For what value of x does the function g(x) -x³ - 2x2 concave downward? A. x -1 В. C. x -2 D. x< 2

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: For what value of x does the function g(x) - 2x? concave downward? А. x2 -1 x 2 0 С. x 2 -2 D. x< 2…

A: The derivative of a function gives the slope. When the slope continually increases, the function is…

Q: At what value of x does the function f(x) =x-2 x change from decreasing to increasing?

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Q: Suppose ƒ is an even function and Evaluate

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Q: Consider the functions :  f(x)=√x and g(x)=x-1 Solve for- (f°g) (x)

A: Given:

Q: (b) Determine the domains and range of this function: y = v1 -x-

A: The given function is y=1-x2 the domain of the function is -1≤x≤1 In the interval notation the…

Q: If f is a function defined by the equation y = f1x2, then x iscalled the variable, and y is…

A: Given: If f is a function defined by the equation y = f(x), then x is called the _________ variable,…

Q: At what value of x does the function f(x) = 3 x- x change from decreasing to increasing? %3D

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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: Find the critical values of the function below. **x-24x? 8 -x³–24x² f(x)

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Q: Given the function f(x) = x(x – 3)(x + 2), find 1) its y-intercept: 2) its x-intercepts: 3) As x →…

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Q: For what values of x does the graph of f(x) = 2x³ – 9x? – 60x – 3 have a horizontal tangent line?…

A: Given,          fx=2x3-9x2-60x-3 have a horizontal tangent line.

Q: Locate the discontinuities of the function. 2 f(x) = 1 + e7/x

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Q: Find and classifythe extreme Point of the function f(x,y)= 3yx+x -3*2

A: Given function,  fx,y=3y2x+x3-3y3-3x2+2 Partially differentiating w.r.t. 'x' to both sides-…

Q: Find all values of x such that the slope of the line tangent to the graph of f(x) is 0: f(x) = 3x* +…

A: Given : f(x)= 3x4 +4x3-36x2+6343

Q: For what x-value(s) is this function not differentiable? x² – 9 f(x) x + 3

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

A: A function fx is continuous at x=a if its left-hand limit, right-hand limit, and fa are equal and…

Q: For what value of x does the function g(x) 2x concave downward? 1/3

A: The function is concave downward when  f '' (a) &lt; 0  at x = a

Q: Find the net change in the value of the function between the given inputs. f(x) = 3x - 2; from 1 to…

A: f(x)=3x-2now we have to find the net change in the value of function from 1 to…

Q: Given the function f(x) =4x³– 39x²+90x +2, which of the following describes its absolute extrema at…

A: Given that, The function is following, f(x) = 4x3 - 39x2 + 90x + 2 We have to find the absolute…

Q: Find the points of inflection of the function f(x)=e−x2.

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Q: Find the value of a that makes the following function differentiablefor all x-values

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Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

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Q: 2. Use the graph of the function f(x) to estimate where (a) f'(x)= 0, y f(x) (b) f'(x) 0.

A: (a) f'(x) =0   =&gt; the slope is zero, it means when the graph is parallel to x-axis  i.e. at…

Q: 7) Find the difference auotient. f(x+h)-f(x) for the function, f(x) = x² + 3x - 4.

A:

Q: A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of…

A: Given,           A company has found that its expenditure rate per day in hundreds of dollars on a…

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

A: Given function - f(x) = x3+6x2To find the absolute extrema we need to find the critical points…

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

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Q: Find the net change in the value of the function between the given inputs. f(x) = 4 - 5x; from 3 to…

A: To find net change in the value of function: f(x)=4-5x;from 3 to 5. Solution:…

Q: If x is large, which function grows faster, f(x) g(x) = x2? %3D

A: The given function is fx=2x   and  gx=x2

Q: For what value of x does the function f(x) 4x attain the absolute minimum = in the interval [-3,5]?…

A:

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

A: the given function is: fx=x3+3x2+x+3 we have to determine for what values of x does the graph of…

Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

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

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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: What happens to the function f (x) = 1 + as x approaches to zero.

A: The definition of the function gx=x is given by, gx=x for x≥0=-x for x&lt;0 Thus, the left hand…

Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

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

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Q: Given the function f(x)=x² -2x+7, what is its average rate of change over the interval 2 <x< 10 ? O…

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Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = 5x° –…

A: Given function is f(x)=5x3-5x2+2x+3

Q: Q1/ Find the local extreme value of the function F(x.y)=4xy – x* – y*

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Q: Find the absolute extrema of the function on the closed interval. F(x) = x³ -?, (-1, 4] 2

A: Given,            fx=x3-32x2 , -1,4To find : Find the absolute extrema of the function on the closed…

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: Find the net change in the value of the function between the given inputs. f(x) = 4-5x; from 3 to 5

A: We want to calculate net change in given function from 3 to 5.

Q: For what value of x does the function f(x) 4x attain the absolute minimum in the interval [-3,5]? А.…

A:

Q: Evaluate the slope of the function: a. f(x) =x^2 + x - 2                              at x = -1.5…

A: Here we have to find the slope of the given different functions.

Q: Find the local extreme values of the function y = x + x- & + 5

A: Given function f(x) = x3+x2 - 8x + 5 f'(x) = 3x2+2x-8 f"(x) = 6x + 2 By Second derivative Test,…

Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the…

Q: The function y is discontinuous at x equals? x+2

A: Given function is: y=x-4x+2

Q: he function f(x) = 5

A: Here we have to find the interval at which function f(x)=5x-ex is increasing.