微積分
極限、導関数、最適化、関数挙動。
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find the absolute maximum and minimum, if either exists, for the functi…
A. The absolute maximum is \(1032\) at \(x = 0\)
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find the absolute extremum, if any, for the following function. f(x)=3x…
B. There is no absolute minimum. B. There is no absolute maximum.
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find the absolute extremum, if any, for the following function. f(x)=3x…
B. There is no absolute minimum.
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find the absolute maximum and minimum values of the function over the i…
The absolute maximum value is \(43\) at \(x = 6\). The absolute minimum value is \(-5\) at \(x=-2\).
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find the absolute maximum and minimum values of the function over the i…
The absolute minimum value is \(7\) at \(x = 0\)
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a rocket is launched straight up from the top of a 30 - foot tall build…
27 feet per second
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10 multiple choice 2 points which of these is usually true in nations w…
10. Businesses that are inefficient risk going out of business. 11. satisfying unlimited wants with limited resources. 12. The government values usual occupational roles over econ…
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7 multiple choice 2 points in which economic system does the government…
7. C. command 8. B. competition between businesses 9. B. command economy
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4 multiple choice 2 points a local government has a limited amount of m…
- Question 4: C. a clean environment - Question 5: A. an increased tax base
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a local government has a limited amount of money to spend. it decides t…
- **Question 5**: a clean environment - **Question 6**: decreased saving and increased spending
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find the absolute maximum and minimum values of the function over the i…
The absolute minimum value is \(7\) at \(x = 0\)
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find the absolute maximum and minimum values of the function over the i…
The absolute maximum value is \(61\) at \(x = 9\).
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for the graph of ( y = f(x) ) shown to the right, find the absolute min…
B. The absolute maximum is \(10\) at \(x = 10\)
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for the graph of ( y = f(x) ) shown to the right, find the absolute min…
B. The absolute minimum is \(4\) at \(x = 7\)
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refer to the graph of ( y = f(x) ) shown on the right. find the absolut…
B. The absolute maximum is \(16\) at \(x = 15\)
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refer to the graph of ( y = f(x) ) shown on the right. find the absolut…
B. The absolute maximum is \(11\) at \(x = 18\)
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draw the terminal side of an angle in standard position that measures $…
Non - negative coterminal angle: \(0\pi\) Negative coterminal angle: \(-4\pi\)
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refer to the graph of ( y = f(x) ) shown on the right. find the absolut…
A. The absolute minimum is \(5\) at \(x = 3\) and \(x = 10\).
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by inspecting the graph of the function, find the absolute maximum and …
The absolute maximum is \(1\) (at \(x = 8\)) and the absolute minimum is \(0\) (at \(x = 27\)).
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part b what is the average rate of change on the interval -4,2? find th…
\((-4, -2)\)
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the graph of function ( f(x) ) is shown. part a for which values of ( x…
A. \( x < 0 \)
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by inspecting the graph of the function, find the absolute maximum and …
The absolute minimum is \(-2\) (at \(x = 1\)) and the absolute maximum is \(1\) (at \(x = 64\)).
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draw the terminal side of an angle in standard position that measures $…
Non - negative coterminal angle: \(0\pi\). Negative coterminal angle: \(-4\pi\).
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summarize the pertinent information obtained by applying the graphing s…
For concavity: B. The function is concave upward on \((-\infty,-1),(1,\infty)\). It is concave downward on \((-1,1)\) For inflection points: A. There is an inflection point at \(x…
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summarize the pertinent information obtained by applying the graphing s…
B. The function is concave upward on \((-\infty,-1)\cup(1,\infty)\). It is concave downward on \((-1,1)\).
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summarize the pertinent information obtained by applying the graphing s…
For the increasing and decreasing intervals: The function is increasing on \((-\infty,0)\) and decreasing on \((0,\infty)\). For the local extrema: There is a local maximum at \(x…
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summarize the pertinent information obtained by applying the graphing s…
C. There are no vertical asymptotes. B. The function is increasing on \((-\infty,0)\). It is decreasing on \((0,\infty)\).
