微積分
極限、導數、最優化與函數性質。
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find the indefinite integral. (check by differentiation.) $$\\int ( 5 e…
$5e^{z}+11z + C$
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the population of a colony of mosquitoes obeys the law of uninhibited g…
The size of the colony after 4 days is \( 8352 \) mosquitoes.
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use the graph of the given function to find any relative maxima and rel…
A. Minimum: \((2,-14)\) Maximum: \((-2,18)\)
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the population of a colony of mosquitoes obeys the law of uninhibited g…
\(5832\)
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select the answers that best complete the given statement. the value th…
\(2.72\)
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find the particular antiderivative of the following derivative that sat…
\(R=\frac{75}{4}\ln|t| + 25\)
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evaluate the integral. int t ^ { 2 } left( 2 + t ^ { 3 } ight) ^ { 4 } …
\(\frac{211}{15}\)
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over a period of time, a hot object cools to the temperature of the sur…
\(114\)
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find the indefinite integral. int \frac { x } { sqrt { x - 4 } } d x in…
\(\frac{2}{3}(x - 4)^{\frac{3}{2}}+8\sqrt{x - 4}+C\)
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ésos no unlimited attempts left due november 10th 11:59 pm fill in the …
1. estas 2. estos 3. esa 4. aquellos 5. aquel 6. aquellas
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6. if two numbers “a” and “b” have a difference of 10, then will the pr…
The product of the two numbers has a minimum.
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which of the following is an increasing function? $f(x)=1-\\sqrt{x}$ $f…
\(f(x)=1+\sqrt{x}\)
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which of the following is a decreasing function? $f(x)=-sqrt{2 - x}$ $2…
\(2-\sqrt{x}\)
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find the x and y coordinates of all inflection points. $f(x)=2x^{\\frac…
B. There are no inflection points.
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5. if two numbers “a” and “b” have a sum of 10, then will the product o…
The product of the two numbers has a maximum.
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find the intervals on which ( f(x) ) is increasing, the intervals on wh…
The function is decreasing on \((-\infty,4)\)
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find the intervals on which ( f(x) ) is increasing, the intervals on wh…
A. The function is increasing on \((4,\infty)\)
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a point is moving along the graph of $x^{3}y^{2}=500$. when the point i…
\(\frac{21}{5}\) units per minute
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\the magistrate in whom the whole executive power resides cannot of him…
Checks and balances
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assume that $x = x(t)$ and $y = y(t)$. let $y = x^{2}+5$ and $\frac{dx}…
\(8\)
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question 9 how is the constitution organized? a preamble, 7 articles, a…
- Question 9: A Preamble, 7 articles, and 27 amendments - Question 10: Checks and balances - Question 11: The power is divided among a national government and the states - Questio…
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what is outlined by the first three articles of the constitution? the r…
- First question: The structure of the federal government - Second question: Veto legislation - Third question: Limited government
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5.7 divide polynomials: problem 13 1 point perform the division of poly…
\(3x^{3}-2x^{2}-3x + 2+\frac{-3}{4x - 3}\)
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two numbers have a difference of 8. if the product of the two numbers i…
The two numbers are \(4\) and \(-4\).
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5.7 divide polynomials: problem 7 (1 point) perform the division of pol…
\(x^{2}-5x + 5+\frac{-5}{x - 3}\)
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5.7 divide polynomials: problem 4 (1 point) review: find the quotient a…
\(89\frac{7}{8}\)
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5.7 divide polynomials: problem 1 (1 point) perform the indicated divis…
\(4x^{3}+6x^{2}-5x + 4\)
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why do developing countries usually have less variety in their economic…
Limited access to education means that people are not trained to work in industry or technology.
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2.) θ=60° 4.) θ=11π/6 θ=____(radians) θ=____(radians) θ=____° θ=____°
For \(\theta = 60^{\circ}\): \(\theta'=\frac{\pi}{3}\) radians and \(\theta' = 60^{\circ}\) For \(\theta=\frac{11\pi}{6}\): \(\theta'=\frac{\pi}{6}\) radians and \(\theta' = 30^{\…
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pollution is removed from a lake at a rate of ( f(t)) kg/day on day ( t…
- (a) On day \(12\) pollution is removed from the lake at a rate of \(500\) \(kg/day\). - (b) \(5\): days; \(15\): days; \(4000\): \(kg\). - (c) From day \(5\) to day \(15\), poll…
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current attempt in progress oil leaks out of a tanker at a rate of ( r …
\(\int_{0}^{240}f(t)dt\)
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explain in words what the integral represents and give units. \\( \\int…
The integral \(\int_{1986}^{2008}f(t)dt\) represents the total change in the world's population between the years 1986 and 2008. The units are billions of people.
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explain in words what the integral represents and give units. \\( \\int…
The integral represents the displacement (change in position) of an object from \(t = 2\) seconds to \(t=9\) seconds. The units are meters.
