f(x) = 6x and g(x) = x6,
find the following (f+g) (x) (f-g)(x)
Since the precise value of c is unknown, the maximum value of in the interval [-1, 1] is used to determine the maximum error bound.
(b) Use it to estimate sin(0.57).
2. Use the polynomial approximations to the function cos x derived in class to find a polynomial approximation to cos x on the interval [-0.25, 0.25] so that the error at any point is less than 0.001.
(a) Write down the polynomial.
(b) Use it to estimate cos(0.235).
- Find the 3rd Taylor polynomials at 0 of each of the following functions:
(a) f(x) = ln(1 + 2x) (Recall that d/du (ln u) = 1/u.)
(b) f(x) = cos2(x)
(c)