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a farmer estimates that he has 9,000 bees producing honey on his farm. …
The function \(f(x)=9000(0.95)^x\) represents the situation. After 2 years, the farmer can estimate that there will be about 8120 bees remaining. The domain values, in the context…
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summarize the pertinent information obtained by applying the graphing s…
For horizontal asymptotes: A. The function has one horizontal asymptote, \(y = 0\). For vertical asymptotes: C. There are no vertical asymptotes.
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summarize the pertinent information obtained by applying the graphing s…
For the y - intercept: A. The y - intercept(s) is/are at \(y = 9\). For the horizontal asymptote: A. The function has one horizontal asymptote, \(y = 0\).
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summarize the pertinent information obtained by applying the graphing s…
For the domain: B. The domain is all real \(x\). For the \(x -\)intercepts: B. There are no \(x -\)intercepts. For the \(y -\)intercepts: A. The \(y -\)intercept(s) is/are at \(y …
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summarize the pertinent information obtained by applying the graphing s…
For the domain: B. The domain is all real \(x\). For the \(x\) - intercepts: B. There are no \(x\) - intercepts.
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summarize the pertinent information obtained by applying the graphing s…
B. The domain is all real \( x \).
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summarize the pertinent information obtained by applying the graphing s…
For the concavity part: The function is concave upward on \((-\infty,-3),(3,\infty)\). It is concave downward on \((-3,3)\). For the inflection - point part: There are no inflecti…
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question 4 of 10 what is meant by \post-racial\? a. race impacts your e…
B. Race no longer limits your place in society.
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summarize the pertinent information obtained by applying the graphing s…
C. There is a local maximum at \(x = 0\) and there is no local minimum. B. The function is concave upward on \((-\infty,-3),(3,\infty)\). It is concave downward on \((-3,3)\).
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summarize the pertinent information obtained by applying the graphing s…
B. There is a local maximum at \(x = 0\). There is no local minimum.
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summarize the pertinent information obtained by applying the graphing s…
B. The function is increasing on \((-\infty,- 3),(-3,0)\). It is decreasing on \((0,3),(3,\infty)\)
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summarize the pertinent information obtained by applying the graphing s…
A. The function has one horizontal asymptote, \(y = 3\).
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summarize the pertinent information obtained by applying the graphing s…
A. The inflection point(s) is(are) \(x=-6,6\)
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summarize the pertinent information obtained by applying the graphing s…
A. \(f(x)\) is concave upward on \((-6,6)\) and concave downward on \((-\infty,-6),(6,\infty)\) A. The inflection point(s) is(are) \(x=-6,6\)
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summarize the pertinent information obtained by applying the graphing s…
A. \(f(x)\) is concave upward on \((-6,6)\) and concave downward on \((-\infty,-6),(6,\infty)\)
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summarize the pertinent information obtained by applying the graphing s…
A. \( f(x) \) is increasing on \( (0,\infty) \) and decreasing on \( (-\infty,0) \). There is a local minimum at \( x = 0 \). For the horizontal - asymptote part: We know that \( …
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summarize the pertinent information obtained by applying the graphing s…
A. \(f(x)\) is increasing on \((0,\infty)\) and decreasing on \((-\infty,0)\)
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summarize the pertinent information obtained by applying the graphing s…
A. The y - intercept(s) is (are) \(y = 3.6\) B. There are no vertical asymptotes B. There are no horizontal asymptotes
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how did colonists react to the proclamation of 1763? they were grateful…
C. They were angry that Britain had limited the area available for settlement.
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summarize the pertinent information obtained by applying the graphing s…
B. There are no x - intercepts. A. The y - intercept(s) is (are) \(y = 3.6\) B. There are no vertical asymptotes.
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summarize the pertinent information obtained by applying the graphing s…
For the domain: B. The domain is all real numbers. For the \(x -\) intercept: B. There are no \(x -\) intercepts. For the \(y -\) intercept: A. The \(y -\) intercept(s) is (are) \…
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summarize the pertinent information obtained by applying the graphing s…
For the domain: B. The domain is all real numbers. For the \(x -\) intercept: B. There are no \(x -\) intercepts.
