lim(sinx)^2tanx as x approaches zero​

Answers

Answer 1

Answer:

[tex]\lim_{x \to 0} sin^2(x)tan(x) = 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Pre-Calculus

TrigonometryUnit Circle

Calculus

Limits

Step-by-step explanation:

Step 1: Define

[tex]\lim_{x \to 0} (sinx)^2tanx[/tex]

Step 2: Solve

Rewrite [Sine Trig]:                                                                                           [tex]\lim_{x \to 0} sin^2(x)tan(x)[/tex]Evaluate limit [Substitute in x:                                                                          [tex]\lim_{x \to 0} sin^2(x)tan(x) = sin^2(0)tan(0)[/tex]Evaluate trig:                                                                                                     [tex]\lim_{x \to 0} sin^2(x)tan(x) = 0 \cdot 0[/tex]Multiply:                                                                                                             [tex]\lim_{x \to 0} sin^2(x)tan(x) = 0[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits

Book: College Calculus 10e


Related Questions


Can you also explain how you got the answer

Answers

Answer:

I recoment using the formula because its different ways its taught

Step-by-step explanation:

maybe look up different formula's

Answer:

The answer is D

Step-by-step explanation:

The y values are going up by 2

For linear equations you follow y = mx + b

M = 2

B would be 1 since that is what y is when x is 0

So it must be D

Math HW please help!

Answers

Answer:

B) 4

Step-by-step explanation:

(x-1+2)^2=(x-1)^2+(2x-4)^2

(x+1)^2=(x-1)^2+(2x-4)^2

x^2+2x+1=x^2-x+1+4x^2-16x+16

0= 4x^2-18x+17-2x-1

4x^2-20x+16=0/4

x^2-5x+4=0

(x-4)(x-1)=0

x-4=0

x=4

hope it helps..

have a great day!!

If the 12-sided solid is rolled 180 times, how many times would you expect either number a 3, 9 or 11 to be rolled?

Answers

3/12 x 180 = 45 hope this helps

The probability that the 12-sided solid gets 3 , 9 or 11 is P ( A ) = 1/4 and the expected number of times is n = 45

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the the 12-sided solid gets 3 , 9 or 11 be P ( A )

Now , the value of P ( A ) is

Let the number of outcomes when rolling a 12-sided solid = 12

The number of times the solid is rolled = 180 times

So , the total number of outcomes = 12 x 180 = 2160

And , the probability of getting a 3 = 1/12

The probability of getting a 9 = 1/12

The probability of getting a 11 = 1/12

So , the total probability of getting a 3 , 9 or 11 = 3/12 = 1/4

The total expected number of times = 45

Hence , the probability is 1/6

To learn more about probability click :

https://brainly.com/question/17089724

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Hello, just need the answer for this question. Thank you for your help if you do so.

Answers

Answer:

In the first one you are missing (x - 3) so it will be 4(x - 3) and if you factor it out it will be 4x - 12

In the second one you are missing a (x -5)which means 9x(x -5) or when you factor it out it will be 9x^2 - 45x

Step-by-step explanation:

3x^2 -23x + 40 = (3x - 8) (x - 5)

3x^2 -17x + 24 = (3x -8) ( x - 3)

her after-school community service
project. She ordered 6 pizzas. If
30 students attend the event and each
gets an equal amount of pizza, how
much pizza will each student receive?

Answers

Answer:

5

Step-by-step explanation:

What is the range of the graph

Answers

Answer: b

Step-by-step explanation:

The range is the set of y-values of the function.

giving out brainliest answer !!!! help me out asap please !!!!

Answers

9514 1404 393

Answer:

  45.6°

Step-by-step explanation:

The attached result was found by typing "arccos(7/10) in degrees" into a web browser search box.

Your calculator can give you the same result. The inverse cosine function often shares a key with the cosine function. It is often marked as cos⁻¹. Be sure that the angle mode is set to degrees, not radians.

PLEASE HELP AND NO LINKS OR YOU WILL BE REPORTED

I need help with this please, I keep getting the wrong answer every time please help me, I keep getting B) 5 which is wrong please help me

Answers

Answer:

The differnce is 3 and 1/2 as 9/2 - 1 = 3 and 1/2 according to the points plotted above the diagram meaning 5 and 0 are excluded values which do not have any place within the diagram.

