Let f(x) = |x|x 2 , x ∈ [−1, 1]. Calculate

Q: Let f(x) = x5 + x³ + 2x? – 1 € Z3[x]. Then x = 1 is a root for f(x) of multiplicity: 2 4 None 3

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Q: The interval on which f(x) = 3 – 2x – 12x² – x³ is | - concave down is: O (-4, 0) O (-∞, 4) O (4,…

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Q: Let f(x) = x5 + x3 + 2x² – 1 € Z3lx]. Then x = 1 is a root for f(x) of multiplicity: 4 None

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Q: Q1) B) Use the Polynomial interpolation formula to compute f (2) from the experimental data shown in…

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Q: Let f(x) = x* + 2x + 3x + 4 € Z,[x). Then x = -1 is a root for f(x) of multiplicity: 2 None 4

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Q: Let f (x) = 2x + 3. Compute R6 and L6 over [0, 3].

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Q: Determine the absolute minimum value of the function f(x) = x³ – 6x – 1 where xe [-2,3] %3D

A: Explanation of the answer is as follows

Q: 2. For a given function f(x) -(x – 2)2 + 6 a) Axis of symmetry : x= b) The vertex (h,k) is: c)…

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Q: Find the maximum of f (x) = 1 − (x − 1)2/3 on [−1, 2].

A: To find the maximum value of fx=1-x-123 on interval -1,2. Solution: We need to find critical points…

Q: Calculate the total area of the glass needed for a KLEEMANN curved building design with a function…

A: we have to find area.

Q: 7. Find the minimum of, f(x1, x2) = 2x? – X1X2 + 2x³ + x³ – 2x1x3 And check the second order…

A: This is a problem of multi-variable calculus.

Q: Find the two positive integers x and y such that x + y = 60 an 2 xy is maximum

A: The equation is x+y=60 where x and y are two positive integers. The main objective is to find x and…

Q: Let g(x) = x³ +px+q be the depressed cubic of f(x) = x³ + ax²+bx+c and suppose that S = 1 and p=-6.…

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Q: Let f(x) = x5 + x3 + 2x² – 1 € Z3[x]. Then x = 1 is a root for f(x) of multiplicity: O 2 O 3 4 None

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