The function f(x) = 2x- 42x+ 270x + 3 has one local minimum and one local maximum. Use a graph %3D of the function to estimate these local extrema. This function has a local minimum at ¤ = with output value and a local maximum at z = with output value

Q: Find the values of constants a, b, and c so that the graph ofy = ax3 + bx2 + cx has a local maximum…

A: Given that: y = ax3 + bx2 + cx has a local maximum at x = 3, local minimum at x = -1, and inflection…

Q: Find any relative maximum or minimum points of the given function. y = 2 + 8x - x2 O Maximum at (4,…

A: We can find the answer as below.

Q: Consider the function f(x) = 4 – 5x", – 3 < x < 2. - - The absolute maximum value is and this occurs…

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Q: The function x2 f(x) = 1 - x has a local maximum when x = 2. Select one:

A: We will check if the given statement is correct.

Q: Find any relative maximum or minimum points of the given function. y = x - 8x - 2

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Q: Suppose f'(x) =x++x3 – 6x². Determine the value of x where f has a relative maximum value.

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Q: The function f(x) = 2x3 – 42x? + 240x + 1 has derivative f'(x) = 6x² – 84x + 240. f(x) has one local…

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Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 x +…

A: Given  Demand equation of x  p = -x8+26    ......... (1) Revenue function  R(x) R= p.x Putting the…

Q: Find the absolute minimum and the absolute maximum of the function on the interval [0,3]. f(x)=x^2…

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Q: The function y = 2x2 - ln 4x (x 7 0) has one minimum point. Find its first coordinate.

A: Given  y = 2x2 - ln 4x

Q: Determine critical points of the function f(x)=∣∣x2−4x+3∣∣.

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Q: Consider the function f(x) = 2 - 7x², −4≤ x ≤ 1. - The absolute maximum value is and this occurs at…

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Q: Find the absolute extrema of the function on the closed interval. 9x2 g(x) [-2, 1] х — 2 minimum (х,…

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Q: Suppose f'(x) =xr++x³– 6x². Determine the value of x where f has a relative minimum value.

A: F''(2)  greater then 0

Q: 8x 25. q(x) = x² + 1

A: by using definitaion of derivative

Q: Find the values of constants a, b, and c such that the graph of y = ax3 + bx2 + cx has a local…

A: We have to find the values of constants a, b, and c such that the graph of y = ax3 + bx2 + cxhas a…

Q: Consider the function f(x) = 3 – 6x, - 3 < x < 1. The absolute maximum value is and this occurs at x…

A: Given: f(x)=3-6x2, -3≤x≤1 We have to find absolute maxima and minima.

Q: Find the local maxima and local minimum value of function f(x) =xx

A: We use first derivative test to find local maximum and minimum

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = x2 - 5y2, subject to x - y = 12

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Q: Suppose f'(x) =x4+x3– 6x2. Determine the value of x where f has a relative minimum value.

A: Explanation of the answer is as follows

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 x +…

A: Given,  p=-16x+26

Q: 3. Find the stationary points (local maximum and local minimum) of the function f(x) = -3x3 + 3x² +…

A: Solution:Given  f(x)=-3x3+3x2+3x+6To find Stationary points of the given function:Formula:dfdx=0…

Q: The function f(x) = 6x + 9x¯1 has one local minimum and one local r This function has a local…

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Q: The graph of f(x) = mx - 3x - nx +5 has a relative maximum at (-1,12) and a point of (1 3) 2' 2…

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Q: Use the graph to state the absolute and local maximumand minimum values of the function.

A: Absolute maximum value= 5  Absolute minimum value= None (because there is an open circle at the…

Q: Consider the production function:  Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output…

A: The given production function: y=0.75x+0.0042x2-0.000023x3  .......1 Differentiate both sides with…

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 9. f(x) = 10x +…

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Q: A fast food restaurant hos a cost Production C(x) = ||x+120 and arevenue function R (x) = 5x,When…

A: Consider the profit function is P(x)=R(x)-C(x) when this function is more than 0 then company makes…

Q: Suppose f'(x) =x++x3– 6x². Determine the value of x where f has a relative maximum value.

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Q: Find a function whose graph passes through the point (1,2/e) and satisfies x^2y'=y.

A: Given differential equation     x2y'=y   and initial condition  at x=1,y=2/e

Q: Find the absolute minimum and absolute maximum of the function f(x) = (x2 − 1)3 defined on the…

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Q: Find the relative minimum and maximum of f(x)=(x+1)/(x^2+x+1).

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Q: : Find the critical points of the function f(x) = 5æ² – 10x. -

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Q: If f (x) - 2x - kex has a relative maximum at x = -2, then the value of his

A: Given  f(x)=2x-k.exNote: As there is no h in the equation it is assumed that we need to find…

Q: Find the absolute maximum and absolute minimum for the given function on the ir f(x) = x3 + 3x² – 9x…

A: Topic:- application of derivatives

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 0.01x²…

A: Given that the demand function is Px=5000.01x2+1. We have to find the number of accessories must be…

Q: identify the coordnates of any local maximum or minmum values of the function y=(x+3)2/ e2x

A: y=(x+3)2/ e2x Or, y = (x+3)2e-2x We need to find it's derivative and equate the same to zero.

Q: 3. Investigate the existence of local maximum and or minimum point(s) of the function f(x; y) =x -x…

A: Given: f(x, y)=13x3-x+xy2

Q: From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection…

A: From the function fx=x3-6x2+9x-3,To determine the monotony, maximum and minimum points, inflection…

Q: Consider the function f(x) = 4 – 7x², - 4 < x < 1. The absolute maximum value is and this occurs at…

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Q: Find the value for x for which the graph of y =2e reaches its first minimum value.

A: To find the value for x for which the graph of below equation reaches its first minimum value.…

Q: Find the maximum and minimum values attained by the function: f(x) = x +-

A: Here the given function as fx=x+5x or fx=x2+5x Differentiate with respect to x…

Q: Find all the critical points of  f(x) = 3x4 - 40x3 + 150x2 and classify each as a relative minimum,…

A: Find f'(x) using exponent rule.

Q: Consider the function f(x) = 5 – 4x² , – 4 < x < 2. - The absolute maximum value is and this occurs…

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Q: f has relative maxima at x = and x = f has an absolute maximum at

A: Given that : Graph of the function f on [ 0, 28 ]:

Q: 1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(12-…

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Q: Find the coordinates of the absolute maximum an d minimum points for f(x)=2x²-x* given x €[0,4]

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Q: Consider the function f(x) = 4 – 6x?, – 3 < x < 2. - The absolute maximum value is and this occurs…

A: To find The absolute maximum and absolute minimum values of f(x).

Q: Consider the function f(x) = 0s xs 2. 9x2 +1' This function has an absolute minimum value equal to:…

A: To find absolute maxima and minima on the interval [0,2] for the function: f(x)=-x9x2+1