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summarize the pertinent information obtained by applying the graphing s…
B. The domain is all real numbers.
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summarize the pertinent information obtained by applying the graphing s…
B. There are no inflection points.
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summarize the pertinent information obtained by applying the graphing s…
For the concavity: - The function is concave upward on \((2,\infty)\) and concave downward on \((-\infty,2)\) (Option C). For inflection points: - There are no inflection points (…
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summarize the pertinent information obtained by applying the graphing s…
- For local extrema: D. There are no local extrema. - For concavity: C. The function is concave upward on \((2,\infty)\). It is concave downward on \((-\infty,2)\)
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someone who has had an _ professional career is celebrated and outstand…
B. illustrious
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summarize the pertinent information obtained by applying the graphing s…
D. There are no local extrema.
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summarize the pertinent information obtained by applying the graphing s…
C. The function is decreasing on \((-\infty,2)\cup(2,\infty)\). It is never increasing.
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the function $y = f(x)$ is graphed below. plot a line segment connectin…
\(26\)
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in a certain town, one large factory employs most of the residents. the…
1. The factory will lose a chance to hire some qualified workers. 2. a decrease in consumer spending 3. satisfying unlimited wants with limited resources.
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summarize the pertinent information obtained by applying the graphing s…
- For the y - intercept: A. The y - intercept(s) is/are at \(y=-1\) - For the horizontal asymptote: A. The function has one horizontal asymptote, \(y = 1\)
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the function $y = f(x)$ is graphed below. plot a line segment connectin…
The average rate of change of the function \(f(x)\) on the interval \(-6\leq x\leq-2\) is \(1\).
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graph the function ( y = 2^{x - 5}-1 ) using the given table of values …
Plot the points from the tables \((x,y)\) (e.g., \((-10,-0.9999695),(-9,-0.999939),\cdots,(10,31)\)) on the coordinate plane and then connect them with a smooth curve that approac…
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which corporation uses a double layer of taxation? c corporation limite…
C. C corporation
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use the account features to match the cons (disadvantages) of each savi…
- “No debit card and low - interest rate means slower growth.”: Basic Savings Account - “No physical location and variable interest rates. If rates decrease your money may not gro…
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what role does territory play in state formation? its optional for stat…
It defines the state's physical limits.
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factors and zeros find all zeros. 1) ( f(x)=(2 x - 1)(x - 5) ) 2) ( f(x…
The zeros of \(f(x)=(2x - 1)(x - 5)\) are \(x=\frac{1}{2}\) and \(x = 5\)
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question 1 - 30 why is the constitution often referred to as a \living …
It can be changed as needed.
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25 select all answers that give either an example of or the meaning of …
25. coming up with reasons for buying expensive shoes, saying why you made a decision, explaining your questionable actions 26. a candidate’s speech that heavily influences your o…
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convert the angle in degrees to radians. express your answer as a multi…
\(\frac{2\pi}{3}\) radians
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show what you know match each graph with the description of its feature…
- The graph in the middle (below the top - middle graph) matches "Does not have a maximum or a minimum". - The second graph (middle among the three graphs at the top) matches "Inc…
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select all points where relative maximums values occur on the graph of …
D, F
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course ap precalculus due mon, oct 27, 2025 2c default gallery 2. ( y =…
The possible rational roots are \(1,-1,\frac{1}{2},-\frac{1}{2},2,-2,5,-5,\frac{5}{2},-\frac{5}{2},10,-10\).
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1. identify the types of work that free blacks in the south participate…
1. Work types: farming (sharecropping), skilled trades, domestic service, small business. Challenges/dangers: limited education, discriminatory laws (Black Codes), violence (from …
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122 course ap precalculus segment 36a - finding polynomial equatio due …
No. By the Rational Root Theorem, for the polynomial \(y=x^{4}+7x^{3}+18x^{2}+20x + 8\) with leading - coefficient \(a_n = 1\) and constant term \(a_0 = 8\), the possible rational…
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dollar diplomacy listen which of these statements describes tafts reaso…
He could limit the financial foothold foreign powers could gain in other countries.
