4. Use Taylor's Inequality to estimate the accuracy of the 5th degree Taylor polynomial approximation to the function f(x) = sin(x), centered at x = when 0 ≤ x ≤ 6 3

Q: agrange's mea 2x in 0,

A:

Q: Ex 6. Find the points at which the given function f has a local extremum: (i) f(x)=x²-11 on I =…

A:

Q: 5. Find the absolute extrema of f(x) = x’ + 3x – 9x + 4 on the closed interval [-4, 0].

A: The given function fx=x3+3x2-9x+4

Q: For any rational number r give a definition of f(x) = x" for r > 0 and show f'(x) = rx*-1.

A:

Q: For the given functions f(x)=sinnx let xO=1,x1=1.25, and x2=1.6. Find the absolute quadratic error…

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Q: sketch f(x)=sec x over the half-open interval -r,27). 2 1 3/% 27t 52

A: Given query is to find sketch the graph of sec(x) .

Q: Let f(x) = 2x³ + x²-x+3 on the interval [-1.5, 5]. Use calculus and algebra to justify all answers.…

A: The given polynomial function is  on the interval .

Q: The quadratic approximation at x = 1 to f(x) is Q\left(x\right)=10+3\left(x-1\right) 3 (x – 1) + 2(x…

A:

Q: Let Find the values of a and b so that f will be differentiable at x = 5. a = b = i √(x) = {2x²+ A…

A: We have been given a piecewise function.. We have to find the values of a and b so that f is…

Q: 11. Find the absolute maximum and minimum values of each function on the given interval: (a) y =…

A: The given functions

Q: Show that f(x) = x³ − x² − 3x + 1 has a zero over the interval [0, 1].

A: given function We need to sow that function has a zero on given interval.

Q: 5. Find all the zeroes of the function f(x) = - 0.5x? + 2.5 x +4.5 using False Position Method…

A:

Q: 5. If f(x)=3*-9 and g(x)= tanx, then what is the domain of (g+f)(x) on the interval [0,2m]?

A: For the given question, we can write the function (f÷g)(x) as:f(x)g(x)=tanx3x-32Hence, the domain of…

Q: 1. Determine the absolute extremum values of f(x) = x? / 2x + 4 on [-3, 1].

A:

Q: Consider the function ax) = 3 sin(0.6x - 2). (a) Find the zero of fin the interval (0, 6). (Round…

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Q: Find the best quadratic approximation to f on the interval [ 0, 1].                       f(x) = ex

A:

Q: Use the Mean Value Theorem to prove that f'(x) = 0.01 has a solution in the (-4, -3) interval.…

A: We use cubic formula to calculate the value of c

Q: 2) for function f (x) = ln x (Table attached in to description) Table is given. a) Construct the…

A: We can calculate the exact value of ln(x) at x = 2.5 by substituting 2.5 in the place of x in ln(x).…

Q: Find the Chebyshev rational function approximation of the function f (x) = e=* in N =6 (m=3 and n=3)…

A:

Q: Locate the position of any stationary points of the function f(z,y)-+zy+20y++102² (In your answer,…

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Q: 11) Find the best upper bound for the error when using Newton polynomial P3(x) to estimate f(x) =…

A: Concept: The upper error bound using the newtons polynomial: Rn≤Mnn+1!maxx∈a,bx-x0x-x1....x-xnWhere…

Q: 1) Find the root of f(x) = x3 + x - 1 = 0 , lying in the interval (0,1) using Bisection method up to…

A: