微積分
極限、導関数、最適化、関数挙動。
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solve $\\cos(x)=0.84$ on $0\\leq x<2\\pi$. there are two solutions, a a…
$A = 0.589$ $B = 5.695$
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solve \\( \\cos ( x ) = 0.47 \\) on \\( 0 \\leq x < 2 \\pi \\). there a…
\(A\approx1.087\), \(B\approx5.196\)
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assignment 7.5: solving trigonometric equations score: 40/100 answered:…
\(A = 0.480\) \(B=2.662\)
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assignment 7.5: solving trigonometric equations score: 30/100 answered:…
\(1.73,4.55\)
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the term______ refers to societys concept of how men and women are expe…
- First question: gender role - Second question: Structural functional theory
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consider the following parametric equations: $x = \\frac{t}{-3}$ and $y…
\( y=9x^{2}-3 \)
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does the function have a minimum y - value? select a point that has the…
- Does the function have a minimum \(y\) - value? Yes - Enter the minimum \(y\) - value: \(9\) - Select a point that has the minimum \(y\) - value: \((25,9)\) - Select a statement…
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consider the following parametric equations: ( x = sqrt{t + 4} ) and ( …
\(y = 2x^{2}-3,x\geq0\)
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consider the following parametric equations: ( x = sqrt { t + 4 } ) and…
\(y = 2x^{2}-3,x\geq0\)
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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}+4 x + 7}{sqrt{x}} ), then: ( f^{prime}(x)= ) ( …
\(f^\prime(x)=\frac{9}{2}\sqrt{x}+\frac{2}{\sqrt{x}}-\frac{7}{2x\sqrt{x}}\); \(f^\prime(2)=\frac{45\sqrt{2}}{8}\)
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exercsies 3.3 differentiation rules score: 31/40 answered: 16/19 questi…
\( f^\prime(x)=3x^{\frac{1}{2}}+\frac{3}{2}x^{-\frac{1}{2}}-\frac{5}{2}x^{-\frac{3}{2}} \); \( f^\prime(2)=\frac{25\sqrt{2}}{8} \)
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if ( f(x)=\frac{sqrt{x}-2}{sqrt{x}+2} ), find: ( f^{prime}(x)= ) ( f^{p…
\(f^\prime(x)=\frac{2}{x^{\frac{1}{2}}(\sqrt{x}+2)^{2}}\), \(f^\prime(2)=\frac{3\sqrt{2}-4}{2}\)
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if ( f(x)=\frac{sqrt{x}-6}{sqrt{x}+6} ), find: ( f^{prime}(x)= ) ( f^{p…
\(f'(x)=\frac{6}{\sqrt{x}(\sqrt{x}+6)^{2}}\) \(f'(3)=\frac{26\sqrt{3}-24}{363}\)
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if $f(x)=\frac{sqrt{x}-4}{sqrt{x}+4}$, find: $f(x)=$ $f(4)=$ question h…
\(f^\prime(x)=\frac{4}{x^{\frac{1}{2}}(\sqrt{x}+4)^{2}}\) \(f^\prime(4)=\frac{1}{18}\)
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textbook videos + if ( f(x)=\frac{g(x)}{h(x)} ), then ( f^{prime}(1)= )…
\(-\frac{9}{8}\)
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the graph of a function f is given. use the graph to answer the questio…
The function \(f\) has local minima at \(x=-2\) and \(x = 2\). The local minima are \(f(-2)=0\) and \(f(2)=0\).
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exercsies 3.3 differentiation rules score: 27/40 answered: 13/19 questi…
\(\frac{-20x}{(7 + x^{2})^{2}}\)
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(6) $\\int 20\\sqrt{x}dx$
$\frac{40}{3}x^{\frac{3}{2}}+C$
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if ( f(x)=\frac{4 x + 8}{3 x + 4} ), find: ( f^{prime}(x)= ) ( f^{prime…
\(f^\prime(x)=\frac{-8}{(3x + 4)^{2}}\) \(f^\prime(4)=-\frac{1}{32}\)
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if ( f(t)=(t^{2}+6t + 5)(2t^{2}+2) ), find ( f(t) ). use the product ru…
\(f^\prime(t)=(2t + 6)(2t^{2}+2)+(t^{2}+6t + 5)(4t)\); \(f^\prime(3)=624\)
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if ( f(x)=\frac{-4 x^{5}+2 x^{4}-7 x^{3}}{x^{4}} ), find ( f^{prime}(x)…
\(f^{\prime}(x)=-4+\frac{7}{x^{2}}\)
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let $f(x)=6x^{4}sqrt{x}+\frac{-2}{x^{2}sqrt{x}}$. hint: this derivative…
\(f^\prime(x)=27x^{\frac{7}{2}} + 5x^{-\frac{7}{2}}\)
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if ( f(x)=6+\frac{5}{x}+\frac{6}{x^{2}} ), find ( f^{prime}(x) ). find …
\( f^{\prime}(x)=-\frac{5}{x^{2}}-\frac{12}{x^{3}} \); \( f^{\prime}(4)=-\frac{1}{2} \)
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if ( f(x)=\frac{2}{x^{2}} ), find ( f^{prime}(4) ).
\(-\frac{1}{16}\)
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find the derivative of $f(x)=6\\sqrt{x}+\\frac{8}{x^{3}}$. type your an…
\(\frac{3}{\sqrt{x}}-\frac{24}{x^{4}}\)
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let ( s(t)=4 t^{3}-12 t^{2}-96 t ) be the equation of motion for a part…
\(v(t)=12t^{2}-24t - 96\) \(t=-2\) and \(t = 4\) \(a(t)=24t - 24\)
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suppose that the position of a particle is given by ( s = f(t) = 7t^{3}…
(a) \(v(t)=21t^{2}+6\) \(\frac{m}{s}\) (b) \(195\) \(\frac{m}{s}\) (c) \(a(t)=42t\) \(\frac{m}{s^{2}}\) (d) \(126\) \(\frac{m}{s^{2}}\)
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if ( f(x)=3x^{2}-7x + 4 ), find ( f(-5) ). use this to find the equatio…
\(f^\prime(-5)=-37\), \(m=-37\), \(b=-71\)
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if ( f(x)=3 + 3x-5x^{2} ), find ( f^{prime}(3) ).
\(- 27\)
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exercsies 3.3 differentiation rules score: 2/40 answered: 1/19 question…
\(f^{\prime}(x)=56x^{6}+50x^{4}\)
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find the 61th derivative of the function ( f(x)=cos (x) ). the answer i…
\(-\sin(x)\)
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exercises 3.5 derivatives of trigonometric functions score: 32/37 answe…
\( f''(x)=-\cos(x) \) \( f'''(x)=\sin(x) \) \( f''''(x)=\cos(x) \)
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let ( f(x)=cos (x) ), find each of the following: find the second deriv…
The second derivative \(f^{\prime\prime}(x)=-\cos(x)\). The third derivative \(f^{\prime\prime\prime}(x)=\sin(x)\). The fourth derivative \(f^{(4)}(x)=\cos(x)\).
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exercises 3.5 derivatives of trigonometric functions score: 27/37 answe…
\(f^\prime(x)=4x\sin x + 2x^{2}\cos x\); \(f^\prime(2)=8\sin2 + 8\cos2\)
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if $f(x)=\frac{\tan x - 4}{sec x}$ $f(x)=$ $f(4)=$ question help: video…
\(f'(x)=\cos x + 4\sin x\) \(f'(4)=\cos(4)+4\sin(4)\)
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if ( f(x)=\frac{3 sin x}{2+cos x} ), then ( f^{prime}(x)= ) ( f^{prime}…
\(f^\prime(x)=\frac{6\cos x + 3}{(2+\cos x)^{2}}\), \(f^\prime(5)\approx0.9016\)
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exercises 3.5 derivatives of trigonometric functions score: 18/37 answe…
\(f^\prime(x)=\frac{5}{2}\sin(2x)+5x\cos(2x)\) \(f^\prime(4)=\frac{5}{2}\sin(8)+20\cos(8)\)
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if ( f(x)=4x(sin x+cos x) ), find ( f^{prime}(x)= ) ( f^{prime}(2)= )
\(f^\prime(x)=4\sin x + 4\cos x+4x\cos x - 4x\sin x\) \(f^\prime(2)\approx - 8.63\)
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let $f(x)=-5\\cos x + 5\\tan x$ $f(x)=$ $f(\\frac{2\\pi}{3})=$ question…
\(f'(x)=5\sin x + 5\sec^{2}x\); \(f'(\frac{2\pi}{3})=\frac{5\sqrt{3}}{2}+20\)
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if ( f(x)=cos x - 2\tan x ), then ( f(x)=) ( f(5)=)
\(f'(x)=-\sin x - 2\sec^{2}x\); \(f'(5)\approx - 23.89\)
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if ( f(x)=5sin x + 4cos x ), then ( f(x)=) ( f(1)=) question help: mess…
\(f^\prime(x)=5\cos x - 4\sin x\); \(f^\prime(1)\approx - 0.6645\)
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a mass on a spring bounces up and down in simple harmonic motion, model…
\(4.5234\)
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find the equation of the tangent line to the curve ( y = 5xcos x ) at t…
\(m=-5\), \(b = 0\)
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if ( g(x)=cos(x) ) then ( g^{prime}(x)= ) ( g^{prime}(5)= ) question he…
\(g^{\prime}(x)=-\sin(x)\) \(g^{\prime}(5)=-\sin(5)\)
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find the equation of the tangent line to the curve ( y = 4 sin x ) at t…
\(m = 2\sqrt{3}\), \(b=2-\frac{\pi\sqrt{3}}{3}\)
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if ( g(x)=sin(x) ) then ( g^{prime}(x)= ) ( g^{prime}(5)= )
\(g^{\prime}(x)=\cos(x)\) \(g^{\prime}(5)=\cos(5)\)
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question 6 the per capita consumption of breakfast cereal in the us has…
\(C^\prime(14)=0.7686\) lbs/year; \(C^\prime(22)=- 0.5946\) lbs/year; The rate was changing more rapidly in 2004.
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question 6 the per capita consumption of breakfast cereal in the us has…
\(C^\prime(14)=-0.0568\) lbs/year \(C^\prime(22)=-1.7912\) lbs/year The rate was changing more rapidly in \(2012\)
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suppose ( p(t) ) represents the population of a certain mosquito colony…
3592
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let ( s(t)=8 t^{3}-72 t^{2}+120 t ) be the equation of motion for a par…
\(v(t)=24t^{2}-144t + 120\) \(t = 1\) and \(t = 5\) \(a(t)=48t-144\)
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in his argument in favor of starting classes later in the morning. joli…
Sleep deprivation harms memory, Overtired teens are more prone to accidents, Teens dealing from sleep deprivation lose the ability to focus.
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read the excerpt from abraham lincolns gettysburg address. but, in a la…
acknowledge the limitations of the memorial ceremony.
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identifying decreasing average rates of change choose the intervals whe…
\(x = 3\) to \(x = 6\), \(x = 4\) to \(x = 8\)
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now find the change in x. the change in x is the average rate change of…
The change in \(x\) is \(3\). The average rate of change is \(4\).
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calculate the average rate of change from ( x = - 2 ) to ( x = 1 ) of t…
\(f(-2)=-18\), \(f(1)=-6\), the change in \(y\) is \(12\)
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the average rate of change from ( x = - 2 ) to ( x = 6 ) for the functi…
\(-0.5\)
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use the graph to answer the question. what is the average rate of chang…
\(-\frac{5}{18}\) (the second option)
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what is the average rate of change between: x = 1 and x = 2? x = 2 and …
increases
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what is the average rate of change between: x = 1 and x = 2? x = 2 and …
\(2\) \(4\) \(8\)
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5.1.5 quiz: radical reconstruction question 6 of 10 what does the fifte…
A. That states cannot limit the voting rights of individuals on the basis of race.
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5.1.5 quiz: radical reconstruction question 2 of 10 what happened when …
B. They passed black codes to limit African Americans' rights.
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4.5.2 test (cst): north-south conflict question 17 of 20 why did inflat…
A. The limited supply of goods caused prices to rise.
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how did new deal environmental projects try to prevent another dust bow…
by enforcing new farming techniques that prevented dust storms
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impact of the new deal quick check what was the benefit of the agricult…
To raise the prices of agricultural products.
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which of the following goals did progressivist and new deal policies sh…
Both sought to improve efficiency in government.
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the graph of $g$ is given below: answer the following questions about t…
A. \(g\) is increasing on \((-\infty,-4)\cup(-2,2)\cup(4,\infty)\) B. \(g\) is decreasing on \((-4, - 2)\cup(2,4)\) C. \(g\) has horizontal tangent lines at \(x=-2,x = 2,x = 4\) D…
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level 4: open ended questions 2. sketch the graph of a single function …
Sketch the graph of \(y=-(x - 2)^{3}+5=-x^{3}+6x^{2}-12x + 13\). Mark the point \((2,5)\). The function is decreasing (since \(y'=-3(x - 2)^{2}\leq0\) for all \(x\)). For \(x<2\),…
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question 7 the function graphed above is: concave up on the interval(s)…
Concave up on the interval(s): \((-1,\infty)\) Concave down on the interval(s): \((-\infty,-1)\) There is an inflection point at: \((-1,2)\)
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which of the following do you feel are important to consider in develop…
B. Avoid purchasing items with extra taxes, C. Know the tax laws in your area, D. Take advantage of programs that reduce taxes.
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how many times can a senator be re - elected? once twice unlimited four…
- First question: Unlimited - Second question: U.S. Constitution - Third question: Thanksgiving
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taylor series 1 lecture participation: proble (2 points) write the tayl…
\(c_{0}=\frac{\sqrt{3}}{2}\), \(c_{1}=\frac{1}{2}\), \(c_{2}=-\frac{\sqrt{3}}{4}\), \(c_{3}=-\frac{1}{12}\), \(c_{4}=\frac{\sqrt{3}}{48}\)
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how did the rise of factories encourage immigration? (1 point) was the …
Created a high demand for labor filled by immigrants.
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the polynomial function ( f ) is defined by ( f(x)=3 x^{4}+5 x^{3}-4 x^…
\((x,f(x))=(-1,-3)\)
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the polynomial function ( f ) is defined by ( f(x)=3x^{4}+5x^{3}-4x^{2}…
\((x,f(x))=(-1.17,-4.02)\)
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social media apps often make people think likes are the best way to mea…
Taking away likes from social media would help people interact more honestly.
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drag each description to the supreme court case it matches. (1 point) n…
- Northern Securities Co. v. United States (1904): The case upheld breaking up the monopoly controlling railroad lines from Chicago to the Pacific Northwest. - Standard Oil Co. v.…
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verify the identity. \\( \\frac{\\sin (9 x)-\\sin (x)}{\\cos (9 x)-\\co…
\(2\cos(5x)\sin(4x)\)
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flappers and the new woman quick check what does the term new woman mea…
a woman who resists limitations of society
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use the graph of a function ( y = f(x) ) to find the absolute maximum a…
A. The absolute maximum is \(3\)
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use the graph of a function ( y = f(x) ) to find the absolute maximum a…
A. The absolute maximum is \(3\)
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use the graph of a function ( y = f(x) ) to find the absolute maximum a…
For the local maximum: A. The local maximum of \(y = f(x)\) is \(f(2)=6\) For the local minimum: The local minima of \(y = f(x)\) are \(f(-2)=2\) and \(f(0)=0\)
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during the 1920s, how did the growth of immigrant populations in cities…
Many Americans in rural areas felt that their way of life was being threatened.
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(3.3 - 3.4) 8 of 10 this quiz: 10 point(s) possible this question: 1 po…
B. There are two local maxima. The leftmost maximum is \(f(2)=6\) the rightmost maximum is (there is no rightmost maximum as the function is increasing towards the upper - right i…
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a scientist writes the equation ( n(h)=100e^{0.25h} ) to model the grow…
6 hours
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identify the equation that translates ( y = ln(x) ) five units down. ( …
\(y = \ln(x)-5\) (the fourth option)
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which of the following best describes the progressive movement? (1 poin…
an attempt to address the problems associated with the Gilded Age
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let ( h(x)=x^{2}-2x ). (a) find the average rate of change from 4 to 6.…
(a) The average rate of change from 4 to 6 is \( 8 \). (b) An equation of the secant line containing \( (4,h(4)) \) and \( (6,h(6)) \) is \( y = 8x-24 \).
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descripciones unlimited attempts left late due october 7th 11:59 pm com…
1. inteligentes 2. morenas 3. altos 4. joven; gracioso 5. interesantes 6. simpáticos
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using the given graph of the function f, find the following. (a) the nu…
(a) - For the \(x -\) value of local maximum: A. \(x=\frac{\pi}{2}\) - For the local maximum value: A. The local maximum value is \(8\) (b) - For the \(x -\) value of local minimu…
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graph the function. be sure to label three points on the graph. $f(x)=\…
Assuming that option B has the points \((1,1)\), \((-1, - 1)\) and other points consistent with \(y=\frac{1}{x}\) (since the actual visual of graphs A - D is limited in text - onl…
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a football was thrown into the air at a speed of 54 miles per hour at a…
The velocity vector in component form is \(\langle34.7112,41.3640 angle\)
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a. shareholders in a corporation must pay some but not all of the liabi…
1. D. shareholders in a corporation cannot lose more than their investment in the firm. 2. A. to limit shareholder risk and thus encourage investment in corporations. 3. A. invest…
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limited liability means that a. shareholders in a corporation must pay …
- First question: D. shareholders in a corporation cannot lose more than their investment in the firm. - Second question: A. to limit shareholder risk and thus encourage investmen…
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limited liability means that a. shareholders in a corporation must pay …
D. shareholders in a corporation cannot lose more than their investment in the firm.
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cp situaciones unlimited attempts left late due october 2nd 11:59 pm co…
1. usted 2. soy 3. Yo 4. ella 5. Somos 6. ustedes 7. somos
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evaluate the expression without using a calculator. in ( e ^ { 6 } ) ( …
\(6\)
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watch the video and then solve the problem given below. click here to w…
B. The function has at least one real zero between \(a\) and \(b\) because \(f(a)=-41\) and \(f(b)=11\)
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using the intermediate value theorem, determine, if possible, whether t…
C. It is impossible to use the intermediate value theorem in this case.
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using the intermediate value theorem, determine, if possible, whether t…
B. By the intermediate value theorem, the function has at least one real zero between \( a \) and \( b \) because \( f(a)=-153 \) and \( f(b)=24 \).