人 そはっけ)ことス,ソフ ク=ム Cうk CurlF 支ド = 22 ズ 0y a2 %3D -> (-出)5+ (号-)k !! よいF (ス)+ C)+塩(の)こ2 ニ Find a function f such that F=of

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Q: 3)Verify Rolle's Theorem for the function f (x) = 2x² + 3 defined over the interval -5, 5]. Justify…

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Q: 3) Verify Rolle's Theorem for the function f(x) = 4x² + 6 defined over the interval [-5, 5]. Justify…

A: Rolle’s Theorem has 4 conditions to be proved.

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Q: Exercise 1. Let f(x) be the function 2х — 1 if x 2. - (a) Find the value of c that makes f(x)…

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Q: For a function f: A --> B and subsets C and D of A and E and F of B, prove that the relationship is…

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Q: What are intervals of concavity of the function f(x) = -2x – 6x? – 3 ? a. Concave upward on (-00,-1)…

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Q: A fixed point of a function f is a number c in its domain that satisfies f(c).  In other words, the…

A: Given: A fixed point of a function f is a number c in its domain that satisfies f(c).

Q: 3)Verify Rolle's Theorem for the function f(x)=2x2+4f(x)%3D2×2+4 defined over the interval…

A: According to question given thatf(x)=2x2+4 over the interval [-5,5]

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A: The given function is  y=a2nx2n+a2n-2x2n-2+...+a2x2+a0

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Q: 3) Verify Rolle's Theorem for the function f(x) = 4x2 + 4 defined over the interval -3, 3. Justify…

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Q: Relation 3 {(;, w), (g, =).(w, -), (c, c)} O Function O Not a function

A: Given that : {(z,w) , (g,z) , (w,z) , (c,c)} Since , A= { z , g ,w ,c} B= { z, w , c}

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Q: Describe the concavity for the function f(x) = xª – 8z². O f(x) is concave down for the intervals…

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Q: 3) If a function is continuaus at x=a, then it is differentiaoe at x-a, yes? or NO? why ?

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Q: 3)Verify Rolle's Theorem for the function ?(?)=4?2+7 f ( x ) = 4 x 2 + 7 defined over the interval…

A: Explained below

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Q: A piecewise function f is defind by [1-x, x1.

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Q: 4 True or False. Explain briefly (you can use diagram to show, or one or two short sentences). (a)…

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Q: Let f(z) = 5 + /4z – 9. Find f-(z). %3| | f(2) - %3D

A: A function is said to be invertible if it is one-one and onto.

Q: What are intervals of concavity of the function f(x) = -2x – 6x² – 3 ? a. Concave upward on (-o, -1)…

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Q: 2x+5 Jika fungsi f (x) dan f-(a) = 2, maka nilai a adalah ... x+1

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Q: 3)Verify Rolle's Theorem for the function f(x) = 2x² + 6 defined over the interval [-4, 4]. Justify…

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Q: What are the discontinuity and zero of the function f(x) = x^2+8x+7/x+1    Discontinuity at (1,…

A: Given,        fx=x2+8x+7x+1        fx=x+7x+1x+1      Discontinuity at x=1  at f1=x+7=8…

Q: Let F)- (6-4)dt Then the value of F'(11) using Part 2 of the Fundamental Theorem of Calculus is

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Q: The domain of the function g(t) = vt – 5 is O R-{5} O R O (5, O [5, 0) о (-оо, —5) (5, 00)

A: From the given function: gt=t-5

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Q: 1-What are Univalent Functions .

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Q: in Exercises 21-26, a function h(x) is defined in terms of a differen- 21. Mx) (x) 23. h(x) = -(-x)…

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Q: Let f be the function from (a, b, c, d) to (1, 2, 3, 4) with f (a) = 4, f (b) = 2, f (c) = 1, and f…

A: Consider a function f:a,b,c,d→1,2,3,4 with fa=4, fb=2, fc=1 and fd=3. A function is a bijection if…