Calculus
Limits, derivatives, optimization, and behavior of functions.
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for the function f, f(x) = 2x + 1 and f(1) = 4. what is the approximati…
E. \(4.64\) is incorrect. The correct value using the tangent line approximation formula \(L(x)=f(a)+f^{\prime}(a)(x - a)\) with \(a = 1\), \(x = 1.2\), \(f(1)=4\), \(f^{\prime}(x…
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assignment 9.1: trigonometric score: 1/20 answered: 1/16 question 2 sim…
\(\sin(t)\)
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section 4.4 - properties of logarithms question 19 of 19 (1 point) | qu…
$3^{-6.2877} \approx 0.001$
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section 4.4 - properties of logarithms question 18 of 19 (1 point) | qu…
$2^{4.3219}\approx20$
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for the function f, f(x) = 2x + 1 and f(1) = 4. what is the approximati…
\(4.4\)
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if ( f ) is continuous and ( int_{0}^{49} f(x) d x=8 ), find ( int_{0}^…
\(4\)
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which of the following cubic functions has a point of inflection of (6,…
\(y = 2(x - 6)^{3}-8\) (the second option)
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evaluate the definite integral. int _ { 0 } ^ { pi / 2 } 8 cos ( x ) si…
\(8(1-\cos(1))\)
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a model for the basal metabolism rate, in kcal/h, of a young man is ( r…
\(1920\)
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follow the steps for graphing a rational function to graph the function…
A. The graph of \(R\) intersects the horizontal or oblique asymptote at \((-2,0)\). A. The graph of \(R\) is above the \(x\) - axis on the intervals \((-9,-2),(0,\infty)\) and bel…
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evaluate the definite integral. $$\\int_{0}^{1} 5 \\cos(\\pi t / 2) d t…
$\frac{10}{\pi}$
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evaluate the indefinite integral. (use ( c ) for the constant of integr…
\(\frac{\tan^{9}\theta}{9}+C\)
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evaluate the indefinite integral. (use c for the constant of integratio…
\(\frac{1}{5}(x^{2}+10)^{\frac{5}{2}}-\frac{10}{3}(x^{2}+10)^{\frac{3}{2}}+C\)
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follow the steps for graphing a rational function to graph the function…
For the hole - related part: B. There are no holes in the graph. For the vertical asymptote - related part: C. It approaches \(\infty\) on one side of the asymptote(s) at \(x = 0\…
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evaluate the indefinite integral. (use c for the constant of integratio…
\(\frac{6}{5}(7+\tan(t))^{\frac{5}{6}}+C\)
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evaluate the integral by making the given substitution. (use c for the …
\(\frac{\sin^{4}(\theta)}{4}+C\)
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step 1 we know that if ( u = f(x) ), then ( du = f(x) dx ). therefore, …
\(\frac{1}{3}\)
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we know that if ( u = f(x) ), then ( du = f(x)dx ). therefore, if ( u =…
\(3x^{2}\)
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write the domain in interval notation. $v(x)=\\log _{2}(\\frac{x + 3}{x…
$$(-\infty,-5)\cup(-3,\infty)$$
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in the following argument, identify the promise and conclusion, explain…
- **Premise**: After I last gave to a charity, an audit showed that most of the money was used to pay its administrators in the front office. - **Conclusion**: I will not give mon…
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section 4.3 - logarithmic functions question 8 of 13 (1 point) | questi…
To graph \( y = \log_4 x \), we can use the following key points and the vertical asymptote: - **Vertical Asymptote**: \( x = 0 \) (since the domain of \( y=\log_a x\) is \(x>0\))…
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in the following argument, identify the premise and conclusion, explain…
