Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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a function (f(x)) is said to have a removable discontinuity at (x = a) …
6
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a function (f(x)) is said to have a removable discontinuity at (x = a) …
\(-\frac{1}{3}\)
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assignment 3: problem 11 (1 point) find the value of the constant c tha…
$\frac{8}{15}$
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find the value of the constant a that makes the following function cont…
\(19\)
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enter a letter and a number for each formula below so as to define a co…
a, 3; b, 1; D, - 6
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enter a letter and a number for each formula below so as to define a co…
For $\frac{x^{2}-6x + 5}{|x - 1|}$ when $x < 1$, we can match it with $A$ (since $\lim_{x ightarrow1^{-}}\frac{x^{2}-6x + 5}{|x - 1|}=4$ and $\lim_{x ightarrow1^{+}}(-x^{2}+4)=3$ …
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enter a letter and a number for each formula below so as to define a co…
For $\frac{1-\cos(x\pi)}{x + 1}$ when $x < 1$: B, 1 For $\frac{\sin(2x - 2)}{x - 1}+1$ when $x < 1$: A, 3
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enter a letter and a number for each formula below so as to define a co…
Second function: B, 1
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assignment 3: problem 8 (1 point) evaluate the limit $lim_{x ightarrow0…
$\frac{1}{4}$
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assignment 3: problem 7 (1 point) evaluate the limit $lim_{x ightarrow0…
$\frac{5}{4}$
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assignment 3: problem (1 point) evaluate $lim_{t ightarrow0}\frac{sin 4…
$\frac{4}{9}$
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evaluate the limit $lim_{x ightarrow0}\frac{sin(2x)}{8x}=$
$\frac{1}{4}$
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assignment 3: problem 4 (1 point) let $f(a)=\frac{5}{a - 8}-\frac{80}{a…
$\frac{5}{16}$
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calculate the following limits by direct substitution. $lim_{x ightarro…
1. \(6\) 2. \(-9\) 3. \(-2\) 4. \(\frac{1}{2}\) 5. \(-5\) 6. \(-6\)
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let $f(x)=\frac{x^{2}-9x + 18}{x^{2}+3x - 18}$. calculate $lim_{x ighta…
$-\frac{1}{3}$
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which piece of legislation was designed to limit the power of monopolie…
the Sherman Antitrust Act
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calculate the values of the following limits. simplify your answers as …
\(1\) ### ii)
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quiz instructions for each of the ten sentences, you must read the dire…
cause uneven heat flow and limit
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extra credit - module 2 question 9 of 15 (1 point) | question attempt: …
To find the \(y\)-intercept, set \(x = 0\) on the line. To find the \(x\)-intercept, set \(y = 0\) on the line. Without the equation of the line from the graph, we can't give nume…
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22. which of the following statements about speed limits for cars in no…
22. A. I only 23. B. II only
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22. which of the following statements about speed limits for cars in no…
C. Both I and II
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consider the following. f(u) = 7u^4 - 2u h(u) = u + 1 find f(u) and h(u…
$G^{\prime}(u)=\frac{21u^{4}+28u^{3}-2}{(u + 1)^{2}}$
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suppose you wish to show that the equation $xcos(x)=ln(x)$ has at least…
Since $f(x)$ is continuous on $[1.0,5.0]$, $f(1.0)=0.54>0$, $f(5.0)=-0.191<0$, by the Intermediate - Value Theorem, there exists a number $c$ in $(1.0,5.0)$ such that $f(c) = 0$.
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differentiate. y = \\frac{e^{x}}{8 - e^{x}}
$\frac{8e^{x}}{(8 - e^{x})^{2}}$
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show how to use the intermediate value theorem to show that the equatio…
2
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which of the following statements is correct? a hostile takeover is the…
B. A corporation is a legal entity created by a state, and it has a life and existence that is separate from the lives and existence of its owners and managers.
