For what value of x does the function g(x) =-x - 2x strictly convex? 1 A. B. x 0 C. x -2 D.

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: For what value of x does the function f(x) = x - 9x - 120x + 6 have a local minimum? O A. 4 OB. 10…

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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: Given k E R, the function f(x, y) = kx² .2 %3D [A) a minimum point, if k = 0 (B) a maximum point, if…

A: Given,  fx,y=kx2+k-1y2+12xy Using second-order partial derivative, check for maxima and minima.

Q: The function f whose tangent has slope x3. +2 for each value of x and whose graph passes through the…

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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: For what value of x the function x2+y2 is minimum if x+y=20

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

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

A: Given: fx=x2+5x,  -4,0   To Find: The absolute extrema of the function on the closed interval.

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: At which r-values is the following function g differentiable? Explain and compute, where necessary.…

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Q: Find the critical points of the following function. f(x) = 5x? + 3x +2

A: Given,          The function is fx=5x2+3x+2.

Q: For what values of the numbers a and b does the function f(x) = axeba2 have a maximum value f(2) =…

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Q: p(x, y, z) 4 – x² – y²

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Q: If f is the linear function f = 3x - 1, what is the value of ? dx

A: Given: f(x)=3x-1 To find out: df/dx

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

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Q: For what values of  r does the function satisfy the y =  e rxequation  y"  + 6 y'   + 8y  =0?

A: Given function y=erx To find value of r which satisfy the equation y"+6y'+8y=0 Solution:…

Q: For what value of X does the function f(x) = x³ – 9x² – 120x+6 have a relative minimum? A 10 В) 4 3

A: f(x)=x3-9x2-120x+6

Q: For what values of the numbers a and b does the function f(x) = axebr have the maximum value f(2) =…

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

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Q: State the interval of the function g(x) = E-x is %3D

A: The given function is gx=32-x  exist in the interval (-∞,32] and does not exist in any other…

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

A: Givenf(x)=1x+6

Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: For what value x does the maximum or minimum of f(x) occur? Is the point a maximum or 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: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Consider  y=e9−x2−2

Q: For what value of X does the function f(x) =x² - 9x² - 120x +6 nave a relative minimum? A) 4 10 -4 3

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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 optimal values ​​of the function f (x, y) = 4xy + 5. Subject to the restriction x ^ 2 + y ^…

A: Consider the objective function as fx,y=4xy+5 subjected to restriction equation x2+y2=18. Let the…

Q: The function f(x) = x3+Ax+B has a stationary point at (-2,3). Find the values of A and B .

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Q: Consider the function f(x)=(x+1)(x–1)2, At what value of x will the graph of f cross the y-axis?…

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Q: Consider the table of values for the function. y f(x) 1 1 4 4 What is the value of AR)? 3. 4 2

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

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: Use the graph of y = f(x) to graph the function g(x) = 2f(x- 1) + 1. y- f(x) AY

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Q: Consider the tables of values for the two functions shown. y = g(x) -2 y = f(x) -2 1 1 2 1 3 -1 1 4…

A: Problem is of relation and function. First we'll calculate g(-1) value and then we will substitute…

Q: Where does the relative maximum value off occur when f'(x) = x³ - x? (а). - 1 (b). 0 (с). 1 (d). 2 a…

A: Relative maximum

Q: Sketch the level curve of the function f(x, y) = x² + y? 2 for c = 1.

A: Level curve:  The level curves of a function f of two variables are the curves with equations f (x,…

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

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Q: For what value of x does the function f(x) =x 4x attain the absolute maximum %3D in the interval…

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Q: Given the function P(x)=(x−2)(x−4)(7x+1) Its y-intercept is   Its x-intercept(s) is/are     When…

A: Solution:-

Q: For the function f(z) = ¹, the point z 1-e Z = 0 is

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Q: 13. For the function f(x) = (x – 2)2 + 4 where is the function: a. increasing? b. decreasing? c.…

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Q: Please

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

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Q: Sketch the level curve of the function g(x, y) = x + y? for c 36. 4- -10 -9 -8 -7 -6 -5 -4 -3 -2 -…

A: Level curve