Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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solve the given differential equation by using an appropriate substitut…
\(y=\tan(x + C)-x - 3\)
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solve the given differential equation by using an appropriate substitut…
$y+\frac{\sin(2(x + y))}{2}=x + C$
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solve the given differential equation by using an appropriate substitut…
$y^{3}=1 + Ce^{-3x}$
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solve the given differential equation by using an appropriate substitut…
$y = e^{-x}\text{Ei}(x)+Ce^{-x}$
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solve the given differential equation by using an appropriate substitut…
$2\sqrt{y - 2x + 4}=x + C$
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solve the given initial - value problem. the de is of the form $\frac{d…
\(\tan\frac{x + y}{2}=x + 1\)
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solve the given initial - value problem. the de is homogeneous. (x + ye…
\(e^{y/x}=\ln|x| + 1\)
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solve the given initial - value problem. the de is homogeneous. $\frac{…
$y^{3}=27x^{3}-3x^{3}\ln|x|$
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solve the given differential equation by using an appropriate substitut…
\(2\sqrt{\frac{x}{y}}=\ln|y|+C\)
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solve the given differential equation by using an appropriate substitut…
$\frac{1}{2}\ln(x^{2}+y^{2})+\arctan(\frac{y}{x})=C$
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divide the numerator and denominator by the highest power of x in the d…
$\frac{1}{2}$
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solve the given differential equation by using an appropriate substitut…
\(y =-\frac{x}{\ln|x|+C}\)
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solve the given differential equation by using an appropriate substitut…
$y=-x\ln|x|+Cx$
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find the difference quotient of f; that is, find $\frac{f(x + h)-f(x)}{…
$4x + 2h-1$
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f(x)=2x^{3}-6x^{2}-18x + 6 -5,5,1 by -60,60,10
The relative maximum value of the function $f(x)=2x^{3}-6x^{2}-18x + 6$ is 16.
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20. which two men were leading federalists? a. patrick henry and thomas…
20. B. Alexander Hamilton and James Madison 21. B. A Bill of Rights 22. B. Protect individual freedoms from government power
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16. the presidents ability to veto a law passed by congress is an examp…
16. B. Checks and balances 17. B. Federalists 18. C. Give too much power to the national government 19. A. Persuade states to ratify the Constitution
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21. anti - federalists demanded that the constitution include: a. a mon…
21. B. A Bill of Rights 22. B. Protect individual freedoms from government power 23. B. Congress overriding a presidential veto
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find f(x). f(x) = (x^2 + 8)^9
\(18(x^{2}+8)^{7}(17x^{2}+8)\)
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find $\frac{d^{2}y}{dx^{2}}$. $y = - 7x^{5}+1$ $\frac{d^{2}y}{dx^{2}}=s…
$-140x^{3}$
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find $\frac{d^{2}y}{dx^{2}}$ $y = - 6x^{4}+1$
$-72x^{2}$
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differentiate the function. y = (4x^2 - 14)^(-11) \frac{dy}{dx}=square
$-88x(4x^{2}-14)^{-12}$
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differentiate the function. y = (3x^2 - 9)^(-11) \frac{dy}{dx}=-66x(3x^…
$\frac{dy}{dx}=-66x(3x^{2}-9)^{-12}$
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differentiate. f(x)=\frac{1}{5x - 2} f(x)=square
$-\frac{5}{(5x - 2)^2}$
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differentiate. f(x)=\frac{1}{9x - 8} f(x)=\frac{-9}{(9x - 8)^2}
$F'(x)=-\frac{9}{(9x - 8)^2}$
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differentiate. g(x)=\frac{5x - 3}{8x + 5}+x^{3} g(x)=square
\(\frac{49}{(8x + 5)^{2}}+3x^{2}\)
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differentiate the function. y = (5x^4 - x + 1)(-x^5 + 8) y =
$-45x^{8}+6x^{5}-5x^{4}+160x^{3}-8$
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differentiate the function. y = (8x^4 - x + 2)(-x^5 + 2) y = - 72x^8+6x…
$-72x^{8}+6x^{5}-10x^{4}+64x^{3}-2$
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for the function, find the points on the graph at which the tangent lin…
A. $(\frac{1}{4},\frac{15}{4})$
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for the function, find the points on the graph at which the tangent lin…
A. $(\frac{1}{5},\frac{19}{5})$
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find the derivative of the following function. y = 9x^{-\frac{5}{2}}+2x…
$-\frac{45}{2x^{\frac{7}{2}}}-\frac{1}{x^{\frac{3}{2}}}+3x^2$
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find the derivative of the following function. y = 5x^{-\frac{3}{2}}+4x…
$y'=-\frac{15}{2}x^{-\frac{5}{2}}-2x^{-\frac{3}{2}}+11x^{10}$
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question answer all of the questions below about the function f(x) grap…
\(\lim_{x\to - 4^{-}}f(x)=0\), \(\lim_{x\to - 4^{+}}f(x)=0\), \(\lim_{x\to - 4}f(x)=0\), \(f(-4)=\text{undefined}\)
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differentiate. y = 4x^3 - 5x^2 + 8x + 4 dy/dx = □
$12x^2-10x + 8$
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differentiate. y = 3x^3 - 10x^2 + 32x + 6
$\frac{dy}{dx}=9x^2-20x + 32$
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list the points in the graph in the interval - 2 < x < 8 at which the f…
2, 4, 6
