Calculus
Limits, derivatives, optimization, and behavior of functions.
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converting radians to degrees score:2/5 penalty:0.25 off question conve…
315.2
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convert the angle -4 radians to degrees, rounding to the nearest 10th.
\( -229.2^\circ \)
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convert the angle -2 radians to degrees, rounding to the nearest 10th.
-114.6
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what is the main goal of the war powers resolution of 1973? this questi…
To limit the President’s ability to deploy troops without approval
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h(x) = 1.25x - 3
To analyze the function \( h(x) = 1.25x - 3 \), we can follow these steps: ### Step 1: Identify the type of function The function \( h(x) = 1.25x - 3 \) is a linear function in th…
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b) $f(x) = 3 - \\frac{1}{2}x$
To graph \( f(x)=3 - \frac{1}{2}x \): 1. Plot the y - intercept \( (0, 3) \) (since when \( x = 0 \), \( f(0)=3 \)). 2. Plot the x - intercept \( (6, 0) \) (found by solving \( 0 …
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which statement justifies a zero between x = 1 and x = 2 given the tabl…
C) \( f(1) \) is positive and \( f(2) \) is negative.
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select the graph of $f(x) = 2x^4 + x^3 - 3x^2 - 2$. a) graph b) graph c…
B. La gráfica que corta al eje \( y \) en \( (0, -2) \) y tiene ramas ascendentes.
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this question has two parts. first, answer part a. then, answer part b.…
C) \( x = -2 \) and \( x = -1 \) F) \( x = 1 \) and \( x = 2 \)
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lesson activity practice/drill 1. simplify the following numerical expr…
\( 10 \) ### 2. \( 7 - (2 \times 3)^2 \)
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evaluate the following. 6 + 4 × 6 + 21 ÷ 3
37
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multiply. \\frac{2}{9} \\times 45
10
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solve: -4(-1)(-2)(3)
$-24$
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problem 1. differentiate the following functions. (a) 4pts. $f(x) = \\f…
\( \frac{2x\sin(x)+x^2\cos(x)+x^4\cos(x)}{(1 + x^2)^2} \) (or factored form as above) ### Part (b)
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problem 1. differentiate the following functions. (a) 4pts. $f(x) = \\f…
\( f'(x)=\frac{2x\sin(x)+x^{2}\cos(x)+x^{4}\cos(x)}{(1 + x^{2})^{2}} \) (or simplified form) ### Part (b)
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which of the following is the graph for this piecewise defined function…
The second graph (the middle one)
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find the horizontal and vertical asymptotes for the function. $f(x) = \…
Vertical asymptote: \(x = 8\) Horizontal asymptote: \(y = -4\)
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in the $xy$-plane, the point $(0, -2)$ is on the curve $c$. if $\\frac{…
D. At the point \((0, -2)\), the curve \(C\) has a relative maximum because \(\frac{dy}{dx} = 0\) and \(\frac{d^{2}y}{dx^{2}}<0\).
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graph the following system of inequalities on the coordinate plane and …
To graph the system: 1. For \( y>2x - 3 \), draw a dashed line with slope \( 2 \) and y - intercept \( -3 \), shade above it. 2. For \( y\leq -x + 4 \), draw a solid line with slo…
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the point $(-3, 4)$ is on the curve defined by $x^2y^3 = 576$. which of…
D. \(\frac{dy}{dx}>0\) and \(\frac{d^{2}y}{dx^{2}}>0\)
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3. why is a thesis statement with a narrow, clearly defined focus bette…
A. A focused thesis allows the writer to research examples more in-depth to fully support the limited topic.
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9. $-\frac{1}{4}(-8.6)$
\(2.15\)
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solve this system of equations by graphing. first graph the equations, …
The solution is \((-5, 5)\)
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7. $-\frac{1}{6}(2.4)$
-0.4
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one group less; 10 × 34 = 340; 9 × 34 = ?
$9 \times 34 = 306$
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10 × 34 = ?
340
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10 × 41 = ?
410
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describe the values of c for which the equation has no solution. explai…
The equation has no solution when $c eq 5$. --- ### Problem 8
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solve the following system of equations graphically on the set of axes …
The solution is \(x=-6\), \(y = 6\) (the point \((-6,6)\) is the intersection of the two lines).
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32 theo has a disability policy with an accidental death rider for a su…
c. The time limit is 90 days from the accident and death must be attributable to the accident.
