f(x)% = x- 3x3 + 2x2-5x-7 at x = -1 %3D vnaud

Q: . Find the value of a that makes the following function differentiable for all x-values. Jax, if x…

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Q: increasing and decreasing. 5) f(x) = -x² +4 fx) -4 위

A: Given :  f (x) = - x 2 + 4    To determine : The intervals on which f (x) is increasing or…

Q: Find the value of the constant k that makes the function continuous.

A: A function is relation between set of inputs and output. The piece-wise function is a function which…

Q: Find the value of k that makes the function continuous. Justify your answer. 2x – 1, x 2

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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: Determine if the given function is continuous and differentiable at the indicated values of x. Show…

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Q: find all possible functions with the givenderivative. y' = x3

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Q: 4. Which of the following functions has a maximum value? a. f(x) = x- 3x + 4 b. f(x) = 2x + 5x + 3…

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Q: Which of the following functions has a lower absolute minimum? f(x) = 4Vx – 2 – 5 8(x) = 2x2 – 4x –…

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Q: find all possible functions with the givenderivative. y' = 1 - 1/x2

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Q: Given q(x)=x2 −x−1, find the absolute maximum over the interval [−3,5].

A: We have to  find the absolute maximum of q(x) over the interval [−3,5].  Function is given below:

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

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Q: If a and b are positive numbers, find the maximum value of f(x) = xa(5 − x)b on the interval 0 ≤ x ≤…

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Q: x+3 10. At which points do the functions y = fail to be continuous? If any, are x2-3x-10 the…

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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: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

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

A: the given function is: fx=x2-c          for x&lt;54x+2c      for x≥5 we have to find the value of c…

Q: find all possible functions with the givenderivative. y' = 2x

A: According to the question, we have to find all possible functions with the given derivative y'=2x.…

Q: Find the value of the constant & that makes the following function continuous on (-o, o). | 2x – 6…

A: fx=2x-6     if  x≤6-3x+b  if  x&gt;6 Since the function is a polynomial function for all x&lt;6…

Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Consider the given function,First find the derivative of the given function,

Q: The function f(x) = 12 – 6x* has an absolute maximum value of 0 and this occurs at æ equals

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Q: Find the maximum and minimum values of the function and the values of x and y where they occur. F =…

A: Let's solve for maximum and minimum value of function.

Q: find all possible functions with the givenderivative. y' = 2x - 1

A: Given y'=2x-1 that is  dydx=2x-1 Integrating with respect to x, ⇒y=x2-x+C Where C is the constant of…

Q: Find the linear function with f(1)= 3 and slope 6. Select one: O a. f (x) = 4x + 6 O b. f(x) = 6x -…

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Q: Find the absolute maximum of the function f(x) = x-x-x On the interval - 10 sxS2 (a) 14 (b) 13 (e)…

A: To find absolute maximum and minimu , first, we need to find critical points. These are the points…

Q: Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist,…

A: Given function, y=Fx=13x3-x2-3x+8 Used formulas, ddxxn=nxn-1ddxConstant=0ddxKf(x)=Kddxfx…

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: Given the continuous function x² + 10x + 8, x 0 If a line L touches the graph of y = f(x) at three…

A: The continuous  function  f(x) = x2 +10x +8,   x≤ -2 f(x) = ax2 +bx +c,   -2&lt;x&lt;0 and a≠0 f(x)…

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: show steps please.

A: We will find the first two derivatives of F(x) We use the fundamental theorem of calculus To find…

Q: f(x)%= V36-x² .2

A: In which interval f(x)=36-x2 is increasing and decreasing?

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: State the interval(s) over which the function is (a) increasing (b) decreasing (c) constant

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Q: Find the value for k so that the function will be continuous at x = 2. 4x + 16 if x 2

A: The function fx is continuous at x=a, if limx→a-fx=limx→a+fx It is given that fx=4x+16if…

Q: Find the absolute maximum and minimum values at the indicated interval f(x)=x^2-6x-3 ;[1,6]

A: Given function is: First find the critical points of the function by putting:

Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: Q3\ Determine if the given function is continuous or discontinuous at the indicated points 2_x x² +…

A: We have been given the function to us  2xx2+6x-7

Q: The interval in which the given function is decreasing is at y = x3 – x2 – 5x – 4

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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: find all possible functions with the givenderivative. y' = 4x - 1/√x

A: Giveny'=4x-1x  To Find: All possible function with the above derivative

Q: Find the critical point of the function f(x, y) = - 5 – x + 4x? + y + 3y? This critical point is a:…

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Q: Given h(x) = -2x² + x + 1, find the absolute maximum value over the interval [-3, 3].

A: To determine the absolute maximum minimum.

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: Find the absolute maximum value of the function. f(x) = 2(x – e*)

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

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

Q: Find a value for the constant k, if possible, that will make the function continuous. kox+1 for x 3

A: K = 1/3

Q: Given h(x)=−2x2 +x+1, find the absolute maximum over the interval [−3,3].

A: We have to find absolute maximum function  of h(x). h(x)  is given below