4x - 1 Let t f(x) = { ' - 6x + b if x ≤ 5 if x > 5 If f(x) is a function which is continuous everywhere, then we must have b =

Q: h(띠)= Jo 2+t+2 h(피) t2 +t+2 2)

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Q: If you restrict the function f(x)=x^2 to the set [0, 1], what are it's fixed points and its inverse?

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Q: Prove algebraic ally that any function of the form f(x)=ax2n+4 (where n is an integer) is symmetric…

A: The given function is fx=ax2x+4. To prove fx=ax2x+4 is symmetric to the y-axis, it is enough to…

Q: find the absolute extrema of the function f(x) = x^2 - 6x on the intervals [- 1,6], (3,7], (0, 6),…

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Q: Find the point on the graph of z = f(x,y) =x+ y closest to the point (2,2,7). You must show a…

A: Given : z=fx,y=x+y2,2,7.

Q: (-3 if z 2

A: Here is a step by step solution of the problem. We have proved discontinuity at x=2 by evaluation…

Q: The graph of function f(x) = x³ 6x2 + 9x + 1 is concave upward on (-∞, 2) (-0, 0) (2, оо) о (-2, 2)

A: f is concave up when f''(x) is greater than 0

Q: Q9- Find the turning points of the function f(x,y)=x^2+ 2xy and state whether the points are max,…

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Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

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Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: 27. Let / and g be continuous and differentiable functions, each with a domain the set of all real…

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Q: 4) Find fog, gof , f+g and fg where f (x) = x^2 + 1 and g(x) = x + 2, are functions from R to R

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Q: Suppose that the average number of M= (32+27t)/(2t+7) where t is the number of days on the (a) Is…

A: Given that: M=32+27t2t+7 Simplify it. M=27t+322t+7=272-1252t+7

Q: f(x) = x(6 – x)-

A: Given :f(x)=xa(6-x)b 0≤x≤6