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3 years ago

The vertical number line on the Coordinate Plane is called the

Mathematics

1 answer:

Assoli18 [71]3 years ago

7 0

Answer: y axis

Just think the yo yo goes up and down

Step-by-step explanation:

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Evaluate : limx→ tan2-sin2x x3

GrogVix [38]

Given:

$\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}$

Solve:

$\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}$

Use l'hopital's rule:

$\begin{gathered} =\lim _{x\to0}\frac{\frac{d}{dx}(-\sin 2x+\tan 2x)}{\frac{d}{dx}(x^3)} \\ =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \end{gathered}$

Simplify:

$\begin{gathered} =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \\ =\lim _{x\to0}\frac{2(-\cos (2x)+\tan ^2(2x)+1)}{3x^2} \end{gathered}$

Apply the constant multiple rule:

$\begin{gathered} \lim _{x\to0}cf(x)=c\lim _{x\to0}f(x) \\ \text{With c=}\frac{2}{3} \\ f(x)=\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2} \end{gathered}$ $\begin{gathered} =\frac{2\lim _{x\to0}\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2}}{3} \\ =\frac{2\lim _{x\rightarrow0}\frac{(4\tan ^2(2x)+4)\tan (2x)+2\sin (2x)}{2x}}{3} \end{gathered}$

Similary :

$\begin{gathered} =\frac{2\lim _{x\to0}(2\cos (2x)+12\tan ^4(2x)+16\tan ^2(2x)+4)}{3} \\ =\frac{2(6)}{3} \\ =4 \end{gathered}$

8 0

1 year ago

The finances of a group of pet owners were analyzed to determine how much they were spending on their pet(s) each year. A graph

inysia [295]

Answer:

Step-by-step explanation:

i done it and it c

6 0

2 years ago

Find the value of x in 19 and 20 so that f(x)=7

mafiozo [28]

Answer:

Part 19) x=5

Part 20) x=-3

Step-by-step explanation:

Problem 19) Find the value of x so that f(x)=7

step 1

Find the intersection point of the given line in the graph with the line y=7

The intersection point is (5,7)

see the attached figure

therefore

The x-coordinate of the intersection point is the value of x when f(x)=7

x=5

f(5)=7

Problem 20) Find the value of x so that f(x)=7

step 1

Find the intersection point of the given line in the graph with the line y=7

The intersection point is (-3,7)

see the attached figure

therefore

The x-coordinate of the intersection point is the value of x when f(x)=7

x=-3

f(-3)=7

8 0

3 years ago

Type the missing number in this sequence:<br><br> 10, 13, 17, ____, 28, 35, 43

vredina [299]

Explanation: 10+3=13 13+4=17 17+5=22

8 0

2 years ago

Which of the following numbers can be expressed as decimals that terminate? 5/2 4/5 2/7 4/3

gulaghasi [49]

4/5,5/2 are the only ones that terminate

6 0

3 years ago

Read 2 more answers