x² + x - 1 dx J, x(x2 – 1) is convergent or divergent.

Q: Consider the function Compute f"(x). X = 66²⁰ - f(x) = -3t²- f"(x) = -4t+ 3 dt.

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Q: Perform one iteration of the Newton's method to minimize the function f(x1,x2) = 2(x2 – x?)² + (1 –…

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Q: Calculate the linearization L of f(x) : 5e* at x = 1. x2 Express your answer in terms of e and x.

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Q: Please

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Q: Find linearization L(x) of f (x) = Vx at a =4 and use to approximate 7.8.

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Q: Find the linearization L(x) of f (x) = tan x at a =

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Q: Differentiate the function. = In({ (4t+ 1)³ (4t-1)5 F'(t) = F(t) = In

A: The derivative of the function in the division form is given by the quotient rule which is given by-…

Q: Sa cos(r) dr = ,2 %3D 1 sin(r³) +c cos(r³) + c -1 - sin(r*) + c 3 cos(r³) + c 3 1/3

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Q: The interval in which the function f(x) = 2x – 12x is decreasing is O a. (-0,0) O b. (-0,-4) O c.…

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Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 4x/3 on the interval [0,…

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Q: Let F(x) = x √ √2+1 dt. Find F"(1) 3

A: Given: F(x)=∫3x t2+1dt Leibniz integral rule for differentiation states that ddx∫a(x)b(x)…

Q: Find a linear approximation of the function f(x) = V1-x at a = 0. %3D

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Q: The interval over which the function f(x) = becomes continuous is %3D x+8 (-3, 0) (-3, 3) (-00,…

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Q: Find the integration of the function f(u) = u(u+ 4) +u-4 + /[u +5) + J((u + 4)) %3D

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Q: 3e-2t + 1] -4 7 4t x(0) = 0; y(0) = 0 alınacaktır. how many independent function can become from…

A: Given system of linear differential equation is ddxxy=2-417xy+3e-2t-14t                     (1) Here…

Q: = 4+ J₁ Find F'(x). 2t² + 1 t² + 3 dt.

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Q: f(x) = x – x³ [0, 1]. Find the global extremum.

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