Using L Hospital's rule, evaluate :
lim
x →0(x² – Sin²x)/x^2​

Answers

Answer 1

Answer:

0

Step-by-step explanation:

L Hospital's rule states that as long as u have the form

of infinity / infinity or 0/0 in general you can take its derivative to find the limit.

In this case as X tends to 0, the numerator tends to 0

Denominator will also tends to 0.

We have the 0 / 0 form, which means we can take the derivative for its numerator and denominator which gives

(2x - 2SinxCosx) / 2x | lim x -> 0

= (2x - Sin2x) / 2x | lim x -> 0

Based on this equation, as x tends to 0

both numerator and denominator tends to 0.

So we take its second derivative,

(2 - 2Cos2x) / 2

Now as x -> 0,

we will get (2 - 2)/2 = 0


Related Questions

I will give extra points please help

Answers

Answer:

9

Step-by-step explanation:

45/5 = 9

X = 9 because 9 x 5 = 45 or 45 divide 5 = 9

Find the missing side of this right triangle. [Pythagorean Theorem]

Answers

Answer: 12 x 7 = 72

Step-by-step explanation:

Answer:

Square root of 193

Step-by-step explanation:

7^2+12^2=x^2

Switch sides: x^2=7^2+12^2

After everything is squared: x^2=49+144

x^2=193 OR x=\sqrt{193}

Kareem borrowed money from a credit union for 6 years and was charged simple interest at an annual rate of 8%. The total interest that he paid was $240 . How much money did he borrow?

Answers

Answer:

I think 220.8

  Step-by-step explanation:

Write 11/8 as a mixed fraction

Answers

Answer:

1 3/8

Step-by-step explanation:

Since 11 is over 8 that means you already have a whole number so you just add the 3 and you get 1 3/8

To check just in case you just multiply the whole number and denominator and then add the numerator.

Can someone help please, please no dirty links you will be reported.

Answers

Answer:

3.25

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math come help plese

Answers

Answer:

74

Step-by-step explanation:

Sally told Joe that if you are reducing an image, the scale factor is less than 1, and if you are enlarging an image, the scale factor is greater than 1. Is Sally correct? Explain.

Answers

Answer:

YES!

Step-by-step explanation:

if its less than 1, then ur reducing

ex. = 1 x 0.5 = 0.5

If its greater than 1, then ur increasing

1  1.5 = 1.5

Works with any number

i dont know how do i delete this

After school Philippe spent 1 3/4 hours at baseball practice, 2 1/4 hours on homework, and 1/4 hour getting ready for bed. About how many hours after school will he be ready for bed. Explain

Answers

Answer:

4 hours. 1 3/4 is about 2, and 2 1/4 rounds to 2. 1/4 would round to 0, but it would not affect the estimate's accuracy much because we rounded up by 1/4 on 1 3/4 already. Philipe spent about 4 hours on activities.  

Step-by-step explanation:

PLSSSS ANSWER 10 POINTS AND BRAINLIEST

Answers

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

we know that

[tex]x+100+3x=180[/tex]

so solve for x

[tex]4x+100=180\\\\4x=80\\\\x=\frac{80}{4}=20[/tex]

Answer: x = 20

Step-by-step explanation:

180 - 100 = 80

4x = 80

x = 20

A cookie jar contains 3 vanilla, 2 chocolate chip, and 7 gingersnap cookies. If one cookie is taken at random from the jar, what is the probability that it will be a vanilla cookie?

Answers

Answer:

3/12= 1/4

Step-by-step explanation: because you would add the all up for 12 and you have a 3 vanilla's so 3/12= 1/4

Which number line shows the solution to the inequality?

