if f(x) is continuous on [a, b], then we can always say that: Select one: O True O False a b a f(x)dx| = | ſª f(x)dx| b

Q: . Let f(r) = 3r² – 12.r.

A: Given function is : fx=3x2-12x We have to find fh+1 In such case we need to put that inside…

Q: Is the following statement correct? If the function is continuous on R then the constants a and b…

A: It is not necessarily correct that every continuous function on R take the value 2& -2…

Q: /hich functions are continuous for all real numbers? i.y = xi ii. y = e* iii. y = tan x

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Q: ,if x>2 Find the correct value of bb that makes

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Q: Determine whether the following function is continuous at the given point x = 3 За? + 17х — 6 1 -…

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Q: 3. Let f : A → B. Then 18f = f and f1a = f. Hint. You may use the fact that fg, for functions f, g,…

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Q: For what value of a is x² -1, x< 3 f(x) 2ax, x2 3 continuous at every x?

A: Given function is Since, f(x) is continuous at every x, so f(x) is continuous at x=3.

Q: S) Let f(x) = {x² –a²x if if x 2 . Find all value(s) of a that make f - ontinuous at 2. Justify your…

A: Given query is to find the values of a for which f(x) is continuous at x = 2

Q: Determine whether the following function is continuous at the given point r = 3x2 + 17x -6 1 f(x) =…

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Q: Determine whether the following functions are continuous at x = 2: 17x + 3 13x +7 x<2 f(x) = x22

A: In calculus, a function is continuous at x=a if and only if all three of the following conditions…

Q: For what values of x are the following functions NOT continuous. 4x² – 17x + 15 (x) = Vx² – 25 b.…

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Q: 4 For what value(s) of x is the function f(x) x2 -x-12 NOT continuous? A. x= 3 and x = -4 B. x = 4…

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Q: Show whether or not the following function is coercive: f (æ1, æ2) = e*i + e*ž – a200 – ažº ,200 %3D

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Q: f(x) = 2 ≤ 2

A: f(x)={6x,, if x&lt;1ax2+b, if 1≤x≤27x, if x&gt;2