Use the known values of the function sin(x) at x = 0, π/6, π/4, π/3, and π/2 to derive an interpolating polynomial p(x). What is the degree of your polynomial? What is the interpolation error magnitude |p(1.2) − sin(1.2)|

Q: (2) Let f(x) = -3 sin(x+2). (c) And then determine the domain and range of f(x).

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Q: 2. If f(g(x)) = sin x + 3sinx - 1, determine possible expressions for f(x) and g(x), where g(x) # x.

A: (1st method/way): Let f(x)=x²+3x-1 and g(x)=sinx Then we can find f(g(x)) as follows…

Q: Use appropriate Lagrange interpolating polynomials to approximate f(1) if f(0) = 0, f(2) = −1, f(3)…

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Q: ) Define the domain and range of f(x) where f(x) = sin²(x) – 1

A: The function f(x)=sin^2(x)−1 is defined for all real numbers x because the sine function, sin(x), is…

Q: (c) Show that f(x)>0 for all values of x, x # -2.

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Q: Consider the function f(x) = sin2 (x) − sin(x), 0 ≤ x ≤ 2π.    Find the intervals of increase and…

A: Consider the function f(x) = sin2(x) − sin(x), 0 ≤ x ≤ 2π.  Find the intervals of increase and…

Q: find concavity and inflection point?  f(x)=x2 (8-x2)1/2

A: Find the derivative of f(x).

Q: 1. Differentiate the following functions a. f(x) = sin(x) cos(x)

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Consider the functions: f(x) = (cos(x) − sin(x))/cos(2x) and g(x) = 1/(cos(x) + sin(x)) where in…

A: cos(2x) = cos^2(x) - sin^2(x)

Q: Let ƒ(x) = 4x − sin(4x). a) Find f (0). f(0) = b) Find ƒ(§). ƒ(§) = CHECK ANSWER

A: Given query is to find the value of the function at indicated points.