(2) For the function f(x) = -x² – 24x +19

Q: For the following function, y = -32 + 15x + 6x² – x³ (a) find the critical values, (b) test for…

A: Given:     y=-32+15x+6x2-x3 We have to find: Critical values, and test for concavity to determine…

Q: Given the function g(x) = (x – 1)(z + 2)(z - 3) its g-intercept is its -intercepts are

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Q: For what values of x does the graph of f(x)=2x^3+15x^2−36x−5 have a horizontal tangent line?

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Q: The critical points of the function f(x)= 3x -36x+1 are

A: The critical points of a function are the points at which the function is defined but its derivative…

Q: For the function:     F(x) = x3/3 – 3/4x2 – 27/2x +39 (i) Determine the coordinates of the…

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Q: If f'(x) = 2x- x-2, then f has inflection point(s) with x – coordinate(s) equal to

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Q: 4. Find the points of local maxima and minima for the function f(x) = x* – 18x2 – 9

A: To Determine: Find the points of local maxima and minima for the function…

Q: Please I want solution of question 4 with step by step. Many Thanks

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Q: Given the piecewise function: 4x + 12 { x<-2 - 1<x f(x) = -2x + 6 18. What is the interval of the…

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Q: For the function:     F(x) = x3/3 – 3/4x2 – 27/2x +39 (i) What is the range of values over which…

A: Introduction : The function F(x) will be concave downwards if F"(x)&lt;0

Q: Suppose you have a function y = f(x) such that the domain of f(x) is 1 ≤ x ≤ 5 and the range of f(x)…

A: Given: The domain of fx is 1≤x≤5 The range of fx is -3≤y≤6

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: Зах + 3 for x -2

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Q: Find the critical points of the function f(K)-7x2-14x.

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Q: Find the relative extrema. x2 f(x) = 16- — х2

A: Given: f(x)=x216−x2 Function achieves relative maximum or relative minimum (relative extrema) at…

Q: Given the function f(x) = 1/2x4 – x3 – 2,

A: Given function is fx=12x4-x3-2     .....1

Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

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Q: x²-3x-4 if x>-1 x- 4 if x < -1 10.Why is f(x) = %3D x-4 discontinuous at x = -1?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: Find the local extrema of the function f(x) =r³ – 3r² – 9x.

A: Given that: f(x)=x3-3x2-9x

Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

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Q: If f(x) = x° and g(x) = 0.5f(x), what is the value of g(x) at x = 2? %3D

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Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

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Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

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Q: (a) f(x) = 2r3(3 – 4x)

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Q: 4. a) Find the value of x where the function f(x) = (x – 4)5 is not differentiable.

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Q: 3. For the function f (x) = 4x2 – 25, a) find f(-1) - %3D %3D b) find all x when f (x) = 0

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Q: 2. For what values of x does the graph of f(x) = x³ + 3x² + x + 3 have a horizontal tangent line.

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Q: What is the average rate of change between x = 4 and x = 7 for the function g defined below? 3 g(x)…

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Q: The critical points of the function f(x) = 4x³ – 48x +1 are a. 2,– 2} b. d.

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Q: Find the relative extrema for f(x) = x* + 32a²

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Q: f (x) = 3.x5 5x3.

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Q: Find the local extrema of the function f(x)=x3−12x.

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Q: Given the function: 0 < x < f(x) = 5<x< n 2 п — х

A: Given that f(x)=x,    0&lt;x&lt;π/2π-x,  π/2 &lt;x&lt;πTo the plot the graph and find the fourier…

Q: The degree of f(x) is [odd and the leading coefficient is negativev. There are real zeros and…

A: Consider the graph

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

A: Given:

Q: The critical points of the function f(z) = 9x² - 8x + 16 are

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Q: Given the function f(x) = (x – 4)(x + 5)(x – 2) its f-intercept is Enter a point [more..]| its…

A: The objective is to find x intercept and x intercept

Q: 8. The y-intercept is -4. The function has no x--00, f(x) → -0∞, x-intercepts. As x→ 0, f(x) → -∞…

A: 8.  The y-intercept is -4.   The function has no x-intercepts.  As x→∞, f(x)→-∞ and as x→-∞, f(x)→-∞

Q: The degree of f(x) is v and the leading coefficient is There are real zeros and relative extreme…

A: To Determine :-  Degree of fx Leading coefficient  Number of real zeroes Number of relative extreme…

Q: Find the local and absolute extremum for the functions over their domain: 2. f(x) = x3 + 4x2 – 11x –…

A: Given function is  f(x)=x3+4x2-11x-2

Q: Given that f(x) = 2x-2n + 8x², what value should be assigned to n to make f a function of degree 3?

A: Given f(x)=2x-2n+8x2. We need to find what value of n makes f(x) a function of degree 3.

Q: For what value of x does the function f(x) = x³ – 2x² + x -11 have a relative maximum? -1/3 1/3 -1

A: Using application of derivatives.

Q: For what value of x does  function g(x)= (-1/3)x^2+2x^2 convex?

A: please see the next step for solution

Q: This extreme value problem has a extreme values of the function sub f(x, y) = 4x + 8y, x2 maximum…

A: Method of Lagrange's multiplier: The Lagrange multiplier method is a straightforward and elegant way…

Q: Find (f-1)'(a) for f(x) = V3x + 4 when a = 2. (Enter an exact answer.)

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Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

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Q: 6. What is a point of inflexion ? Does f(x) = x' have a point of inflexion at x = 0?

A: Given that,