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which of the following statements is correct? corporations face few reg…
One advantage to forming a corporation is that the owners of the firm have limited liability.
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which of the following statements is correct? because bankruptcy requir…
Since bondholders receive fixed payments, they do not share in the gains if risky projects turn out to be highly successful. However, they do share in the losses if risky projects…
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which of the following statements is correct? due to limited liability,…
Due to legal considerations related to ownership transfers and limited liability, which affect the ability to attract capital, most business (measured by dollar sales) is conducte…
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question 33 (2.5 points) listen which of the following statements is co…
C. It is usually easier to transfer ownership in a corporation than in a partnership.
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which of the following statements is correct? if you purchase 100 share…
As they are generally defined, money market transactions involve debt securities with maturities of less than one year.
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for what value of the constant c is the function f continuous on (-∞, ∞…
$c=\frac{20}{3}$
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multiple choice: conceptual you recently sold 100 shares of microsoft s…
This is an example of a direct transfer of capital.
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which of the following statements is correct? one disadvantage of organ…
The managers of established, stable companies sometimes attempt to get their state legislatures to impose rules that make it more difficult for raiders to succeed with hostile tak…
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which of the following statements is correct? a good goal for a firms m…
C. Conflicts can exist between stockholders and managers, but potential conflicts are reduced by the possibility of hostile takeovers.
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which of the following statements is correct? corporations are taxed mo…
E. Bond covenants are designed to protect bondholders and to reduce potential conflicts between stockholders and bondholders.
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find a formula for a function f that satisfies the following conditions…
\(f(x)=\frac{x - 2}{x(x - 8)}\)
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which of the following statements is correct? if a corporation elects t…
One danger of starting a proprietorship is that you may be exposed to personal liability if the business goes bankrupt. This problem would be avoided if you formed a corporation t…
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question 3 unlike our duties as citizens, our responsibilities are limi…
D. voluntary
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$\frac{d}{dx}left(\frac{4(6.4)(-x + 4sqrt{3})}{sqrt{(-x + 4sqrt{3})^2+2…
$\frac{-656}{((-x + 4\sqrt{3})^2+25)^{\frac{3}{2}}}$
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here is a graph of the function f. use the graph to find the following.…
All local maximum values of \(f\): \(3,1\) All values at which \(f\) has a local maximum: \(-2,3\)
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find the equation of the line tangent to the graph of f at the indicate…
$y=\frac{6}{e^2}x + 6$
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first use appropriate properties of logarithms to rewrite f(x), and the…
$-\frac{1}{x}$
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find the equation of the line tangent to the graph of f at the indicate…
$y = 7x+5$
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find f(x). f(x)=3 ln x + 4e^x - 5x^2 f(x)=□
$\frac{3}{x}+4e^x - 10x$
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what is the most significant limitation of this document for a reader t…
It was created to persuade people, not to provide an objective point of view.
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some workers such as nurses, firefighters and police officers have a li…
True
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you can play at the water table or the art table, is an example of redi…
B. giving choices
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suppose that (f(x)=10 - 2e^{-x}). (a) list all critical numbers of (f).…
1. **Find the derivative of \(y = f(x)=10 - 2e^{-x}\)**: - Recall the derivative of \(e^{-x}\) is \(-e^{-x}\). Using the sum - rule and constant - multiple rule of differentiation…
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suppose that $f(x)=(8 - 2x)e^{x}$. note: several parts of this problem …
A. \(x = 3\) ## Step3: Determine intervals of increase and decrease Choose test - points. For \(x\lt3\), let \(x = 0\), then \(f^\prime(0)=(6-0)e^{0}=6\gt0\), so \(f(x)\) is incre…
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principles of the constitution now that you have watched a video explai…
1. Checks and Balances 2. Federalism 3. Federalism 4. Judicial Rule
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exam number: 700110rr exam guidelines exam instructions question 20 of …
