(a) Use Maclaurin polynomials to write the following expressions in the form of a degree 2 polynomial with Landau's O remainder as r → 0. i. 1- cos ii. In(1+x) – x iii. cos(2.r) – (1+ x)?

Q: Evaluate the expression (In (3.34)- tan (61.010)-2)/(5.011e0.37 +1)

A: Since you have uploaded multiple questions according to our guidelines we have solved first question…

Q: Evaluate the given complex function f at the indicated point: *-2i f(z)=r+icos2(θ

A: Given complex number is -2i comparing with a+bi  we get  a=0, b=-2 find the modulus r given by…

Q: What are the rational roots of the polynomial P(x) = æ³ + 3a? + æ – 1? * = -1 O a = 0, a = ±1 Oæ =…

A: P(x)=x3+3x2+x-1 To find the rational roots of the polynomial To select correct option

Q: Construct Lagrange interpolating polynomials for the following functions. f(x)= sin(In.x), x, = 2.0,…

A: Lagrange's interpolation formula for n points can be defined as:…

Q: Which of the following is equal to cos A cos B? 1 [A] [sin(4 + B) – sin(A – B)] 1 [B] [sin(A + B) +…

A: Use trigonometric identities.

Q: 9. Two zeros of f(x) = x* – 7x³ +x² – 63x – 72 are 3i and 8. In what form are the other roots? A. 1…

A: Topic = Polynomial

Q: W laLer Prove the polynomial identity below: (2 – 4y² )² + (4zy)² = (z² + 4y)

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Q: Use the Residue Theorem to show that sin²x ㅠ f² = 0 x2 dx = FIN 2

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Q: Sketch the graphs of y = sin(x) and y = x and determine the unique root, x∗, of the function f(x) =…

A: To find the multiplicity of the root of f(x)=x−sin(x) in the interval [−π/2,π/2], we can follow…

Q: 1. for f (x) = cosx + sinx function; (Table attached in to description) table is given. a) Find…

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Q: 6. How many negative real zeros does the function f(x) = 625 - + 8x2 - 20 200 - O O or 2 O 1 or 3

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