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find an equation for the tangent line to the graph of the given functio…
$y=-10x - 27$
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by determining $f(x)=lim_{h \to 0}\frac{f(x + h)-f(x)}{h}$, find $f(8)$…
96
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an object dropped from rest from the top of a tall building on planet x…
80
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use the graph to answer these questions a find lim f(x) and lim f(x) x→…
a. \(\lim_{x\to3^{+}}f(x)=4\), \(\lim_{x\to3^{-}}f(x)=2\) b. \(\lim_{x\to3}f(x)\) does not exist c. \(f(3)=4\) d. \(f(x)\) is not continuous at \(x = 3\) because \(\lim_{x\to3}f(x…
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the initial substitution of x = a yields the form $\frac{0}{0}$. simpli…
A. $\lim_{x ightarrow14}\frac{x^{2}+3x - 238}{x^{2}-196}=\frac{31}{28}$
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find the given limit. lim (2x^4 - 5x^3 + 9) x→2 lim (2x^4 - 5x^3 + 9) =…
$1$
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find the given limit. lim (3x^4 - 8x^3 + 9) x→1 lim (3x^4 - 8x^3 + 9) =…
4
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graph the following function and then find the specified limit. when ne…
The limit \(\lim_{x ightarrow1}G(x)=1\)
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graph the following function and then find the specified limit. when ne…
A. \(\lim_{x ightarrow1}G(x)=1\)
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<scenario> ms. l, a preschool teacher, is preparing for a parent - teac…
1. Review observation and assessment data: To have more in - depth information about Jordan's progress and set clear learning goals. 2. Allocate time for parent input: To gain a c…
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identify and discuss at least two reasons why face - to - face communic…
- Reason 1: Busy schedules of teachers and parents. Strategy: Pre - scheduled short meetings. - Reason 2: Geographical constraints. Strategy: Use of video conferencing tools.
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the united states uses government regulations, such as tariffs, embargo…
c) Trade protectionism
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differentiate the function. y = (8x^4 - x + 2)(-x^5 + 2) y =
$-72x^{8}+6x^{5}-10x^{4}+64x^{3}-2$
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find an equation for the tangent line to the graph of the given functio…
$y=-8x - 25$
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by determining $f(x)=lim_{h ightarrow0}\frac{f(x + h)-f(x)}{h}$, find $…
48
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an object dropped from rest from the top of a tall building on planet x…
320
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use the graph to answer these questions a find $lim_{x ightarrow4^{+}}f…
a. \(\lim_{x\to4^{+}}f(x)=5\), \(\lim_{x\to4^{-}}f(x)=2\) b. The limit does not exist c. \(f(4)=2\) d. \(f(x)\) is not continuous at \(x = 4\) because \(\lim_{x\to4}f(x)\) does no…
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graph the following function and then find the specified limit. when ne…
The limit \(\lim_{x ightarrow0}G(x)=0\)
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graph the following function and then find the specified limit. when ne…
A. \(\lim_{x ightarrow0}G(x)=0\)
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use the graph of h shown to the right to find the limit. if necessary, …
A. \(\lim_{x\to0}H(x)=6\)
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2 mark for review the rational function r is given by r(x) = \\(\\frac{…
D. The degree of \(p\) is equal to the degree of \(q\), and \(\lim_{x ightarrow\infty}r(x)=\frac{2}{9}\) (Note: There was an error in the original options, the correct limit for r…
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question 18. you should limit your communication with the captor to whi…
B. Ask to be returned to U.S. control C. Address health and welfare concerns D. Identify yourself
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directions: - provide a solution for every problem, place your final an…
1. $0$ 2. $\frac{3}{4}$
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10 multiple choice 0.5 points communication of testing or assessment re…
should be an integral part of the counseling process.
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the french and indians the number of each not known had so we found aft…
B. clear bias against the officers C. lack of access to some information
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parliament created the petition of right over concerns about the monarc…
absolutism
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parliament created the petition of right over concerns about the monarc…
tyranny, absolutism
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the magna carta placed limits on the government and indicated that the …
must obey the law
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how did the magna carta change the relationship between the monarch and…
It placed limits on the monarch's power.
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what was one effect of the english bill of rights? it decreased the rig…
C. It limited the power of the monarchy.
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how did segregation impact the experience of black workers in the ccc c…
C. Black workers were in separate groups and assigned different, sometimes more limited jobs, affecting their opportunities within the CCC.
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how did segregation impact the experience of black workers in the ccc c…
B. Black workers were in separate groups and assigned different, sometimes more limited jobs, affecting their opportunities within the CCC.
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which limits were part of the habeas corpus act? choose three correct a…
limits on the monarchy limits on arrests limits on imprisonment without trial
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what was one common critique of the ccc? it was racially segregated and…
It was racially segregated and had gender limitations.
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bangladesh has 2,596 persons per square mile, while the united states h…
B. population densities
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$int sec x dx$
$\ln|\sec x+\tan x|+C$
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collin is writing a compare and contrast paragraph about different lang…
D. Spanish would be more useful for students in everyday life.
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ww2: problem 5 (1 point) use the given graphs of the function ( f ) (in…
Since the specific $x$ - values for which the limits are taken are not clear from the image, we cannot provide numerical answers. The general rules for calculating the limits are:…
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a heavy rope, 60 ft long, weighs 0.7 lb/ft and hangs over the edge of a…
(a) The work done in pulling the entire rope to the top of the building: Riemann sum: $\lim_{n ightarrow\infty}\sum_{i = 1}^{n}(0.7x_i)\Delta x$ Integral: $\int_{0}^{60}0.7x dx$ V…
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you have only one attempt for this question. the gravitational force ex…
Yes
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you have only one attempt for this question. it is true that if $f$ is …
no
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consider the functions and (f(x)=\begin{cases}2&0leq x\\0&x < 0end{case…
(a) yes (b) no (c) yes (d) no (e) yes (f) no (g) yes
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find the value of the constant c that makes the following function cont…
$\frac{3}{14}$
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which of the following functions ( f ) has a removable discontinuity at…
(a) The discontinuity is removable. $g(x)=x + 1$ (b) The discontinuity is removable. $g(x)=x^{2}+2x$ (c) The discontinuity is not removable. $g(x)=$ONE
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find the values of a and b that make f continuous everywhere. f(x)=\beg…
\(a=\frac{7}{2}\), \(b=\frac{13}{2}\)
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13. -/6.25 points for what value of the constant c is the function f co…
$\frac{7}{4}$
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part 1 of 2 note that f is continuous on (-∞, 4) and (4, ∞). for the fu…
Left - hand limit: \(16a + 12\); Right - hand limit: \(64 - 4c\)
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use continuity to evaluate the limit. $lim_{x ightarrowpi}4sin(x + sin …
0
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10. - / 6.25 points explain, using the theorems, why the function is co…
1. B. $F(x)$ is a rational function, so it is continuous at every number in its domain. 2. $(-\infty,\infty)$
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suppose f and g are continuous functions such that g(2) = 5 and lim_{x→…
3
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which of the following are continuous functions? (select all that apply…
The temperature at a specific location as a function of time. The temperature at a specific time as a function of the distance due west from New York City. The altitude above sea …
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(b) locate the discontinuities of t. (enter your answers as a comma - s…
\(t = 7,10,16,19\) jump Because of the sudden jumps in the toll, drivers may want to avoid the higher rates between \(t = 7\) and \(t = 10\) and between \(t = 16\) and \(t = 19\) …
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from the graph of f, state each x - value at which f is discontinuous. …
Without the actual graph details, we cannot provide specific \(x\) - values and continuity types. But the process to find the \(x\) - values of discontinuity and their left/right …
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the graph of a function is given. (a) find all the local maximum and mi…
local maximum (x,y)=( - 2,2) (smaller x - value) local maximum (x,y)=(2,0) (larger x - value) local minimum (x,y)=( - 4,-2) (smaller x - value) local minimum (x,y)=(0,-3) (larger …
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from the graph of f, state each x - value at which f is discontinuous. …
\(x=-2\), continuous from the right \(x = 2\), continuous from the left \(x=4\), continuous from the left
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1. - / 6.25 points if f is continuous on (-∞, ∞), what can you say abou…
none of these
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the graph of a function is given. (a) find all the local maximum and mi…
local maximum $(x,y)=(0, 3)$ local minimum $(x,y)=( - 2,-1)$ (smaller x - value) local minimum $(x,y)=(2,2)$ (larger x - value)
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let $f(x)=\\begin{cases}x^{2}+1&\\text{if }x < 2\\\\(x - 3)^{2}&\\text{…
(a) $\lim_{x ightarrow2^{-}}f(x)=5$ $\lim_{x ightarrow2^{+}}f(x)=1$ (b) No (c) To sketch the graph: - For $y=x^{2}+1$ when $x < 2$, it is a parabola opening upwards with vertex at…
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25. - / 3.84 points evaluate the limit, if it exists. (if an answer doe…
$\frac{1}{6}$
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chief justice earl warren stated, separate educational facilities are i…
By its very definition, it cannot be equal.
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24. - / 3.84 points find the number a such that the limit exists. $lim_…
$a = 15$ $-1$
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22. 0 / 3.84 points find the limit. (if an answer does not exist, enter…
6
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22. - / 3.84 points find the limit. (if an answer does not exist, enter…
6
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g(x) = \\begin{cases}x & \\text{if }x < 1 \\\\ 4 & \\text{if }x = 1 \\\…
(i) 1 (ii) 1 (iii) 4 (iv) - 2 (v) 0 (vi) DNE