Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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let ( h(x)=x^{2}-6x ). (a) find the average rate of change from 5 to 8.…
(a) \( 7 \) (b) \( y = 7x-40 \)
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what type of narrator is a nonparticipant narrator that does not see in…
A. Objective narrator
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15 multiple choice 1 point elective procedures are more likely to be ag…
15. they represent discretionary purchases 16. Continued high rates of immigration into the United States
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the polynomial function ( f ) is an odd function with domain ( -4leq xl…
\(3\) (corresponding to option B)
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analyze the polynomial function ( f(x)=x^{2}(x - 14) ) using parts (a) …
B.
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8. on appuie une échelle de 10 m contre un mur. si le pied de léchelle …
Le sommet de l'échelle descend à la vitesse de \(\frac{8}{3}\) m/s.
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$$ lim _ { x ightarrow 3 } \frac { x ^ { 2 } - 6 x + 9 } { x ^ { 2 } - …
\(0\)
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(7) $$ lim _ { x ightarrow 0 } \frac { e ^ { x } - 1 } { 3 x } $$
\(\frac{1}{3}\)
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三、find each indefinite integral: (1) $\\int 1 - x^{2}dx$
$x-\frac{x^{3}}{3}+C$
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(1) $\\int 1 - x ^ { 2 } d x =$
$$x-\frac{x^{3}}{3}+C$$
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(2) $\\int 5x^{7}dx =$
$\frac{5}{8}x^{8}+C$
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(4) $\\int (-3\\sin x - \\cos x)dx$
$3\cos x-\sin x + C$
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maria created a graph of ( b(t) ), the temperature over time. for the i…
The temperature was 32 degrees higher when \(t = 7\) than when \(t = 3\).
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t(d) is a function that relates the number of tickets sold for a movie …
The same number of tickets was sold on the fourth day and tenth day.
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what is the average rate of change in ( f(x) ) over the interval (4,13)?
\(\frac{1}{3}\)
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the average rate of change from ( x = 0 ) to ( x = 16 ) is about -4.667…
\(-4.9\)
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algerias struggles after independence can be, in part, traced to france…
limiting the ability of Algerian Muslims to become French citizens.
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algerias struggles after independence can be, in part, traced to france…
limiting the ability of Algerian Muslims to become French citizens.
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how did the us congress respond to the signing of the salt ii (strategi…
Congress refused to ratify the treaty.
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how did nazi rule affect the lives of german people? select three answe…
- The media was censored to promote only Nazi ideology. - Nazi propaganda was shown to children. - Intense nationalism and shows of patriotism were widespread.
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write the integral in terms of ( u ) and ( d u ). then evaluate. int \f…
$\frac{(\ln(x))^{10}}{10}+C$
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calculate the derivative. (use symbolic notation and fractions where ne…
\(\sec(2t - 7)\)
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which is one way saudi arabia protects its traditional culture from wes…
Muslim law must be followed above all other law.
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trade blocs help countries by limiting competition. increasing barriers…
allowing the pooling of resources.
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use a graphing calculator and a system of equations to find the roots o…
\(-2\) and \(0\)
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if ( f(x)=4+\frac{7}{x}+\frac{6}{x^{2}} ), find ( f^{prime}(x) ). find …
\(f^{\prime}(4)=-\frac{5}{8}\), \(f^{\prime\prime}(x)=\frac{14}{x^{3}}+\frac{36}{x^{4}}\), \(f^{\prime\prime}(4)=\frac{23}{64}\)
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if ( f(x)=\frac{7 e^{x}}{11}-\frac{9 x^{5}}{16}+2 ), find ( f^{prime}(x…
\(f^\prime(x)=\frac{7e^x}{11}-\frac{45x^4}{16}\)
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suppose that $f$ is a function defined as $f(x)=-3x^{3}+x^{2}+7$. find …
\(y=-7x + 12\)
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find the derivative of $f(x)=5\\sqrt{x}+\\frac{3}{x^{10}}$. type your a…
\(f^{\prime}(x)=\frac{5}{2\sqrt{x}}-\frac{30}{x^{11}}\)
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watch the video and then solve the problem given below. click here to w…
\(7\)
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suppose ( f(-1) = 5 ), ( f(-1) = 2 ), and ( g(x) = x^{3}f(x) ). the tan…
\(y = 13x+8\)
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it is useful to note that for most toolkit functions, a horizontal stre…
\(g(x)=\sqrt{\frac{x}{3}}\)
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a particle moves along a straight line and its position at time ( t ) i…
The velocity at \(t = 0\) is \(36\) ft/sec. The particle stops at \(t = 1\) and \(t = 6\). The position at \(t = 14\) is \(1876\) ft. The total distance is \(2126\) ft.
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let ( s(t)=4 t^{3}+6 t^{2}-144 t ) be the equation of motion for a part…
\(v(t)=12t^{2}+12t - 144\); \(t=-4\) and \(t = 3\); \(a(t)=24t + 12\)
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let ( f(x)=\frac{x}{x + 7} ). find the values of ( x ) where ( f^{prime…
The greater solution is \( x=-7+\frac{\sqrt{42}}{6} \). The lesser solution is \( x=-7-\frac{\sqrt{42}}{6} \).
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if ( f(x)=\frac{3 x^{2}+7 x+3}{sqrt{x}} ), then: ( f^{prime}(x)= ) ( f^…
\(f^\prime(x)=\frac{9x^{\frac{3}{2}}+7x - 3}{2x^{\frac{3}{2}}}\), \(f^\prime(1)=\frac{13}{2}\)
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score on last try: 0 of 1 pts. see detai at least one scored part is in…
\(f^\prime(x)=\frac{21x - x^{-1}+7}{2\sqrt{x}}\), \(f^\prime(5)=\frac{559\sqrt{5}}{50}\)
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if ( f(x)=\frac{7 x^{2}+7 x + 2}{sqrt{x}} ), then: ( f^{prime}(x)= ) ( …
\(f^\prime(x)=\frac{21x - x^{-1}+7}{2\sqrt{x}}\); \(f^\prime(5)=\frac{559\sqrt{5}}{50}\approx25.0\)
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if ( f(x)=\frac{sqrt{x}-6}{sqrt{x}+6} ), find: ( f^{prime}(x)=) ( f^{pr…
\(f^\prime(x)=\frac{6}{\sqrt{x}(\sqrt{x}+6)^{2}}\), \(f^\prime(3)=\frac{26\sqrt{3}-24}{363}\)
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if ( f(x)=\frac{g(x)}{h(x)} ), then ( f^{prime}(4)= )
\(\frac{4}{3}\)
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exercsies 3.3 differentiation score: 10/19 answered: 10/19 question 11 …
\(\frac{-18x}{(3 + x^{2})^{2}}\)
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f $f(x)=\frac{7 x^{5}-7 x^{4}-7 x^{3}}{x^{4}}$, find $f^{prime}(x)$
$f^{\prime}(x)=7+\frac{7}{x^{2}}$
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exercsies 3.3 differentiation rules score: 7/19 answered: 7/19 question…
\(f^\prime(x)=\frac{91}{2}x^{\frac{11}{2}}+\frac{15}{2x^{\frac{7}{2}}}\)
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find the derivative of $f(x)=-10\\sqrt{x}+\\frac{1}{x^{6}}$. type your …
\(f^\prime(x)=-\frac{5}{\sqrt{x}}-\frac{6}{x^{7}}\)
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a bottle rocket is launched straight upwards with an initial velocity o…
\(90\) m/s \(100 - 10a\) m/s \(20\) seconds \(-100\) m/s
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homework3: problem 30 (1 point) let $f(x)=\\frac{(5 x^{2}-5)(x^{2}-6)}{…
\(\frac{43850}{961}\)
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homework3: problem 29 (1 point) if f(x)=\frac{6 - x^{2}}{7 + x^{2}} fin…
\(f^\prime(x)=\frac{-26x}{(7 + x^{2})^{2}}\), \(f^\prime(4)=\frac{-104}{529}\)
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homework3: problem 26 (1 point) given that: $f(-5)=4,f(-5)=4,$ $g(-5)=1…
\((fg)^\prime(-5)=16\) \((f/g)^\prime(-5)=-8\) \((g/f)^\prime(-5)=\frac{1}{2}\)
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homework3: problem 25 (1 point) consider the functions ( f(x) ) and ( g…
\(5\)
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homework3: problem 24 (1 point) results for this submission 2 of the an…
(A) \(f^\prime(3)\approx252.34\) (B) \(f^\prime(6)\approx1153.48\)
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how do the average rates of change for the pair of functions compare ov…
The average rate of change of \(f(x)\) over \(-6\leq x\leq - 4\) is \(-30\). The average rate of change of \(g(x)\) over \(-6\leq x\leq - 4\) is \(-120\). The average rate of chan…
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you cannot always see the purpose of what you are studying. not knowing…
1. Not knowing the limits of what can be done sometimes allows you to achieve more. 2. Starting from scratch can help you reach an answer. 3. You cannot always see the purpose of …
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recognizing limitations of the rational root theorem determine whether …
- Para \(f(x) = 4x^{2}-25\): No. - Para \(g(x)=4x^{2}+25\): No. - Para \(h(x)=3x^{2}-25\): No.
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5. une assiette de métal circulaire est chauffée dans un four. son rayo…
\(\pi\space cm^{2}/min\)
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explain how the graph of the function ( f(x)=\frac{1}{x + 8} ) can be o…
- To obtain the graph of \(f\), shift the graph of \(y = \frac{1}{x}\) \(8\) units to the left. - (a) Domain: \((-\infty,-8)\cup(-8,\infty)\) - (b) Range: \((-\infty,0)\cup(0,\inf…
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4. un pompite réalise un revenu quotidien de r = (0.49 + 2/√x)x dollars…
a) \(38,25\) dollars/jour b) \(-25,5\) dollars/jour
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which narrative point of view is shown in the passage? the womans arms …
second person
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which narrative point of view is shown in the passage? mr. bennet had a…
third person omniscient
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which narrative point of view is shown in the passage? the door opens, …
second person
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which narrative point of view is shown in the passage? harbor street, f…
second person
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which narrative point of view is shown in the passage? although self - …
second person
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write the equation of the trigonometric function shown in the graph. us…
\(y = 1\cos(2(x - 0))+0\)
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write the equation of the trigonometric function shown in the graph. us…
\(y = 1\cos(2(x - 0))+0\)
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13. the input values decrease without bound 13. limit statement: _
\(\lim_{x ightarrow-\infty}f(x)=-1\)
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find all solutions in the interval $0,2\\pi)$. $\\cos ^{2}\\theta - 2\\…
A. \( x = 2.0344,4.2488 \)
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the total amount spent by some number of people on clothing and footwea…
In the year \(2007\), \(\$367\) billion was spent on clothing and footwear.
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module 1 quiz you must answer at least 70% of the questions correctly t…
25 mph
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consider the following parametric equations: $x = \\frac{4t - 15}{2}$ a…
The points are \((-7.5,3)\), \((-5.5,2)\), \((-3.5,1)\), \((-1.5,0)\), \((0.5,-1)\), \((2.5,-2)\)
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give a general formula for all the solutions. 7 sin θ - 5 = 2 sin θ sel…
A. $\theta=\frac{\pi}{2}+2n\pi$
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2. le taux de croissance des arêtes dun cube est de 2 cm/min. calculer …
\( 864\space cm^{3}/min \)
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consider the following parametric equations: $x = \\frac{4t - 15}{2}$ a…
When \(t = 1\), the point is \((-5.5,2)\); when \(t = 3\), the point is \((-1.5,0)\)
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in this exercise, we estimate the rate at which the total personal annu…
\(1627415600\) dollars per year
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finding where a function is increasing, decreasing, or constant given t…
A and B: increasing; B and C: constant; C and D: decreasing; D and E: constant.
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find the derivative of the function $g(x)=(x^{2}+x - 1)e^{x}$ $g(x)=$ n…
\(g^\prime(x)=e^{x}(x^{2}+3x)\)
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rick shoots a basketball at an angle of 35° from the horizontal. it lea…
\(5.1\) feet
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rick shoots a basketball at an angle of 35° from the horizontal. it lea…
The parametric equations are \(x(t)=16.4t\) and \(y(t)=-16t^{2}+11.5t + 7\)
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use the graph of f to determine each of the following (a) the domain of…
\([-5,5]\)
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average hours worked per person per year in 1950 and 2017 calculations …
A. though the percent decrease in hours worked in Switzerland was less than that in Germany, it was greater than that in Brazil and Japan
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determine the intervals on which the function is increasing, decreasing…
\((-\infty,-8),(0,2)\)
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level 4: open ended questions 4. sketch the graph of a single function …
Sketch the graph of the function \(y=-x^{3}+x\) with zeros at \(x=-1\), \(x = 0\), \(x = 1\), inflection point at \((0,0)\), concave up on \((-\infty,0)\), concave down on \((0,\i…
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desmos | graphing calculator - https://www.desmos.com/calculator solve …
\(3-8x - 4h\)
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evaluate the following expression. round your answer to two decimal pla…
\(3.63\)
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find the intervals on which ( f(x) ) is increasing and the intervals on…
The function is decreasing on \((-\infty,-3),(0,3)\)
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given that $f(x)=x^{7}h(x)$ $h(-1)=5$ $h(-1)=8$ calculate $f(-1)$. hint…
\(27\)
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suppose that the position of a particle is given by $s(t)=7t^{3}+5t + 9…
a. \(v(t)=21t^{2}+5\) b. \(194\) c. \(a(t)=42t\) d. \(126\)
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3.3 differentiation rules - ds2: problem 3 (6 points) if f(x)=\frac{6 x…
\( f^\prime(x)=\frac{-6}{x^{2}}+\frac{20}{x^{5}} \), \( f^\prime(3)=\frac{-142}{243} \)
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3.3 differentiation rules - ds (6 points) let ( f ( x ) = \frac { 3 x ^…
\( f^\prime(x)=\frac{9}{2}x^{\frac{1}{2}}+\frac{3}{2}x^{-\frac{1}{2}}-\frac{7}{2}x^{-\frac{3}{2}}\), \( f^\prime(9)=\frac{749}{54}\)
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3.3c differentiation rules highe (6 points) calculate the second and th…
\(y^{\prime\prime}=-\frac{8}{x^{3}}\), \(y^{\prime\prime\prime}=\frac{24}{x^{4}}\)
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a marble is rolled on the floor in a straight line from one person to a…
The parametric equations are \(x = 0.9(\theta-\sin\theta)\) and \(y=0.9(1 - \cos\theta)\)
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1. un point se déplace le long dune courbe déquation ( y = x^{2} ) de t…
24 unités par seconde.
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let ( h(t)=4 t^{3.2}-3 t^{-3.2} ). compute the following. ( h^{prime}(t…
\(h^\prime(t)=12.8t^{2.2}+9.6t^{-4.2}\); \(h^\prime(1)=22.4\); \(h^{\prime\prime}(t)=28.16t^{1.2}+40.32t^{-5.2}\); \(h^{\prime\prime}(1)=68.48\)
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find the average rate of change of the function ( f(x)=sqrt{x} ) from (…
\(\frac{1}{18}\)
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the graph on the right shows the remaining life expectancy, e, in years…
C. life expectancy decreases each year between the ages of 70 and 80 by 0.45 years.
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which of the following is true of mixed media? a. mixed media is the us…
D. One form of mixed media was commonly used to create illuminated manuscripts.
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the graph on the right shows the remaining life expectancy, e, in years…
\(-0.89\)
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3.3c differentiation rule (6 points) if ( g(t)=-2 t^{4}+4 t^{2}+9 ) fin…
\(g(0)=9\), \(g^{\prime}(0)=0\), \(g^{\prime\prime}(0)=8\), \(g^{\prime\prime\prime}(0)=0\), \(g^{(4)}(0)=-48\), \(g^{(5)}(0)=0\)
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3.3b derivatives of trigonometric functions (1 point) let f(x)=\frac{7 …
\(f^\prime(x)=7\cos(x)+12\sin(x)\) \(f^\prime(\frac{11\pi}{6})=\frac{7\sqrt{3}}{2}-6\)
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let $f(x)=\frac{-3x}{sin(x)+cos(x)}$. evaluate $f(x)$ at $x = 2pi$. $f(…
\(-3 + 6\pi\)
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materials used in a factory that are not an integral part of the final …
manufacturing overhead.
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use the given graph of ( y = f(x) ) to find the intervals on which ( f(…
For \(f^{\prime}(x)<0\): A. \((-2,4)\)