Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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given the equation ( y = 6 sin(4(x + 2)) + 3 ) the amplitude is: the pe…
Amplitude: \(6\) Period: \(\frac{\pi}{2}\) Horizontal shift: \(2\) units to the left Midline: \(y = 3\)
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given the equation ( y = 2sinleft(\frac{5pi}{3}x+\frac{20pi}{3} ight)+5…
The amplitude is \(2\). The period is \(1.2\). The horizontal shift is \(4\) units to the left. The midline is \(y = 5\).
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solve 7 sin(5x) = 2 for the two smallest positive solutions a and b, wi…
\(A = 0.06\), \(B = 0.57\)
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find all solutions to 2 sin(θ) = -1 on the interval 0 ≤ θ < 2πθ =give y…
\(\frac{7\pi}{6},\frac{11\pi}{6}\)
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if $\\theta=\\frac{7\\pi}{6}$, then find exact values for the following…
\(\sec(\frac{7\pi}{6})=-\frac{2\sqrt{3}}{3}\) \(\csc(\frac{7\pi}{6})=-2\) \(\tan(\frac{7\pi}{6})=\frac{\sqrt{3}}{3}\) \(\cot(\frac{7\pi}{6})=\sqrt{3}\)
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if $\\theta = \\frac{-1\\pi}{3}$, then $\\sin(\\theta) = $ $\\cos(\\the…
\(\sin(\theta)=-\frac{\sqrt{3}}{2}\), \(\cos(\theta)=\frac{1}{2}\)
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without using a calculator, compute the sine and cosine of $\\frac{3\\p…
Reference angle: \(\frac{\pi}{4}\) radians. Quadrant: \(2\) \(\sin(\frac{3\pi}{4})=\frac{\sqrt{2}}{2}\) \(\cos(\frac{3\pi}{4})=-\frac{\sqrt{2}}{2}\)
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friendships generally begin with friendly relations. working out rules …
For the first question: role - limited interaction. For the second question: stabilized friendship.
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in exercises 11 - 14, find the solution of the differential equation ( …
\(y = 100e^{1.5t}\)
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10. \\( \\frac { d y } { d u } = 4 ( \\sin u ) ^ { 3 } ( \\cos u ) \\)
\(y=\sin^{4}u + C\)
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31. $\\frac{dy}{dx}=y + 2$, $y(0)=2$
\(y = 4e^{x}-2\)
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the supreme courts decisions in griswold v. connecticut and roe v. wade…
limited privacy to the control of the body and of family life.
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if a person has a right that is stated in the constitution, that person…
other rights that are not mentioned.
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based on this table, which generalization can be made about constitutio…
C. They play an important role in expanding participation in the democratic process.
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the graph of a periodic function f is shown below. a. what is the perio…
a. The period is \(\pi\). b. The minimum value is \(-1\). c. The maximum value is \(5\). d. The mid - line is \(y = 2\). e. The amplitude is \(3\). f. The function formula is \(f(…
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why is careful planning essential for organizing and running effective …
To achieve successful execution and desired outcomes.
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a what is the period of f? b what is the midline for f? enter a mathema…
a. \(2\) b. \(y=-1\) c. \(2\) d. \(f(\theta)=2\sin(\pi\theta+\pi)-1\)
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this excerpt is from a play co - written by zora neale hurston, a promi…
A. It used various art forms to accurately depict the African American experience in America.
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express the following sum in sigma notation. use 1 as the lower limit o…
\(\sum_{k = 1}^{5}4k\)
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what is tan 2π?
$0$
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what is $\\sin(-\\frac{3\\pi}{4})$?
\(-\frac{\sqrt{2}}{2}\), so the number in the green box is \(2\) and the number in the white box is \(2\).
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select the correct answer. what was the reason for the decline of googl…
B. The platform had a higher rate of user privacy violations.
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select the correct answer which of the following are key features of so…
C. Real - time communication and information sharing and audience engagement; D. Community building, self - expression, and content creation
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select the correct answer. how do personal networking services facilita…
C. By enabling users to find mentors and build relationships within their industry
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find the first and second derivatives of the given function. f(x)=e^{x}…
\(f^{\prime\prime}(x)=3e^{x}(3x^{2}+22x + 32)\)
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select the correct answer. which of the following is a key feature of s…
C. It allows businesses to engage with their audience in real time
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select the correct answer. how can participating in professional - netw…
B. By enabling users to connect with industry professionals, share their achievements, and access job opportunities that match their skills
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select the correct answer. in what way did facebook play a significant …
A. By creating a platform that encourages user interaction and sharing of content
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select the correct answer. which of the following statements reflect a …
A. Online interactions can sometime lead to misinformation and cyberbullying
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which of the following is true of mixed media? a. mixed media is the us…
