(b) Let f(x) = 12x35+ 15x* – 40x³ + 17. Find the critical numbers, and show what the Second Derivative Test tells about their nature, that is local maximum, local minimum, neither, or nothing.

Q: Give an example showing that, even if f 0 (c) = 0, it could happen that f(x) does not have a local…

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Q: Find all critical points of the function f(x)=x√1−x2.

A:

Q: 4) Find the critical points of the function f(x) = x²- 9 x* + 15x +3 and identify their nature. Draw…

A: Given that: f(x)=x3-9x2+15x+3 The graph is shown below

Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

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Q: Find the critical point for f and then use the second derivative test to decide whether the critical…

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Q: Find the critical points and the intervals on which the function f(x) = x* – 9x2, (x > 0) is…

A: Given: The function is  fx=x4-9x32, x> 0   To determine: The critical points and the intervals on…

Q: Let f(x)=x+(1−x)^(1/2) Find the local maximum and minimum values of f using both the first and…

A: For local maxima or minima:The first derivative test is f'(x) = 0The second derivative test…

Q: The derivative of the function f(x) = 25 x3 -6 x2 +7x- 88 at X = 3 using a step size of 0.5 and…

A: on solving we get

Q: Find the absolute maximum and minimum values of f(x) = 2x³ + 3z² + 7z – 5, if any, over the interval…

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Q: Find the points of local minimum and  local  maximum of the functions f(x) = sin2x where x belongs…

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Q: 1. Use the first derivative test to find the local minimum and maximum points of the graph of f(x) =…

A:

Q: use the first derivative test to characterize each critical value of f(x)=x3+6x2-18x+3 as a maximum,…

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Q: 5. Use the given derivative to find all critical points of f and at each critical point determine…

A: Given that, f'(x)=4x3-9x

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A: The function is given by f(x) =-2x3+6x2-3 To evaluate : The point of local maxima or local minima.

Q: Find all critical points of the function f(x) = 2 – 2x + 2. %3D

A: topic - derivatives

Q: Find the x-coordinates of the absolute extrema of f(x) = -x² + 7x on the interval [1, 7]. Absolute…

A: f(x)=-x2+7x differentiating both side f'(x)=-2x+7 now f'(x)=0 -2x+7=0 x=3.5 So x=1, 3.5, 7

Q: At what x-value is the global minimum for f(x)=x2−4x+3 within the interval  0≤x≤5?

A:

Q: Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 2 at x = −2 and a…

A:

Q: How do I find the critical numbers for the function f(x) = x2 – 4x + 2?

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Q: 8. If f(x) = 4 sin x + 6 and g(x) = 3x + 5, what is the maximum value of f(g(x))?

A: Solution is given below

Q: Find the absolute maximum/minimum of function f(x) = 4x3 - x2 - 2x %3D for interval of [0, 1]

A: The absolute maximum of a function in interval a,b is the maximum function value over this interval.…

Q: Find all the critical numbers for the function g(x) = % xª -- x3 - 5x?

A:

Q: Find all critical points of the function f(x)=5x5-2r and use the First Derivative Test to find local…

A: The given function is f(x)=5x45-2x

Q: For the function f(x) = 2x4 - 16x2 , find and identify any extrema (maximum/minimum) using the…

A:

Q: Find the minimum value of the function f(x) = x³ – 6x² + 4x + 12 in the interval(-2,6] within 10% of…

A: We need to find minimum value.

Q: (5) Use the first derivative test to classify the critical numbers of the function s(r) = 2¹-4r³+17.…

A:

Q: Find the local maximum value of f using both the First and Second Derivative Tests. f(x) = x + V1 -…

A: First calculate critical point at which either local maxima or local minima will occur by putting…

Q: Find the absolute maximum and minimum values of f(x) = x – 2x on the closed interval [0, 2]. -

A:

Q: 2. Use the second derivative test to determine the local minimum and maximum points of the graph of…

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Q: The profit function (in millions) for a beverage company for the years 2008 through 2015 can be…

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Q: Find the absolute maximum of f(x) = x³ – 12x + 1 on the interval [0, 4]. -

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Q: Find the coordinates of all critical points of the given function. Determine whether each critical…

A: Given function is fx=3x3-9x+3 To find the critical points first differentiate given function…

Q: Find the relative extrema of f(x) = 3 +90x – 9x² using both first %3D - and second derivative tests.…

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Q: Find all critical points of f(x) = 3 + 12x - x² and use the First Derivative Test to determine…

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Q: Find the critical numbers of the function

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Q: Find all critical points for the function f(x)= x²e!-2¤. %3D

A:

Q: Find the critical numbers of the function  f(x) = 4x - tan x

A: fx=4x-tanx Differentiating with respect to x, we get f'x=41-sec2x=4-sec2x

Q: Find all the critical points of the function f(x) = x^3 - 2x^2 - 15x + 2 on the interval [-1, 3]

A: Let's find.

Q: 1. Use the first derivative test to find the location of all local extrema for 3 f(x) = -x³ +x+ 18x…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: The coordinates of the critical point according to the criterion of the first derivative of the…

A:

Q: (1) Find the derivative of the function f(x) = 2x³ - 12x² +4 and use it to find the critical numbers…

A: Solution is given below:

Q: Use the second derivative test to locate all local extrema for the function f(x)=x3−32x2−18x. At…

A:

Q: Find the absolute maximum value on (0, oo) for f(x)37-4x--

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

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Q: Use the First Derivative Test to classify each critical point of f(x) = x^4 − 8x^2 + 3 as a local…

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Q: What values of a and b make ƒ(x) = x3 + ax2 + bx have a local maximum at x = -1 and a local minimum…

A: Given: fx=x3+ax2+bx To find a, b such that function has local maxima at x = -1 and local minima x =…

Q: The function h(x) = x³ + 28x4 – 1311x³ has a critical point at x = 19. Use the second derivative…

A:

Q: The profit function (in millions) for a beverage company for the years 2008 through 2016 can be…

A: Given profit function is f(x)=-26x2+728x-2643where x=8 is year 2008.

Q: Find the critical points of f(x)=3x^4 -4x^3 +5 and use the first derivative test to determine local…

A: Given,          fx=3x4-4x3+5

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.