if L(x) =sinx-cosx, then dxy=?​ A. cosx+sinx B. cosx-sinx C. sin²x+cosx D. none​

Answers

Answer 1

The correct option is A. cosx+sinx. The differentiation of the given function L(x) =sinx-cosx, is found as dxy =  cosx + sinx.

Explain about the derivative of function:

The derivative of a function f(x), also known as f'(x) or df/dx, is a measure of how quickly a function changes.

We gradually reduce the distance between x and (x+x) until it is minuscule. As a result, we now have limit (x-->0). The variation of the function f across the interval x is represented by the numerator f(x+x)-f(x). As a result, the rate of change of a function f at a position x is represented by its derivative at that location.

We must differentiate L(x) in respect to x using such derivative rules in order to determine d(L(x))/dx.

d(L(x))/dx = d/dx (sinx - cosx)

d(L(x))/dx = cosx - (- sinx)

d(L(x))/dx  = cosx + sinx

Thus, the differentiation of the given function L(x) =sinx-cosx, is found as dxy =  cosx + sinx.

Know more about the derivative

https://brainly.com/question/23819325

#SPJ1


Related Questions

Can someone pls explain

Can someone pls explain

Answers

163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units

164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.

165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.

166. Missing side = 29 ft.

What is the Pythagorean Theorem?

The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.

163. The distance between A(-5, 6) and B(5, -5):

AB = √[(5−(−5))² + (−5−6)²]

AB = √221

AB ≈ 14.9 units

164. Apply the Pythagorean theorem to find the diagonal:

Diagonal = √(15² + 15²) ≈ 21.2 ft.

165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:

c = √676 = 26 units.

166. Missing side = √(20² + 21²) = 29 ft.

Learn more about the Pythagorean theorem  on:

https://brainly.com/question/27997683

#SPJ1

please help, I’ll give brainliest to anyone who gets it’s right:) if you send a link, I’ll report sorry! :(

The figures below show the populations of 25 cities randomly selected from the 200 largest
cities in each of two countries. Based on these samples, about how much larger is the
median population of China's 200 largest cities than the median population of India's 200
largest cities?

please help, Ill give brainliest to anyone who gets its right:) if you send a link, Ill report sorry!

Answers

Answer:

600 000

Step-by-step explanation:

took the same test nav

John has two coupons that he can use to
purchase a new refrigerator. The first coupon is
30% off, and the second is an additional 20%.
If the refrigerator is $1599.99, how much will he
pay after the discounts are applied one at a
time?

Answers

Answer:

Ans:800 or 799.995

Step-by-step explanation:

first aplly the 30% percent

=30/100 x 1599.99

=479.997

This the amount that it is gonna be discounted or removed from the original Pric that is 1599.99

Then minus the original price with the discount

=1599.99-479.99

=1120

dollars left then apply the 20% percent coupon on the 1120 dollars

=20/100 x 1120

=224 discount

minus it from the second original price

=$896

This is the amount he is gonna pay

what is 5×=2.5

please help​

Answers

Answer:

x=2/5

Step-by-step explanation:

Divide:

2 divided by 5 equals 0.4, which is equivalent to 4/10, which simplifies to 2/5.

Multiply to check:

2/5 times 5 equals 2

So x=2/5

1
Which shape is pictured above?
O A. cylinder
OB. cube
OC. rectangular prism
OD. sphere
All rights reserved.
Reset
Next

Answers

Can you post the picture?
Could you post a picture

please
\(2x {}^{2} + 2y {}^{2} - 6y - 12y = 3 \)
I need help​

Answers

Here you go, hope this helps
please [tex]2x {}^{2} + 2y {}^{2} - 6y - 12y = 3 [/tex]I need help

The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree​

Answers

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

For more questions on equilateral triangle:

https://brainly.com/question/17264112

#SPJ8

an airplane takes 3 hours to travel a distance of 1440 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in the still air and the speed of the wind.

Answers

Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

Final answer:

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

Explanation:

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

The trip with the wind covers 1440 miles in 3 hours, so (r + w) * 3 = 1440The return trip against the wind covers the same 1440 miles in 4 hours, so (r - w) * 4 = 1440

By solving these two equations, we get the following:

r + w = 480r - w = 360

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

Learn more about Simultaneous Equations here:

https://brainly.com/question/31913520

#SPJ2

Miguel is a boxer. He had to decrease his weight by 4%
to 160 pounds in order to fight in this weight class.
What was his starting weight? Round his weight to the
nearest hundredth. Show your work.

