Find a norm of the function f(t) = 2t4 – tin space C0, 1], where norm is given by formula max|f(t)| a. 1 1 Ob. 3 d. 4 1 4

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Q: The domain of the function ,y) = In[x* +y² – 1) is:?

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Q: Find a norm of the function f(t) =t? – 2t in space C[0, 1], %3D where norm is given by formula…

A: Given that  f(t)=2t^2-2t C[0,1] To find the norm of the function

Q: Find V²f by the formula V²ƒ =div(grad f) given f(x,y, z) = e³wyz grad f = [| V²f =

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Q: a) f(AUB) = f(A) U ƒ(B). b) (i) f(An B) ≤ f(A)n ƒ(B). (ii) Find a function f {1,2} → {a}, and A, B C…

A: a)  We  have  to prove  that  Now,      Thus,  (Proved)[since, b) i) We  have  to show  that Let  be…

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Q: Find ||F||. F(x, y, z) = i + j + k

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Q: Show that F is conservative and find a function f such that F= Vf, and use this result to evaluate F…

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Q: The function f(x) = Ei-1 Cix;| is piecewise linear and convex. True O False

A: Step:- 1 Convex piece-wise Linear: - A function f: ℝn→ℝis a convex piece-wise linear if there exist…

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Q: naximum value of f(x)

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A: Given: Let fx,y=x2+xy+3y2-3. To Show: fx,y contain minimum and maximum value.

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.