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A: the function is shown in wave form.

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A: Critical points are the value of x where derivative of the function is zero that is f'(x) = 0.

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A: Given function  f(x) =4x-1

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A: To find critical number of a function f(x)  we first find the derivative value of f(x) that is f'(x)…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Find the critical point of the function f(x, y) = 1 – x – 6x² – 8y + 3y? %3D | This critical point…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: d-x d-x Show that g(x) is decreasing, while is increasing || V62+(d-x)² c1 Va²+a? C2 nction of x.

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Q: y = f(r) Refer to the graph of y = f(z) above. If f" (2) exists everywhere, which of the following…

A: Derivative

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: objective is to find the critical number.

Q: 5/ Find the extreme value(s) of the following function and check whether they are maxima or minima Z…

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Q: Find the relative maxima and relative minima, if any, of the function. (Enter your answers as a…

A: Given the functionf(x)=xx−6

Q: A crate open at the top has vertical sides, a square bottom, and a volume of 256 cubic meters. Using…

A: Given,          A crate open at the top has vertical sides, a square bottom, and a volume of 256…

Q: Ks] B5(a): Determine the following for the function 223 -) = 10z? + 48x + 5: 3 (i) local minima and…

A: For crtical point find f'(x)=0 and fint extremum points

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A: Given Data: Function f(x): f(x)=-2x-2ex Function g(x): g(x)=-x3+3x2-3x+4 The conditions of limit for…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: 21. Consider the function f (x) = b*. That is, a = 1. If b > 1 then: O The function is decreasing…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: Find the critical numbers

Q: Find the local maxima and minima for the function. Find the intervals on which it is increasing and…

A: topic - maxima and minima , increasing and decreasing intervals of function

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: find the derivative of function to get the inflection point.

Q: x2 Find the absolute maximum of f(x) = x?e7 on 2 on [0,4]

A: To Find: Absolute maximum of f(x) = x2 e-x22 on [0, 4]   Proof: Firstly  Differentiating f(x) w.r.t…

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A: To find the intervals where the graph is increasing and decreasing.   f(x) = 2x3+3x2-7.

Q: Do as directed. Show all necessary solution clearly. 1. Test for relative maxima and minima the…

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Q: Consider the function f (x, y) = 4x?e – 2x4 - e4y a. Show that f has two local maxima but no other…

A: (a) Find the first order partial derivatives. fx=8xey−8x3               fy=4x2ey−4e4y Find the…

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A: In simple terms, you have to find the interval of increase and decrease for the given function N(t)

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Q: Find the local maxima and minima for the function. Find the intervals on which it is increasing and…

A: Given that functiony=x+1  ,4≤x≤10Solution :y=x+1y'=12x+1y4=4+1=5y10=10+1=11local maxima at x=10local…

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Q: 1. s] Let f(x) = 3x² - 20x². %3D Find where the function is increasing and where decreasing. Show…

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Q: Let g (æ) = x – 6x? – 15a + 20. Find all critical points for this function. Show work! HTML Editorn…

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Q: Q3) A function f(t) is defined on 0 <t <n by f)πt The an of the half range of an even function is:

A: Given ft=π-t, 0&lt;t&lt;π

Q: ind the open interval(s) where the function is changing as requested 联161 Decreasing f(x) = - X-1 OA…

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Q: of change of the pno Th 2. + th o00S 2ntno)-nて一さn- maximize the efficiency, calulate energy puo

A: The maximum value for the equation of two variables can be calculated by the second derivative test.…

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A: We know that  x=c is a critical number of the function f(x) if f(c) exists &amp; if either of the…

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Q: 5) Find critical values of the function. If they exist label as a max/min. Only use f' and keep…

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Q: III. Verify if the function is continous at the point. 1. f(x) %— х* — 2х? +х-5 at x = 0 х+1 2.…

A: (1) f(x) = x3 - 2x2 + x - 5 is an algebraic function and each algebraic function is always…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.