, x<5 kx? -24x+ 46 , x>5 X- 4 Given: f(x) = , find the value of k that will make f continuous on (-x, | kx² – A © -4 D none of the given choices E

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Q: x≤2 Q3. Find the value of k so that f(x)=(x², k-x², x>2 is continuous at x = 2

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Q: (12|+ 3, if xs-3 Let f(x) ={ -2r, if -3 <x < 3 6r +2, if x2 3. Show that f(x) is continuous at x =…

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Q: a. Find the value of (k) that make fhe fimction contimuous at x = 0 3k -3 =0

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Q: 8 2. Find the absolute extrema, if they exist, as well as where they occur for f(x) = 2x + + 1, x >…

A: Given function  f(x) = 2x + 8/x2 + 1      , x&gt;0  To find the absolute extrema, let's find the…

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Q: 11. Suppose that f(x) is differentiable everywhere and we know that f(-4) : f'(x) > 6 for all x. -2…

A: Part a) To find the least possible value of f(3), By the mean value theorem, Suppose f(x) is…

Q: х-4 ,x5 A 5 (B) -4 O 3 (E none of the given choices

A: Given, f(x)=x-4, x≤5kx2-24x+46, x&gt;5

Q: х — т %3D 1— тх if x < 3 if x 2 3 Find m so that g(x) = | Is continuous for all x?

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Q: 1. Determine the absolute extremum values of f(x) = x? / 2x + 4 on [-3, 1].

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Q: -2 x< -1 Q1)a) For what values of a and b is g(x) = ах — b -1<x<1, x21 Continuous at x= -1

A: The suitable formula for continious       LEFT HAND LIMIT = RIGHT HAND LIMIT

Q: 1) Find the value of C that make the function continuous at x=1? f(x) = { -x l6 - 2x? %3D x>1 2)…

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Q: 43) For f(x) a) Give the domain of f b) Evaluate (-2), (0) and /(3) c) Graphf d) Is f continuous on…

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Q: f(x)= -2x+3 if x>-1 it メニー」 3+ ax2 if xc-1 if xa-I Is the fanciono continuous at x>-1?

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A: A given function is continuous for every value of x if

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Q: a): Find the value of k that makes function continuous at z = 4 (3x +7 z> 4 3x-k I<4 f(x) =

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (3 – x if x < 2 if x 22 - 4. f(x) = { is discontinuous on the interval (- 0, 2] %3D -3

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Q: 7. Find the value of K that makes the function f(x) = (x² + 2 , x > 5 (x² – xk – 3 , x< 5 Continuous…

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Q: 3x(x-1) x-3x+2 -3 if x 1,2, if x 1, if x 2. Suppose f(x) = Then f is continuous 4. OA at each real…

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Q: Q8. Given f(x) = 3 2x – 1 if x1 if x21 - (a) Determine f-'((2,4)).Then discuss the continuity of…

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A: From  the given problem:   gx=-2x≤-1ax-b-1≤x&lt;13x≥1     As we know that a function f(x) is…

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A: Topic = Limits

Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax - b -1<x<1, 3 x21 Continuous at x=0

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Q: Find the value k that makes the function continuous. kx 10, x 10 M > f(x) = _ 4x + 10, x < 10 Submit…

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Q: 2. Define a function 6x2-x-15 3x-5 f(x) = |k, 3 (a) Find a value of k so that f(x) is a continuous…

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Q: Find the absolute maximum and minimum values of f(x) =z-3x2 +2 nterval -1, 1]. Hint: be sure to…

A: Given query is to find the absolute maximum and minimum for f(x).

Q: 2. Find the value of k so that the function defined ( x2 + 4 x 2 - x = 2.

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: 3. f(x)= A. True B. False 4x²-5, x≤4 is continuous and differentiable everywhere. 32x-69, x>4

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Q: 42) For f(x)= x-1 if 03x S 3 a) Give the domain of f b) Evaluate (-2), 0) and /(3) c) Graphf d) Is f…

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Q: 5x +1 is not continuous. Find a value of x, if any, at whichf(x) %D 25x + 10x + 6 Enter your answers…

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined points take…

Q: The function f(x)=(a-x)2/3 has domain R and only one critical point x= a. Use a number line to find…

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Q: 2x Given f(x)= x? +1' XER. Prove from definition, that (--0, –1), (1, +∞) the function f is…

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A: 4. fx=x2,if x≤12x,if x&gt;15. y=f(x)=x2-3x

Q: 22 + a For what value or values of k is f(x) = ka + 3k - 5 continuous at a = 5?

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined point, take…

Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x 3 a 3D

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Q: 6x + 7, on the Find all absolute and relative extreme values of the function f(x) interval [1, 4].…

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Q: Q-2: For what values of a, m and b does the function: x<0 f(x) = }-x² + 3x + a, 0<x < 1. 1<x< 2 3,…

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