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4. a graph of the function ( y=log _{2}(x + 4) ) is shown below. 4a sta…
\(x = - 4\)
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question 7 3 tries left a successful event planner entering the field o…
The ability to plan the event on a set and limited budget
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use the headline below to determine which government concept is being i…
D. Limited government
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which example best represents tierra volunteering to help her community…
A. cleaning up the neighborhood playground
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the given function ( f(x) ) is defined on the interval (-9,9) and repre…
\(3\)
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which of the following is true of mixed media? a mixed media is the use…
D. One form of mixed media was commonly used to create illuminated manuscripts.
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question the given function ( f(x) ) is defined on the interval ( (-9,9…
The \(x -\)value of the relative minimum is \(- 3\).
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the given function $f(x)$ is defined on the interval $(-9,9)$ and repre…
\(x=-7\) and \(x = 1\)
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the given function ( f(x) ) is defined on the interval ( (-9,9) ) and r…
\(x = 1\)
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the given function ( f(x) ) is defined on the interval ( -9,9 ) and rep…
\(9\)
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the function $f(x)$ is graphed below. how many points on the graph repr…
\(0\)
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the function ( f(x) ) is graphed below. how many points on the graph re…
\(2\)
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the function $f(x)$ is graphed below. how many points on the graph repr…
\(1\)
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the function ( f(x) ) is graphed below. how many points on the graph re…
\(1\)
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7. which type of asymptote will the following polynomial have: * $r(x)=…
B. Slant Asymptote
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week of 11/3: ind. practice question 2 of 6 (1 point) | question attemp…
\(y=\frac{3}{5}x - 7\)
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if an offer specifies no time limit in which to accept: the offeree has…
the offeree has a reasonable period during which to accept.
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russia and japan quick check which of the following best explains why i…
Ivan IV was struggling against the boyars and wanted to limit their power.
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name: date: block: topic 1: graphing exponential & logarithmic function…
1. Exponential decay 2. Exponential growth 3. - Domain: \((-\infty,\infty)\) - Range: \((-6,\infty)\) - End Behavior: As \(x\to\infty\), \(f(x)\to\infty\); As \(x\to-\infty\), \(f…
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let $f(x)=x^{2}e^{x}$. $f(x)=\\square$
\(e^{x}(x^{2}+2x)\)
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let ( g(x)=sqrt{x} sin (x) ). ( g^{prime}(x)= )
\(\frac{\sin(x)}{2\sqrt{x}}+\sqrt{x}\cos(x)\)
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question 1-7 which is not a primary issue in the legislative process at…
Explanation Format
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a) $g(x)=(x^{2}+2)^{4}(x^{2}+5)^{7}$ $g(x)=(x^{2}+3)^{4}cdot(x^{2}+8)^{…
a) \(g'(x)=2x(x^{2}+3)^{3}(x^{2}+5)^{6}(11x^{2}+41)\) b) \(y'=\frac{e^{-3x}(1 - 3x)}{2\sqrt{1+xe^{-3x}}}\)
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determine the domain of the following graph:
\([-8,9]\)
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1. what was the primary medium for political communication in the early…
1. B. Newspapers 2. B. Radio and television 3. A. Instant communication 4. B. Spread of misinformation 5. B. By giving smaller parties a chance
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powers of the legislative, executive, and judicial branches to limit th…
checks and balances.
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13. what does the amendment process allow the constitution to do? a abo…
13. B. Adapt to changing times and societal values 14. B. The first ten amendments 15. B. Through the Fourteenth Amendment's Due Process Clause 16. C. Times of war
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21. $limlimits _{x\to 0}\frac {sin mx}{sin nx}$
$\frac{m}{n}$
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20. \\( \\lim _ { x \ ightarrow 0 } \\frac { x } { \\sin ^ { - 1 } ( 3 …
$\frac{1}{3}$
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19. $limlimits_{x \to 0} \frac{\tan^{-1}(2x)}{3x}$
\(\frac{2}{3}\)
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18. $limlimits_{x\to+infty}\frac{ln(1 + e^{x})}{5x}$
\(\frac{1}{5}\)
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17. \\lim _{x \ ightarrow \\infty} \\frac{\\ln \\ln x}{\\sqrt{x}}
\(0\)
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if $\\tan(\\theta)=\\frac{24}{7},0\\leq\\theta\\leq\\frac{\\pi}{2}$, th…
\(\sin(\theta)=\frac{24}{25}\), \(\cos(\theta)=\frac{7}{25}\), \(\sec(\theta)=\frac{25}{7}\)
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if $\\theta=\\frac{\\pi}{4}$, then find exact values for the following:…
\(\sec(\frac{\pi}{4})=\sqrt{2}\), \(\csc(\frac{\pi}{4})=\sqrt{2}\), \(\tan(\frac{\pi}{4}) = 1\), \(\cot(\frac{\pi}{4})=1\)
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find the coordinates of a point on a circle with radius 5 corresponding…
\((x,y)=(-0.868,-4.924)\)
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find an angle \\( \\theta \\) with \\( 0^{\\circ}<\\theta<360^{\\circ} …
For the sine function value: \(350\) degrees For the cosine function value: \(170\) degrees
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if ( \theta=\frac{-5 pi}{4} ), then ( sin (\theta)= ) ( cos (\theta)= )…
\(\sin(\theta)=\frac{\sqrt{2}}{2}\), \(\cos(\theta)=-\frac{\sqrt{2}}{2}\)
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practice assignment 7.3 unit circle: sine and cosine score: 7/12 answer…
\(\sin(\theta)=-\frac{\sqrt{3}}{2}\), \(\cos(\theta)=\frac{1}{2}\)
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if $\\theta=\\frac{-1\\pi}{6}$, then $\\sin(\\theta)=\\square$ $\\cos(\…
\(\sin(\theta)=-\frac{1}{2}\), \(\cos(\theta)=\frac{\sqrt{3}}{2}\)
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without using a calculator, compute the sine and cosine of \\( \\frac {…
Reference angle: \(\frac{\pi}{3}\) radians. Quadrant: \(4\) \(\sin(\frac{5\pi}{3})=-\frac{\sqrt{3}}{2}\) \(\cos(\frac{5\pi}{3})=\frac{1}{2}\)
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from the information given, find the quadrant in which the terminal poi…
(a) III (b) II (c) I (d) IV
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from the information given, find the quadrant in which the terminal poi…
(a) III (b) II (c) I (d) IV
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can have limited liability sole proprietorship partnership private (clo…
Private (Close) Corporation, "S" Corporation, "C" Corporation, Nonprofit Corporation, Hybrid Structure.