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6. $2.4 cdot 2.8 div 2 cdot \frac{1}{4}$
$0.84$
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read the excerpt from hammurabis code, then answer the question. \if an…
D. right to present evidence
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consider the given graph which statement best describes section b of th…
B. nonlinear and decreasing
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describe how the graph of y = sin x can be transformed into the graph o…
Compress vertically
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describe how the graph of y = sin x can be transformed into the graph o…
A. Compress horizontally
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describe how the graph of y = sin x can be transformed into the graph o…
B. Compress horizontally
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describe how the graph of y = sin x can be transformed into the graph o…
A. Compress vertically
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¿cuál es el alcance de? $y = \\log_{8} x$? todos los números reales tod…
todos los números reales
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¿cuál afirmación es verdadera? $y = \\log_{10} x$ no es una función log…
$y = \log_1 x$ no es una función logarítmica porque la base es igual a 1.
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¿cuál de las siguientes es la inversa de? $y = 3^x$? $y = \\log_3 x$ $y…
$y = \log_{3} x$
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18 multiple choice 1 point which function does not have the set of all …
C. $f(x)=\frac{x+1}{x+3}$
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cuáles son el dominio y el rango de $f(x)=\\log(x + 6)-4$? dominio: $x …
dominio: $x > -6$; rango: todos los números reales
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fill in the blank 1 point 17 a function is shown below. $h(x) = 4x^3 - …
2.25
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¿cuál de las siguientes es una función logarítmica? $y = (0.25)^x$ $y =…
$y = \log_{0.25}x$
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15 fill in the blank 1 point a function is shown below. $h(x)=\\begin{c…
11
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¿cuál de las siguientes es la inversa de? $y = 6^x$? $y = \\log_{6} x$ …
$y = \log_{6} x$
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¿cuál de las siguientes es una función logarítmica? $y = 3^x$ $y = \\lo…
$y = \log_3 x$
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20) which is the inverse of $y = \\log_{5}(x + 1)$? a. $y = \\log_{x + …
D. $y = 5^x - 1$
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5 2 ÷ \\frac{4}{9} =
$\frac{9}{2}$ (or $4\frac{1}{2}$)
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÷ 2/3 = 0 5 2 ÷ 4/9
s: For the first problem (solving \( x\div\frac{2}{3}=6 \)): \( \boldsymbol{4} \) For the second problem (\( 2\div\frac{4}{9} \)): \( \boldsymbol{\frac{9}{2}} \) (or \( \boldsymbo…
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multiple choice 1 point 30) which of the following is the inverse of ( …
A. $f^{-1}(x)=\log_{5}\frac{x}{3}$
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multiple choice 1 point 29) which describes the degree and leading coef…
C. even degree, positive leading coefficient
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25 multiple choice 1 point 25) solve ( x^3 - 9x^2 - 36x > 0 ). a. ( (-3…
D. $(-3,0) \cup (12, \infty)$
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22) let y = f(x) = \\begin{cases} 1 - 5x, & x < -5 \\\\ 3 - x^3, & -5 \…
B. $f(-2)=1$
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multiple choice 1 point 20) which is the inverse of $y = \\log_5(x + 1)…
D. $y = 5^x - 1$
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multiple choice 1 point 19) what are all the vertical asymptotes of the…
A. $x = - 3, x = 5$
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a ball is thrown from an initial height of 6 feet with an initial upwar…
$t \approx 0.78$ seconds or $t \approx 1.28$ seconds
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9 ÷ \\frac{4}{5}
$\frac{45}{4}$ (or $11\frac{1}{4}$)
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divide. show your work for problems 1-6: 1 ( 9 div \frac{4}{5} ) 2 ( 6 …
\( \frac{45}{4} \) (or \( 11\frac{1}{4} \)) ### Problem 2: \( 6 \div \frac{2}{5} \)
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find the range of the quadratic function. y = 3x² - 12x + 13 write your…
$y \geq 1$
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worksheet 7.1 solve each system by graphing. 1) ( x = 4 ) ( y = -\frac{…
The solution of the system \( \begin{cases}x = 4\\y=-\frac{1}{2}x + 3\end{cases} \) is \( (4,1) \) ### Problem 2:
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find the inverse function. $f(x) = -12\\frac{1}{x}$ $f^{-1}(x) = ?\\fra…
The first blank (the coefficient) is \(-12\) and the second blank (the denominator) is \(x\). So \( f^{-1}(x)=-12\frac{1}{x} \), so the first box is \(-12\) and the second box is …
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3 y = x - 3
The line $y = x - 3$ is a straight line with a slope of 1, y-intercept at $(0, -3)$, passing through points such as $(1, -2)$, $(2, -1)$, and $(-1, -4)$. When graphed, it rises fr…
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match the passages from the declaration of independence with the social…
C. Citizens are obligated to abolish tyrannical governments. ### 2.032)
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write the expression so the radicand has no perfect squares other than …
\(-105x^{6}\sqrt{2x}\)
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a model rocket is launched with an initial upward velocity of 188 ft/s.…
$t = 0.51$ seconds or $t = 11.24$ seconds
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5. how long does it take, in seconds, for the ball to drop? $(12^2 + 6^…
60
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a ball is thrown from a height of 79 meters with an initial downward ve…
3.42 seconds
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which answer is not a reason great britain took renewed interest in its…
A. Britain feared the colonists would revolt against the British Crown. ### Question 2:
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write the expression so the radicand has no perfect squares other than …
\(25\sqrt{3}\)
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2.01) the purpose of the magna carta was to ___. a. provide colonists w…
D. limit the power of the monarchy ### 2.02
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simplify the square root. assume all variables represent positive numbe…
\(2\sqrt{7}\)
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7 mark for review consider the curve defined by $x^2 = e^{x - y}$ for $…
C. 2
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2. what is the weight(in pounds) of the current ball that is dropped ea…
The weight of the current ball is 11875 pounds.
