Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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find the intervals on which the graph of ( f ) is concave upward, the i…
For concave upward: \((0,8)\) For concave downward: \((-\infty,0)\cup(8,\infty)\) For inflection points: \(x = 0,x = 8\)
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find the intervals on which the graph of ( f ) is concave upward, the i…
A. \((0,8)\)
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summarize the pertinent information obtained by applying the graphing s…
A. \(f\) is concave upward on \((-\infty,-1),(1,\infty)\) and \(f\) is concave downward on \((-1,1)\)
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summarize the pertinent information obtained by applying the graphing s…
For local minimum: A. The local minimum/a is/are at \(x=-\sqrt{3},\sqrt{3}\) For inflection points: The inflection points are at \(x=-1,1\) (assuming there was a typo in the provi…
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summarize the pertinent information obtained by applying the graphing s…
The inflection points are at \(x=-1,1\). So the answer is \(A\). The inflection points are at \(x=-1,1\).
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summarize the pertinent information obtained by applying the graphing s…
The local minimum/a is/are at \(x=-\sqrt{3},\sqrt{3}\)
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summarize the pertinent information obtained by applying the graphing s…
The local maximum is at \(x = 0\)
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summarize the pertinent information obtained by applying the graphing s…
A. The \(x\) - intercept(s) is/are \(x =-\sqrt{6},0,\sqrt{6}\)
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summarize the pertinent information obtained by applying the graphing s…
A. The y - intercept is \(y = 0\)
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summarize the pertinent information obtained by applying the graphing s…
\((-\infty,\infty)\)
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inspect the graph of the function to determine whether it is concave up…
concave up
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find the indicated derivative for the function. h(x) for h(x)=5x^{-7}-2…
\(\frac{280}{x^{9}}-\frac{144}{x^{10}}\)
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find the x and y coordinates of all inflection points. f(x) = 4 x ^ { \…
A. The inflection point(s) is/are \((0,3)\)
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the function ( f(x) ) is continuous on ( (-infty,infty) ). use the give…
A.
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let $f(x)=-3x(sin(x)+cos(x))$. find the following: 1. $f(x)=$ 2. $f(\fr…
1. \(f'(x)=-3\sin(x)-3\cos(x)-3x\cos(x)+3x\sin(x)\) 2. \(f'(\frac{\pi}{6})=\frac{-6 - 6\sqrt{3}-\pi\sqrt{3}+\pi}{4}\)
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summarize the pertinent information obtained by applying the graphing s…
A. The function \(f\) has an inflection point at \(x =-\sqrt{5},\sqrt{5}\)
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summarize the pertinent information obtained by applying the graphing s…
For the concavity upward: A. The function \(f\) is concave upward on the sub - interval(s) \((-\sqrt{5},\sqrt{5})\) For the concavity downward: A. The function \(f\) is concave do…
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summarize the pertinent information obtained by applying the graphing s…
For the local - minimum question: A. The function \(f\) has a local minimum at \(x = 0\) For the concave - upward question: A. The function \(f\) is concave upward on the subinter…
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the position function of a particle is given by ( mathbf{r}(t)=leftlang…
\(4\)
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3.3b derivatives of trigonometric functions - ds2: problem 3 (6 points)…
\(\frac{3(2\cos x + 1)}{(2+\cos x)^{2}}\)
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summarize the pertinent information obtained by applying the graphing s…
For the local maximum: A. The function \(f\) has a local maximum at \(x=-\sqrt{15},\sqrt{15}\) For the local minimum: A. The function \(f\) has a local minimum at \(x = 0\) For th…
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summarize the pertinent information obtained by applying the graphing s…
For the local minimum: A. The function \(f\) has a local minimum at \(x = 0\)
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summarize the pertinent information obtained by applying the graphing s…
- For the increasing intervals: \(A\). The function \(f\) is increasing on the sub - interval(s) \((-\infty,-\sqrt{15}),(0,\sqrt{15})\) - For the decreasing intervals: \(A\). The …
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let ( f(x)=7cos x - 7\tan x ). ( f(x)=) ( f(\frac{pi}{3})=)
\(f^\prime(x)=-7\sin x - 7\sec^{2}x\); \(f^\prime(\frac{\pi}{3})=-\frac{7\sqrt{3}}{2}-28\)
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summarize the pertinent information obtained by applying the graphing s…
For the x - intercepts: A. The x - intercept(s) of \(f\) is/are \(x=-6,6\). For the y - intercepts: A. The y - intercept of \(f\) is \(y = 216\). For the increasing intervals: A. …
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1. what should you avoid when using cultural awareness and humility? mo…
1. Assumptions based on appearance 2. Avoid making judgments 3. TRUE 4. TRUE 5. Stay immersed in your culture alone
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summarize the pertinent information obtained by applying the graphing s…
- For concavity upward: B. The function \(f\) is never concave upward. - For concavity downward: A. The function \(f\) is concave downward on the sub - interval(s) \((-5,\infty)\)…
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summarize the pertinent information obtained by applying the graphing s…
B. The function \(f\) has no local minimum. B. The function \(f\) is never concave upward. A. The function \(f\) is concave downward on the sub - interval \((-5,\infty)\)
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summarize the pertinent information obtained by applying the graphing s…
For local maximum: B. The function \(f\) has no local maximum. For local minimum: B. The function \(f\) has no local minimum. For concavity: B. The function \(f\) is never concave…
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summarize the pertinent information obtained by applying the graphing s…
B. The function \(f\) is never decreasing. B. The function \(f\) has no local maximum. B. The function \(f\) has no local minimum.