Answers

Answer:

166.66 pounds

Step-by-step explanation:

160/0.96=166.66667

This is how I remember doing these questions

the ratio of fish to snails in an aquarium is 3 to 2. There are 18 fish in the aquarium. How many snails are in the aquarium?​

Answers

12 snails, give me brainliest pls

Answer:

12 is the correct answer

Step-by-step explanation:

Please answer these 2 word problems for BRAINLIEST AND IF CORRECT I WILL GIVE EXTRA POINTS

Please answer these 2 word problems for BRAINLIEST AND IF CORRECT I WILL GIVE EXTRA POINTS

Answers

Answer:

150

Step-by-step explanation:

Approximate -10 + √30 to the nearest tenth.
O-5.5
O-4.5
04.5
O5.5

Answers

Answer:

  (b)  -4.5

Step-by-step explanation:

Choosing the correct answer here is not the same as knowing what the correct value is.

Estimate

You know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.

You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...

  -10 +√30 ≈ -10 +5.5 = -4.5

__

Additional comment

Of course, a calculator can tell you the value to the desired precision.

Approximate -10 + 30 to the nearest tenth.O-5.5O-4.504.5O5.5

$16.20 per hour for 40 hours and time and a half for 8 hours. What is the total pay?

Answers

Answer:

Add 16.20+ 40+8

Step-by-step explanation: 16+20+40+8= 84

The table above shows the number of members of a local gardening club who attended each of the three
monthly meetings of the club last summer. If no members left or joined the club during the summer, what is the
least number of members that the club could have had during the summer?
0 28
O 35
044
O 105

The table above shows the number of members of a local gardening club who attended each of the threemonthly

Answers

The least number of members that the club could have had during the summer is 28.

We need to find the maximum number of members attending each meeting and consider that as the minimum number of club members.

Looking at the data provided:

June: 44 members attended

July: 28 members attended

August: 33 members attended

Among these three meetings, the lowest attendance was in July with 28 members.

Therefore, the least number of members that the club could have had during the summer is 28.

Learn more about Data here:

Y=-1/4x +9 what is the slope and y - intercept

Answers

Well your slope is -1/4 and your y-intercept is 9

Answer:

The slope is -1/4 and the y intercept is at (0, 9)

Step-by-step explanation:

In the equation y = mx + b, m is the slope and b is the y intercept.

Since -1/4 is the coefficient to x in the equation, the slope is -1/4.

Since there is a +9 at the end of the equation, the y intercept is (0, 9).

So, the slope is -1/4 and the y intercept is at (0, 9)

I need to get the answer but I’m struggling to understand how to get the gradient

I need to get the answer but Im struggling to understand how to get the gradient

Answers

Answer:

-5

Step-by-step explanation:

gradient or slope of line: m = (y'-y)/(x'-x)

line pass (-2,5) (-1,0) (0,-5)

use any of two points: m = (0-5) / (-1 - -2) = -5/1 = -5

PLEASE HELP!!!
Solve the following word problem. The air temperature at 9 a.m. is −5.8 degrees Celsius. The air temperature at noon is −1.6 degrees Celsius. What is the change in the temperature during these three hours? Write and solve an equation to show your answer. Then explain what your answer means

Answers

The equation to show the change in temperature between 9 a.m. and noon is given as d = x - y.

What is an equation?

An equation contains two mathematical expressions that state that they are equal or equivalent.

We use the equation mark (=) to show that two expressions possess equality.

Air temperature at 9 a.m., y  -5.8 degrees Celsius

Air temperature at noon, x = -1.6 degrees Celsius

Change in temperature, d = 4.2 degrees Celsius (-1.6 - -5.8)

The equation to show the change is d = x - y, where d is the change in temperature, x is the final temperature, and y is the initial temperature.

Thus, based on the equation, the temperature increased by 4.2 degrees Celsium from the earlier -5.8 degrees Celsius to result in a final temperature of -1.6 degrees Celsius at noon.

Learn more about equations at brainly.com/question/2972832

#SPJ1

A student with two summer jobs earns $10 per hour at a cafe and $8 per hour at a market the student would like to earn at least 800 per month.
A. Write an inequality to represent the hours worked and amount earned
B. The student can work no more than 90 hours a month write an inequality to represent the hours worked for the two jobs.
C. Graph the inequalities.
D&e how many hours should the student work at the cafe and the market to reach their goal of 800 per month.

Hours at cafe
Hours at market

Answers

Answer: the answer is 432 per day so in 2 days she/he will have just enough

Step-by-step explanation:

Is 3+(−4) the same as −4+3? Explain. 3+(−4) the same as −4+3 because of the Property of Addition.

