4x' –11x°+x³ –8x+11 r (x) = and provide an estimate of the order of accuracy. 3x5+x2 – 1

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Q: 4. Determine the maximum point of the the graph of y = 12 sin(π – 2x), for x = [-T, T).

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Q: Consider the rational function 2x5 f(x) = 9x4 + 4x3 – 18x² – 28x + 12 2x3 x2 + 6x – 3 where 2x – x²…

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A: Use derivative and integration for the following question.

Q: x² – 3x + 17 2) (x + 1)² (x² + 4x + 5)

A: Given : x2-3x+17x+12x2+4x+5

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A: Let's find.

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A: This question is about application of numbers theory

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Q: find the critical numbers of the function

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Q: 11. If f(r) = rª and g(r) = r³, then f' (x) = 4x³ and gʻ(x) = 3x². The Chain Rule multiplies…

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Q: Write the rational function as a sum of partial fractions: x+1 A B -- A = J.B = + (x-4)(x+7)¯ x-4…

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Q: Find the third-degree Taylor polynomial of f (x) = sin x atx = 0.

A: Given: fx=sinx at x=0, with order=3

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Q: b) Use the initial condition y(0)= 2.14 to find the particular solution of -2y+x² + 2x* = 0 %3D dx

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Q: Determine the first three nonzero terms in the Taylor polynomial approximation for the given initial…

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Q: 14 (1). If f (x, y) =-x' + y* - 3xy + 9x? + y, then in the process of obtaining its critical points…

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Q: 1 1. S dx х2-5х+6

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Q: 2. For cos x = 2x – 1, with initial points x = 0 and xg = 2, find x7 using Bisection Method

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Q: 1. Find the linear approximation Using this linear approximation, 9.1. of f(x) x^(1/2) at x = 9.…

A: The linear approximation: L(x) for a function f(x) at x=a is defined using the formula:…

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Q: Use Dirichlet's principle with n = 10 to find a rational approximation of T.

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Q: If f(x, y) = -x - y* + 3xy - 2x - 5y, then in the process of obtaining its critical points the…

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Q: Find T; (x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T3(x) = %3D

A: f(x)=cos x at a=0, we have to find Taylor polynomial of degree 5.

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Q: Riemann sits on the line normal to the curve y=x2 -3x+2 at x = 1

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Q: Solve (5x2y2 O a. b. 2 ln 3 In a In xy² + 17y²) dx (x+2)³(x²+9) y³ |(x+2)³(x²+9) Y - -1 3 tan-¹() =…

A: Given 5x2y2-xy2+17y2dx-x3y+2x2y+9xy+18ydy=0

Q: 9. An equation of the line normal to the graph of f(x)=, at (1,–1) is (a) 2x - y -3 -0 (b) 2x + y…

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Q: If the marginal revenue for ski gloves is R'(x)=−36(6x+19)3+30R′(x)=-36(6x+19)3+30 and R(0)=0R(0)=0,…

A: Consider the marginal revenue is, R'(x)=-36(6x+19)3+30

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Q: 25 p1 3) Compute f(x)f'(x) dx where f(x) =x +2, using the Composite Trapezoidal 2 rule, your results…

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