B. The conclusion is drawn from a limited number of cases.
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algebra 2a semester online practice complete this assessment to review …
\((0,-11)\)
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given the function ( f(x)=(x + 8)^3 ), which of the following is the po…
\((-5,0)\)
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9. match each interval of the graph to the correct description: $(-2,\\…
\((-2,\infty)\): constant; \((-\infty,-2)\): increasing
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which of the following cubic functions has a point of inflection of $(-…
\(h(x)=-2(x + 4)^{3}+2\) (the fourth option)
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8. determine which intervals the graph is increasing. choose all that a…
D. \((-\infty,\infty)\)
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5. use the graph of the piecewise function to evaluate the function: 1.…
1. a. \(1\) 2. c. \(0\) 3. a. \(1\) 4. a. \(1\) (assuming the left - hand limit as the function is not defined at \(x = - 2\) in the proper sense, but if we consider the piece for…
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question 4 4 pts in the formula for the volume of a solid, ( v=int_{a}^…
\(A(x)\) is the cross - sectional area at a given \(x\)
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evaluate the integral by making the following substitution: $\\int x^{2…
\(\frac{2}{9}(x^{3}+6)^{\frac{3}{2}}+C\) (corresponds to the third option: \(\frac{2}{9}(x^{3}+6)^{\frac{3}{2}}+C\))
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question 2 evaluate the indefinite integral: ∫cos⁶(x)sin(x)dx the corre…
\(-\frac{1}{7}\cos^{7}(x)+C\)
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research organizations are permitted to receive a limited data set that…
First question: a limited data set that has been de - identified for research purposes. Second question: must be available to all employees.
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given the function ( g(x)=sqrt3{x}+8 ), what happens as ( x ) approache…
\(y\) approaches negative infinity.
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what is the point of inflection of the function ( y = - 4 ( x + 7 ) ^ {…
\((-7,-11)\)
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what is the inflection point of $f(x)=(x + 7)^3-3$? (1 point) $(-7,3)$ …
\((-7,-3)\)
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17) $\\int 2x(5x + 2)^{3}dx$
\(50x^5 + 75x^4+40x^3+8x^2+C\)
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which of these are among the macroeconomic goals of governments? check …
steadily increasing the gross domestic product, keeping citizens employed, managing prices throughout the economy
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what is the effect on the x - intercept of the graph of ( f(x)=sqrt3{x}…
The \(x\) - intercept shifts to the left by a distance of \(5\).
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which of the following scenarios indicates that the presenter didnt reh…
D. Mary has difficulties pulling up her PowerPoint presentation on the screen.
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scaling the cubic function quick check analyze the effect on the x - an…
The \(x -\)values remain the same while the magnitudes of the \(y -\)values decrease when multiplied by a factor of \(a\).
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the point of inflection of the cubic function ( f(x) ) is ( (-5,0) ). w…
\(h(x)=(x - 1)^3\) (the third option)
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which of the following cubic functions has a point of inflection of $(2…
\(g(x)=2(x - 2)^{3}-5\)
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given the function ( f(x)=x^{3} ), on what interval of ( x )-values is …
\((0,\infty)\)
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consider the function ( f(x)=(x - 4)^3-2 ). in which interval is the gr…
\((-\infty,\infty)\)
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graphing the cubic function quick check when given the function ( f(x)=…
A graph that has a portion that is concave up and a portion that is concave down.
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what is the point of inflection of the function $y = 3(x - 2)^3+6$? opt…
Option #2: \((2,6)\)
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for what values of x is the cubic function $y = x^{3}+2$ concave down? …
Option #2: \(x < 0\)
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what is the inflection point of the function $f(x)=(x - 8)^3-2$? option…
A. \((8,-2)\)
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the point where the graph of a function changes from concave up to conc…
Option #2: inflection point
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which best describes how specialized producers decrease their opportuni…
by limiting the types of goods produced
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identify the type of writing for each example. we should limit access t…
business writing: Please find enclosed details about how our services have helped consumers cut costs. fiction writing: The tension in the room suddenly grew and hung like a dark,…
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______ was integral to islamic culture. it had been a highly developed …
Poetry
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given the function defined in the table below, find the average rate of…
\(2\)
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find a formula for the $n^{th}$ partial sum $s_n$ of the following seri…
\(S_{n}=0\), converges, sum: \(0\)
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it is easy to write the line people starve to death; it is much harder …
It explains that the poor starved to death as a result of a shortage in the food supply.
