y = x* – 4x +1

Q: The value of a timber forest after t years is V(t) = 434Vt - 31t (for 0 sts 50). Find when its value…

A: Given,  V(t)=434t-31t

Q: X~N(22,3) find maximum of x in bottom quartile

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Q: find the minimum and maximum value of the function on. the given interval by comparing values at the…

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Q: Find the critical points, domain endpoints, and local extreme values for the function. y = 4x/16 -…

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Q: Find the critical points and determine whether they are minima, maxima, or neither. f(x) = x 3 - 4x…

A: We have to find the critical points and we have to determine whether they are minima, maxima, or…

Q: Find the minimum and maximum value of the function on the given interval by comparing values at the…

A: we have to find the minimum and maximum value of the function on the given interval by comparing…

Q: find the minimum and maximum value of the function on. the given interval by comparing values at the…

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Q: Consider the following. Kx) = 3+ 4x -* Find all relative extrema. (If an answer does not exist,…

A: Relative maxima and minima

Q: Find the critical numbers and determine whether they yield relative maxima, relative minima, or…

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Q: find the orthogonal trajectories of the family of curves x2+y2=a2

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Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = 3xy, subject to x + 2y = 32

A: Given f(x,y)=3xy , subject to x+2y=32 To find the relative maxima: x+2y=322y=32-x⇒y=32-x2 Hence,…

Q: Locate the critical points, and determine the maxima and minima.   y = 2 + 12x - x3.

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Q: Find the critical points of the function f(x, y) = 8y³ +12x² – 24xy and classify them as local minin…

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Q: Perform one iteration of the steepest ascent method to locate the minimum of f(x, y) = 4x + 2y +x? +…

A: given function fx,y=4x+2y+x2+2xy-3y2 with initial guesses x0=0,y0=0 claim- perform one interation of…

Q: if y=x to the 3rd power - 3x. find the maximum value of y? -1

A: Given

Q: Determine the orthogonal trajectories y-3x+1=ce 3x

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Q: 3. Find the relative extrema using any method. f(x) = (3xe*)².

A: A function f(x) has relative extremum at a point x=a if f'(a)=0. We first find the derivative of f…

Q: Find the critical numbers and determine whether they yield relative maxima, relative minima, or…

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Q: Determine the critical points of the function f(r, y) = 4x +4y + x²y+ xy? and whether they are local…

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Q: Find the relative maximum and minimum values. f(x.y)= 8xy-x - 4y

A: Given :f(x,y)=8xy-x3-4y2

Q: Find all critical points on the curve r – 9x + 1. For each critical point, determine whether it is a…

A: (6) Given curve is fx=x3-9x+1. To find critical points, we need to find first derivative and then…

Q: Q2/ Find the orthogonal trajectories of the family of curves x-y - c² YAS

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Q: Find the critical points and sketch the curve Find the critical points y = 4x (x³ – 2x2 + 2)

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Q: What values of a and b maximize the value of ! (7x-x) dx? a

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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: find the critical points and determine whether they are minima, maxima, or neither f (x) = x3 − 4x2…

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Q: Locate the critical points, and determine the maxima and minima. y = ( 2x - 1)2

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Q: Find all the local maxima, local minima and saddle points of the function f(x,y)=3+2x+2y-2x2-2xy-y2

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Q: (x, y) = 2x³ + 7y³ + 5x² – 5y² – 3 ocal maxima are none ocal minima are none addle points are none

A: Given :                 f(x,y) = 2x3 + 7y3 + 5x2 - 5y2 - 3              Then,…

Q: 2. Find an equation and sketch the graph of the level curve of the function f (x, y) = 16 – x² - y2…

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Q: b. Find the orthogonal trajectories for the family of curves x² + y² =C².

A: we have to find the orthogonal trajectory of the given family of curve

Q: Find the critical points and determine whether they are minima, maxima, or neither: f (x) = x2/3(1 −…

A: Given: fx=x231-x

Q: x' 5х + 2у y' — 20х — 5у ||

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Q: Find the critical points and determine whether they are minima, maxima, or neither: f (x) = x2(x +…

A: Given f(x)=x2(x+2)3 differentiate the function to find the critical points.…

Q: The function f(x, y) = 2x³ - 6x + 6xy² has: Select one: O One minimum One maxima and one saddle…

A: Topic:- application of derivatives Note :- as per our guideline if more than one question uploaded…

Q: Locate the critical points, and determine the maxima and minima. y = x2(x - 2)2.

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Q: Find the critical numbers of the function: g(t)= |4t-5| Thank you!

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Q: Y = 0.75X + 0.0042X2 – 0.00023x3 At what level of X, the output will be maximum?

A: Given: .

Q: Locate the critical points and determine whether maxima, minima or inflection point. b. у %3D (x —…

A: Here we will find critical points and determine maxima, minima or inflection point,

Q: 2. Locate the critical points and determine whether maxima, minima or inflection point. 2a?y = 8x²(x…

A: From the given function: 2a2y=8x2x-2a So, we can simply write as: 2a2y=8x2x-2ay=8x2x-2a2a2 We know…

Q: Find the critical number of the function. g(t) - | 2t - 5| t =

A: Given,    g(t) = | 2t-5 |   For critical points,  Make modulus to zero.    So,  2t - 5 = 0 t = 5/2

Q: Find all critical points of f(x,y) = y²x – 2x² – y² and classify them as relative minima, relative…

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Q: Find the minimum and maximum of the function y = x' - 9x? + 17 on [1,9] by comparing values at the…

A: For maximum and minimum values check the values of the function at the critical and the endpoints.…

Q: Locate the critical points, and determine the maxima and minima. y = x3 - 3x2 +4x + 5

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Q: determine all critical points for the function: y = x^3 + 9x^2 - 48x + 10

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Q: Find the orthogonal trajectories of the family of curves x2+y2=a2

A: We have to find the orthogonal trajectories of the family of curves x2+y2=a2.

Q: Locate the Critical points and determine the maxima & minima of y = 4x² + 16х + 9.

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Q: Test z = x2 + xy + y2 - 4y + 10x for maxima and minima

A: Given the function z=x2+xy+y2−4y+10x

Q: Find the critical point of the function f(x, y) - 4+ 7x – 5x² + 6y + 7y?

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Q: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

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