Step-by-step explanation:

I really need help on this please.

3x+4y=36 y=-0.5x+8 substitution​

Answers

Answer:

Step-by-step explanation:

3x+4(-0.5x+8)=36

3x-2x+32=36

X=36-32

X=4

help please ! need it asap and
(round answer to nearest tenth) pls

Answers

Answer: v=85/11

Step-by-step explanation: Cross multiply to get 11v=85, divide both sides by 11, and you get v=85/11.

Hope that this helped! Have a great day!!

In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10th of a square inch?

Answers

9514 1404 393

Answer:

  55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

  n/sin(N) = p/sin(P)

  n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

  n ≈ 542.246913 . . . . inches

The angle O is ...

  O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

  A = 1/2·np·sin(O)

  A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

Answer:Area

55637.81

55637.8

Area≈55637.81≈55637.8

Step-by-step explanation:

What is the a-value of the quadratic
expression?
5x2 + 13x + 6

Answers

The a value in the expression is 5x^2

sally had 21 marbles her friendgave her some more.she then had 35 marbles. write an expression that shows how many marbles she had.

Answers

Answer:

21 + x = 35

x = 14

Hope this helps :)

HELP ME PLZZ ASAP WILL MARK BRAINLIST​

Answers

Answer:

Option 2

Step-by-step explanation:

The problem given is saying this for example 24 ÷ (2+4)

The problem you picked would be saying (2+4) ÷ 24

Option 2 is saying 24 ÷ (4+2)

Nothing is changing except the order of the numbers in the parantheses, no matter which way you put them it's still the same answer

A different factory produces red pens and green pens, of the pens produced at the factory each week, 3/4 are red. I’m a week when 39,000 red pens are produced, the factory manager uses this equation 3/4y = 39,000. What does the variable y represent in the managers equation

Answers

Answer:

y is the total the pens produced at the factory   each week

Step-by-step explanation:

total pens produced at the factory each week   = y   (=52,000)

3/4 of the total are red ( 39,000)

2cos² 34° - 1 expressed as a single trigonometric ratio? (With explanation of steps please)

Answers

Answer:

Cos 68

Step-by-step explanation:

Given the expression 2cos² 34° - 1, we are to expression as a single trig ratio.

Let the angle be theta

Recall that sin²theta + cos²theta = 1

sin²theta  = 1 - cos²theta ... 1

also Cos 2theta = Cos²theta - sin²theta  ... 2

Substitute 1 into 2

Cos 2theta = Cos²theta - (1-cos²theta)

Cos 2theta = Cos²theta - 1 + cos²theta

Cos 2theta = 2Cos²theta - 1

Replace theta with 34

Cos 2(34)= 2Cos²(34)- 1

Cos 68 = 2Cos²(34)- 1

Hence the single trig expression is Cos 68

Find the area (in square feet) of a trapezoid

Answers

Answer:

Solution Given :

apothegm [a]=9in

perimeter [p]=13.1×5=65.5in

given

A=1/2 aP=1/2×9×65.5=294.75in²

Tom bought a banner for
his bedroom that measures 2
feet by 1 1/2 feet. What is
the area of the banner

Answers

Answer:

3 feet

Step-by-step explanation:

The area of banner is 3 because A = l * w. So 2 * 1 1/2. Is 3 feet. Make sure to include the ft. Unit.

Answer: 3 ft^2
Explanation: do width x height


One day a store sold 25 sweatshirts. White ones cost $9.95 and yellow ones cost $12.50. In all, $297.20 worth of sweatshirts were sold. How many of each color
were sold?