C. run for a third term.
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consider the function (f(x)=\frac{x^{2}}{5x^{2}+3}). list the (x) value…
$x = 1,x=-1$
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which principle, found in americas founding documents, ensures that all…
B. Due process of law
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match the surfaces $z = f(x,y)$ with the verbal description of the leve…
1. C 2. B 3. A 4. D 5. F 6. E
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question 1-3 how does the naturalization process impact the political p…
B. It increases the diversity of perspectives and participation in elections.
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match each function with its contour plot. click on a graph to make it …
1. B 2. A 3. C 4. D
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match the functions with the graphs of their domains. 1. $f(x,y)=sqrt{x…
1. B 2. A 3. C
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3. find the linear approximation for $y = sqrt3{x}$ for $a = 125$. then…
For $\sqrt[3]{126}\approx5.013$, for $\sqrt[3]{125.50}\approx5.007$
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2. a man walks along a straight path at a speed of 5 $\frac{ft}{s}$. a …
$\frac{4}{25}$ rad/s
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1. water is being drained from a container which has the shape of an in…
$-\frac{21952}{405}\pi$ in³/s
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the function $f(x)=\frac{3x}{8 - \tan(x)}$ is a quotient, so well need …
$\sec^{2}(x)$
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10. - / 1 points find the limit. $lim_{x ightarrow1}\frac{sin(x - 1)}{x…
$\frac{1}{3}$
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find the limit. lim_{x ightarrow0}\frac{sin(8x)}{9x^{3}-5x}
$-\frac{8}{5}$
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find the values of x on the curve y = \\frac{\\cos(x)}{2 + \\sin(x)} at…
$x=\frac{7\pi}{6}+2n\pi,\frac{11\pi}{6}+2n\pi$
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find an equation of the tangent line to the curve at the given point. y…
$y=x-\pi - 1$
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a graphing calculator is recommended. let y = 12x sin(x). (a) find y(x)…
$y'(x)=12\sin(x)+12x\cos(x)$ $y = 12x$
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describe the relationship between the two graphs. note that f = 0 where…
Note that $f' = 0$ where $f$ has a maximum. Also note that $f'$ is negative when $f$ is decreasing and $f'$ is positive when $f$ is increasing.
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a graphing calculator is recommended. let f(x) = sec(x) - x. (a) find f…
$\sec(x)\tan(x)-1$
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differentiate. h(\\theta)=\\theta^{2}\\sin(\\theta) h(\\theta)=
$2\theta\sin(\theta)+\theta^{2}\cos(\theta)$
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at 2:00 p.m. a cars speedometer reads 30 mi/h. at 2:30 p.m. it reads 50…
First blank: $40$; Second blank: $\frac{1}{2}$; Third blank: $40$
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suppose that 3 ≤ f(x) ≤ 4 for all values of x. what are the minimum and…
$15\leq f(8)-f(3)\leq20$
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5. - / 1 points if f(4) = 9 and f(x) ≥ 3 for 4 ≤ x ≤ 9, how small can f…
\(f(9)\geq24\)
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let (f(x)=(x - 3)^{-2}). find all values of (c) in ((2,5)) such that (f…
DNE This does not contradict the Mean Value Theorem since \(f\) is not continuous at \(x = 3\).
