Approximate The Relative Change Assignment | Assignment Help Services

A) If f(x) = 7 cos2(x), compute its differential df.

df = −7sin(2x)(dx)

Approximate the change in f when x changes from x = π/6 to

x = π/6+ 0.1.(Round your answer to three decimal places.)

Δf ≈ _____

Approximate the relative change in f as x undergoes this change. (Round your answer to three decimal places.)

_____

B) If f(x) = x3 − 6×2 − 8, compute its differential df.

df =  ______

Approximate the change in f when x changes from x = 2 to x = 2.1.

Δf ≈ ______

Use this value of Δf to approximate f(2.1).

f(2.1) ≈ _____