D. One form of mixed media was commonly used to create illuminated manuscripts.
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write the sum without sigma notation. then evaluate. $$sum _ { k = 1 } …
\(-3\)
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the function f is given by the graph below. step 2 of 2: determine the …
\(-4,1\)
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the function f is given by the graph below.step 1 of 2: use the graph t…
Local maxima: \((0,0)\), Local minima: \((2, - 1)\)
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the function f is given by the graph below. step 2 of 2: determine the …
\(0\)
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determine if the function below is continuous. a. continuous b. both co…
D. not continuous
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the function f is given by the graph below. step 1 of 2 : use the graph…
Local maximum at \(x = 1\)
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what is the average rate of change of ( f(x) ) from ( x_1 = 6 ) to ( x_…
\(0.28\)
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consider the graph of $f(x)$. what is the average rate of change of $f(…
\(\frac{6}{7}\)
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find the open interval(s) where the following function is increasing, d…
Increasing on one interval and Decreasing on another.
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determine if the function below is continuous. a. not continuous b. con…
A. not continuous
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on which of the following intervals is ( j(x) ) increasing? ( -1 < x < …
\(-1 < x < 1\)
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use the graph to determine a. open intervals on which the function is i…
\((-\infty,-1),(0,\infty)\)
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use the graph to determine (a) open intervals on which the function is …
(a) A. The function is increasing on the interval(s) \((0,\infty)\) (b) B. The function is never decreasing (c) B. The function is never constant
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find the exact value of the expression. do not use a calculator. \\( \\…
\(1\)
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possible issue that might arise between collectivists and individuals r…
C. All individuals should give up their personal freedoms for the good of society.
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question 12 of 12 step 1 of 2 no time limit consider the following func…
Horizontal Shift: Right Vertical Stretch/Compress: None x - Axis Reflection: No y - Axis Reflection: No Vertical Shift: None
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use the graph to determine a. open intervals on which the function is i…
a. B. The function is never increasing. b. A. The function is decreasing on the interval(s) \((-5,6)\) c. B. The function is never constant.
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use the graph to determine a. open intervals on which the function is i…
B. The function is never increasing.
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find the exact value of the expression. do not use a calculator. \\( \\…
\(0\)
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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 \((-2,3)\) c. The function is constant on the interval \((3,\infty)\)
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write the sum without sigma notation. then evaluate. sum _ { k = 2 } ^ …
\(1\)
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what is the average rate of change of the function ( b(x)=5 x^{2}+3 ) o…
40
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question 2 of 12 step 1 of 1 no time limit graph the following function…
To graph \(g(x)=-2(x - 2)^{2}-3\): - Plot the vertex at the point \((2,-3)\). - Since the parabola is reflected about the \(x\) - axis (because \(a=-2<0\)) and vertically stretche…
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express the given sum or difference as a product of sines and/or cosine…
\(2\cos6\theta\sin3\theta\)
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this graph shows a function. for which intervals is the function decrea…
\(0 < x<3\) and \(5 < x<8\)
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find the exact value of the expression \\( \\cos 255 ^ { \\circ } - \\c…
$\frac{\sqrt{2}}{2}$
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given that $\\cos\\theta=-\\frac{\\sqrt{7}}{3},\\frac{\\pi}{2}<\\theta<…
\(\sqrt{\frac{3 - \sqrt{7}}{6}}\)
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given that \\( \\cos \\theta = - \\frac { \\sqrt { 7 } } { 3 }, \\frac …
\(\frac{\sqrt{21}+\sqrt{3}}{6}\)
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if int_{c} mathbf{f} cdot d mathbf{r}=int_{c}(-3 x+2 y^{3}) d x+(x^{3} …
\(\mathbf{F}=\langle -3x + 2y^{3},x^{3}y angle\)
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if ( sin \theta=\frac{5}{6}, 0<\theta<\frac{pi}{2} ), find the exact va…
$\frac{\sqrt{18 + 3\sqrt{11}}}{6}$
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if \\( \\sin \\theta = \\frac { 5 } { 6 }, 0 < \\theta < \\frac { \\pi …
\(\frac{5\sqrt{11}}{18}\)
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solve the equation. \\( \\sin \\theta + \\sqrt { 3 } \\cos \\theta = 1 …
\(\theta=\frac{\pi}{2},\frac{11\pi}{6}\)
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each year, lindsey goes in for an annual physical. as part of the physi…
Between two annual physicals, Lindsey grew taller.
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the speed of a hockey puck x seconds after a hockey stick strikes it is…
Exactly 0.5 seconds after being struck, the puck is moving 150 feet per second.
