Find the values of a and b that make the following piecewise function differentiable

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 values of m and b that make f differentiable everywhere. if x 6 f(x) Imx + b m =

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Q: Q.5 Find the absolute maximum and minimum values of f(x) = x³ – 3x2 – 9x + 25 over the closed…

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Q: If a and b are positive numbers, find the maximum value of f(x)= xa(9 − x)b on the interval 0 ≤ x ≤…

A: To find the maximum value of f(x)

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: The overage value of f(x) = S interval 1E x 45 is? [2 x-3 2x-1 x23 on the

A: Given that f(x)=2         x<3x-1   x≥3 To find the average value of f(x) on the interval [1,5]:…

Q: Determine whether function f is differentiable at x = 0. f(x) = 8x3 If the function is…

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Q: Suppose you have a function y = f(x) such that the domain of f(x) is 1 ≤ x ≤ 5 and the range of f(x)…

A: Given: The domain of fx is 1≤x≤5 The range of fx is -3≤y≤6

Q: Find all absolute maxima and minima values for the function y=x^2+(54/x), on the intervial [1,108]

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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 f(x)= 4x^2-4/x^2+5x+4 find the x-value of the removeable discontinunity of the function

A: Given fx=4x2-4x2+5x+4

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: Зах + 3 for x -2

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Q: 3.) For the functions f (x) = v16 – x and g(x) = 2x – 8 find (x) and give its domain in interval -…

A: It is known that fgx=fxgx.

Q: At what number is g differentiable? 2x if xs0 g(x) ={ 2x–x² if 0<x<2 2 - x if x22

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Q: Find the antiderivative of the function f(x) = 8x³ – 18x2 + 14x - 4 that satisfies f(0) = 0. ANSWER:…

A: Given the query is to find the antiderivative.

Q: Determine the concavity and the x values where the points of inflection occur for :  y = x + 1/x -…

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Q: Find constants a, b and c such that the function f(x)= ax³ +bx²+c will have a local extremum at (4,…

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Q: Find the value of a, b, c and d if f(x) is differentiable (asinx – bcosx + x f(x) = x2 + 3 4 > x > 0…

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

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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: 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: If a and b are positive numbers, find the maximum value of f(x) = x(8 – x)º on the interval 0 < x <…

A: Given: f(x)=xa(8−x)b To find the maximum value find all the critical points. Critical points are…

Q: Find the values of x for which the function f (x) = x −7/x^2 + 3x −70 is continuous.

A: Topic:- function

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: Q. 4 Find the absolute maximum and minimum values of f(x) = x³ + 5x2 – 7x over the closed interval…

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Q: Determine the values of a and b which would result in the function f(x) being differentiable at x =…

A: We need to determine the value of a and b which would result in the function fx being differentiable…

Q: 1 f(x) = x* – 16x + 1 Determine where the function is concave up and concave down. Enter your…

A: We know, When the slope of a function continually increases, the function is concave upward. When…

Q: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2)

A: The given function is: fx=lnx4x To find the first derivative of this function, apply the quotient…

Q: If a and b are positive numbers, find the maximum value of f(x) = x²(6 – x)5 on the interval 0s xs…

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Q: Calculate R3 and L3 for f(x) = x² 5x + 3 over [1,4]. (Give your answers as whole or exact numbers.)…

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Q: Find the absolute extremum values of f(x) = x² – 3x + 8 over the interval [1, 3].

A: First we find critical value and then use first order derivative test.

Q: X+1 5) Is the function given by f(x) x2 - 8x + 15 continuous at x = 3? Why or why not?

A: f(x)=x+1x2-8x+15

Q: Find the local extremum  f(x)=x^4-8x^2+12

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Q: Find the values of c and d that make the function 6x if x 2 continuous. с — d =

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Q: Solve f(12) for f(x) = x+ 13 %3D f(12) = [ ?] %3D

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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: For what value of the constant c is the function f continuous on (-0, ∞)? ( cx2 + 8x if x < 5 f(x)…

A: Given f(x) = cx2+8x   if x&lt;5x3-cx  if x≥5               we find the constant C is the function f…

Q: Find a and b so that the function 2.3 – 5x² + 2, x -2 f(x) = ax + b, is both continuous and…

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Q: For what value of x does the function f(x) =x³ – 4x attain the point of inflection in the…

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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: where

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Q: If a and b are positive numbers, find the maximum value of f(x) = xa(8 - x) on the interval 0 < x <…

A: Find the maximum value of f on the interval

Q: Find the value of constant K that makes the function below continuous at x = 4. x2 - 4x X< 4 f(x) =…

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Q: If a and b are positive numbers, find the maximum valueof  f(x)  = x a (1  - x)b, 0 ≤ x  ≤  1

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Q: Given that f(x) = 2x-2n + 8x², what value should be assigned to n to make f a function of degree 3?

A: Given f(x)=2x-2n+8x2. We need to find what value of n makes f(x) a function of degree 3.

Q: This extreme value problem has a extreme values of the function sub f(x, y) = 4x + 8y, x2 maximum…

A: Method of Lagrange's multiplier: The Lagrange multiplier method is a straightforward and elegant way…