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decide to post on different social media platforms to gather more respo…
Encouraging diverse points of view to better understand and solve real - world problems.
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exam #1 score: 16.33/40 answered: 11/21 question 12 let ( f(x)=2 x^{3}-…
(a) Local Minimum at \(x = 9\) with output value of \(-240\) (b) Local Maximum at \(x = 2\) with output value of \(103\)
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question 4 from the graph of a function above, find the interval(s) of …
(a) The function is increasing on the intervals \((-3,-2)\cup(1,\infty)\) (b) The function is decreasing on the intervals \((-\infty,-3)\cup(-2,1)\)
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if omni means \all\ and potent means \power,\ what is the best definiti…
mighty
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a person who was injured in a war and lost a portion of his leg is cons…
A. impairment
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a student who has trouble hearing and must have a written copy of class…
C. participation restriction
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1. what is one way to protect an individuals dignity? not allowing them…
1. Learning their history and preferences 2. Authorized persons 3. Keep a written authorization signed by the resident or responsible party 4. Ask the resident what to do with the…
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question 17 2 points all of the following are examples of disadvantages…
C. being your own boss
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the terminal point ( p(x,y) ) determined by a real number ( t ) is give…
\(\sin t=\frac{12}{13}\), \(\cos t=\frac{5}{13}\), \(\tan t=\frac{12}{5}\)
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\like many thinkers of the era, he wrote extensively about the state of…
- First question: Jean Jacques Rousseau - Second question: Olaudah Equiano
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question 6 (1 point) identify the individual best described by the foll…
Question 6: Mary Wollstonecraft Question 7: Denis Diderot
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\a proto - feminist, she wrote extensively about the treatment of women…
- Question 7: Denis Diderot - Question 8: Thomas Paine
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find the exact value of the trigonometric function at the given real nu…
(b) \(-2\) (c) \(\sqrt{3}\)
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market economy = limited government regulation, lower taxes * canada us…
- Market economy: C. both - Members of NAFTA/USMCA: C. both
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select the sentence that conveys a mostly objective tone. state standar…
One of the main criticisms of state standardized tests is their narrow focus on a limited set of subjects and skills. By emphasizing math and reading proficiency, these tests negl…
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a cylindrical container is being filled with water. at t = 0, the volum…
\(0.64\)
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a childs adoptive parents go to court to finalize the childs adoption. …
a court of civil jurisdiction
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for the following scenario, find the linear function that describes the…
The function is \(f(x)=-61x + 400\), the slope is \(-61\), and the function is decreasing.
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use implicit differentiation to find \\( \\frac { d y } { d x } \\) wit…
\(\frac{5ye^{5xy}}{8y^{7}-5xe^{5xy}}\)
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use implicit differentiation to find \\( \\frac { d y } { d x } \\) wit…
\(\frac{5ye^{5xy}}{8y^{7}-5xe^{5xy}}\)
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graph all vertical and horizontal asymptotes of the rat $f(x)=\\frac{-1…
Vertical asymptotes: \(x=-1\) and \(x = 4\); Horizontal asymptote: \(y = 0\)
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graph all vertical and horizontal asymptotes of the rational $f(x)=\\fr…
The horizontal asymptote is $y =-\frac{1}{2}$ and there is no vertical asymptote.
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what is a great way to become an active participant on linkedin and twi…
- Question 1: all of the above - Question 2: limited audience targeting - Question 3: true
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categorize each sentence as formal or informal language. formal languag…
- Formal Language: "If you grow impatient with me, I may feel obligated to resort to violent measures.", "Excessive consumption of confections may result in dental deterioration."…
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categorize each sentence as formal or informal language. formal languag…
- Formal Language: "If you grow impatient with me, I may feel obligated to resort to violent measures.", "Excessive consumption of confections may result in dental deterioration."…
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find the slope of the tangent line to the curve (a lemniscate) $2(x^{2}…
\(\frac{9}{13}\)