoy don't need to keep those extra comments next to the equations, they are there for you to understand it better!
also make sure to remember the negative signs <3

v=vo+at;find a if v = 20, vo = 30, t =5.​

Answers

Answer:

-2 = a

Step-by-step explanation:

v = vo + at

20 = 30 + a5

now get the numbers and the variable on different sides

30 + a5 - 30 = a5

20 - 30 = -10

-10 = a5

now im going to divide each side by 5

a5 / 5 = a

-10 / 5 = -2

-2 = a

Step-by-step explanation:

[tex]V = V _{0} + at \\ 20 = 30 + a \times 5 \\ 5a = 20 - 30 \\ 5a = - 10 \\ \\ a = - \frac{10}{5} \\ \\ a = - 2[/tex]

jenna is a professional typist. she can type 22,500 words in 5 hours of typing. in one hour, jenna can type blank words. in one minute, she can type blank words

Answers

In an hour, she can write 3,750 words and in one minute she can write 62.5

22,500/5 = 3,750
3,750/60 = 62.5

what is the absolute value of -8? use the number line to answer the question.

Answers

Answer:

that will be 8 because you are moving forward or backward that amount of spaces

it is math can someone help me, please

Answers

Answer:

Less than 3,

9/4

Step-by-step explanation:

Do you think you can write a disjunction that has no
solution? Explain your reasoning.
what is the answer for this

Answers

Answer:

no

Step-by-step explanation:

then you have nothing like no "pazas"!

A team won 8 of 24 games it played in one season what percentage of games did it win

Answers

Answer:

it would have won 1/3 or .333333

Step-by-step explanation:

8/24 simplifies to 1/3, which equals .33333

Answer:

I'm pretty sure it's 33%

Step-by-step explanation:

8 is 1/3 of 24 and 1/3 as a fraction is 33%

How is 5/2 divided by 1/4 equals 10 responsible

Answers

Answer:

Step-by-step explanation:

'll just help with proving whether she is correct.

First of all, a fraction divided by a fraction can be made into multiplication since the division of two fractions is kinda difficult

so remember keep, change, flip

keep the first fractions, change the division symbol into multiplication, then flip the fraction i.e. 1/2 becomes 2/1

so 5/2 divided by 1/4 becomes  

5/2 * 4/1

which then solved becomes

20/2 which is simplified to 10

Hope this helps :)

Suppose that a ball is thrown into the air with an upward velocity of 4 feet per
second from a building that is 20 feet high. The equation that gives the height of
the ball above the ground at time t, in seconds, is h = 20 + 4t - 16t2.
Determine after how many seconds since the ball was released will it hit the ground?
seconds

Answers

Answer:

velocity

Step-by-step explanation:

Trevor has already run 26 miles on his own, and he expects to run 1 mile during each track practice. How many miles would Trevor have run after 24 track practices

Answers

Answer:

the answer is 50

you have to add 26 to 24

If he has already one 26 miles and he is going to run 1 mile after 24 track practices he would have ran 50 miles

This is right because you would do : 26+24
And that equals 50
26+24=50

A box of 15 cookies costs $9.
What is the cost for 1 cookie?

Answers

Answer:

0.6

Step-by-step explanation:

Answer:The cost for 1 cookie is 60 cents.

Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Answers

Answer:

Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Write the equation for a line which is parallel to the y-axis but contains the point (3,7).



Help I’ll mark you as the brainliest...there are no other info or answer choices

Answers

Answer:

y=3x-2

Step-by-step explanation:

find the equation of the line parallel to the line y=3x+7 passing through the point (3,7).

The sides of a rectangle are 4.06 meters and 14 meters. Taking significant figures
into account, what is the area of the rectangle?

Answers

Answer:

56.84

Step-by-step explanation:

For rectangles and squares you multiply those two numbers and there is your answer. Then for triangles you multiply those two numbers but then you divide by 2 always. You got this! Keep going!

Lin divides the polynomial 2x^2 -4x+1 by 4 and gets 0.5x^2 -x + 0.25. is 0.5x^2 - x +0.25 a polynomial

Answers

Answer: yes

Step-by-step explanation:

The expression 0.50 x² - x + 0.25 is a polynomial.

It is given that Lin divides polynomial 2x² - 4x + 1 by 4 and gets 0.5x² - x + 0.25.

We have to find out that whether the expression given is a polynomial ?

What do you mean by a polynomial ?

Polynomials are algebraic expressions that consist of variables and coefficients e.g., polynomial with one variable is x² + x - 12.

As per the question ;

Lin divides polynomial 2x² - 4x + 1 by 4 and gets 0.5x² - x + 0.25

Let's check ;

(2x² - 4x + 1 ) ÷ 4

= [tex]\frac{2x^{2} }{4}[/tex] - [tex]\frac{4x}{4}[/tex] + [tex]\frac{1}{4}[/tex]

= [tex]\frac{x^{2}}{2}[/tex] - x + 0.25

or

= 0.50 x² - x + 0.25

or a form of polynomial i.e., ax² + bx + c.

Thus , the expression 0.50 x² - x + 0.25 is a polynomial.


To learn more about polynomials click here ;

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After 3.5 hours, Peyton had traveled 161 miles. If she travels at a constant speed, how far will she have traveled in 4 hours

Answers

Answer:

1.3 more miles i think

Step-by-step e

3.5 hours equal 210 and i divided it by 163 and thats what came up

Answer:

46

Step-by-step explanation:

C:

Its correct dont worry!

By the way I have no idea why I am doing this but have some free emojis :D

✌︎      ✎ ☁︎☾  ABC: ℂℍℕℙℚℝV☘︎❄︎␘                  I have way more but it does not fit D:

OMG help what is the relationship between the 5's in 345,502 I think this is math

Answers

The first five in the number 345,502 is in the thousands place.

The second five in the number 345,502 is in the hundreds place.

This is the relationship between the two 5's.

Hope this helps!

6 (x – 3) = 4(x – 4) + 2 (x - 1)

Answers

Answer: Infinitely many solutions

Step-by-step explanation:  0 = 0

Many Solutions
0=0
them will help :)

A tank of gas cost about $32.25 on a midsize car if the tank holds 15 gallons what is the cost per gallon?

Answers

Answer:

$483.75

Step-by-step explanation:

32.25 x 15 = 483.75

If I'm wrong, please kill me ;-;

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