Consider the function: f(x) = x2 – 4x + 9 Step 1 of 2: Find all critical points of the function. Separate multiple answers with commas.

Q: find all critical points of the function f (x) = x3 − 9/2^ x2 − 54x + 2

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Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: Find the value k that makes the function continuous. (ka?, x > -2 f (x) kx + 18, x < -2

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Q: Find the value of k that makes the function continuous. Justify your answer. 2x – 1, x 2

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Q: b) Find the absolute maximum and minimum values of function f(x) = (x– 2)5 over the interval [-3, 4]

A: Absolute extrema can occur either at the points of local extrema or the boundaries of the interval.…

Q: Find all absolute maxima and minima values for the function y=x^2+(54/x), on the intervial [1,108]

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Q: find the value of the constant ( a, b, or c) that makes the function continuous.

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Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

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Q: Find the absolute maximum and absolute minimum values of the function: f(x)=5x^7−7x^5−7 on the…

A: We find the critical points by solving f'(x)=0 Use power rule to find f'(x)

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents…

Q: For the function f(x) = |x2 − 4|, find the critical points, test them to find extreme values. Which…

A: According to the given information, it is required to determine the extreme values of the function.

Q: Find all critical points for the function f (x) = 10x² – 200x – 8. Separate multiple answers with a…

A: Given function is: f(x)=10x2-200x-8 for critical points, put f'(x)=0

Q: Use the EVT to find the maximum and minimum values of the function f(x, y) = e4a-5 yʻ on the disc x²…

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Q: Q9- Find the turning points of the function f(x,y)=x^2+ 2xy and state whether the points are max,…

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Q: Find the absolute extrema of the function on the closed interval.

A: Solution Given Find the derivative of the functionf'(x)=xx2+1To find the criticle Number derivative…

Q: Find the Zero and its oodex for the function flz)=1- Ti+Z+

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Q: Find the values of x, y and z that correspond to the critical point of the function: 23D f(+, у) —…

A: Given  z = f(x, y) = 2x2-6x-3y+3y2+5xy We have to find the critical point of the function.

Q: A​ once-popular children's doll is slowly declining in popularity. The quartic function…

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Q: Find the absolute maximum of the function Ax) = x(x+ 1)(x– 1) on the interval osxs2. O a) o b) 8 c)…

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Q: Find the absolute extrema of the function on the closed interval. 3 f(x) = x³ – , [-1,2]

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Giveny=-5x-14

Q: Find the absolute maximum of the function f(x) = x-x-x On the interval - 10 sxS2 (a) 14 (b) 13 (e)…

A: To find absolute maximum and minimu , first, we need to find critical points. These are the points…

Q: Find the inflection point(s) of the function f(x) 16x + 36x + 17x + 5. Show = 2r1 the work.

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = 0.002x…

A: Given that f(x)=0.002x4+0.025x3-0.364x2-7.243x+86.993 where x is the number of years since 1993 we…

Q: State the interval of the function g(x) = E-x is %3D

A: The given function is gx=32-x  exist in the interval (-∞,32] and does not exist in any other…

Q: Q. 4 Find the absolute maximum and minimum values of f(x) = x³ + 5x2 – 7x over the closed interval…

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Q: Use the First Derivative Test to find the x-value(s) at which the function f(a) = + 4x? 2 9x? + 4…

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Q: Find the absolute extreme values of the function on the interval. F(x) = /x, - 27 sxs 64

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Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Consider  y=e9−x2−2

Q: Determine the values of x at the critical points of f(x)=x -3x -0.25x+3.75 and classify each…

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

A: f(x)= 3x^4+8x^3-18x^2 f'(x)= 12x^3+24x^2-36x f'(x)= 0 12x^3+24x^2-36x=0 12x(x^2+2x-3) x=0,-3,1

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = -…

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Q: Consider the function f(x)=xe^-7x, 0≤x≤2. Find The absoulute mininum and maximum.

A: Given data: The given function is f(x)=xe-7x. The given limits of x are [a, b]=[0, 2]. The first…

Q: Find the relative extrema of the function and classify each as a maximum or minimum. (Use either the…

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Q: Find the critical point of the function f(x, y) —7- 5х — бх?+ 5у — 4у? This critical point is a:…

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Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

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Q: f(x) = 4x^2-12x+7   how is this function concave wherever it is defined?

A: Given:

Q: Find the critical point of the function f(x, y) = - 5 – x + 4x? + y + 3y? This critical point is a:…

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Q: find the critical point and classify the function f(x,y) =xlny +x2 -4x-5y+8

A: Answer

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where d2Rdx2=0

Q: The absolute maximum of the function f(x) = 4x? 12x + 10 over [1, 6]. -

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Q: For what value of x does the function f(x) =x 4x attain the absolute maximum %3D in the interval…

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Q: Find the inflection point(s) of the function f(x) = 3e¬x. %3D (х, у) %3D (smaller x-value) (х, у)…

A: Given,  f(x)=3e-x2

Q: x², -2sx<1 (x+1, 1sx<2 For the piecewise-defined function f(x) = }

A: fx=x2,-2≤x&lt;1x+1,1≤x&lt;2

Q: 3. Given the function g(x) = x - 2x2 + x, find the interval(s) when g is concave up and decreasing…

A: We have given a function g(x).  We have to find the interval where g is concave up and decreasing at…

Q: 1 + y =

A: To solve the following problem, we use the concept of seperation of variable, then integrate both…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given Data: The revenue function is: R(x)=11000-x3+42x2+700x Interval: 0≤x≤20 The diminishing return…

Q: B4: a) Find and classify all critical points of the function f(x) = x³ + 3x² – 12x + 5

A: In the question we have to find critical points.

Q: The function f(x) =px²-qx+ 32, p 0 has a minimum value of 0 when x= 4. Find the value of p and of q.…

A: The given function is f(x)=px2-qx+32. To use the minima information of the function, let us…