Find the relative maxima and relative minima, if any, of the function. (Enter your answers as a comma-separated list. If an answer' does not exist, enter DNE.) f(x) = 3x4 - 10x3 + 10 Relative maximum value(s): Relative minimum value(s):

Q: The average cost per hour in dollars of producing x riding lawn mowers is given by the following.…

A: We have to find - the number of riding lawn mowers to produce in order to minimize average cost,…

Q: Find all the local maxima, local minima, and/or saddle point(s) of the function f (x, y) = x² – 5xy?…

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Q: Examine the following functions for maxima-minima and trace the curve a. Y=x* + 1 a?x b. Y= a² –x²

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Q: The function f(x) = 2x²-3x+ k has a minimum -Find the value of k. 8. value of-

A: The function fx=2x2-3x+k has a minimum value 78. We have to find the value of k.

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

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

A: According to question given that f(x)=-x2+8x+4 on [6,9]

Q: Q3/ Find all the local maxima, local minima, and saddle points of the function: f(x.y) = 7+ 2y² – 1

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Q: (a)Find the inflection point(s) and (b) local minimum and maximun f(x)=x4-50x2+6

A: forcriticalpoints.

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x° + 4x² – 3x – 3 at x = -4.

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Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 6, (15,…

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Q: Does the function f(x, y) 2 + 6y3 + 5y? – 4x have a global maximum and global minimum? If it does,…

A: Let us first evaluate the partial derivatives of the given function as shown below:…

Q: Given that f is a quadratic function with minimum f(x) = f(1) = 3, find the axis, vertex, range and…

A: Given, f is a quadratic function with minimum f(x) = f(1) = 3. We have to find the axis, vertex,…

Q: 10. f(x) = x³ + 1

A: Here, the given function is: f(x)=x3+1 Here, the y-intercept is (0,1) and no x-intercept is (-1,0)…

Q: Use a graph and technology to find any local maximaand/or minima of the function y = x2 + 3/1 - x .

A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate…

Q: Find the intervals of increasing/decreasing of the function and also find the local maxima and local…

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Q: Use the function’s equation, f(x) = -x2 + 14x - 106 and not its graph, to find; a. the minimum or…

A: we have been given  f(x) = -x2 + 14x - 106 we have to tell the minimum and maximum value . also we…

Q: For Exercise, identify the location and value of any relative maxima or minima of the function. 2 y…

A: A relative maximum is a point where a curve goes from increasing to decreasing.  A relative minimum…

Q: Find all values of x, if any, where the function f(x) = x5 - 5x3 - 20x - 2 has local maximum and…

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 2x3 + 8x² – 3x – 6 at x = -2.

A: 1. find the y coordinate by putting the value of x in the function. 2. Find the first derivative of…

Q: Use the function’s equation f(x) = -x2 + 14x - 106, and not its graph,to finda. the minimum or…

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 7x2 – 4x – 3 at z = -5.

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Q: Approximate the curve of the given function f. f(x) = x³ – 6x² + 20 Answer the following: Minimum:…

A: Topic = Functions   Maximum (0,20) Minimum (4,-12)

Q: For what value of X does the function f(x) = x³ - 9x² – 120x+6 have a relative minimum? А) 10 В) 4 D…

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Q: 5. Find all relative maxima of the given function. y =x* -8x' +16x² +3

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

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Q: a company that makes and sells digital cameras has found that the total weekly cost of producing…

A: We have given the cost function C(x)=0.5x^2-210x+26250

Q: (d) Find the interval where the graph of y = x³ + 2x² – 4 is decreasing and concave - up.

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

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

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Q: Examine the following functions for maxima-minima and trace the curves. a. Y = x* +1 a²x b. Y=-…

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Q: find out the concavity, points of inflection, local maxima and minima and sketch the curve of the…

A: Given function is: y=x2-10x4 Then we get, dydx=4x2-10x3×2x-10dydx=8x3x-5x-103 The function has its…

Q: The extremum of f(x) = -5x2+4x+17 is a minimum.

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Q: For what value of X does the function f(x) = x³ – 9x² – 120x+6 have a relative minimum? (A) 10 (в) 4

A: solution is given below .

Q: b) Find all points of local maxima and local minima of the function f(x) = x' – 3x + 3.

A: We use application of derivatives to solve this problem.

Q: Use the function’s equation .f(x) = 2x2 + 12x + 703, and not its graph,to finda. the minimum or…

A: Given function is fx=2x2+12x+703. We know that if fx=ax2+bx+c then maximum or minimum value occurs…

Q: The value of a timber forest after t years is V(t) = 444 t - 37t (for 0 sts 50). Find when its value…

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Q: Find the point on the graph of f(x)=4−x2 that is closest to the point (0,1).

A: To find the point on the graph of fx=4-x2 that is closest to the point (0,1)

Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

Q: Locate all relative maxima, relative minima, and saddle points, if any. f(x, y) = 8x² + xy – 2y – 2x…

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

A: The answer is given below

Q: Find all the local maxima, local minima, and saddle points of the function.…

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Q: Find the relative maxima and relative minima, if a does not exist, enter DNE.) f(x) = 3x - 10x³ + 10…

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Q: Find the maximum of Q=xy if x+y= 56. The maximum value of Q is Q =

A: Given that x+y = 56 And Q = xy We have to find the maximum value of Q.

Q: 3. f(x)= x² + 3

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Q: A printed poster is to have a total area of 567 square inches with top and bottom margins of 6…

A: Given: In the printed poster is to have a Total area = 567 square inches  The top and bottom margins…

Q: If f(x)=-(x² – 4), find (a) The x-intercept and the y-intercept (b) The interval where the function…

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Q: f(x) = x³ +7x² - 5x

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Q: Use the function’s equation, f(x) = 2x2 + 12x + 703 and not its graph, to find; a. the minimum or…

A: The function is given as, fx=2x2+12x+703 a. Solve for the critical point as,…

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

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