Consider the function below. f(x) = 6x tan x, −π/2 < x < π/2 (a) find the vertical asymptote(s). (enter your answers as a comma-separated list. if an answer does not exist, enter dne.)

Answers

Answer 1

Answer:

Answer:

x = −π/2, x = π/2

Step-by-step explanation:

Given f(x) = 6x tan x and the interval −π/2 < x < π/2, we know that tan x has asymptotes in both extremes of the interval. To find the vertical asymptotes we evaluate the limit in the x-values we think asymptote can appear, in this case for x = −π/2 and x = π/2.

$\lim_(x \to\ (-\pi/2)-) 6x * tan x=$

$=\lim_(x\to\ (-\pi/2)-) 6x * \lim_(x\to\ (-\pi/2)-)tan x=$

$=-3 \pi * -\infty =\infty$

$\lim_(x\to\ (\pi/2)+) 6x * tan x=$

$=\lim_(x\to\ (\pi/2)+) 6x * \lim_(x\to\ (\pi/2)+)tan x=$

$=3 \pi * \infty =\infty$

Then, x = −π/2 and x = π/2 are vertical asymptotes.

Answer 2

Answer:

Answer: Does not exist.

Step-by-step explanation:

Since, given function, f(x) = 6x tan x, where −π/2 < x < π/2.

⇒ f(x) = $(6x sin x)/(cosx)$

And, for vertical asymptote, cosx= 0

⇒ x = π/2 + nπ where n is any integer.

But, for any n x is does not exist in the interval ( -π/2, π/2)

Therefore, vertical asymptote of f(x) where −π/2 < x < π/2 does not exist.

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3(5/10)-(4/8) pls asap

Answers

Answer:

-51.

Step-by-step explanation:

3 x 5 is 15

3 x 10 is 30

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Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, five green ones, four white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms.She has at least one green one.

Answers

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Below is a table showing the investment and the investment period of

Answers

Answer:

hey. pls complete your question.

You spend $28$28 on ingredients to make cookies. You charge $4$4 per container of cookies. How many containers do you need to sell to earn $20 in profit?

Answers

Let, the number of Containers = x

Then, Equation would be: 4x - 28 = 20

4x = 20 + 28

x = 48/4

x = 12

In short, Your Answer would be: 20 Containers

Hope this helps!

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What's another way to write 2^6?A. 2•6

B. 6•2

C. 2•2•2•2•2•2

D. 6•6

Answers

Answer:

Step-by-step explanation:

Answer:

C. 2•2•2•2•2•2

Step-by-step explanation:

Exponents show how many times a number is being multiplied by itself.

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What is the sum of prime numbers between 40 and 56

Answers

Answer:

184

Step-by-step explanation:

The prime numbers between 40 and 56 are 41, 43, 47, and 53.

Add the prime numbers.

41 + 43 + 47 + 53

= 184

Answer:

184

Step-by-step explanation:

Prime numbers between 40 and 56: 41, 43, 47, 53.

41+43+47+53=

84+47+53=

131+53=

184

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