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can have unlimited liability sole proprietorship partnership private (c…
Sole Proprietorship, Partnership
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12. what strengthens arguments? a. fancy language b. complicated terms …
12. d. Clear proof 13. c. Multiple paragraph classifications 14. c. Switching to reusable straws 15. c. Audience needs
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9. sketch a quadratic graph with vertex (1, 3) that increases then decr…
Sketch a parabola opening downwards with vertex \((1,3)\) passing through points like \((0,2),(2,2),(-1,-1),(3,-1)\) (the actual sketch is done on the given coordinate - grid).
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write a system of equations to describe the situation below, solve usin…
Each airline's fee was \(\$76\), and the bag was \(6\) kilograms over the weight limit.
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this is similar to section 4.2 problem 20: determine the indefinite int…
\(-\frac{2}{3x^{3}}+C\)
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this is similar to section 4.2 problem 44: determine the indefinite int…
\(200e^{0.02x}+C\)
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this is similar to section 4.2 problem 30: determine the indefinite int…
\(3x^{-2}-4\ln|x|+C\)
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this is section 4.2 problem 28: determine the indefinite integral. use …
\(-12\sqrt[3]{x}+C\)
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this is similar to section 4.2 problem 22: determine the indefinite int…
\(-\frac{24}{\sqrt[4]{x}}+C\)
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this is similar to section 4.2 problem 18: determine the indefinite int…
\(-\frac{10}{9}x^{\frac{9}{5}}+C\)
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this is similar to section 4.2 problem 14: determine the indefinite int…
\(\frac{24}{7}x^{\frac{7}{6}}+C\)
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determine the indefinite integral. use capital c for the free constant.…
$\frac{3}{5}x^5-\frac{5}{3}x^3 + 2x+C$
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what significant purchase in 1803 led to the need for agreements like t…
1. a. The Louisiana Purchase 2. a. Maine 3. a. 1820 4. a. \(36^{\circ}30'\) North latitude 5. d. James Monroe 6. b. The Tallmadge Amendment
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f(2)=\\square
\(0\)
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a model car travels around a circular track with radius 5 feet. let z d…
B. \(\frac{dZ}{dt}=\frac{40}{\sqrt{545}}\), so the model car is moving away from the fixed point at a rate of approximately \(1.7\) feet per second.
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2. ( 12pts) solve the differential equation $yy(x + 1)=y^{2}+15$
\(y=\pm\sqrt{K(x + 1)^{2}-15}\), where \(K\) is an arbitrary constant.
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a particle moves on the hyperbola ( xy = 15 ) for time ( t geq 0 ) seco…
A. \(y\) is decreasing by 10 units per second.
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a tube is being stretched while maintaining its cylindrical shape. the …
A. The surface area is increasing by \(28\pi\) square millimeters per second.
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a model car travels around a circular track with radius 5 feet. let z d…
A. \(\frac{dZ}{dt} = 0\), so the distance between the model car and the fixed point is constant.
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below is the graph of $y = e^{x}$.transform it to make the graph of $y=…
- Domain: \((-\infty,\infty)\) - Range: \((-\infty,-1)\)
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a particle moves on the hyperbola ( xy = 18 ) for time ( tgeq0 ) second…
A. \(x\) is decreasing by \(4\) units per second.
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question if θ is an angle in standard position and its terminal side pa…
\(-4\)
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5 mark for review let ( x ) and ( y ) be functions of time ( t ) such t…
B. \(\frac{dx}{dt}=-\frac{dy}{dt}\)
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in a certain factory, assume that the number of workers is constant. th…
D. \(\frac{dU}{dt}=\frac{-k}{N^{2}}(\frac{dN}{dt})\)