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question why does changing the discount rate up or down have little imp…
A. Because banks are expected to first borrow from other available sources, like other banks. B. Because the Federal Reserve charges a higher discount rate than the rate of federa…
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read the text. before becoming an award - winning actress, charlize the…
- Cause: South Africa had few jobs for dancers. Effect: Theron moved to New York. - Cause: Theron suffered a knee injury. Effect: Theron moved to Los Angeles. - Cause: Theron was …
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if a rock is dropped from a height of 82 ft, its position t seconds aft…
1. \(2.264\) seconds 2. \(-36.220\) feet per second 3. \(1.132\) seconds after it is thrown
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consider the function ( f(x)=2x^{3}-12x^{2}-72x + 10 ) on the interval …
The average slope is \(2\). The smaller value of \(c\) is \(2-\frac{7\sqrt{3}}{3}\approx - 2.04\) and the larger value of \(c\) is \(2+\frac{7\sqrt{3}}{3}\approx6.04\)
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consider the function ( f(x)=4x^{3}-4x ) on the interval ( -5,5 ). find…
The average or mean slope of the function is \(96\). The smaller value of \(c\) is \(-\frac{5\sqrt{3}}{3}\) and the larger value of \(c\) is \(\frac{5\sqrt{3}}{3}\)
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consider the function ( f(x)=3 - 2x^{2} ) on the interval ( -3,3 ). fin…
The mean - slope is \(0\). The value of \(c\) is \(0\)
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answer the following true or false: two cars drive from one spotlight t…
True
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the function graphed above is: increasing on the interval(s) decreasing…
Increasing on the interval(s): \((-2,2)\) Decreasing on the interval(s): \((-\infty,-2)\cup(2,\infty)\)
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a company that produces cell phones has a cost function of $c = 7x^{2}-…
\(\frac{72}{7}\)
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the function ( f(x) = 5 + 9x + 144x^{-1} ) has one local minimum and on…
The function has a local maximum at \(x=-4\) with value \(-67\) and a local minimum at \(x = 4\) with value \(77\).
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find the maximum and minimum values of the function $g(\\theta)=5\\thet…
Minimum value \(=-0.392\), Maximum value \(=15.71\)
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find the maximum and minimum values of the function ( g(\theta)=5\theta…
Minimum value = \(-0.392\) Maximum value = \(5\pi\approx15.71\)
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exercises 4.3 maxima and minima score: 14/30 answered: 8/14 question 9 …
The absolute maximum value is \(1\) and this occurs at \(x = 0\). The absolute minimum value is \(-174\) and this occurs at \(x=-5\).
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find the critical numbers of the function ( f(x)=12 x^{5}-45 x^{4}-20 x…
\(x = 0\) is a neither local maximum nor local minimum (or a point where the derivative has a zero but no sign change for local extrema). \(x\approx - 0.30\) is a local maximum. \…
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find the critical numbers of the function ( f(x)=12 x^{5}-45 x^{4}-20 x…
\(x = 0\) is a neither a local maximum nor a local minimum. \(x=\frac{3-\sqrt{13}}{2}\) is a local maximum. \(x=\frac{3+\sqrt{13}}{2}\) is a local minimum.
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use the graph shown to find the following. (a) the domain and range of …
\((-\infty,-2)\cup(-2,2)\cup(2,\infty)\)
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find the critical numbers of the function ( f(x)=-6 x^{5}-15 x^{4}+10 x…
\(x=-2.414\) is a local minimum. \(x = 0\) is a local maximum. \(x = 0.414\) is a local maximum.
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the function ( f(x)=2 x^{3}-33 x^{2}+60 x - 8 ) has two critical number…
The smaller one is \(x = 1\) and the larger one is \(x=10\).
