(d) (Still: the function f is given by f(x) = = ¹/²+x-¹/².) Sketch the g Compute all necessary limits and label all points of importance on the graph. (Yor 4/√3≈ 2.3.) (e) Determine the range of f. (1,2) [2,00) x+1 √x (f) Is y = f(x) one-to-one on (0, 1)? (3, 45¹) Yes. It is (strictly) decreast with f'(x) <0 m (0, 1)

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Q: Find f"-1) if f3) = (3x + 1)° . %3D O a) 9 O b) -27 c) 36 O d) -9

A: Given function is f(x)=y = (3x+1)3  We have to find f'(-1)

Q: (b) Find A fo given that fo = 3, f1 = 12, f2 = 81, f3 = 200, f4 = 100, f5 = 8

A: Forward difference table is given below: x y △y △2y △3y △4y △5y x0 y0 △y0=y1-y0 △2y0=△y1-△y0…

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Q: . Let f(r) = 3r² – 12.r.

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Q: see the question   as attached here :-

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Q: 3. Consider f(x) = Vx and g(x) = x3 + 2, construct the following function. g(f(x)) f(x) g-'(x)

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Q: Determine the range of f, if f: D → R, where f(x) = x². I. D = (-2,2) II. D = [-7,2] III. D = (-4,2]…

A: I. D = (-2,2) Here the variable x lies between -2 and 2, that is,…

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Q: Consider f = {(x, y) : x ∈ N and x + y = 5}. Write out some elements of f. What are the domain and…

A: Given: f={(x,y): x∈N and x+y=5} The domain of a function f(x) is the set of all values for which the…

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Q: hecremiif fi Ia b}-yR is Continhous function, then ERiemann aib}. Poes the Converse af the…

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Q: If f(a, b) = eab (ab + a), show that fûû(a, b) — àƒÂ(a,b) = a²eab

A: We can solve this as follows:

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Q: dute tind fy (X, if f(x,Y) SX+34+3

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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: Find f'(1) if Ax) = (4x- 3) %3D 2.

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A: Solution

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A: Explanation of the answer is as follows

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A: Step 1: Verify reflective and symmetricGiven that   be a relation on the set Reflexive:  For every…

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A: Given that two functions:

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A: Use rule to find inverse function

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A: a) From the results of Part (a), the obtained z value is -3.75.

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Q: a. UW) = In(W) b. U/W) = w^3 C. U(W) = w13 d. U(W) = 3W. The utilily function, U(Wy= In(W), Implies…

A: (a) The utility function is defined as UW=lnW.

Q: The figure defines a function f from A={r, s, t, u} into B={a, b, c, d} in the obvious way. Which of…

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Q: 04 Let f(x) be a contineous function such that Ler - 5/W)dx = = 4 and =9, then a) 81 b) 101

A: Use definite integration property

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Q: /500t was fox) = (X-2) the fEsso (1) = %3D

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