Calculus
Limits, derivatives, optimization, and behavior of functions.
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given the function $f(x) = \\begin{cases} -5x^2 + 8 & x < 1 \\ -10x^2 +…
$f(-2) = -12$ $f(1) = -2$ $f(2) = -32$
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given the function $f(x) = \\begin{cases} 9x + 5 & x < 0 \\\\ 9x + 10 &…
$f(-1) = -4$ $f(0) = 10$ $f(2) = 28$
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the graph of an exponential function is shown in the figure below. the …
(a) range: $y > -3$ (b) domain: All reals
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find the slope between the two points: (-2, 5) and (4, 8) find the slop…
**"BOO LAGOON!"** (Matched values: 5, 0, 1, $\frac{1}{2}$, 23, 3, -6, 0 correspond to B, O, O, L, A, G, O, O/N respectively forming the phrase) ### Individual Slope Answers: 1. Be…
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question 3 if ( 2x^2 + 3x + xy = 2 ) and ( y(2) = -6 ), find ( y(2) ) b…
$\frac{-5}{2}$ --- ### Question 4
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the function ( f ) is graphed below. determine the intervals on which (…
The function is increasing on the interval $-6 < x < -2$ The function is decreasing on the interval $-2 < x < 1$ The function is increasing on the interval $1 < x < 6$
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question 4 (1 point) add 12. 78 + 195 + 692 = 13. 675 + 834 + 297 = 14.…
c. 12. 965 13. 1,806 14. 4,450 15. 5,907 16. 8,551 17. 11,194
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12. 78 + 195 + 692 =13. 675 + 834 + 297 =14. 965 + 1,055 + 2,430 =15. 7…
d. 12. 965 13. 1,806 14. 4,450 15. 5,907 16. 8,551 17. 11,194
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consider the equation and the given point.\\( f(x) = \\frac{x}{x + 6}, …
$y=6x+49$
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consider the following. (the graph is called a witch of agnesi.) find t…
$y = -\frac{4}{9}x + \frac{17}{9}$
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use the product rule to find the derivative of the function.\\( h(t) = …
$h'(t)=\frac{6 - 5t^2}{2\sqrt{t}}$ (or equivalent form $\frac{1}{2}t^{-\frac{1}{2}}(6 - t^2) - 2t^{\frac{3}{2}}$)
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find the sine, cosine, and tangent of ∠w. simplify your answers and wri…
\( \sin(W) = \frac{77}{85} \) \( \cos(W) = \frac{36}{85} \) \( \tan(W) = \frac{77}{36} \)
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what is 683 - 432? find the difference. now, subtract hundreds from hun…
The difference between 683 and 432 is 251.
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use the given information to find ( f(2) ). ( g(2) = 4 ) and ( g(2) = -…
$f'(2) = -10$ $f'(3) = -36$
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683= 600 + 80 + 3 -432= 400 + 30 + 2 ? + ? + ?
\(200 + 50 + 1\)
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results for this submission 1 of the answers is not correct. let $f(x) …
$\lim_{x\to2^-}f(x)=2$ $\lim_{x\to2^+}f(x)=1$ $\lim_{x\to2}f(x)=$ dne
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consider the equation and the given point. $f(x) = (x^3 + 7x - 1)(x - 2…
$y=-3x-4$ Note: Part (b) requires a graphing utility, which cannot be completed in this text format, but the equation for the tangent line needed for graphing is provided above.
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which of the following best states the constitutional principle of limi…
Government can only do what the people give it authority to do.
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consider the following. (the graph is called a witch of agnesi.) find t…
$f'(x)=\frac{-18x}{(x^2+5)^2}$ $f'(2)=-\frac{4}{9}$ $\text{slope}=-\frac{4}{9}$ $y=-\frac{4}{9}x+\frac{17}{9}$
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consider the functions below $f(x) = 8x^2 + x + 3$ $g(x) = 4^x - 1$ $h(…
A. As \( x \) approaches infinity, the value of \( g(x) \) eventually exceeds the values of both \( f(x) \) and \( h(x) \)
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an idea from the english bill of rights that influenced the declaration…
the power of kings and queens is limited.
