پرسیاری وزاری بیرکاری 2020-2021 خولی دووەم ، خوێندنی ئینگلیزی

At which value of 𝒙 the tangent line to the graph of the function

$f\left(x\right)=-2\left(x+2\right)^3$

is horizontal

Find the equation of the line that passes through the point(−2,5) and that is parallel to the line3𝑥+𝑦=−5

The result of

$\lim_{x\rightarrow2}\frac{\sqrt{6-x}-2}{x-2}$ :

The result of

$\lim_{x\rightarrow3}\frac{2x^3-54}{3-x}$

Find the point of inflection for the function

 $f\left(x\right)=x^3-x+2$

The equation of the slant asymptote to the graph of the function

is   $f\left(x\right)=\frac{3x^2+2x-1}{x-2}$

The points of intersection of the functions

$f\left(x\right)=x^2+2x$

‏  $g\left(x\right)=x+2$ and 

Use the given graph on the right to find the result of

‎$\lim_{x\rightarrow3}f\left(x\right)$

Depending on the intermediate value theorem ( IVT ) , at which function
the equation 𝑓(𝑥) = 0 has a root between −𝟐 and 𝟎 .

Find the domain of the function

$f\left(x\right)=-\sqrt{x^2-3x-10}$

?Which of the following is true

Use the given graph on the right
to find the result of

$\lim_{x\rightarrow1-}f\left(x\right)$‏

Find the equation of the tangent line to the graph of the function

  at  x=4 $f\left(x\right)=x+\frac4x$ 

Use the intercepts, symmetry , asymptotes , first and second derivative test
to determine the graph of the function

$f\left(x\right)=\frac x{x^2-1}$

?Which of the following function is odd

‏Find the value of(𝒃) so that the points(3,−4) ,(2,𝒃) and(1,2) are collinear

Find the result of

$\lim_{x\rightarrow0}\frac{e^x-1}{\sin\left(\pi x\right)}$

( Use L’Hopital’s rule )

If

$f\left(x\right)=\frac{-4}{5-x}$

then the result of

. Which of the following graphs represents a one- to- one function?

Find the derivative of the function

$f\left(x\right)=\frac x{\sqrt{x^4+1}}$

If

$3-\left(\frac14x-1\right)^3\leq f\left(x\right)\leq3+\left(\frac14x-1\right)^3$

use the squeeze theorem to find the value of

$\lim_{x\rightarrow4}f\left(x\right)$

 The 𝑦–intercept of the line 𝑦=−3𝑥−4 is

Which of the following functions achieves the behavior

𝑓(𝑥) 𝑡𝑒𝑛𝑑𝑠 𝑡𝑜 + ∞ 𝑎𝑠 𝑥 𝑡𝑒𝑛𝑑𝑠 𝑡𝑜 − ∞ ، 𝑓(𝑥) 𝑡𝑒𝑛𝑑𝑠 𝑡𝑜 + ∞ 𝑎𝑠 𝑥 𝑡𝑒𝑛𝑑𝑠 𝑡𝑜 + ∞

 Find the slope of the tangent line to the curve

$y^4=y^2-x^2$

at the point

$\left(\frac{\sqrt3}4,\frac12\right)$ :

 If  𝑓(𝑥)=𝑎𝑥³+𝑥 find the value of  𝒂 where𝑓′(2)= 13

Find the horizontal asymptote to the graph of a function

$f\left(x\right)=\frac{5x^3-2x^2}{1-2x^3}$

In which interval is the function

increasing       $f\left(x\right)=e^{x^3-6x^2+8}$

Find the derivative of the function

  f(x)=ln x²

Find the rate of change of the distance between a particle moving on the parabola 𝑦 = 𝑥 ² + 1, and the origin at 𝑥 = 1, knowing that

$\frac{dx}{dt}=2cm/s$

The population of a city was (3 687 000) in the year 2003 and ( 4 042 000) in the year 2013
?What was the average rate of the population

The result of

$\lim_{x\rightarrow-\infty}\frac{3x}{4\cos x-2x}$

 A point moves on the x-axis , the function 𝑆(𝑡) = 12𝑡 − 𝑡³ is the position function of this point ,𝒕 is measured in seconds and 𝑺 in meters . Find the average velocity of this point during the first three seconds

Find the value of (𝒂) so that the function

‏

will be continuous at 𝑥 = 0

If

$f\left(x\right)=x^2-3x+4$

find the result of

$f\left(x+2\right)-f\left(2\right)$‏

The function

is discontinuous at 𝑥 = 1 because :

𝑓 is a function whose derivative is an increasing function, find a graph of 𝑓 where 𝑓′ < 0

? Which of the following is false

Determine the table of the function

$f\left(x\right)=c\sqrt{\left|x\right|}$

The result of

$\lim_{x\rightarrow4}\frac{x^2-5x+4}{x^2-2x-8}$

Find all the vertical asymptotes to the function

$f\left(x\right)=\frac{-1}{\cos\left(\pi x\right)}$

 If (𝑓𝑜𝑔)(𝑥) = −4𝑥(𝑥 + 1) ,then find the functions 𝑓(𝑥) and 𝑔(𝑥) .

Find the equation of the line that passes through the points (2 , 0) and (0 , −3)

? Which one is the function of the given graph

? Which of the following is false

 Find the result of

$\lim_{x\rightarrow1}\frac{\sqrt x-1}{1-x}$

Find the critical value of the function

$f\left(x\right)=x^3+6x-5$‏

Find the second derivative of the function

$f\left(x\right)=x\sin x+\cos x$

Redefine the function

$f\left(x\right)=\frac{x^2-4x-12}{x-6}$

to be continuous at𝑥=6

The range of which of the following functions is

? $\left[-\infty,-2\right]$

? What is the maximum area of a rectangle whose perimeter is ( 112 m )