(1 point) Find a and b so that the function 6x - 8x? + 5, a <-2, f(x) ax + b, I > -2 is both continuous and differentiable.

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Q: Consider the function f (x) = -7x² – 14x – 6 on the interval [-3, 2]. Find the absolute extrema for…

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Q: *The interval [a, b] for a function x^3 - 4 x- - ...... 9 = 0 is [2,3] O [0, 2] O [0, 1] O [1, 2] O

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Q: Find the absolute maximum coordinate and absolute minimum coordinate of the function below on the…

A: Given information:The given piecewise function is show below:

Q: F(x)=6x^3-216x+9 [-4,5] Find the absolute maximum and absolute minimum values of f on the given…

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Q: |(2) = { = 1 points are the functions continuous? 3x-5 , ifx 1 .ifx 1 1. 2 2. h(x)

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Q: 3. State where the function below is continuous using interval notation. if x<2 4 f(x) = 3 if x 2

A: To check whether the given function is continuous using interval notation.…

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Q: Consider the function f(x) = 2x - 9x? - 24x + 9 on the interval [-2, 5]. What is the absolute…

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Q: Let f(x) = 3 + 27x – x³.

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Q: Find the intervals in which the function f(x)=-2x - 5x* +15 is increasing/decreasing. Also find the…

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Q: Find the intervals on which the function is continuous. x+5 y = (x-4)(x-3) (х-4)(х-3)

A: y is continuous on (−∞,3)∪(3,4)∪(4,∞)

Q: Use second derivative test, If f(x): 3 - 25x + 9 then f(x) has a local maximum at the point = 6 -5…

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Q: 1) If possible, give an example of where a function is differentiable at a point but not continuous…

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Q: Consider the function f(x) = 2x° + 9x² – 108x +1 with - 6 <x < 4 | This function has an absolute…

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Q: Tutorial Exercise Find the derivative by the limit process. f(x) = 12 – x² .2,

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Q: The point (2,f(2)) is an inflection point .1 for the function f when f(2) = 0 %3D

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Q: Which of these is fixed point equation for f(x) = x*+5x²-x-3. O f(x)=-x = x*+2x²-x-3 O f(x)=|x |=…

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Q: 12) Find the coordinates of the absolute maximum and absolute minimum of f(x) = x^3 + 3x^2 - 9x +3…

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Q: [6 – 2x, \x² - 8, xS 3 x > 3 f(x) Where are the intervals where the function is continuous? Are…

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Q: Find the exact location of all the local and absolute extrema for the function, Ax) = x - 6x- 10…

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Q: R(x)= ex-1

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A: Here is the solution:

Q: (5 points) Suppose that f(x) is differentiable everywhere and that f'(x) > 5 for all x. If f(10) =…

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Q: Find the maximum and minimum values of the function f(x) = x/3 10z/3 on the interval [- 3,3]. 26 13…

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Q: Find the domain of the function. Give your result in interval notation. f(x)=7/1-2e^x

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Q: At the point x = 2, the function J x-2 -< rs2 -8 2<x< f(x) = is (a) continuous and differentiable…

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given that a function f(x)= x2 + ax + b . And local maximum at point (17,-5) we find the value of a…

Q: 2х-3 Find the interval of f (x) = 5-4х that will make the function continuous

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