Answers

the answer is c
hope this helps :)

Answer:

C

Step-by-step explanation:

I was taking the test and finished an hour ago

The formula for the circumference, C, of a circle with given radius, r, is C = 2πr. meters? what is the circumference of a circle with a radius of 3 1/2 meters? (use 22 as an estimate for it.)
A. 7 meters
B. 11 meters
C. 22 meters
D. 44 meters​

Answers

Answer:

22

actual answer was 21.99

In a survey of 526 visitors to the craft center, 378 want the craft center to be open later in the evenings. What is the interval that is likely to contain the true population proportion?



37% to 69%
16% to 17%
20% to 38%
0% to 53%​

Answers

Answer:

37% to 69%

Step-by-step explanation:

Gavin has a board that is ten feet long. Gavin is using the board to saw off pieces of wood needed for a building project. First Gavin saws off 2/10 of the board. Next Gavin saws off 5/10 of the board. Last Gavin saws off 1/10 of the board Gavin says he has 2/10 the board left to use for another building project is Gavin correct?

Answers

Answer:

Gavin is correct

Step-by-step explanation:

Since the problem is using a denominator of 10, I will convert 1 (1 representing the full length of the board before being sawed) to a fraction over 10

1 = 10/10

Subtract everything Gavin sawed off from the board

10/10 - 2/10 - 5/10 - 1/10

Only subtract the numerators; the denominators will stay the same

8/10 - 5/10 - 1/10

3/10 - 1/10

2/10

Gavin says he has 2/10 of the board left to use

Since we concluded we still have 2/10, he is correct

Find the slope of the line that passes through (1, 11) and (9, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

i think it would be negative. -1/8

The estimated regression equation by least squares method minimizes the sum of the Group of answer choices Absolute deviations between actual and predicted y values Differences between actual and predicted y values. Squared differences between actual and predicted y values None of the choices Absolute deviations between actual and predicted x values.

Answers

Answer:

Squared differences between actual and predicted y

Step-by-step explanation:

The least squares regression method used in predictive modeling for linear regression models produces a best fit line which will minimize the square of the mean difference between the actual and projected or predicted values of the dependent, y variable. Hence, the when the sum of the squared value of the difference between the actual and predicted values (residual) are taken, the fit which gives the minimum sum of squared value is the best fit line upon which the estimated regression equation is based.

The true statement is that the estimated regression equation by least squares method minimizes the sum of the (c) Squared differences between actual and predicted y.

In regression, the least square method is used to estimate quantities.

This is done in order to minimize the sum of the squares of the differences between the observed values and the estimated values.

In this case, the observed value and the estimated values represent the actual and predicted y

Hence, the true statement is that the estimated regression equation by least squares method minimizes the sum of the (c)

Read more about least squares method at:

https://brainly.com/question/25927487

For every hour of exercise, Tina drinks 8 ounces of water. What is the ratio of hours to water

Answers

Answer:

1:8

Step-by-step explanation:

1 hour for every 8 ounces gives a 1:8 ratio

Answer:

8:3 would be the ratio

Find the area of the rhombus. Each indicated distance is half the length of it’s respective diagonal.
(image included)

Answers

Answer:

384 ft²

Step-by-step explanation:

12x16x2=384

I need help with this question please, if anyone would be kind enough to give me the correct answer, in return I would gladly rate a 5 star and give brainliest (:

Answers

-4(3n + 5) is the answer

What are some things that might be necessary to know in order to solve problems involving quadratic regression?

Answers

Answer:

When given a set of data, we can use our graphing calculator to generate the quadratic regression equation. This is the equation that best fits a set of data, using a quadratic model.

Step-by-step explanation:

got a 100%

The things which are necessary to know in order to solve problems involving quadratic regression are data, correlation coefficient and quadratic equation.

What is quadratic regression?

The quadratic regression is the statistical process which is used to obtain the equation of parabola, to represent the data set in the most appropriate way.

The things which are necessary to know in order to solve problems involving quadratic regression are listed below.

The most important thing for approaching quadratic regression problem is visualize the data.Make a proper table with x and y values with the data. These values should form a parabola for the quadratic regression.Find the correlation coefficient. The closer the value of correlation coefficient to 1, the data good fit into the quadratic equation.Least square method is the best way to solve the problems involving quadratic regression.