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select the correct answer. which statement is correct with respect to (…
D. The V - shaped graph opens downward, and its vertex lies at (1, 12)
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find $f(x)$ and $f(c)$. function: $f(x) = \\frac{x^2 - 8}{x - 3}$, valu…
$f'(x)=\frac{x^2-6x+8}{(x-3)^2}$ $f'(c)=\frac{3}{4}$
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find ( f(x) ) and ( f(c) ). function: ( f(x) = (3x^2 - 4x)(8x + 7) ) va…
66
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which of the following best states an interpretation of the second amen…
There should be no limits on owning and using guns.
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use the product rule to find the derivative of the function.\\( h(t) = …
$\boldsymbol{h'(t) = \frac{6 - 5t^2}{2\sqrt{t}}}$ (or equivalent form $\boldsymbol{\frac{1}{2}t^{-\frac{1}{2}}(6 - 5t^2)}$)
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q# 7 the graph of a function ( f ) is shown. find ( f(4) ). ( f(4) = sq…
$-1$
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suppose $f(x) = \\frac{x^3 - 7}{10}$ and $g(x) = \\sqrt{x + 1}$. calcul…
2
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add 12. 78 + 195 + 692 = 13. 675 + 834 + 297 = 14. 965 + 1,055 + 2,430 …
\( 965 \) ### Problem 13: \( 675 + 834 + 297 \)
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let $f(x) = sqrt5{3x - 1}$ and let $g(x)$ be a one - to - one function …
4
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which constitutional principle prohibits an individual state from decla…
federalism
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write the equation of the line in fully simplified slope - intercept fo…
$y=\frac{3}{2}x - 3$
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find the domain of $f(x) = \\ln(2 - x - x^2)$. (hint: remember that the…
\((-2, 1)\)
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find a formula for the slope m of the tangent line to $f(x)=x^2 + 6x$ a…
$\frac{1}{3}$
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write the equation of the line in fully simplified slope - intercept fo…
\(y = \frac{5}{2}x - 1\)
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find the slope of the tangent line to the graph of the function at the …
1. $-3$ 2. $2a + 6$
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estimate the slope of the graph at the points ((x_1, y_1)) and ((x_2, y…
slope at $(x_1, y_1)$: $0$ slope at $(x_2, y_2)$: $1$
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consider the function ( f(x) = -x^2 - 3x + 8 ). (a) what is the equatio…
(a) $y = x + 8$ (b) $y = -3x + 7$ (c) The first (left-hand) WebAssign Plot
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find the inverse $f^{-1}(x)$ of $f(x)$ restricted to the domain $x \\ge…
\(f^{-1}(x)=\sqrt{\frac{1 - 5x^2}{x^2}}\) (corresponding to the second option: \(f^{-1}(x)=\sqrt{\frac{1 - 5x^2}{x^2}}\))
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let $f(x)=\frac{x}{x + 1}$. find the inverse of $f(x)$ and determine th…
\( f^{-1}(x)=\frac{x}{1 - x} \), range of \( f:(-\infty,1)\cup(1,\infty) \) (the last option: \( f^{-1}(x)=\frac{x}{1 - x} \),range of \( f:(-\infty,1)\cup(1,\infty) \))
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what is \\(\\frac{2}{3} \\times 6\\)?
4
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what is $\frac{1}{9} \times 9$?
1 (Whole number)
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what is $5 \\times \\frac{1}{5}$? whole number fraction mixed number su…
1, and this is a whole number.
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what is $9 \\times \\frac{5}{9}$?
5 (Whole number)
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what was the federalists argument for not adding a separate bill of rig…
It was unnecessary because the new government had limited power.
