微积分
极限、导数、最优化与函数性质。
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find the derivative of y = 2x²(3x - 4)
$18x^{2}-16x$
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e) using what you learned in class, write one/two sentences on how the …
The unit circle is useful for understanding trigonometric functions. It helps in visualizing the values of sine, cosine, and tangent for different angles. Angles in standard posit…
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multiple choice which type of policy pays benefits to a policyholder co…
D. Reimbursement
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verify that the equation is an identity. \\frac{\\cos 2 x}{\\sin x}=\\c…
\(\frac{\cos2x}{\sin x}\)
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use the graph of f to complete parts (a) through (i). if a limit does n…
B. The value of \( f(1) \) is undefined.
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verify that the following equation is an identity. (sin 36 x=4 sin 9 x …
\(2\sin(3x)\cos(3x)\)
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use identities to find values of the sine and cosine functions for the …
\(\frac{3\sqrt{130}}{130}\)
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use the graph of f in the figure to find the following values or state …
B. The value of \( f(0) \) is undefined
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use identities to find the values of the sine and cosine functions for …
\(\cos\theta=\frac{9\sqrt{106}}{106}\)
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if \\( \\lim _{x \ ightarrow a^{-}} f(x)=l \\) and \\( \\lim _{x \ ight…
A. \(L = M\)
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let ( f(x)=\frac{x^{2}-36}{x - 6} ). (a) calculate ( f(x) ) for each va…
12
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let ( f(x)=\frac{x^{2}-36}{x - 6} ). (a) calculate ( f(x) ) for each va…
| \(x\) | \(5.9\) | \(5.99\) | \(5.999\) | \(5.9999\) | \(6.1\) | \(6.01\) | \(6.001\) | \(6.0001\) | | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | | \(f(x)=\fr…
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if a snowball melts so that its surface area decreases at a rate of 1cm…
\(\frac{-1}{20\pi}\text{ cm/min}\)
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1. illustrate each of the following trigonometric ratios using a sketch…
a) Standard angle \(\frac{3\pi}{4}\), reference angle \(\frac{\pi}{4}\), terminal side in the second quadrant with \(x =-\frac{\sqrt{2}}{2}\) b) Standard angle \(\frac{7\pi}{6}\),…
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what does ruth benedict call actions that fall outside the limits of ex…
abnormal or deviant
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what is one thing the u.s. government did to prepare to mobilize troops…
A. The War Production Board helped factories quickly shift from only making consumer goods to making war materials.
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value: 1 what is one thing the u.s. government did to prepare to mobili…
# Brief Explanations: The War Production Board's main role[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]
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multiple choice 5 points according to mcintosh, white privilege is ofte…
3. Invisible to those who have it 4. Feeling safe shopping in most stores
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value: 4 match the policy to the description. a. offered free transport…
1. b. prohibited all immigration from a specific country, replaced by a quota limitation of immigration from that country 2. a. offered free transport back to the home country of …
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value: 1 what was a misconception that the public had about the hoover …
A. Hoover did nothing to help correct the Great Depression.
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teams from 32 countries gathered in brazil in 2014 for the world cup of…
C. for example.
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graphic arts use the information below to answer the question. graphic …
It extends beyond the confines of any particular industry.
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find the horizontal asymptote of the following function. give your answ…
\(\varnothing\)
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question find the horizontal asymptote for the function given below. gi…
\(y=\frac{7}{3}\)
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question what is the horizontal asymptote of the graph of ( f(x)=\frac{…
\(y = - 2\)
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machine setup and operation use the information below to answer the que…
It provides a foundation for potential roles in the future.
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machine setup and operation use the information below to answer the que…
It provides a foundation for potential roles in the future.
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practice the skill underline the infinitive or infinitive phrase in eac…
1. Underline: to help; Active 2. Underline: to be overcome; Passive 3. Underline: to work; Active 4. Underline: to be taught; Passive 5. Underline: to be purchased; Passive 6. Und…
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determine the domain on which the following function is decreasing.
The function is decreasing on the interval $(3,8)$.
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the graph of a function ( f ) is illustrated to the right. use the grap…
C.
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the graph of a function f is illustrated to the right. use the graph of…
C.
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the graph of a function f is illustrated to the right. use the graph of…
C.
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the graph of a function ( f ) is illustrated to the right. use the grap…
Based on the rules of function transformations (horizontal shift left by \(2\) units and vertical shift down by \(2\) units), the correct graph can be identified among the options…
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the graph of a function ( f ) is illustrated to the right. use the grap…
The graph of \(H(x)=f(x + 2)-2\) is obtained by first shifting the graph of \(y = f(x)\) 2 units to the left and then 2 units down.