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summarize the pertinent information obtained by applying the graphing s…
A. The function \(f\) is increasing on the subinterval(s) \((-5,\infty)\). B. The function \(f\) is never decreasing. B. The function \(f\) has no local maximum.
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summarize the pertinent information obtained by applying the graphing s…
For the y - intercept: A. The y - intercept of \(f\) is \(y=\ln(5)-4\). For the increasing interval: A. The function \(f\) is increasing on the subinterval(s) \((-5,\infty)\). For…
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summarize the pertinent information obtained by applying the graphing s…
A. The function \(f\) is increasing on the sub - interval \((-5,\infty)\)
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summarize the pertinent information obtained by applying the graphing s…
A. The y - intercept of \(f\) is \(y=\ln(5)-4\)
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summarize the pertinent information obtained by applying the graphing s…
A. The \(x\) - intercept(s) of \(f\) is \(x = e^{4}-5\)
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summarize the pertinent information obtained by applying the graphing s…
A. The domain of \(f\) is \((-5,\infty)\)
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predict #3 if we changed the 3 to a 1 in the equation, what would happe…
The period of the sine - wave graph would increase. The original period was \(\frac{2\pi}{3}\), and after changing the \(3\) to a \(1\), the new period is \(2\pi\). So the graph w…
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change the equation below to see if your prediction from the last scree…
The graph of the function \(y = 2\sin3(x-\pi)+1\) is shifted down by \(2\) units to get the graph of \(y = 2\sin3(x - \pi)-1\).
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predict #2 if we changed the 1 to a -1 in the equation, what would happ…
The graph of the function \(y = 2\sin(3(x-\pi)) + 1\) is shifted downward by \(2\) units when the \(1\) is changed to \(-1\) in the equation.
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change the equation below to see if your prediction from the last scree…
The amplitude of the sine - wave graph would increase. The graph would be stretched vertically. The peaks would reach \(y = 5\) and the troughs would reach \(y=-5\) instead of \(y…
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predict #1 if we changed the 2 to a 5 in the equation, what would happe…
The graph of the sine function would be vertically stretched. The amplitude of the sine wave, which is currently \(2\), would change to \(5\). So the distance from the mid - line …
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find the velocity, acceleration, and speed of a particle with the given…
\( \mathbf{v}(t)=-5\sin(t)\mathbf{i}+4\cos(t)\mathbf{j} \) \( \mathbf{a}(t)=-5\cos(t)\mathbf{i}-4\sin(t)\mathbf{j} \) \( |\mathbf{v}(t)|=\sqrt{25\sin^{2}(t)+16\cos^{2}(t)} \)
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5. - / 1.66 points find \\( \\frac{d y}{d x} \\) and \\( \\frac{d^{2} y…
\(\frac{dy}{dx}=(1 - t)e^{-2t}\) \(\frac{d^{2}y}{dx^{2}}=(2t - 3)e^{-3t}\) The curve is concave upward for \(t\in(\frac{3}{2},\infty)\)
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the number n of us cellular phone subscribers (in millions) is shown in…
(i) \(23.0\) million phones/yr (ii) \(16.0\) million phones/yr (iii) \(20.0\) million phones/yr (b) \(18.0\) million phones/yr
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the number n of locations of a popular coffeehouse chain is given in th…
(a) 2004 to 2006: $1937$ locations/year; 2006 to 2007: $2570$ locations/year; 2005 to 2006: $2196$ locations/year (b) $2383$ locations/year (c) $2383$ locations/year (d) $2122.5$ …
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the limit represents the derivative of some function f at some number a…
\(f(x)=2^{x}\), \(a = 5\) (the third option)
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the limit represents the derivative of some function f at some number a…
\(f(x)=\sqrt[4]{x},a = 16\) (the third option)
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read the excerpt from “a poem for my librarian, mrs. long.” mrs. long a…
the speaker enjoyed a variety of books and authors.
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the limit represents the derivative of some function f at some number a…
\(f(x)=\cos(x)\), \(a=\pi\) (corresponding to the second option \(f(x)=\cos(x),a = \pi\))
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the limit represents the derivative of some function f at some number a…
\(\boldsymbol{f(t)=t^{4}+t,a = 1}\) (the fifth option)
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16. - / 5.88 points determine whether ( f^{prime}(0) ) exists. f(x)=lef…
\(f^{\prime}(0)\) does not exist.
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17. - / 5.92 points determine whether ( f^{prime}(0) ) exists. ( f(x)=l…
\(f^{\prime}(0)\) does exist.
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the limit represents the derivative of some function ( f ) at some numb…
\(f(x)=x^{4}\), \(a = 1\) (the third option).
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use the given graph of ( y = f(x) ) to find the intervals on which ( f(…
A. \((-1,1),(3,4)\)
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the function ( f(x) ) is continuous on ( (-infty,infty) ). use the give…
D.
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(a) if ( g(x)=x^{2}-3x + 3 ), find ( g^{prime}(a) ) and use it to find …
\(G^\prime(a)=2a - 3\) \(y_1(x)=-3x + 3\) \(y_2(x)=5x-13\)
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find an equation of the tangent line to the graph of ( y = g(x) ) at ( …
\(y = 2x-16\)
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multiple - choice question how is cognitive bias different from self co…
Cognitive bias is different from self - confidence in that cognitive bias favors the person's preconceived ideas about a topic while self - confidence allows for an acknowledgment…
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part 3 of 3 canceling common factors and evaluating the limit, we can f…
The first blank is \(2\), and the second blank is \(-14\).
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factoring the numerator, we have $v(2)=\\lim_{t\\to 2}\\frac{(50t - 16t…
The first blank is \(18\) and the second blank is \(2\)
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find the intervals on which ( f(x) ) is increasing and the intervals on…
The function \( f(x)=x^{4}-12x^{2}\) is increasing on \( (-\sqrt{6},0)\cup(\sqrt{6},\infty)\) and decreasing on \( (-\infty,-\sqrt{6})\cup(0,\sqrt{6})\)
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part 1 of 3 let ( h = s(t) = 50t - 16t^{2} ) give the height of the bal…
The value to fill in the blank is \(2\) (from \(s(a)\) with \(a = 2\) in the first - level blank).
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find the intervals on which ( f(x) ) is increasing and the intervals on…
The function \( f(x) \) is increasing on \( (-3,0)\cup(3,\infty) \).
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the dunning - kruger effect - cognitive bias - why incompetent people t…
People just beginning to learn about a topic will learn much faster about that topic than at any other time. After they gain more knowledge on the topic, their increase of underst…
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why did farmers want the united states government to purchase and carry…
B. Putting more money into the economy would cause inflation, raising prices
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find the average rate of change of ( f(x)=x^{3}-4x + 5 ) over the follo…
\(72\)
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find the average rate of change of ( f(x)=x^{3}-4x + 5 ) over the follo…
\(9\)
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find the average rate of change of ( f(x)=x^{3}-4x + 5 ) over the follo…
\(35\)
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find the intervals on which ( f(x) ) is increasing and the intervals on…
The function \(f(x)\) is increasing on \((-5,0)\cup(5,\infty)\) and decreasing on \((-\infty,-5)\cup(0,5)\).