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a (20 ÷ 4) · -11 = e (28 - -10) - 7 = i (-13 + -12) (-4) = l (4 · -6) ÷…
A: $\boldsymbol{-55}$ E: $\boldsymbol{31}$ I: $\boldsymbol{100}$ L: $\boldsymbol{3}$
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h (-3 - 4) ÷ 7 =
$-1$
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1. how many times will the ball have dropped in times square since nye …
116
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find the phase shift of the trigonometric function. $f(x) = \\sin(x + \…
\(-\pi\)
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the math behind nye in times square each year on new year’s eve thousan…
116 ### Problem 2:
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find the vertical shift of the trigonometric function. f(x) = 3 sin(x) …
\( -1 \)
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find the amplitude of the trigonometric function. f(x) = 3 cos(x) - 1 s…
3
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describe and correct the error a student made in multiplying $sqrt3{24}…
C. The error occurs in the third line of the student’s work because the student pulled out two factors of 2 and two factors of 3 from the radicand. The correct final answer is \(6…
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find the period of the sinusoidal function. simplify any fractions. per…
\(\frac{2\pi}{3}\)
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example 3 (page 110) find the slope of each line. 7. 8. 9. example 4 (p…
The slope of the line passing through \((3, 2)\) and \((5, 6)\) is \(2\).
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graph $g(x) = -2|x - 5| - 4$.
To graph \( g(x) = -2|x - 5| - 4 \): 1. **Identify the vertex**: From \( y = a|x - h| + k \), \( h = 5 \), \( k = -4 \), so vertex is \( (5, -4) \). 2. **Determine direction/stret…
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solving problems involving multiple percents continued 6 damon buys lum…
$\$467.04$ --- ### Problema 7
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6.2) identify two reasons the british parliament wanted to control the …
- to monopolize the colonial trade and increase the revenue for its own country - to keep other foreign countries from taking over the colonies with their raw materials ### 6.3
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an aircraft factory manufactures airplane engines. the unit cost c (the…
5858
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find the range of the quadratic function. y = -3x² + 30x - 71 write you…
$y \leq 4$
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function g can be thought of as a translated (shifted) version of ( f(x…
D. \( g(x)=|x - 7|+4 \)
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find the range of the quadratic function. $y = 2x^2 + 12x + 17$ write y…
$y\geq -1$
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$\\sqrt{72}$
$6\sqrt{2}$ (or approximately 8.485 if a decimal value is needed)
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example what is the decimal form of $-\frac{11}{8}$? you can use long d…
\(-\frac{11}{8}\) es menor que \(-1.37\) (es decir, \(-\frac{11}{8} < -1.37\))
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match the definitions with the terms. 5.1) ______ a legislative branch …
A. bicameral ### 5.2)
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adding negative numbers add. -8 + 3 = related content adding negative n…
\(-5\)
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$\\int_{3}^{4} x^2 + 4x \\, dx$
\(\frac{79}{3}\)
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read the excerpt from amy tans essay \mother tongue.\ i know this for a…
"when I was growing up"
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add. \\begin{array}{r} 41 \\\\ 3,698 \\\\ +\\quad 691 \\\\ \\hline \\en…
4430
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b. $2\\div \\frac{1}{4}=\\_\\_\\_\\_\\_\\_$ there are \\_\\_\\_\\_ four…
\(2 \div \frac{1}{4} = \boldsymbol{8}\) Hay \(\boldsymbol{4}\) cuartos en 1 entero. Hay \(\boldsymbol{8}\) cuartos en 2 enteros. Si 2 es \(\frac{1}{4}\), el entero es \(\boldsymbo…
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multiply: $(4 + 5i)(3 - 2i)$.\ \ a. $-22 - 7i$\ \ b. $22 + 7i$\ \ c. $-…
B. $22 + 7i$