Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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you purchase a new house for $240,000 today. if you live in that house …
$\$837682.29$
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you purchase a $142.83 ticket for your favorite band. you remember your…
\$696.01
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your uncle says that when he was 10, he used to go down to the fast - f…
$\$14.86$
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evaluate. \\(\\frac{6!10!}{8!8!}\\) simplify your answer as much as pos…
\(\frac{45}{28}\)
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an island is 7 km due north of its closest point p along a straight sho…
8.967 km
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question find the area of the rectangle of largest area that has its ba…
$5832$
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describe the end behavior of the following graph: enter your response h…
As $x \to +\infty$, $y \to -\infty$; as $x \to -\infty$, $y \to -\infty$
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what is the range of this graph? options: -1 ≤ y < ∞ -∞ < y ≤ 0.5 -∞ < …
-1 ≤ y < ∞
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what is the range of the function? all ______ numbers
All real numbers greater than or equal to -2
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2. decimals, fractions, integers score ____/84 or ______% a. decimal ca…
All the handwritten answers for the decimal addition and subtraction problems are correct. The total possible score for this section is 84, so the score is 84/84 or 100%.
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a gardener has 88 yd of fencing and wants to fence off a rectangular en…
The dimensions are 22 yards (perpendicular to the wall) and 44 yards (parallel to the wall), which gives the maximum area.
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an expression is shown. \\(\frac{12}{7} \times \frac{2}{3}\\) what is t…
C. \(\frac{24}{21}\)
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systems a. whole number calculations multiply score_____/50 or_____% sc…
--- ## Multiply Answers: 2 Digit Numbers: 1080, 221, 2418, 3850 3 Digit Numbers: 19344, 396740, 249676, 86250 4 Digit Numbers: 2492680, 29543040, 53939600, 20262181 ## Divide Answ…
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question 10 of 10 type the correct answer in each box. use numerals ins…
\(\frac{9}{40}\)
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question 7 of 10 type the correct answer in each box. use numerals inst…
\(5\frac{5}{7}\) (So the first blank is \(5\), the numerator of the fraction part is \(5\), and the denominator of the fraction part is \(7\))
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find the dimensions of the rectangle of largest area that has its base …
The rectangle has a base of length $10$ and height of $150$, so the dimensions are $\boldsymbol{10 \times 150}$.
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question 6 of 10 type the correct answer in each box. use numerals inst…
\(\frac{1}{36}\)
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write an equation for the function graphed below y =
$y=\frac{2x}{x^2 - 4}$
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type the correct answer in each box. use numerals instead of words. if …
\(1\frac{1}{9}\) (So the first blank is \(1\), the numerator of the fraction part is \(1\), and the denominator of the fraction part is \(9\))
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write an equation of the line that passes through (-4, -1) and is perpe…
$y = -\frac{3}{4}x - 4$
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an expression is shown. $5\\frac{9}{16} - 2\\frac{1}{2}$ what is the va…
A. \(3\frac{1}{16}\)
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what is the end behavior of this function? options: as ( x \to infty ),…
As $x \to \infty, f(x) \to \infty$ As $x \to -\infty, f(x) \to -\infty$
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write an equation of the line that passes through (1,2) and is parallel…
$y = -5x + 7$
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complete the input - output table based on this graph. write your answe…
Input 0: Output = 3 Input 8: Output = 11 (So the blanks are: [0] → 3, [8] → 11)
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determine an equation for the pictured graph. write your answer in fact…
\(y=-x^{2}(x + 2)(x - 1)\)
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question 4 based on the graph above, estimate (to one decimal place) th…
-2.0
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11. solve: $\\log_{3} 4 + \\log_{3}(x - 5) = 3$
$\frac{47}{4}$
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10 multiple choice 1 point what is the inverse of the given function? $…
A. $y = \sqrt{x} - 3$
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8 multiple choice 1 point given $f(x) = -sqrt{x - 2} + 5$, what is the …
Domain: $x \leq 5$ Range: $y \geq 2$
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6 multiple choice 1 point the table includes values of a square root fu…
$y = 2\sqrt{x}$
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5 multiple choice 1 point given $f(x) = 4sqrt{x} - 7$, identify the min…
y = -7
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4 multiple choice 1 point a function is defined by $y = \\sqrt{x - 4}$.…
$y = x^2 + 4; x \geq 0$
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perform the indicated operation. if possible, reduce the answer to its …
\(\frac{1}{2}\)
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6. add 16 + (-9). 7. evaluate a - b for a = -7 and b = 14. -7 - 14 = -21
\(7\) ### Problem 7: (Verification)
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in exercises 23–30, condense the logarithmic expression. (see example 3…
23. $\log_{10}\frac{7}{10}$ (or $\log 7 - 1$) 24. $\ln 3$ 25. $\ln 24$ 26. $\log 22$ 27. $\log_5 (4\sqrt[3]{x})$
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question 3 consider the function $f(x) = x^2 e^{6x}$. $f(x)$ has two in…
$C = \frac{-2-\sqrt{2}}{6}$, $D = \frac{-2+\sqrt{2}}{6}$ - $(-\infty, C)$: Concave Up - $(C, D)$: Concave Down - $(D, \infty)$: Concave Up
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question 6 given the function ( g(x) = 6x^3 - 27x^2 - 72x ), find the f…
At $x = 4$ the graph of $g(x)$ is concave up At $x = 4$ there is a local minimum
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question 5 given the function ( g(x) = 6x^3 + 30x^2 - 90x ), find the f…
$g'(x) = 18x^2 + 72x - 90$ $g''(x) = 36x + 72$ $g''(1) = 108$ At $x=1$ the graph of $g(x)$ is concave up At $x=1$ there is a local minimum
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question 3 consider the function $f(x) = x^3 e^{0x}$ $f(x)$ has two inf…
$C = \frac{-3-\sqrt{57}}{4}$, $D = \frac{-3+\sqrt{57}}{4}$ $(-\infty,C)$: concave up $(C,D)$: concave down $(D,\infty)$: concave up --- For Question 4:
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consider the function $f(x)=x^{2}e^{3x}$. $f(x)$ has two inflection poi…
$C=\boldsymbol{\frac{-2-\sqrt{2}}{3}}$, $D=\boldsymbol{\frac{-2+\sqrt{2}}{3}}$ - $(-\infty, C)$: Concave Up - $(C, D)$: Concave Down - $(D, \infty)$: Concave Up --- For the second…
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question 2 given ( f(x) = 2x^3 + 12x^2 + 5x + 3 ) find where ( f(x) = 0…
$x = -2.00$ At $x = 0.5$ the function is concave up At $x = 6.5$ the function is concave up
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match each piece of derivative information with what it tells us about …
- $f'(x)$ is positive → b. The graph of $f(x)$ is increasing - $f'(x)$ is negative → f. The graph of $f(x)$ is decreasing - $f''(x)$ is positive → d. The graph of $f(x)$ is concav…
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find the derivative of the function.\\( g(t) = \\frac{16 \\log_{4}(t)}{…
$\boldsymbol{\frac{16(1 - \ln(t))}{t^2\ln(4)}}$
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3) name the event described. 1. peaceful change in power after a heated…
1. Peaceful Presidential Power Transition (e.g., U.S. Post-Election Transfer of Power) 2. Alien and Sedition Acts (1798)
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find the derivative of the function. \\( y = log_8(6x + 1) \\) \\( y = …
1. $\frac{6}{(6x+1)\ln 8}$ 2. $\frac{2x-9}{(x^2-9x)\ln 2}$
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y = 2x² - ln(x), (1, 2) (a) find an equation of the tangent line to the…
$y = 3x - 1$ *(Note: Part (b) requires a graphing utility to complete, which cannot be done in this text format, but the equation for the tangent line to graph is provided above)*
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joels turn: from \\(\frac{8}{12}\\), joel throws the disc \\(\frac{6}{1…
\(\frac{8}{12}+\frac{6}{12}=\frac{14}{12}=\frac{7}{6}\), and \(\frac{7}{6}>1\)
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consider the following.\\( y = \\ln(x^9),\\ (1, 0)\\)\\(\\text{(a)}\\) …
(a) $y' = \frac{9}{x}$ Slope of tangent line: $9$ Equation of tangent line: $y = 9x - 9$ (b) When graphing, plot the function $y=\ln(x^9)$ (equivalent to $y=9\ln(x)$ for $x>0$) an…
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b) $p = 3x^2 - 15$ | x | p | |----|----| | 4 | | | 0 | | | 12 | | | | -…
Pour \( x = -4 \), \( P = 33 \) ; Pour \( x = 0 \), \( P = -15 \) ; Pour \( x = 12 \), \( P = 417 \) ; Pour \( P = -12 \), \( x = \pm1 \) ; Pour \( P = 177 \), \( x = \pm8 \) ; Po…
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find the derivative of the function.\\( f(x) = 8x^2 ln(8x) \\)\\( f(x)=…
$f'(x) = 16x\ln(8x) + 8x$
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2. (0 / 0.25 points) find the derivative of the function. $f(x) = \\ln(…
For $f(x)=\ln(9x)$: $f'(x)=\frac{1}{x}$ For $y=(\ln x)^6$: $y'=\frac{6(\ln x)^5}{x}$
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test review #3, chapter 5 score: 6.5/37 answered: 6/37 question 7 given…
The y-intercept is $0$ The x-intercepts is/are $-3, 0, 4$ When $x \to \infty$, $y \to \infty$ When $x \to -\infty$, $y \to -\infty$
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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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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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simplify your answer and write it as a proper fraction, improper fracti…
The slope of the line is $\frac{5}{2}$, and the equation of the line is $y=\frac{5}{2}x-3$
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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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use the drawing tool(s) to form the correct answer on the provided grap…
Axis of symmetry: \( x = -2 \) (a vertical line through \( x = -2 \) on the graph), Maximum point: \( (-2, 8) \) (plot this point on the graph).
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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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question write the equation of the line in fully simplified slope - int…
$y=\frac{3}{2}x - 2$
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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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question write the equation of the line in fully simplified slope - int…
\(y = \frac{3}{2}x - 8\)
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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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question write the equation of the line in fully simplified slope - int…
\(y = 3x-1\)
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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)