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find the intervals on which ( f(x) ) is increasing and the intervals on…
The function is decreasing on \((-\infty,-5),(0,5)\)
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find the intervals on which ( f(x) ) is increasing and the intervals on…
A. The function is increasing on \((-5,0),(5,\infty)\)
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use a graphing utility to graph ( f(x)=x^{3}-2x ) on the interval ( -2,…
A. There is one local maximum. It is \(1.10\) and it occurs at \(x=-0.82\)
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find the intervals on which ( f(x) ) is increasing and the intervals on…
The function \(f(x)\) is increasing on \((-6,0)\cup(6,\infty)\)
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5. graph one complete primary period of the function ( y = 100 cos ( \f…
Amplitude: \(100\) Period: \(8\) Vertical Shift: \(-50\) Horizontal Shift: \(-4\) Maximum Value: \(50\) Minimum Value: \(-150\) Average Value: \(-50\) Endpoints of the Primary Int…
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find the intervals on which ( f(x) ) is increasing and the intervals on…
The function \(f(x)=7 + 4x - x^{2}\) is increasing on \((-\infty,2)\) and decreasing on \((2,\infty)\). So the answer is A. The function is increasing on \((-\infty,2)\)
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find the intervals on which ( f(x) ) is increasing, the intervals on wh…
The function is decreasing on \((-\infty,-6)\)
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find the intervals on which ( f(x) ) is increasing, the intervals on wh…
A. The function is increasing on \((-6,\infty)\)
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differentiate: \\frac{1}{x} \\frac{1}{x^{3}} =
\(-\frac{1}{x^{2}}+\frac{3}{x^{4}}\)
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differentiate: \\frac{1}{x}\\frac{1}{x^{3}}=
\(\frac{-1}{x^{2}}+\frac{3}{x^{4}}\)
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question 11 of 14 (1 point) | question attempt: 1 of unlimited (a) does…
\(x = 4\)
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use the graph of a function ( y = f(x) ) to find the absolute maximum a…
B. The local maxima of \(y = f(x)\) are \(f(1)=6\) and \(f(3)=4\)
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for each function, determine the long run behavior. \\frac{x^{2}+1}{x^{…
\(\frac{x^{2}+1}{x^{3}+2}\) has a long - run behavior of approaching \(0\); \(\frac{x^{2}+1}{x^{2}+2}\) has a long - run behavior of approaching \(1\); \(\frac{x^{3}+1}{x^{2}+2}\)…
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question 10 restrictions on asset sales and borrowing in bond indenture…
D. restrictive clauses
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use the graph of $f(x)$ to evaluate the following: average rate of chan…
\(-\frac{4}{3}\)
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select the text from the paragraph that best helps you understand that …
world's largest dome
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read the passage and then answer the question. construction on florence…
dome
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select the text from the paragraph that best helps you understand that …
"stalling progress" and "architectural limitations"
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the graph of $y = x^{4}-2x^{2}+1$ is shown. which point is a relative m…
B
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the graph of ( y=(x + 2)(x - 2)(x + 1) ) is shown which point is a rela…
C
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technology to help analyze a function the graph of ( y = x ( x - 1 ) ( …
B
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the graph of a function is shown. which point is a good approximation o…
\((1,3)\)
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using the graphing calculator to identify specific values graph the fun…
\((4,2)\), \((5,1.76)\), \((2.25,2.50)\)
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the functions y = sin(x) and y = sin(ax) + b, for constants a and b, ar…
\(a > 1\) and \(b>0\)
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question 1 - 5 which statement identifies an obstacle unique to the asi…
The Chinese Exclusion Act and the Gentlemen's Agreement limited the number of Asian immigrants entering the United States.
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a patient is not allowed to have more than 564 milligrams of cholestero…
The graph should have the line connecting \((3,0)\) and \((0,4)\) with the region below (and including) the line in the first quadrant. If we assume the options: - Option A: If th…
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add work: chapter 6 quiz question 1 solve ( 4 cos (4 x)=2 ) for the sma…
\(0.26\)
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use - 2, - 1, 0, 1, and 2 for x and find the corresponding values of f(…
B.
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assignment 7.5: solving trigonometric equations score: 90/100 answered …
\(A = 0.574\) \(B = 5.710\)
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assignment 7.5: solving trigonometric equations score: 70/100 answered:…
\(0.31,2.83,3.45,5.97\)
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assignment 7.5: solving trigonometric equations score: 60/100 answered:…
\(0,\pi,0.84,5.44\)