Pfvr alguem me ajuda !!!
pfvr alguem me ajuda !!! - 1


Answer 1


...i cant see the pic

Step-by-step explanation:

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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.)



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: 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.

If f(x)=2x-3 find the following


The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.



f(7) so put x = 7

f(7) = 2(7) - 3

f(7) = 11


f(-2) so put x = -2

f(-2) = -2×7-3

f(-2) = -17


f(-4) so put x = -4

f(-4)= -4×7-3

f(-4) = -31

Hence,The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.

For more about the function,


Step-by-step explanation:



f(7)=2× 7-3




= -14-3

b= -17

f(-4)= -4×7-3

= -28-3

= -31

2. Customers who purchase a certain model of car can order an engine in any of three sizes. Of all cars of this type sold, 45% have a small engine, 35% have a medium-sized engine, and 20% have a large engine. Of cars with the small engine, 10% fail an emission test within two years of purchase, while 12% of those with the medium size and 15% of those with the large engine fail. If a randomly chosen car of this model fails an emission test within two years, what is the probability it is a car with a small engine


Answer: 0.1397 ; 0.385

Step-by-step explanation:

Given the following :

Small engine population = 45% ; 10% fail

Medium engine population = 35% ; 12% fail

Large engine population = 20% ; 15% fail

Probability that a randomly chosen car fails emission test :

P(failure) = Σ(population % * failure %)

P(failure) = (45%*10%) + (35%*12%) + (20%*15%)

P(failure) = 0.045 + 0.042 + 0.03 = 0.117

B) what is the probability it is a car with a small engine

P = small engine cars with emission failure / total emission failure

= (0.45 × 0.1) / 0.117 = 0.045 / 0.117 = 0.3846

= 0.385

Which coordinates represent the plotted point? Check all that apply. (StartRoot 13 EndRoot, 146.3 degrees) (StartRoot 13 EndRoot, 213.7 degrees) (negative StartRoot 13 EndRoot, negative 33.7 degrees) (Negative StartRoot 13 EndRoot, negative 146.3 degrees) (−3, 2) (3, −2) (−2, 3)



A, C, E.

Step-by-step explanation:

Just did it.


A (square root 13, 146.3 degrees)

C (-squareroot13, -33.7 degrees)

E (-3,2)

Can someone please help me with this question



Step-by-step explanation:

The four sides of the quadrilateral touches the circle. This means that the opposite angles of the quadrilateral are supplementary.

It means that the sum of the angles is 180 degrees From the given diagram,

Angle B + angle R = 180

Angle B = 180 - 85

Angle B = 95 degrees

Angle D + angle I = 180

Angle D = 180 - 117

Angle D = 63 degrees


<B is 95, and <D is 63

Step-by-step explanation:

Opposite angles have sum 180, so angle of the B is 180-85=95, and angle of the D is 180-117=63

Plzzz help fast I need the answer


Answer: (The first number are the years and the second are the amount of Komodo's) (0, 0) (1, 4) (2, 20) (3, 100) (4, 500) (5, 2,500)

Step-by-step explanation:

If there are 4 Komodo's in the first year because that's when they moved in, then there would be zero in the 0 year.

If they keep multiplying their population by 5 each year then for every year, you would multiply the existing population of that year by 5

Starting at year 1 which is (1, 4)  multiply that by 5 to get 20 and so on to get the function.

I hope this helps!