1. Find the Taylor series presentation and 4th, 6th order Taylor polynomials for the following functions. a) y = cos x b) y = x - x² cos x 2. Make table of error of three-point centered-difference formula for f'(0), where f(x) = sinx - cos x, with h 10-¹, 10-², 10-³.

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Q: 4. Show that if n is a positive integer, then fo(n) (26 (n) $(2n) = if n is odd if n is even

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Q: Consider the solid Q shown in the figure: x² + 2z = 4/ A) I = 5.8211 B) I = 3.0575 C) I=4.7124 D) I=…

A: Given that and Fx,y,z=-2x,3ycos2x,3zsin2x

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Q: 5. Consider the curve whose equation is (x² + y²)² = 9 (x² - y²). Find a normal vector and a tangent…

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A: As you have mentioned I have to answer part 3 only. We have to find the equation of the locus of…

Q: 9. [24/396, o Unknown] Consider the following hypothesis test: Ho: u = 18 and Ha: u ‡ 18. A sample…

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Q: 1. J1, 0 2 t,

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Q: How did you get (0 + 2 - 1 - 2t) in the subtraction part?

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Q: In Problems 25-32, use the given information to complete the following table. B B' Totals A ? Α' ?…

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Q: Consider the function g(x) = (1-x)². Show that 1 (1 - x)² = 1+2x+3x²+ + (n +1)x+ n+2 (n+1)x (1 - x)²…

A: Since you have posted multiple questions, we will solve only the first question for you. Kindly…

Q: corresp omplete solutions. Verify your answers. f(x) = 3x - 4; f-¹(x) = -2 g(x) = 5x + 12; g(x) = 57…

A: We have to find the values of x , using the corresponding function evaluation.

Q: (a) 2.. 2 1 2 5 104 1 2 1 3 5 (b) 2 12 101 24 3 515 (c) 0 1 -1 6 5 -1 7 1 -3 1 1 1 2-1 -1 1 -4 0 1…

A: Given  (a) 212510412135   (b) 212101243515  (c) 101-162-15-17-11-41-301-311

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Q: Determine whether the series n Σ. (+)" n=0 converges or diverges. If it converges, find its sum.

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Q: Solve the equation: c) y'= 1-x 1+y'

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Q: (71) Suppose the distance AB is a kilometres and the distance TR is d kilometres Use the Law of…

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Q: S Evaluate 1 1 + x² π de exactly and show that the result is 4 approximate value of the integral…

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Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. f(x) = 8 In (x), a = 1 The…

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Q: 2) Obtain the roots of the following equation using Bisection Method use 5 decimal places c. f(x)=…

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Q: Exercise 2: Describe the transformation for the parent function y = |x| a) y = - | x-2 |

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A: Given differential equation y' = √(1- y²)  is solved by using variable separable method.

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Q: What is the remainder when 3x⁴ + 3x³ – 5x² - 5x + 7 is divided by x + 2i?

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Q: f(3x-m) = 6x +4m and f(6+2m) = 4 2 if f(n) = -8, Find ² log (1)

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Q: Find a basis for the column space and the rank of the matrix. -2 -4 -2 1 -2 4 2-2 -6 4 2 -3 -3 14 7…

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Q: What is the solution set of the give linear system? x+2y=-3 x-2y=0 A. x = ²³; y 2;9=7 3 y B. x =…

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Q: Question 20 4 If A is a non-singular matrix whose inverse is 1 A. OD OB O C O A 11 4 2 B. 1 2 4 2 1…

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