Answers

Answer:  The − sign here means subtraction. However, recall that 4 − 7 can be rewritten as 4 + (−7), since subtracting a number is the same as adding its opposite.

Step-by-step explanation:

Yes, 3 + (-4) is the same as -4 + 3, and this is due to the Commutative Property of Addition

Is 3+(−4) the same as −4+3? Explain. 3+(−4) the same as −4+3 because of the Property of Addition.

The Commutative Property of Addition states that the order in which numbers are added does not change the result. In other words, when adding two or more numbers, we can change the order of the numbers without affecting the final sum.

So, in the case of 3 + (-4) and -4 + 3:

3 + (-4) = -1

-4 + 3 = -1

Both expressions have the same result of -1, which confirms that they are equal, and it's because of the Commutative Property of Addition.

Learn more about expression at https://brainly.com/question/30350742

#SPJ3

Determine the average rate of change of this function over the interval -2≤x≤4

Answers

The rate of change of the function h(x) = 2x on the interval 2 ≤ x ≤ 4 is 6.

please answer quick ! 6 9/10 - 2 2/9 = ?

Answers

Answer:

4 61/90

Step-by-step explanation:

6 - 2 = 4

9 / 10 - 2 / 9 = 61 / 90

the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333

Answers

This table shows the frequency of each number obtained after throwing the die 35 times

How to prepare frequency table

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

Learn more about frequency table at https://brainly.com/question/27820465

#SPJ1

Two concentric circles are shown below. The radius of the larger circle is 8 centimeters, while the radius of the smaller circle is 6 centimeters. What is the EXACT area of the shaded region in the figure shown below in square centimeters? 8 6 EXACT area = ? type pi form

Answers

start by finding the area for both of the circles with radio 8 and 6 using the formula

\(A=\pi\cdot r^2\)

then

\(\begin{gathered} A=\pi\cdot8^2 \\ A=64\pi \\ \text{small circle} \\ A=\pi\cdot6^2 \\ A=36\pi \end{gathered}\)

to find the exact area substract the bigger one with the smallest one

\(\begin{gathered} A_t=64\pi-36\pi \\ A_t=28\pi \end{gathered}\)

Given that 8 tan = 3 cos
a) Show that the above equation can be rewritten in the form 3 sin2 + 8 sin − 3 = 0
b) Hence solve, for 0 ≤ ≤ 90, the equation 8 tan 2 = 3 cos 2, giving your answers to 2 decimal places.​

Answers

The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.

a) We are given the equation 8 tan θ = 3 cos θ.

Dividing both sides of the equation by cos θ, we have:

8 tan θ / cos θ = 3

Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:

8 (sin θ / cos θ) / cos θ = 3

Simplifying further, we get:

8 sin θ / cos^2 θ = 3

Now, multiplying both sides of the equation by cos^2 θ, we have:

8 sin θ = 3 cos^2 θ

Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:

8 sin θ = 3(1 - sin^2 θ)

Expanding the equation, we get:

8 sin θ = 3 - 3 sin^2 θ

Rearranging the terms, we have:

3 sin^2 θ + 8 sin θ - 3 = 0

Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.

b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.

To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.

In this case, the equation factors as:

(3 sin θ - 1)(sin θ + 3) = 0

Setting each factor equal to zero, we have two equations:

3 sin θ - 1 = 0    or    sin θ + 3 = 0

For the first equation, solving for sin θ, we get:

3 sin θ = 1

sin θ = 1/3

Taking the inverse sine (sin^-1) of both sides, we find:

θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)

For the second equation, solving for sin θ, we have:

sin θ = -3

Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).

Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.

To know more about Range .

https://brainly.com/question/30389189

#SPJ11

which graph shows all the values that satisfy 2/9x

Answers

Answer:

This function is an exponential diagram that is not defined in \(x=0\).

which graph shows all the values that satisfy 2/9x

Answer:

Hello There!

~~~~~~~~~~~~~~~~~~~~`

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Step-by-step explanation: Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

Hope this helped you. Brainliest would be nice!

☆_____________❤︎_____________☆

A building is constructed using bricks that can be modeled as right rectangular
prisms with a dimension of 7 in by 22 in by 3 in. If the bricks cost $0.02 per cubic
inch, find the cost of 1050 bricks. Round your answer to the nearest cent.

Answers

The cost of 1050 bricks is $9,702.00.

How to find the cost of each brick

The cost of the rectangular prism is given per volume hence we solve for the volume of each brick using:

= length * width * depth

= 7 in x 22 in x 3 in

= 462 cubic inches

The cost of each brick is given to be $0.02 per cubic

inch

To find the cost of 1050 bricks, we can multiply as follows

=  the volume of each brick * 1050 bricks * cost of one brick

=  462 cubic inches x $0.02/cubic inch * 1050 bricks

= $9,702.00

To the nearest cent, the cost of 1050 bricks is $9,702.00.

Learn more about rectangular prism at

https://brainly.com/question/128724

#SPJ1

Find x when () = 2. Please explain step by step

Find x when () = 2. Please explain step by step

Answers

Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.

Step-by-step explanation:

Tlus
-5 in
The volume of
the figure is
cubic in
6 in
6 in Find the volume of the
pyramid using the equation
below.
.
Bh (6)(6)(5)
3
3
Enter the value in the green box
=
[?]
Enter

Tlus-5 inThe volume ofthe figure iscubic in6 in6 in Find the volume of thepyramid using the equationbelow..Bh

Answers

Step-by-step explanation:

what is the problem ? everything is already written there : the formula, the actual numbers are inserted. now you only need to do the basic calculation :

6×6×5/3 = 2×3×5 = 30 in³

Answer:

60

Step-by-step explanation:

Edward Nigma is installing square tiles in his bathroom. The blueprint above is a scaled drawing of the tile pattern to be used. If the total area of the shaded region is 22 ft^2, what is the total floor area of the bathroom?

Edward Nigma is installing square tiles in his bathroom. The blueprint above is a scaled drawing of the

Answers

Answer:

  H.  99 ft²

Step-by-step explanation:

Area is proportional to the number of tiles.

Proportion

The total area of the bathroom is 6×9 = 54 tiles. Of these, 12 are shaded. The proportion can be written as ...

  total area / shaded area = total tiles / shaded tiles

  total area / (22 ft²) = 54/12 . . . . . use given numbers

  total area = (22 ft²)×(54/12) = 99 ft² . . . . . multiply by 22 ft²

The total floor area of the bathroom is 99 square feet.

How much is 2 3/4 cup plus 2 3/4 cup

Answers

5.5 US cups. Its Addition
Other Questions
The first three terms of an arithmetic sequence are as follows. - 7, - 3, 1 Find the next two terms of this sequence Please help A television regularly costs $180, but it is on sale for 40% off. There is a 5% sales tax on the sales price. How much does the television cost after the dicount and the sales tax How does mass relate to density? Read the sentence from Paragraph 3.Fortunately, Gerrman provides the answers on the facing page, making it easy to hide them when one wants to and easy to reveal them when one is PUZZLED by a particularly puzzling riddle.Which word is the most precise replacement for the puzzled word in the sentencebaffledexcitedamusedamazed Ellen has two pizzas left after a party. One is whole and one has been half-eaten. The whole pizza has a radius of 7 inches. The half eaten pizza has a diameter of 20 inches.Which pizza has a greater circumference? . On a sunny summer day, you are taking the scenic boat ride from Stein am Rhein, Switzerland, to Schaffhausen, down the Rhein River. This nonstop trip takes 40 minutes, but the return trip to Stein, upstream, will take a full hour. Back in Stein, you decide to stay on the boat and continue on to Constance, Germany, now traveling on the still waters of Lake Constance. How long will this nonstop trip from Stein to Constance take (0.95x -0.04)-(0.99x -0.13) What are the categories of Crimes from the most serious to least serious? 1Felony, Misdemeanor, Infraction 2Wobbler, Felony, Misdemeanor 3Infraction, Felony, Misdemeanor 4Felony, Wobbler, Infraction. what is an example of an absolute phrase in the sentence "legs churning toward the goal-line, the running back plunged into the end zone for the winning touchdown." Which letter is on the steepest slope?(A.) A(B.) B (C.) C The Graph of y=e3 is transformed as shown in the graph below. Which equation represents the transformed function? Compare and contrast the major challenges that trade unions arefacing in Japan, Germany, and Sweden. Discuss the majorsimilarities and differences. What childhood challenges does Jacqueline remember pls help with math!!! In addition to natural factors, human activity can also alter ecosystems. Conduct research on a human activity thatcurrently affects or can theoretically affect your chosen ecosystem. Use your food web model to explain how thischange can affect the competition for food resources. which strategy would the nurse use to teach the parent of a 3-year-old child requiring complex care? how did slavery as an institution lead to the emergence of idea about race in english america? Which represents the explicit formula for the arithmetic sequence an = 15 5(n - 1) in function form? There are nine judges currently serving on the supreme court of the united states. the following table lists how long (number of years) each judge has been serving on the court as of 2013. calculate the mean length of service for these nine judges. show your work. based on the chart, which best explains germanys actions between 1932 and 1939