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consider the following function. f(x)=1 - x^{2/3} find f(-1) and f(1). …
\(f(-1)=0\) \(f(1)=0\) \(c=\text{DNE}\) This does not contradict Rolle's Theorem, since \(f^\prime(0)\) does not exist, and so \(f\) is not differentiable on \((-1,1)\)
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verify that the function satisfies the three hypotheses of rolles theor…
$1$
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consider the following. f(x) = x sin(x) find the first derivative of th…
$f'(x)=\sin(x)+x\cos(x)$ $f''(x)=2\cos(x)-x\sin(x)$
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quiz 6 - requires respondus lockdown browser + webcam started: sep 27 a…
A. $\frac{x}{6}+\frac{3}{2}$
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consider the following. $f(x)=\frac{x}{x - 3}$ find the first derivativ…
$f'(x)=-\frac{3}{(x - 3)^{2}}$ $f''(x)=\frac{6}{(x - 3)^{3}}$
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question 3 4 pts each side of a square is increasing at a rate of 3 cm/…
E. $18\frac{cm^{2}}{s}$
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use the quotient rule to find the derivative of the function. $g(x)=\fr…
$g^\prime(x)=\frac{x\cos(x)-7\sin(x)}{x^{8}}$
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30. le graphique suivant représente le quartier dune ville. déterminer …
9 maisons
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30. le graphique suivant représente le quartier dune ville. déterminer …
21
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gravel is being dumped from a conveyor belt at a rate of 35 ft³/min and…
$0.20$ ft/min
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use the product rule to differentiate the function. f(x) = x^5 cos(x)
$f^\prime(x)=5x^{4}\cos(x)-x^{5}\sin(x)$
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use the product rule to find the derivative of the function. h(t) = √t(…
$h'(t)=3t^{-\frac{1}{2}}-\frac{5}{2}t^{\frac{3}{2}}$
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section c : inéquations à deux variables 29. le graphique suivant repré…
7
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from beowulf translated by burton raffel anchor text | epic poetry 5. h…
The poem Beowulf, by maintaining the memory of its hero Beowulf, preserves cultural values like heroism, loyalty, and the dichotomy of good and evil which were integral to the Ang…
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given the function f(x)=4ln(x + 3), write an expression that represents…
\(\lim_{h ightarrow0}\frac{4\ln(x + h+3)-4\ln(x + 3)}{h}\)
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given the function $f(x)=e^{2x}$, determine the derivative of $f$ at $x…
$\lim_{x ightarrow5}\frac{e^{2x}-e^{10}}{x - 5}$
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given the function f(x)=x^2 + 2x, determine the slope of the tangent li…
$\lim_{h ightarrow0}\frac{(8 + h)^{2}+2(8 + h)-(8^{2}+2\times8)}{h}=\lim_{h ightarrow0}\frac{h^{2}+18h}{h}$
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given the function $f(x)=e^{x - 5}$, determine the derivative of $f$ at…
$\lim_{x ightarrow - 1}\frac{e^{x - 5}-e^{-6}}{x + 1}$
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given the function $f(x)=\frac{1}{3x}$, determine the instantaneous rat…
$-\frac{1}{75}$
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given the function $f(x)=\frac{1}{3x}$, determine the instantaneous rat…
$\lim_{h ightarrow0}\frac{\frac{1}{3(5 + h)}-\frac{1}{15}}{h}$ or $\lim_{h ightarrow0}\frac{10 - h}{45h(5 + h)}$
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given the function $f(x)=x^{5}$, write an expression that represents th…
$\lim_{h ightarrow0}\frac{(x + h)^{5}-x^{5}}{h}$
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given the function $f(x)=3ln(x + 2)$, determine the instantaneous rate …
$\lim_{h ightarrow0}\frac{3\ln(h + 7)-3\ln(7)}{h}$
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given the function $f(x)=3ln(x + 2)$, determine the instantaneous rate …
$\frac{3}{7}$
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given the function $f(x)=3ln(x - 2)$, determine the instantaneous rate …
$3\lim_{h ightarrow0}\frac{\ln(1+\frac{h}{5})}{h}$
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given the function $f(x)=2x^{5}-3x^{3}$, determine the derivative of $f…
$\lim_{h ightarrow0}\frac{2(-7 + h)^{5}-3(-7 + h)^{3}-(2(-7)^{5}-3(-7)^{3})}{h}$
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given the function $f(x)=2cos x$, determine the derivative of $f$ at $x…
$\lim_{h ightarrow0}\frac{2\cos(\frac{\pi}{3}+h)-2\cos\frac{\pi}{3}}{h}$