Thus, the things which are necessary to know in order to solve problems involving quadratic regression are data, correlation coefficient and quadratic equation.

Learn more about the quadratic regression here;

https://brainly.com/question/25794160

832.59÷100=
18.6 ÷0.12=
12.42 ÷ 4.6=

Please help me with all of them :,> Offering all my points for all of them.

Answers

1. 8.3259
2. 155
3.2.7

Which list shows the runners in order by their completion times from fastest to slowest

Answers

Answer:

answer is D

Step-by-step explanation:

12+1/2=12.5          12+2/5=12.4

A raffle is going to be held in which the winner will get $200. If 1000 tickets are to be sold, what is the fair
price for a ticket?

Answers

Answer:

$5

Step-by-step explanation:

1000/200=5

Answer:

20 cents.

Step-by-step explanation:

A fair price would be 200/1000 = 1/5 of a dollar which is 20 cents. But this does not allow for the people putting on the raffle to make any money for doing it. It would be better if the raffle went for a dollar. Most people would think that is fair and would not begrudge a dollar.

Si a y b son los catetos de un triángulo y c su hipotenusa determina el lado que falta a= 16,b=34*

Answers

Answer:

the aswer is b

Step-by-step explanation:

i  

What was the temperature in the city with an elevation of -9?

Answers

Answer:

7(u will trace the _9 in x axis to y axis where the blue dot is the value there will be our answer and that is 7)

A water balloon was launched into the top of the hill 38 feet above the ground

Answers

Answer: -71.104 ft/sec

Step-by-step explanation:So you need to know how fast the balloon is moving when it hits this person's head. velocity is based on time. So you need the time that it hits this person's head. You can get time from the position equation. Because the balloon hits this person's head 6 feet from the ground, you know that the final position is at 6 so you plug that into the position equation and solve for t. You look and see what the appropriate t value is and plug it into the velocity equation and see what the answer is.

6=-16t^2+40t+60

0=-16t^2+40t+54

plug in those values into the quadratic formula or your calculator and you get:

t = -.972

or

t = 3.472

since you can't have negative time, the other answer must be it.

So you then plug it in and solve.

v(3.472) = -32(3.472) + 40

which is approximately -71.104 ft/sec

or if they just want speed, 71.104 ft/sec. (remember, speed is velocity without direction)

A cylindrical can of popped corn has a lateral surface area of 6760 T
cm? The height of the can is 40 cm. Using your formula chart, find the
correct formula and use it to find the radius.
F. 168 cm
H. 13 cm
G. 84.5 cm
J. 26 cm

Answers

9514 1404 393

Answer:

  G.  84.5 cm

Step-by-step explanation:

Assuming the lateral area is 6760π cm², we can find the height from ...

  A = 2πrh

  r = A/(2πh) = (6760π cm²)/(2π·40 cm) 6760/80 cm = 84.5 cm

The radius of the can is 84.5 cm.

Plz help if correct ill give brailiest

Answers

Answer:

At most 5

At least 0

Step-by-step explanation:

22 - 17 = 5

You can't have no more than 5, and you can have none join at all.

Answer:

At the most, it will be 5

At least  it will be 0

You can't have anymore than 5, and you can have none join at all.

Step-by-step explanation:

22 - 17 = 5

You can't have anymore than 5, and you can have none meet at all.

What 3d shape does this
net make?

a. rectangular prism
b. triangular prism
c. triangular pyramid
d. rectangular pyramid

Answers

Triangular prism will be your answer

Answer:

B) A triangular prism

Step-by-step explanation:

Br0 yk this is easy l.o.l

x – 1/4=1/2 what is x?

Answers

Answer:

x= 3/4

Step-by-step explanation:

x-1/4=1/2

 +1/4  +1/4

x=3/4

x is 3/4 ; 3/4-1/4=1/2
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