微積分
極限、導數、最優化與函數性質。
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factor each of the following expressions a ( 16 x ^ { 4 } - 36 = ) b ( …
a. \(4(2x^{2}+3)(2x^{2}-3)\) b. \((12x^{2}+7y^{2})(12x^{2}-7y^{2})\)
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example 4 | a shifted sine curve find the amplitude, period, and phase …
Amplitude: \(3\), Period: \(\pi\), Phase - shift: \(\frac{\pi}{4}\) (to the right)
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your turn! choose the option that best answers the question. find the e…
A. \(\frac{1}{2}\)
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after much debate with his partner, boris decides to become a stay - ho…
It doesn't count nonmarket activities.
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find the equation of the vertical asymptote $f(x)=\\log(x + 2)$
\(x=-2\)
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31. levi signed up for a streaming music service that costs $7 per mont…
When downloading 15 songs, Levi has to pay \(\$29.5\). When downloading \(s\) songs, he has to pay \(\$(7 + 1.5s)\).
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the following equation involves a trigonometric equation in quadratic f…
A. \(x=\frac{3\pi}{2}+2k\pi,k\in\mathbb{Z}\)
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6. use the graph of the polynomial equation ( y = x ^ { 4 } - 10 x ^ { …
The curve has \(2\) inflection points.
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use a half - angle for $\tan 157.5^{circ}$ $\tan 157.5^{circ}=square$ (…
\(1-\sqrt{2}\)
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find the exact value of the trigonometric expression without the use of…
\(2+\sqrt{3}\)
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use a sum or difference formula to find the exact value of the trigonom…
\(\frac{\sqrt{6}+\sqrt{2}}{4}\)
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use one or more of the six sum and difference identities to find the si…
\(\frac{\sqrt{6}+\sqrt{2}}{4}\)
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the following question has two parts. answer part a first, and then par…
Part A: A. to limit the powers of government Part B: B. Congress shall make no law
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find all relative extrema of the function. use the second derivative te…
relative maximum \((x,y)=(0,2)\) relative minimum \((x,y)=(4,-30)\)
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find all relative extrema of the function. use the second derivative te…
relative maximum \((x,y)=\text{DNE}\) relative minimum \((x,y)=(6,-425)\)
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first read: comprehension identify the choice that best answers the que…
C. They wanted to inspire more public confidence in the government.
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when alexander, who is white, drives his car over the speed limit, a po…
First question: White privilege Second question: The physical separation of two groups, particularly in residence, but also in workplace and social functions.
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find all relative extrema of the function. use the second derivative te…
relative maximum \((x,y)=(7,49)\) relative minimum \((x,y)=\text{DNE}\)
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the graph of a companys marginal profit p(t) at month t is shown over t…
\((0,14),(28,42)\)
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factor each of the following expressions. a $x^{6}+15x^{3}+56=$ b $x^{4…
a. \( (x^{2}+7)(x^{2}+8) \) b. \( (x^{2}-7)(x^{2}+4) \)
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question 40 1 pts which of the following best describes political actio…
They are highly regulated by the Federal Election Commission.
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use the given information to find the exact value of a. sin 20, b. cos …
a. \(-\frac{840}{841}\) b. \(-\frac{41}{841}\) c. \(\frac{840}{41}\)
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use a sum or difference formula to find the exact value of cos 15° find…
\(\frac{\sqrt{6}+\sqrt{2}}{4}\)
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verify the identity. \\frac{\\csc \\theta \\sin \\theta}{\\cot \\theta}…
\(\frac{\csc\theta\sin\theta}{\cot\theta}=\frac{\csc\theta\times\sin\theta}{\cot\theta}=\frac{1}{\cot\theta}=\tan\theta\)
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score on last attempt: 0 out of 1 score in gradebook: 0 out of 1 reatte…
a. \((5x + 4)^2\) b. \((6x - 7)^2\)
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the function p models the population of rabbits on a farm and is given …