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find the exact value of each of the following under the given condition…
\(-\frac{12\sqrt{3}+5}{26}\)
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which of these were included in the salt ii (strategic arms limitation …
a limit on the launchers for intercontinental ballistic missiles, a limit on the number of missile launch sites around the globe
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find the exact value of the expression. \\( \\sin \\left(25^{\\circ}\ i…
\(\frac{1}{2}\)
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find the exact value of the following expression. \\( \\sin \\frac { 17…
\(-\frac{\sqrt{6}+\sqrt{2}}{4}\)
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find the exact value of the following expression. \\( \\sin \\frac { \\…
\(\frac{\sqrt{6}-\sqrt{2}}{4}\)
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the isotope of plutonium $^{238}\text{pu}$ is used to make thermoelectr…
\(Q(t) = 3e^{-0.00792t}\)
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find the exact value of the expression. cos 75° cos 75° = (simplify you…
$\frac{\sqrt{6}-\sqrt{2}}{4}$
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independent practice / application 1. $5000 is invested at 3% interest,…
1. \(\$7166.5\) 2. The bank with \(4\%\) compounded monthly yields a higher amount. 3. For weekly compounding: \(\$16487\); for continuous compounding: \(\$16487\)
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suppose that $11,000 is invested in a bond fund and the account grows t…
It will take the investment approximately $10.0$ yr to reach $\$19,000$ if the rate of return continues.
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suppose that $11,000 is invested in a bond fund and the account grows t…
\( 5.2 \)
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example: find the amount in an account with $2,000 invested at 5% inter…
1. \(A=\$1619.83\) 2. \(A=\$1037.25\)
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solve the equation for exact solutions over the interval 0,2π). cot²x +…
B. The solution is the empty set \(\varnothing\).
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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) \((1,2)\)
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how did the posting of the \twelve theses\ by students reflect nazi pol…
by supporting only German professors
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the council of canadians with disabilities vision statement includes \c…
Social inclusion
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how does a communist system of government differ from a democracy? in a…
In a communist system, a single political party controls the government. In a democracy, the people can elect officials from different parties.
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the secret service 1 in the 1860s, the united states government faced a…
Secret Service agents became the president's constant bodyguards. They protected President Wilson and President Roosevelt heroically. After President McKinley was assassinated, th…
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the graph of a function f is given. use the graph to find each of the f…
A. The function \(f\) has (a) relative maxima(maximum) at \(-1\) and the relative maxima(maximum) are(is) \(3\)
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with aging, body fat increases and muscle mass declines. the graph to t…
C. \((25,45)\)
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a company manages a mixed - income residential building in which more t…
Classism
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find and simplify the difference quotient \\( \\frac { f ( x + h ) - f …
\(-4x-2h - 1\)
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find the exact value of each of the remaining trigonometric functions o…
$\cos\theta=\frac{1}{6}$, $\tan\theta=\sqrt{35}$
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find all vertical asymptotes of the following function. $$ f ( x ) = \\…
\(x = 6\)
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watch the video and then solve the problem given below. click here to w…
\(90\)
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what is the range of the function y = 2e^{x}-1? o all real numbers less…
all real numbers greater than \(-1\)
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use the graph of ( y = f(x) ) to graph the function ( g(x)=f(x + 3) ). …
C.
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find the reference angle, the quadrant of the terminal side, and the si…
Reference angle: \(60^{\circ}\) Quadrant: Third \(\sin(240^{\circ})=-\frac{\sqrt{3}}{2}\) \(\cos(240^{\circ})=-\frac{1}{2}\)
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question 4 of 5 how can you create a healthy balance between online and…
D. All of the above
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question 6 of 10 which types of problems might appear in the college - …
A. Functions and coordinate geometry
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unit 4 test possible points: 1.54 becky has car insurance and is in an …
\(11000\) (corresponds to the option \(\$11,000\))
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find the average rate of change of the function graphed over the interv…
The average rate of change of the graphed function is \(0.21\), and the average rate of change of \(y = 4\log x+18\) is \(0.07\), so the average rate of change of the graphed func…
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which sentence gives an example of a simile? select the two correct ans…
- When Andre picked up the calculus textbook, it felt like a 600 - page slab of concrete. - After the rain, the beach was as hot and humid as the inside of a pressure cooker.
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1. the function ( m(x) ) represents a storage account balance ( m ) (me…
a) Alex is driving the fastest between \(t = 0\) and \(t=2\) hours. Because the average speed (change in distance over change in time) is the highest in this interval. b) It means…
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the domain of f consists of the five real numbers 1, 2, 3, 4, and 5. th…
(i) \(x\approx4.48\) (ii) \(\lim_{x ightarrow+\infty}g(x)=+\infty\)
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a phone plan has a limit of $25 that can be spent on text messages. the…
$t\leq400$
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on january 5th your account was charged $350.00 for an overdraft fee. w…
B. You spent more than what was in your account.