Question

46. Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations differ by less than 0.001. Then find the zero(s) to three decimal places using a graphing utility and compare the results.

f(x) = 2 − x³

Newton's method:	Graphing utility:
x =	x =

  

48. Find the differential dy of the given function. (Use "dx" for dx.)

y = x+1/3x-5

dy =

49.Find the differential dy of the given function.

y = sec^2x/x^2+6

dy=

24.Consider the function on the interval (0, 2π).

f(x) = sin(x) cos(x) + 4

(a) Find the open interval(s) on which the function is increasing or decreasing. (Enter your answers using interval notation.)

increasing=

decreasing=

(b) Apply the First Derivative Test to identify all relative extrema

relative maxima= ( , ) (smaller x-value)

( , )  (larger x-value)

relative minima ( , ) (smaller x-value)

( , ) (larger x-value)

Answer 1