A. The population decreases and approaches a value of 0 rabbits.
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factor each of the following expressions a $16x^{2}-40x + 25=$ b $36x^{…
a. \((4x - 5)^{2}\) b. \(4(3x + 1)^{2}\)
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factor each of the following expressions. a. ( x^{2}+10 x + 25=) previe…
a. \((x + 5)^{2}\) b. \((x + 20)^{2}\)
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the chapter 1 quiz worth 10 points contains: 6 multiple choice and 4 tr…
B. False
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factor each of the following expressions. a. ( 100 x ^ { 2 } - 4 y ^ { …
a. \(4(5x + y)(5x - y)\) b. \((15x + 4y)(15x - 4y)\)
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score on last attempt: 0 out of 1 score in gradebook: 0 out of 1 reatte…
a. \(4(x + 4)(x - 4)\) b. \((4x + 1)(4x - 1)\)
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rewrite the expression as an algebraic expression in x. ( sin ( \tan ^ …
$\frac{x}{\sqrt{1 + x^{2}}}$
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find all solutions of the equation. \\( \\sin x = \\frac { \\sqrt { 3 }…
A. \(x=\frac{\pi}{3}+2n\pi,\frac{2\pi}{3}+2n\pi\)
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use a half - angle formula to find the exact value of the following exp…
$\frac{\sqrt{2+\sqrt{2}}}{2}$
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use the figure to find the exact value of the following trigonometric f…
$\frac{24}{25}$
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find the exact value of the following expression. (\tan left(\frac{pi}{…
$\sqrt{3}+2$
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use one or more of the six sum and difference identities to find the ex…
\(\frac{\sqrt{6}+\sqrt{2}}{4}\)
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use a half - angle formula to find the exact value of the following exp…
$\frac{\sqrt{6}-\sqrt{2}}{4}$
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use the figure to find the exact value of the following trigonometric f…
\(\frac{24}{25}\)
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find the quotient and remainder using either long division or synthetic…
The quotient is \(x^{3}-2x^{2}-6x + 3\), the remainder is \(5\).
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14. \halloween was limited due to the protestants rigid rules.\ what do…
14. A. Strict 17. D. Something done year to year
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find the exact value of the following expression. \\( \\tan \\left( \\f…
\(2+\sqrt{3}\)
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find the quotient and remainder using long division. \\frac{x^{3}-8 x^{…
The quotient is \(x^{2}-5x - 15\). The remainder is \(1\).
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use one or more of the six sum and difference identities to find the ex…
\(\frac{\sqrt{6}-\sqrt{2}}{4}\)
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find the quotient and remainder using long division: \\( \\frac { 4 x ^…
The quotient is \(4x-2\), the remainder is \(1\).
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verify the identity. ( \tan \theta cdot cos \theta cdot csc \theta = 1 …
A. \(\tan\theta\cdot\cos\theta\cdot\csc\theta=\frac{\sin\theta}{\cos\theta}\cdot\cos\theta\cdot\frac{1}{\sin\theta}=1\)
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find the horizontal asymptote for the following exponential function. r…
\(y=-7\)
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find the horizontal asymptote for the following exponential function. r…
\(y=-5\)
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in the blank spaces below, place the topic sentences that best support …
Social media platforms encourage concise writing. Social media allows students to practice honest, precise writing when communicating with friends.
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bob and ivan are going on a road trip together. they have a limited bud…
\( r \) is the independent variable and \( g \) is the dependent variable.
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a) on what interval(s) is the function increasing? enter your answer in…
a) \([5,10],[12,15]\) b) \([0,5],[10,12],[15,20]\)
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20. the text suggests evaluating topic ideas based on all of the follow…
B. necessary technology
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the population of the world in 1987 was 5 billion and the continuous gr…
\(6.04\)
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the media function as socializing agents because they provide an array …
1. True 2. False 3. False
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homework assignment 6.1 exponential functions score: 8/12 answered: 11/…
\(1.8395\)
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6. critical thinking: do the chambers of congress have term limits? why…
No, the chambers of Congress (the House of Representatives and the Senate) do not have term limits. The Constitution leaves it up to the voters to decide through elections whether…
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this is section 6.2 problem 14: for the function ( f(x,y)=x^{2}+4x+xy )…
(-4,8)
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let ( h(w)=-4 e^{w + 3} ) evaluate the following expressions. use a cal…
\( h(1)=-218.3928 \) \( h(4)=-4386.5328 \) \( h(-3)=-4 \) \( h(0)=-80.3420 \)
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is this a thesis statement? democratic countries should never limit the…
yes
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how did westward expansion affect the national climate in nineteenth - …
It brought the issue of slavery to the forefront of politics.
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which statement primarily appeals to ethos to support the position that…
The second statement ("Although it may come as a surprise... limit the typical summer'memory loss.'")
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what is an incentive? a. a way to minimize the use of resources on a pa…
B. a gesture or a reward to increase productivity or motivation
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the intense rivalry among romes powerful generals was a new development…
A. changes in the organization of the army, which directed soldiers' loyalty to their own commanders.
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your company manufactures 72 hr. emergency kits and sells them for a lo…
Social Media
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module 4 quiz (l16 - 20) 100 points possible answered: 7/15 question 8 …
Right - hand end behavior: As \(x\to+\infty\), \(f(x)\to-\infty\) Left - hand end behavior: As \(x\to-\infty\), \(f(x)\to+\infty\)
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the graph of ( f ) is given below. use the graph to answer the followin…
A) The turning points are at \((-1,5),(4,-3),(7,5)\) B) - The \(x -\)value(s) at which the function has a relative maximum is/are \(-1,7\) - The relative maximum/maxima are \(5,5\…
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for this question, please note that end points are considered relative …
\((1,1)\) \((1,1)\) \((4,4)\) \((4,4)\)
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section 5.1: exponent properties & section 5.2: radical score: 28/28 an…
\(\frac{\sqrt{143}}{11}\)
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use the intermediate value theorem to show that f has a zero between a …
Since \(f(2)=5>0\) and \(f(3)=-5<0\) and \(f(x)\) is continuous on \([2,3]\), by the Intermediate Value Theorem, \(f(x)\) has a zero between \(2\) and \(3\).
