Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$x=\frac{5\pi}{6}+k\pi$ $\newline$ Solve the equation in the interval 0 \leq x < 2\pi. $\newline$ $3\tan x-\sqrt{3}=0$

View step-by-step help

View step-by-step help

Full solution

Q.

x=\frac{5\pi}{6}+k\pi

\newline

Solve the equation in the interval

0 \leq x < 2\pi

.

\newline

3\tan x-\sqrt{3}=0

Question Prompt: Question Prompt: Solve the equation $3\tan x - \sqrt{3} = 0$ for $x$ in the interval 0 \leq x < 2\pi, given $x = \left(\frac{5\pi}{6}\right) + k\pi$ .
Step $1$ : Step $1$ : Simplify the given equation to find $x$ . $3\tan x = \sqrt{3}$ $\tan x = \frac{\sqrt{3}}{3}$ This implies $x = \arctan(\frac{\sqrt{3}}{3})$ .

More problems from Euler's method

Question

f(x)=x^{3}-6 x^{2}+12 x

c

be the number that satisfies the Mean Value Theorem for

f

on the interval

[0,3]

\newline

c

\newline

1

\newline

0

\newline

1

\newline

2

\newline

3

Posted 8 months ago

Question

g(x)=x^{3}+12 x^{2}+36 x

c

be the number that satisfies the Mean Value Theorem for

g

on the interval

-8 \leq x \leq-2

\newline

c

\newline

1

\newline

-7

\newline

-6

\newline

-3

\newline

-1

Posted 8 months ago

Question

h(x)=x^{3}-6 x^{2}-10 x

c

be the number that satisfies the Mean Value Theorem for

h

on the interval

[-4,5]

\newline

c

\newline

1

\newline

-2

\newline

-1

\newline

1

\newline

3

Posted 8 months ago

Question

g(x)=2 x^{3}-21 x^{2}+60 x

\newline

What is the absolute maximum value of

g

over the closed interval

[0,6]

\newline

1

\newline

25

\newline

42

\newline

36

\newline

52

Posted 7 months ago

Question

f(x)=2 x^{3}+21 x^{2}+36 x

\newline

What is the absolute maximum value of

f

over the closed interval

[-8,0]

\newline

1

\newline

32

\newline

\mathbf{1 8 0}

\newline

\mathbf{1 0 8}

\newline

0

Posted 8 months ago

Question

h(x)=x^{3}+6 x^{2}+2

\newline

What is the absolute minimum value of

h

over the closed interval

-6 \leq x \leq 2

\newline

1

\newline

34

\newline

-34

\newline

2

\newline

-2

Posted 8 months ago

Question

1,000=20z^{2}

\newline

How many distinct real solutions does the given equation have?

\newline

1

\newline

0

\newline

1

\newline

2

\newline

4

Posted 8 months ago

Question

Dante commutes to work

4

mornings a week. For his commute each morning, he walks for

10

minutes, waits and rides the bus for

x

minutes, and waits and rides the train for

y

minutes. If Dante spends at least

3.5

hours on his morning commute each week, which of the following inequalities best describes Dante's weekly morning commute?

\newline

1

\newline

x+y+10 \geq 3.5(60)

\newline

x+y+10 \geq 3.5(60)(4)

\newline

4(x+y)+10 \geq 3.5(60)

\newline

4(x+y+10) \geq 3.5(60)

Posted 8 months ago

Question

\frac{1}{3}x+3y=4

\newline

2x-4=2y

\newline

Consider the given system of equations. If

(x,y)

is the solution to the system, then what is the value of

x-y

\newline

\square

Posted 8 months ago

Question

Which of the following is the derivative

\frac{d y}{d x}

for the plane curve defined by the equations

x(t)=\frac{1}{2} \sin 2 t

y(t)=2 \cos 2 t

0 \leq t \leq 2 \pi

\newline

Select the correct answer below:

\newline

4 \cot 2 t

\newline

\tan 4 t

\newline

-\tan 4 t

\newline

-4 \tan 2 t

Posted 6 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant