微积分
极限、导数、最优化与函数性质。
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s of a function using local linearity and linearization quiz (mcqs) 2 m…
\(16.76\), so the answer is A.
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let ( f ) be a function such that at each point ( (x, y) ) on the graph…
D. \(k=-2.15\) and is an overestimate for \(f(1.3)\)
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determine the interval(s) on which the function is (strictly) decreasin…
$[-3,-2]$
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determine the interval(s) on which the function is (strictly) decreasin…
$(-2,-1)$
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complete the sentence. the eighth amendment deals with the right to kee…
not allowing excessive bail or punishment
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which tool might be used to limit imports from cuba but maintain export…
sanctions
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based on the table, which best predicts the end behavior of the graph o…
As \(x\to+\infty\)，\(f(x)\to-\infty\)，and as \(x\to-\infty\)，\(f(x)\to+\infty\)，so the answer is “As \(x\to+\infty\)，\(f(x)\to-\infty\)，and as \(x\to-\infty\)，\(f(x)\to+\infty\)”（…
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which of the following roles does the government play in a free enterpr…
protect the consumer, encourage private investment
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the graph of ( y = f(x) ) is given. show that the average rates of chan…
The average rate of change values \(3,1,-1,-3\) have a common difference of \(-2\), so the average rates of change of \(f\) over equal intervals of the domain follow a linear patt…
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7. a table of selected values is given for a rational function ( p ). |…
a. \(\lim_{x\to5^{-}}p(x)=-\infty\) b. \(\lim_{x\to5^{+}}p(x)=\infty\) c. The graph of \(p\) has a vertical asymptote at \(x = 5\) because \(\lim_{x\to5^{-}}p(x)=-\infty\) and \(\…
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evaluate without a calculator: csc\\frac{5\\pi}{3} type + or - \\frac{\…
\(-\frac{2\sqrt{3}}{3}\)
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the black graph is $y = \\sin x$. choose the equation for the red graph…
\(y=\sin(x)+1\)
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find the exact value. tan 5π
\(0\)
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given the function ( f(x) = x^{5}+20x^{4} ), determine all intervals on…
The function \(f(x)\) is decreasing on the interval \((-\infty,-20)\).
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given the function ( f(x)=-x^{3}-18x^{2}-81x ), determine all intervals…
The function \(f(x)\) is increasing on the interval \((-9,-3)\).
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given the function ( f(x)=-x^{4}+16x^{3} ), determine all intervals on …
The function \(f^\prime(x)\) is decreasing on the intervals \((-\infty,0)\cup(8,\infty)\).
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find the x - coordinates of all relative maxima of f(x). f(x)=-\\frac{3…
The \(x\) - coordinates of the relative maxima are \(x=-10\) and \(x = 7\)
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find the x - coordinates of all relative maxima of f(x). f(x)=-2x^{4}-1…
\(-6\)
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find the x - coordinates of all relative minima of f(x). f(x)=x^{3}+6x^…
\(3\)
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iii. $f(x)=(2x + 1)sqrt{x}$ hint: use product rule
\(f^\prime(x)=\frac{6x + 1}{2\sqrt{x}}\)
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a certain isotope decays so that the amount a remaining after t years i…
\(23\)
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e. find the equation of the normal to the curve ( y^{2}-x^{2}=5 ) at po…
\(y=-\frac{3}{2}x + 6\)
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what is the role of the interstate commerce commission? o to carry out …
to ensure fair and even pricing and limit amounts charged to customers
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question # 4 multiple select which of these include some basic purposes…
to set limits on ways transportation companies could engage in business, to foster competition
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enter the equation for the graph. skip submit y = ? cos( x)
\(y = 3\cos(1x)\)
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find the exact value. sin\\frac{-3\\pi}{2
\(1\)
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change from degrees to radians: 50°
\(\frac{5}{18}\)
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determine the period.
\(15\)
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find all values of x where the function ( f(x)=\frac{-2x}{e^{2x^{2}-3x}…
The function \(f(x)\) has relative extrema at \(x = 1\) and \(x=-\frac{1}{4}\)
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find all intervals on which ( f(x) ) is increasing. ( f(x)=-3 x^{3}-45 …
The function \(f(x)\) is increasing on the interval \((-9,-1)\).
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find all intervals on which $f(x)$ is decreasing. $f(x)=x^{4}-12x^{3}-1…
The function \(f(x)\) is decreasing on the interval \((-\infty,9)\)
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given the function ( f(x)=x^{4}+8x^{3}+18x^{2}+10 ), determine the abso…
The absolute minimum value of \(f(x)\) on the interval \([-4,1]\) is \(10\)
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given the function ( f(x) = x^{3}+3x^{2}+3x - 1 ), determine the absolu…
The absolute minimum value of \(f(x)\) on the interval \([-3,1]\) is \(-10\).
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given the function $f(x)=x^{3}+9x^{2}+27x + 2$, determine the absolute …
The absolute maximum value of \(f(x)\) on the interval \([-4,-2]\) is \(-24\).
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a bacteria culture initially contains 3000 bacteria and doubles every h…
- After 80 minutes: \( 19049\) - After 4 hours: \( 768000\)
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exponential decay app (y = ae^(kt)) the half - life of radium - 226 is …
\(125.4\) mg
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find the exact value using a sum or difference identity. sin 75° √2 + √…
The green box (numerator - under the second square - root) is \(6\) and the gray box (denominator) is \(4\)
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find the exact value using a sum or difference identity. tan 75° hint: …
\(2+\sqrt{3}\)
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write the expression as the sine or cosine of an angle. sin 3x cos x - …
\(\sin(2x)\)
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sketch at least one cycle of the graph of the function ( y = -\frac{1}{…
Period: \(\frac{2\pi}{3}\), Phase - shift: \(\frac{\pi}{6}\) (to the right), Range: \([-\frac{11}{2},-\frac{9}{2}]\), Five points: \((\frac{\pi}{6},-\frac{11}{2}),(\frac{\pi}{3},-…
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find the exact value using a sum or difference identity. sin 390° hint:…
\(\frac{1}{2}\)
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4. $lim_{h \to 0} \frac{ln(e + h) - 1}{h}$ is (a) $f(e)$, where $f(x)=l…
A. \(f^{\prime}(e)\), where \(f(x)=\ln x\)
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sketch at least one cycle of the graph of the function ( y = cosleft(\f…
- Period: \(4\) - Phase - shift: \(5\) - Range: \([-1,1]\) - Five points: \((5,1)\), \((6,0)\), \((7,-1)\), \((8,0)\), \((9,1)\)
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3. no calculator if ( x = e ^ { 2 t } ) and ( y = sin ( 2 t ) ), then (…
E. \(\frac{\cos(2t)}{e^{2t}}\)
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who had the advantage at the alamo? the texans or the mexicans? * texan…
Mexicans- they knew the map of the Alamo, the strongpoints, and had unlimited supplies
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sketch at least one cycle of the graph of the function $y = 4-cosleft(\…
Period: \(6\pi\); Phase - shift: \(0\); Range: \([3,5]\); Five points: \((0,3)\), \((\frac{3\pi}{2},4)\), \((3\pi,5)\), \((\frac{9\pi}{2},4)\), \((6\pi,3)\)
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20. if \\( \\frac{d y}{d x}=\\sin (2 x) \\), which of the following is …
C. \(-\frac{1}{2}\cos(2x)+C\)
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19. find the equation of the line tangent to the graph of ( y=ln \frac{…
\(y=\frac{1}{e}x-\ln3\)
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18. find \\( \\frac { d y } { d x } \\) where \\( y = \\frac { e ^ { x …
\(\frac{(2xe^{x^{2}}\cos^{2}x - 2e^{x^{2}}\cos x\sin x)(x^{2}+1)-2xe^{x^{2}}\cos^{2}x}{(x^{2}+1)^{2}}+e^{x}\csc x - e^{x}\csc x\cot x\)
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18. find $\frac{dy}{dx}$ where $y=\frac{e^{x^{2}}}{cos^{2}x}+e^{x}csc x…
\(\frac{2xe^{x^{2}}\cos^{2}x + 2e^{x^{2}}\sin x\cos x}{\cos^{4}x}-\frac{2x}{(x^{2}+1)^{2}}+e^{x}\csc x - e^{x}\csc x\cot x\)
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17. use implicit differentiation to find \\( \\frac { d y } { d x } \\)…
\(\frac{dy}{dx}=\frac{\cos y - 2x}{x\sin y + 3y^{2}}\)
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13. (51) ∫(cos x)e^{sin x}dx 15. (51) ∫2 tan x sec²x dx
For \(\int (\cos x)e^{\sin x}dx\), the answer is \(e^{\sin x}+C\). For \(\int 2\tan x\sec^{2}x dx\), the answer is \(\tan^{2}x + C\).
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#6 graph $x < 1$ what is your limit value? type of circle open circle c…
Limit value: \(1\); Type of circle: open circle; Shading: shade left
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integrate in problems 12 - 16. 12. (int_{2}^{12} \frac{2 x}{3} sqrt{x^{…
\(\frac{2}{9}(x^{2}+1)^{\frac{3}{2}}+C\)
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c) \\( \\lim _ { x \ ightarrow \\infty } x \\sin ( 2 / x ) \\)
\( 2 \)
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exercise 3.3.5 use technology to find the maximum and minimum values on…
Minimum: \((x,y)=(-1,0)\) Maximum: \((x,y)=(2,0)\)
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find the difference quotient of f, that is, find \\( \\frac { f ( x + h…
\(8\)
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find the exact value of \\( \\sin ^ { - 1 } \\left( \\sin \\frac { 5 \\…
\(\frac{\pi}{6}\)
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how did the us government limit the amount of scarce goods that a perso…
A. It issued ration books with stamps.
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question which of the following are potential limitations to using pate…
- In a fast - moving high - technology industry, patents may be almost irrelevant because technology is advancing so quickly. - Not every new idea can be protected with a patent o…
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find all the second partial derivatives. $z = \\arctan(\\frac{x + y}{1 …
\(z_{xx}=-\frac{2x}{(1 + x^{2})^{2}}\), \(z_{xy}=0\), \(z_{yx}=0\), \(z_{yy}=-\frac{2y}{(1 + y^{2})^{2}}\)
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during a speech, the principal _ that everyone at the school would take…
d. declared
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on a personal level, parents desire free public wi - fi so their childr…
5. The author overstates the ability of municipal Wi - Fi to ensure children's safety. 6. Municipal Wi - Fi should be provided.
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identify the graph of ( y = ln x + 1 ).
The graph that passes through the point \((1,1)\) is the correct graph of \(y=\ln x+1\).
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4. (acorn book) let ( y = f(x) ) be the solution to the differential eq…
C. \(2+\frac{\pi}{4}\)
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given the function ( f(x)=x^{4}-4x^{3}-3 ), determine the absolute maxi…
The absolute maximum value of \(f(x)\) on the interval \([-2,4]\) is \(45\)
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which function has no horizontal asymptote? $f(x)=\\frac{2x - 1}{3x^{2}…
\(f(x)=\frac{2x^2}{3x - 1}\)
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the u.s. constitution and bill of rights the first amendment: protectin…
right to worship without interference
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which statement describes the behavior of the function ( f(x)=\frac{2x}…
The graph approaches \(0\) as \(x\) approaches infinity.
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the u.s. constitution and bill of rights limits on governmental power t…
non - explicitly listed rights retained by the people
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the u.s. constitution and bill of rights limits on government power the…
fair and just punishment
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two siblings are 8 years apart in age. their possible ages are represen…
- **Table**: - **Advantages**: Specific data pairs, easy to read specific values. - **Disadvantages**: Limited examples, no trend visualization. - **Graph**: - **Advantages**: Vis…
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what is a mutual fund? choose the correct answer below a. a mutual fund…
A. A mutual fund is a group of stocks and/or bonds managed by a professional investor. Your money is combined with the money of other investors in the mutual fund. The fund manage…
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given the function defined in the table below, find the average rate of…
\(4\)
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given the function defined in the table below, find the average rate of…
\(6\)
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given the function defined in the table below, find the average rate of…
\(1\)
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after world war ii, military use of seaplanes declined. one of the disa…
D. The author gives specific examples of how coast guards, fire fighters, and airlines use seaplanes.
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what type of text structure is used in the blog? cause & effect problem…
compare & contrast
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for each function, determine whether it has a horizontal asymptote. if …
The horizontal asymptote is \(y = 4\).
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use the graph to determine a. open intervals on which the function is i…
a. B. There is no interval on which the function is increasing. b. The function is decreasing on the interval \((-\infty,3)\) c. The function is constant on the interval \((3,\inf…
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use the graph to determine a. open intervals on which the function is i…
a. B. There is no interval on which the function is increasing b. A. The function is decreasing on the interval(s) \((0,\infty)\) c. A. The function is constant on the interval(s)…
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which point of view is \all knowing?\ third person omniscient point of …
- First question: third person omniscient point of view - Second question: greed
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directions: drag and drop the descriptions under the correct the recons…
A. Lincoln's Reconstruction Plan B. Presidential (Johnson) Reconstruction C. Congressional Reconstruction (Radical Republicans)
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1.2.6 quiz: trigonometry question 6 of 10 what is cos(33°)? a. 0.65 b. …
B. 0.84
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thanksgiving turkey prices and holiday deals wholesale turkey prices ar…
- Question #1: C. They are trying to attract customers and build brand loyalty. - Question #2: C. A product sold at a low price to attract customers. - Question #3: A. Because sto…
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15. the magna article was a document written by nobles. what did it say?
It limited the king's power (e.g., couldn't raise taxes without council approval), guaranteed legal rights like fair trial (no imprisonment/punishment without due process).
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write the expression as the sine or cosine of an angle. cos\\frac{\\pi}…
\(\cos(x +\frac{\pi}{7})\)
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find the antiderivative for each function when c equals 0. do as answer…
a. \(3\arcsin(x)\) b. \(\frac{1}{4}\arctan(x)\) c. \(\frac{1}{3}\arctan(3x)\)
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use the graph of the rational function to complete the following statem…
\(\infty\)
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find the exact value. tan 2π/3 type + or - ?√
\(-\sqrt{3}\)
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find the exact value. cos\\frac{3\\pi}{4} type + or - ?\\frac{\\sqrt{}}…
- $\frac{\sqrt{2}}{2}$
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determine the period.
\(2\)
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which point of view does the narrator use in the passage? \why didnt yo…
third person limited
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determine visually whether the function is even, odd, or neither even n…
A. Even
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use the graph of ( y = f(x) ) to answer the questions. complete parts a…
i. C. True, because the \(y -\)value where \(x = 4\) is greater than the \(y -\)value where \(x=-1\) j. The set of \(x -\)values for which \(f(x)=5\) is \(\{-4,4\}\)
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problem 1 the temperature was recorded at several times in a 24 - hour …
\(n = 1\) to \(n = 5\): Negative; \(n = 5\) to \(n = 7\): Positive; \(n = 10\) to \(n = 20\): Negative
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this exercise uses the exponential growth model. the bat population in …
(a) \(n(t)=260000\times2^{t/32}\) (b) \(n(t)=260000e^{0.0217t}\) (d) \(t\approx93.93\) yr
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use the graph of ( y = f(x) ) to answer the questions. complete parts a…
For the relative maxima: B. There are two relative maxima. The leftmost maximum is \(4\), and it occurs at \(x=-2\). The rightmost maximum is \(4\), and it occurs at \(x = 2\). Fo…
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use the graph of ( y = f(x) ) to answer the questions. complete parts a…
\(-3,3\)
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functions graph question completed: 29 of 37 part 7 of 12 my score: 28.…
B. There are two relative maxima. The leftmost maximum value is \(4.5\), and it occurs at \(x=-4\). The rightmost maximum value is \(4.5\), and it occurs at \(x = 4\)