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graph the absolute value equation that represents the given situation, …
The points representing the horizontal distance \( s \) are \( s = 100 \) and \( s = 400 \). So we mark the points \( (100, -20) \) and \( (400, -20) \) on the graph (but since we…
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the function ( f ) is defined on the closed interval (-3,10) and is giv…
### Part a $g(10) = \frac{49\pi}{8} - 5$, $g(-3) = -5$ ### Part b $g'(-1) = 1$, $g''(-1) = 1$ ### Part c - Relative minimum at $x=0$: $g'(x)=f(x)$ changes from negative to positiv…
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why does the first amendment place limits on government power to restri…
A. to protect people and the country
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solve the following system of equations graphically on the set of axes …
The solution (intersection point) is $\boldsymbol{(-2, -5)}$. To plot the lines: 1. For $y=-\frac{3}{2}x-8$: plot $(0, -8)$ and $(-4, -2)$, then draw the line through them. 2. For…
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according to the federalist no. 51, what is the greatest challenge in c…
limiting the powers of the government
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what is the purpose of the ninth and tenth amendments? check all of the…
to limit the powers of the federal government to explain the rights that the states and the people have
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use the graph of the function to answer the question. is this function …
Yes, this function is one-to-one. It passes the Horizontal Line Test: no horizontal line intersects the graph more than once, meaning each y-value corresponds to exactly one x-val…
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use the following information to answer the next question. the graphs o…
a) 4 b) 0 c) 3
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use the following information to answer the next question the graph of …
The value for parameter $a$ is $\boldsymbol{-2}$ The value for parameter $b$ is $\boldsymbol{3}$ The value for parameter $h$ is $\boldsymbol{4}$ The value for parameter $k$ is $\b…
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1. for the polynomial function \\( p(x)=x^5 + x^4 - 11x^3 - 9x^2 + kx \…
3.0
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$\\int 2x\\left(x^{2}+5\ ight)^{3}dx$
\(\frac{(x^2 + 5)^{4}}{4}+C\)
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question 4 of 8 what is -3.4 + 2.3? -1.1 1.1 5.7 -5.7
-1.1 (corresponding to the option: -1.1)
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system of equations started: jan 21 at 10:34pm quiz instructions questi…
(2,5)
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question 1 of 8 type the correct answer in the box. use numbers instead…
\(-14\)
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remember to add the partial quotients to find the actual quotient. use …
1. $19$ 2. $42$ 3. $41$ 4. $23$ 5. $66$ 6. $34$ 7. $28$ 8. $11$
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multiple choice 4 points graph ( y = x - 1 ) and ( y = 3x + 1 ). how ma…
1. 1
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use the following information to answer the next question the following…
B. $f(x) = \frac{x-3}{(x-3)(x-2)} + 8$ --- ### Question 11
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table of values *plot on graph #1 first table: x values -1, 0, 1, 2; y …
1. Table for $Y=-2x+3$: | $x$ | $Y$ | |-----|-----| | -1 | 5 | | 0 | 3 | | 1 | 1 | | 2 | -1 | 2. Table for $Y=\frac{2}{5}x+1$: | $x$ | $Y$ | |-----|-----| | -2 | $0.2$ | | -1 | $0…
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graph $y = x - 1$ and $y = 3x + 1$. how many times do the two graphs in…
1
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after graphing $y = 3x$ and $y = 3(x - 1)$, what can be said about the …
They are parallel.
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graph the lines that represent the following system of linear equations…
The solution to the system of linear equations is the point \((-15, - 20)\). To graph the lines: - For \(2x + 1.5y=-60\) (or \(y =-\frac{4}{3}x - 40\)), plot the points \((0,-40)\…
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divide. 0.34 \\overline{)1.53} = \\square
4.5
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problem 1 suppose you wanted to graph the equation $y = -4x - 1$. a. de…
a. 1. Identify $m=-4$, $b=-1$ from $y=mx+b$. 2. Plot y-intercept $(0, -1)$. 3. Use slope to plot $(1, -5)$. 4. Draw line through both points. b. 1. Pick an unused $x$-value (e.g.,…
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to two decimal places, \\(\\sqrt{97}\\) must lie between \\(\\square\\)…
9.84 and 9.85
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to two decimal places, \\(\\sqrt{82}\\) must lie between 9.05 and 9.06 …
First dropdown: converge to a unique value (or similar approximation - related convergence phrase) Second dropdown: irrational
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a. round answer to 4 decimal places. \\(log_{13}(x^2 - 7x) = log_{13}(9…
If the equation is \(\log_{13}(x^{2}-7x)=\log_{13}(9 + x)\), the solutions are \(x = 9.0000\) or \(x=-1.0000\) (depending on the context, if we take the positive solution \(x = 9.…
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graph the following absolute value expression: $y = 3|-x|$ show your wo…
The graph is a V-shaped absolute value curve with vertex at $(0,0)$, passing through points $(-4,12)$, $(-2,6)$, $(2,6)$, $(4,12)$, opening upward.
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graph the following absolute value expression: $y = 3|-x|$ show your wo…
The graph is a V-shaped curve with vertex at $(0,0)$, passing through points like $(-2,6)$, $(2,6)$, $(-4,12)$, $(4,12)$, matching the provided grid's plotted shape. The simplifie…
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log(10 - 6x) = 2
$x=-15$
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it has been demonstrated that \\(sqrt{96}\\) is between 9.79 and 9.80. …
To solve this, we analyze the nature of \(\sqrt{96}\): ### Step 1: Recall the property of irrational numbers Irrational numbers are non - repeating and non - terminating decimals.…
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2. graph the linear inequality below. y < -5x - 4 4. graph the linear i…
Slope $m=-2$, y-intercept $b=3$. To graph: 1. Draw a solid line through $(0, 3)$ and $(1.5, 0)$. 2. Shade the region **below** this solid line.
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5-36. use multiple representations to create the inverse of $y = 2^x$. …
The inverse of \(y=2^x\) is \(y = \log_2 x\), and this inverse **is a function**.
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to one decimal place, \\(\\sqrt{96}\\) must lie between 9.7 and 9.8 bec…
9.79 and 9.80
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to two decimal places, \\(\\sqrt{96}\\) must lie between \\(\\square\\)…
\(9.7\) and \(9.8\)
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question 1 10 pts what is the slope of the line passing through the poi…
2
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online hw: section 1.2 average rates of change score: 1.75/13 answered:…
-2.0
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it has been demonstrated that \\(\\sqrt{53}\\) is between 7.28 and 7.29…
The first blank: never end; The second blank: irrational (or has a non - terminating, non - repeating decimal expansion)
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Question was provided via image upload.
\( 2\frac{5}{8}-1\frac{2}{4}=\frac{21}{8}-\frac{6}{4}=\frac{21}{8}-\frac{12}{8}=\frac{9}{8}=1\frac{1}{8} \) ### Problem 3: \( 5\frac{1}{9} - 3\frac{8}{18} \)
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5-34. write an equation for each function graphed below. a. b.
a. $\boldsymbol{y=\frac{2}{|x|}-4}$ b. $\boldsymbol{y=2^x - 3}$
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determine if the value of each expression is less than 5 or greater tha…
1. \(-\sqrt{5}(-2 - \sqrt{3})\): Greater Than 5 2. \(27^{1/3} - 4^{1/2}\): Less Than 5 3. \(\sqrt{\frac{120}{3}}\): Greater Than 5 4. \(\sqrt{6} \times \sqrt{4}\): Less Than 5
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details no additional details were added for this assignment. x | $f(x)…
$x=-4$ and $x=-3$
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add. -33 + (-26) = -37 + 29 =
$-33 + (-26) = -59$ $-37 + 29 = -8$
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between which two consecutive whole numbers does \\(\\sqrt{89}\\) lie? …
Since \(\sqrt{\boldsymbol{81}}=\boldsymbol{9}\) and \(\sqrt{\boldsymbol{100}}=\boldsymbol{10}\) it is known that \(\sqrt{89}\) is between \(\boldsymbol{9}\) and \(\boldsymbol{10}\…
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evaluate the following. 20 ÷ (-4) = -8 × (-2) =
$20 \div (-4) = -5$ $-8 \times (-2) = 16$
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1) compare the expressions below using <, >, = to create true compariso…
\(9.3 \times 1.1>9.3\)；\(6\times0.4 > 0.4\)；\(0.7\times0.2<0.8\)
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graph the functions $f(x) = -2x - 6$ and $g(x) = -2^x - 6$ on the same …
$\boldsymbol{x=1}$, $\boldsymbol{x=2}$
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subtract. -1 - 1 = 1 - 5 =
$-1 - 1 = -2$ $1 - 5 = -4$
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(\frac{2cdot6^{2}}{3 - 7})
$-18$
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8·9 - (2 + 4)^3
$-144$
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convert the following repeating decimal to a fraction in simplest form.…
\(\frac{37}{99}\)
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what non-negative integers are solutions of the inequality |2x - 1| < 3…
0, 1
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-84 ÷ 12(-3) + 19
40
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(\frac{1}{2} \times \frac{2}{8})
$\frac{1}{8}$
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close reading origins of american constitutional government 1. determin…
1. The three concepts are limited government, representative government, and ordered government. - Limited government influenced the U.S. Constitution's checks and balances to res…
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—wed. hw— subtract: 854.26 - 46.15 - 46.15 ———— compare <, >, = 0.020 0…
$854.26 - 46.15 = 808.11$ ---