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the graph of a function f is illustrated to the right. use the graph of…
A.
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find the absolute extrema of the function (if any exist) on each interv…
For part (c) \((0,8)\): - minimum \((x,y)=\text{DNE}\) - maximum \((x,y)=\text{DNE}\)
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find the absolute extrema of the function on the closed interval. y = 3…
minimum \((x,y)=(0,0)\) maximum \((x,y)=(-1,5)\)
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find the absolute extrema of the function on the closed interval. $y = …
minimum \((x,y)=(\pi,-5)\) maximum \((x,y)=(0,5)\) (smaller \(x\) - value) \((x,y)=(2\pi,5)\) (larger \(x\) - value)
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find the absolute extrema of the function on the closed interval. $h(t)…
minimum \((t,h)=(6,\frac{6}{5})\) maximum \((t,h)=(2,2)\)
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find any critical numbers of the function. (enter your answers as a com…
\(0,-\sqrt{2},\sqrt{2}\)
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consider the function ( f(x)=\frac{x - 4}{x + 2} ). is ( x=-2 ) a criti…
No. The function is not defined at \(x=-2\).
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(a) if ( a ) is the area of a circle with radius ( r ) and the circle e…
\(2\pi r\)
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find dy. y = 4 ln (2 + x^{4}) dy = □ dx
\( dy=\frac{16x^{3}}{2 + x^{4}}dx \)
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find dy. y = sin (7x²) dy = □ dx
\(14x\cos(7x^{2})\)
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find dy. y = \\frac{2x}{1 + 5x^{2}} dy = \\square dx
\(\frac{2-10x^{2}}{(1 + 5x^{2})^{2}}\)
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find the linearization ( l(x) ) at ( x = a ). ( f(x)=-4 x^{3}-5 x + 1 q…
\( L(x)=-113x + 217 \)
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find the derivative of y with respect to x. ( y=sec ^{-1}left(2 x^{2}+1…
\(\frac{2}{(2x^{2}+1)\sqrt{x^{2}+1}}\)
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find the derivative of y with respect to t. ( y = arcsin ( sqrt { 13 } …
\(\frac{\sqrt{13}}{\sqrt{1 - 13t^{2}}}\)
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find the limit. if in doubt, look at the functions graph. \\( \\lim _{x…
\(\frac{\pi}{2}\)
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find the limit. if in doubt, look at the functions graph. lim cos^{-1}x…
\(\pi\)
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find the exact value of the expression \\( \\tan \\left( \\arccos \\lef…
$\sqrt{3}$
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use a reference triangle in an appropriate quadrant to find the given a…
\(\frac{\pi}{3}\)
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use the formula $f(x)=limlimits_{z\to x}\frac{f(z)-f(x)}{z - x}$ to fin…
\(4x - 5\)
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the graph of a function f is illustrated to the right. use the graph of…
D.
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if ( f(x)=-x^{2}+2 x+3 ), what is the average rate of change over ( 0,3…
b. -1
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the graph of a function f is illustrated to the right. use the graph of…
C.
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which of the following functions has an average rate of change equal to…
B. \(f(x) = 7\)
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what is the average rate of change for $f(x)=x^{2}+1$ over $0,2$? a. 4 …
d. 2
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if ( f(x)=6 x^{2}+3 x ), what is the average rate of change over (1,3) …
d. 27
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if ( f(x)=2x^{3}-x + 4 ), what is the average rate of change over (0,2)…
c. 7
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what does a negative average rate of change indicate about a function o…
a. The function is decreasing.
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if $f(x)=2x^{3}-5x^{2}+3x - 7$, what is the average rate of change over…
c. 9
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what is the average rate of change of $f(x)=7x$ over $0,5$? a. 5 b. 7 c…
b. 7
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which interval has a positive average rate of change for $f(x)=-x^{2}+2…
d. \([0,1]\)
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for ( f(x)=4 x^{2}-5 x + 1 ), what is the average rate of change over (…
d. 7
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if ( f(x)=-x^{2}+2x + 3 ), what is the average rate of change over ( 0,…
b. -1
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the graph of a function ( f ) is illustrated to the right. use the grap…
B. Option Text
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how should this sentence be changed? my jeans were hanging on the cloth…
b) No change needs to be made to this sentence. b) condition of being limited to one person
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the zoo has a limit on how many people are allowed in the giraffe exhib…
$34$
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the zoo has a limit on how many people are allowed in the giraffe exhib…
The total number of people in the exhibit is 34. The equation is \(x=9\times3 + 7\) (where \(x\) represents the total number of people).
