Consider the function f(x) = 1 − cos(x) x 2 . (a) evaluate limx→0 f(x) = l. (b) as x → 0, at what rate does f(x) → l? (c) compute f(x) as written on a computer for values of x = 10−1 , 10−2 , . . , 10−10. comment on your results. (d) suppose that we are able to represent floating point numbers with n decimal digits of accuracy. around what value of r will the evaluation of f(x) produce very large relative errors when |x| < r? (e) rearrange the expression for f(x) to a mathematically equivalent expression so that the this new function evaluates accurately for very small values of x. verify the success of your rearrangement computationally. a

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

where is the diagram? shown below where? ?

step-by-step explanation:

step-by-step explanation:

is their an equation anywhere i can take a   look at it and see if i am right.