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question 10 what are some of the factors that make it difficult to oust…
Strong incumbents’ financial resources and name recognition
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what are the pros and cons of a bicameral system? pros: it consolidates…
Pros: It ensures thorough debate and multiple perspectives. Cons: It can result in legislative gridlock.
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the term \experiential retail\ applies to spirit halloween because it f…
- First question: B) Creating a memorable and engaging in - store environment - Second question: It generates revenue from an otherwise idle property - Third question: User - gene…
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why might lower - income groups not participate more in the interest gr…
A. Lack of awareness and information, B. Political apathy, D. Limited time and resources
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why might lower - income groups not participate more in the interest gr…
A. Lack of awareness and information, B. Political apathy, D. Limited time and resources
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what is a key difference between pacs and super pacs? pacs can contribu…
PACs can contribute directly to candidates, but super PACs cannot.
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49. what mathematical concept is used to explain the rhythmic patterns …
d. Fractions
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what was one action that progressives took to help the working poor? a.…
D. Supported limits on working hours
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suppose that on the interval ( i ), ( f(x) ) is positive and concave up…
a. \(0\) b. \(A = f'(x)\), \(B = f(x)\) c. \(0\) d. \(CU\)
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13. what mathematical concept is used to explain the arrangement of the…
B. Modular arithmetic
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2. of 800 cars that drove on a street during a week, 0.75% exceeded the…
$0.75\%$ of $800$ $=0.0075\cdot800$ $=6$ drivers
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3 - 1 additional practice leveled practice in 1 - 2, fill in the boxes …
1. The number of percussionists: The number of percussionists is \(20\%\) of \(60\). \(=0.2\times60\) \(=12\) percussionists. 2. The number of cars driving over \(35\) miles per h…
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evaluate the integral. int t ^ { 4 } left( 8 + t ^ { 5 } ight) ^ { 6 } …
\(\frac{(8 + t^{5})^{7}}{35}+C\)
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evaluate the integral. int t ^ { 5 } ( 2 + t ^ { 6 } ) ^ { 5 } d t int …
\(\frac{665}{36}\)
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find the indefinite integral and check the result by differentiating. $…
\( e^{4x}+C \)
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question 3 1 pts the term \derived demand\ refers to the demand for fin…
- **Question 3**: the demand for a factor of production that is derived from the demand for the good the factor produces. - **Question 4**: an increase in the demand for orthodont…
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find the particular antiderivative of the following derivative that sat…
\(R=-\frac{45}{t^{3}}+54\)
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evaluate the following indefinite integral. int x ^ { 10 } d x int x ^ …
$\frac{x^{11}}{11}+C$
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webwork 4 - topics 8 - 9: problem 5 (1 point) consider the function ( f…
\(A=\frac{3}{4}\)
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determine the integral by making the appropriate substitution. \\( \\in…
\(\frac{1}{8}\ln(3 + 2e^{4x})+C\)
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find the indefinite integral and check the result by differentiating. i…
\(\frac{5x^{4}}{4}+\frac{4x^{3}}{3}+C\)
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(1 point) a rectangular storage container with an open top is to have a…
Width: \(4\)m Length: \(8\)m Height: \(3\)m Cost: \(\$3456\)
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webwork / f2025math265 / webwork 4 - topics 8 - 9 / 3 previous problem …
\(-15,15\)
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use substitution to find the indefinite integral. int p ( p + 6 ) ^ { 5…
\(\frac{(p + 6)^{7}}{7}-(p + 6)^{6}+C\)
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what is the main drawback of a sole proprietorship? they require a part…
They have unlimited personal liability
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webwork / f2025math265 / webwork 4 - topics 8 - 9 / 2 previous problem …
The absolute minimum value is \(2e^{-14}\) which is attained at \(x = 2\). The absolute maximum value is \(\frac{1}{7e}\) which is attained at \(x=\frac{1}{7}\)
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find the indefinite integral. int \frac { x } { 2 + 5 x ^ { 2 } } d x i…
\(\frac{1}{10}\ln(2 + 5x^{2})+C\)
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step 1 remember that it is not true that if ( f ) and ( g ) are antider…
\(6x^{\frac{3}{2}}+2x^{\frac{5}{2}}\)
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remember that it is not true that if f and g are antiderivatives of f a…
\(9x^{1/2}+5x^{3/2}\)
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a particle is moving with the given data. find the position of the part…
\(s(t)=\frac{t^{4}}{12}-\frac{2t^{3}}{3}+\frac{5t^{2}}{2}+\frac{217t}{12}\)
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find a function f such that f(x) = 5x³ and the line 135x + y = 0 is tan…
\(f(x)=\frac{5}{4}x^{4}+\frac{1215}{4}\)