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starting with the graph of a basic function, graph the following functi…
| Points that lie on the graph of \(y = x^{3}\)| Corresponding points that lie on the graph of \(g(x)=(x + 4)^{3}+1\)| |---|---| |\((-1,-1)\)| \((-5,0)\)| |\((0,0)\)| \((-4,1)\)| …
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in two to three sentences for each theory explain the four theories on …
- Inactivity - theory: Survival - based, keeps safe from predators. - Energy - conservation - theory: Reduces energy use, conserves for resource - limited species. - Restorative -…
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use the circle to select the correct answer this excerpt is from a lett…
C. To allow different points of view to be shared with the public
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this excerpt explains the system of federalism. in a single public, all…
Part A: B. It limits government authority in order to avoid abuses of power Part B: D. Power divided between governmental bodies protects the people
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use the graph to determine (a) open intervals on which the function is …
A. The function is increasing on the interval(s) \((-3,6)\)
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what condition is needed for a democracy to thrive in a society? a indu…
D. all of the above
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if (1,7) is a point on the graph of y = f(x), which of the following mu…
\((1, - 56)\)
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use the graph of ( y = f(x) ) shown to the right to graph the following…
Plot the points \((-5,1)\), \((0,-5)\), \((5,-5)\) and connect them to graph \(y = g(x)\).
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decide whether the following statement is true or false. the slope of a…
True
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what is the only type of function that has a constant average rate of c…
D. linear function
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which of the following are appropriate calls to action for an argument …
Join local or online advocacy groups focused on privacy rights, Boycott all technology products with facial recognition capabilities until comprehensive regulations are in place, …
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decide whether the following statement is true or false. the average ra…
A. False, the average rate of change is \(3\)
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one of the challenges of the rural poor is that they have limited acces…
T
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question 31 2 pts how does the lifetime tenure of supreme court justice…
It enables justices to make decisions without fear of losing their positions to re - election campaigns.
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what is the main purpose of diversity jurisdiction in the state and fed…
To ensure fairness in legal proceedings
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how can the privilege of judicial review limit the power of the nationa…
By finding federal laws and actions to be unconstitutional, rendering them null and void
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find the slope of the curve at the given point. $8y^{8}+5x^{7}=3y + 10x…
\(\frac{-25}{61}\)
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if ( x^{3}+y^{3}=19 ), find the value of ( \frac{d^{2} y}{d x^{2}} ) at…
\(\frac{76}{243}\)
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if ( x^{3}+y^{3}=19 ), find the value of ( \frac{d^{2} y}{d x^{2}} ) at…
\(\frac{140}{243}\)
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use implicit differentiation to find \\frac{dy}{dx}. x = \\tan y
\(\frac{dy}{dx}=\frac{1}{1 + x^{2}}\)
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use implicit differentiation to find $\\frac{dy}{dx}$. $4y^{2}=\\frac{5…
\(\frac{5}{2y(5x + 2)^{2}}\)
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determine the interval(s) on which the function is (strictly) decreasin…
\([-5,-1],[3,4]\)
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find the derivative of y with respect to x. $y = \\frac { \\ln x } { 5 …
\(\frac{5}{x(5 + 3\ln x)^{2}}\)
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find the critical numbers of the function. (enter your answers as a com…
\(\frac{\pi}{3},\pi,\frac{5\pi}{3}\)
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find the equation of all vertical asymptotes of the following function.…
$x = - 2$
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find the derivative of y with respect to x. $y = \\ln(x^{10})$
$\frac{10}{x}$
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find the limit. $$\\lim_{x \\to 39} \\frac{x - 39}{\\sqrt{x + 10} - 7}$…
\(14\)
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3. what is a key principle recognized by trauma - specific intervention…
- 3. Providers work in collaborative ways to empower clients. - 4. Life Events Checklist - 5. It increases the risk of behavioral health disorders.
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1. when is the most appropriate time to screen clients for trauma? anyt…
1. Delay screening a person for trauma if they are under the influence of alcohol or drugs in the session. 2. Encouraging meaning - making from the trauma experience.
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suppose that the differentiable function ( y = f(x) ) has an inverse, t…
\(4\)