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exercises 4.3 maxima and minima score: 4/30 answered: 4/14 question 5 t…
\(A = 0.2\) \(LMAX\)
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the function graphed above is: increasing on the interval(s) decreasing…
Increasing on the interval(s): \((-2,2)\) Decreasing on the interval(s): \((-\infty,-2)\cup(2,\infty)\)
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answer the following true or false: if ( f(x) ) is a differentiable fun…
False
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suppose ( f ) is known to be differentiable and contains a local extrem…
\(f^{\prime}(c)=0\)
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question 6 (5 points) which of the following quotes comes from the decl…
A. [W]e believe the Negro, like any other race, should be governed by the ethics of civilization, and therefore should not be deprived of any of those rights or privileges common …
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1) nijah has taken piano lessons all her life. while she considers hers…
Growth mindset
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strontium - 90 is a radioactive material that decays according to the f…
\(302\) grams
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strontium - 90 is a radioactive material that decays according to the f…
(a) The decay rate of strontium - 90 is \(-2.44\%\). (b) Approximately \(301\) grams of strontium - 90 is left after 40 years. (c) Only 600 grams of strontium - 90 will be left in…
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1) nijah has taken piano lessons all her life. while she considers hers…
Both fixed and growth mindsets
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a company determines that its weekly online sales, ( s(t) ), in hundred…
\(970418\) dollars
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a company determines that its weekly online sales, ( s(t) ), in hundred…
\(9704.18\) (in hundreds of dollars)
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23) a rectangular solid (with a square base) has a surface area of 13.5…
The dimensions of the rectangular solid (square base) for maximum volume are \(x = 1.5\) cm (side of the square base) and \(h = 1.5\) cm (height).
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24. what safety risk do texting, eating, and arguing while driving have…
They all cause the driver to be distracted from the job of driving.
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solve the following problems. draw a diagram for each problem (2pts.). …
Each corral should have dimensions \(x=\frac{250}{3}\text{ ft}\) (length parallel to the shared side) and \(y = 62.5\text{ ft}\) (width perpendicular to the shared side).
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15) $\\int 2x\\cos (x^{2}-3)dx$
\(\sin(x^{2}-3)+C\)
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1. jesse just got his drivers license. although it is not a law, which …
Drive with only responsible adults as passengers.
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14) $\\int - 40 x \\csc ^ { 2 } ( 5 x ^ { 2 } + 4 ) d x$
\( 4\cot(5x^{2}+4)+C \)
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13) \\( \\int ( 3 x ^ { 5 } + 4 ) ^ { 3 } \\cdot 15 x ^ { 4 } d x \\)
\( \frac{(3x^{5}+4)^{4}}{4}+C \)
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find the area under the curve ( y = 8x^{5} ) over the interval (0,5) gi…
\(\frac{62500}{3}\)
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12) \\( \\int ( 2 x ^ { 5 } + 5 ) ^ { 4 } \\cdot 10 x ^ { 4 } d x \\)
\(\frac{(2x^{5}+5)^{5}}{5}+C\)
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section 3.6: additional in score: 50/60 answered: 5/6 progress saved do…
\(\frac{e^{3x}}{9}(3x - 1)+C\)
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section 3.6: additional in score: 40/60 answered: 4/6 progress saved do…
\(\frac{x^{8}}{8}\ln x-\frac{x^{8}}{64}+C\)
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section 3.6: additional integr score: 40/60 answered: 4/6 progress save…
\(\frac{x^{5}}{5}\ln x-\frac{x^{5}}{25}+C\)
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section 3.6: additional integra score: 30/60 answered: 3/6 progress sav…
\(-\frac{4}{9}xe^{9x}+\frac{4}{81}e^{9x}+C\)
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consider the integral $\\int x^{4}e^{x}dx$: applying the integration by…
\(u = x^{4}\), \(dv = e^{x}dx\), \(uv-\int v\;du=x^{4}e^{x}-\int4x^{3}e^{x}dx\)
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consider the integral $\\int x^{5}\\ln(x)dx$: applying the integration …
\(u=\ln(x)\), \(dv = x^{5}dx\), \(uv-\int v\;du=\frac{x^{6}}{6}\ln(x)-\int\frac{x^{5}}{6}dx\)
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pm sat nov 15 affordable health care act, passed by congress and signed…
- Affordable Health Care Act: Checks and Balances - 19 - year - old voting: Individual Rights - Tom Stevens as Congressman: Republicanism - 10th Amendment: Federalism