Answers

Answer:you will end up with 350.00 dollars left

Step-by-step explanation: you are spending money on the thing that you are buying

X square/3 - x/3 -44

Answers

Answer:

[tex]\frac{x^2}{3} - \frac{x}{3} - 44 =\frac{(x -12)(x+ 11)}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2}{3} - \frac{x}{3} - 44[/tex]

Required

Solve

Take LCM

[tex]\frac{x^2 - x - 132}{3}[/tex]

Expand

[tex]\frac{x^2 +11 x -12x- 132}{3}[/tex]

Factorize:

[tex]\frac{x(x+11) -12(x+ 11)}{3}[/tex]

[tex]\frac{(x -12)(x+ 11)}{3}[/tex]

Hence:

[tex]\frac{x^2}{3} - \frac{x}{3} - 44 =\frac{(x -12)(x+ 11)}{3}[/tex]

HELP I HAVE 3 minutes left

Answers

Answer:

The answer is C

Step-by-step explanation:

it

is

the

answer

C

Gisella has 4 pints of chicken broth. She uses 5 cups of the broth to make soup.
How much chicken broth is left?
Enter your answer in the box.
cups

Answers

Answer:

3 cups or 1.5 pints

Find the measurements of the numbered angles in each isosceles trapezoid.

Answers

Answer:

∠1 = 67°

∠2 = 67°

∠3 = 113°

Step-by-step explanation:

∠3 = 113°

∠1 = ∠2

∠1 + ∠2 + ∠3 + 113° = 360°

∠1 = (360 - 113 - 113)/2 = 67°

x = 1 + root 2 , find the value of (x - 1/x )^3​

Answers

Answer:

[tex](\sqrt{2})^3[/tex]

Step-by-step explanation:

Given the expression

[tex](x - \frac{1}{x} )^3[/tex]

Simplify

[tex](\frac{x^2-x}{x} )^3[/tex]

Given that x = 1+√2

Substitute

[tex](\frac{(1+\sqrt{2} )^2-(1+\sqrt{2} )}{1+\sqrt{2} } )^3\\=( \frac{1+2\sqrt{2} +2 - 1 - \sqrt{2}}{1+\sqrt{2}} )^3\\= (\frac{\sqrt{2}+2}{1+\sqrt{2}})^3 \\Rationalize\\= (\frac{\sqrt{2}-2+2-2\sqrt{2}}{1-2})^3 \\=( \frac{-\sqrt{2}}{-1})^3 \\= (\sqrt{2})^3\\ \\[/tex]

If Theta is an angle in standard position and its terminal side passes through the point
(-8,9), find the exact value of tan theta in simplest radical form.

Answers

Answer: - 9/8

Step-by-step explanation:

PLEASE I Can’t figure this out.


Write the slope-intercept form of the line that travels through (4,-1) and is parallel to y = 1/4x

Answers

Answer:

y = 1/4x - 2

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = 1/4x. Its slope is 1/4. A line parallel to this one will also have a slope of 1/4.

Plug this value (1/4) into your standard point-slope equation of y = mx + b.

y = 1/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -1). Plug in the x and y values into the x and y of the standard equation.

-1 = 1/4(4) + b

To find b, multiply the slope and the input of x (4)

-1 = 1 + b

Now, subtract 1 from both sides to isolate b.

-2 = b

Plug this into your standard equation.

y = 1/4x - 2

This equation is parallel to your given equation (y = 1/4x) and contains point (4, -1)

Hope this helps!

Solve for X. Leave answer in simplified radical form.

Answers

Answer:

X=5times (root2)/2

Step-by-step explanation:

Sin45=x/5

x=5sin45

x=5 times root2/2

Solve all four questions and I’ll give BRAINLIEST!!!!!

Plz help due today..

Answers

Answer:

4)120

5)13

6)70

7)115

Step-by-step explanation:

Answer: 4. 120 degrees 5. 13 degrees 6. 70 degrees 7. 115 degrees

PNC bank is offering 2.5% simple interest when you open a savings account. Josh put $5,000 in a savings account for 5 years. How much money will be in his account at the end of the 5 years?

Answers

Answer:

CAN I ASWER THIS

Step-by-step explanation:

OKAY THANKS

Hold on, our servers are swamped. Wait for your answer to fully load.

The points plotted below are on the graph of a polynomial. In what range of
x-values must the polynomial have a root? Check all that apply.

Answers

Answer:

the answer is 0 to 1 and 3 to 4

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