I need help with #5 whose slope is computed by the centered difference formula a

ID: 2858565 • Letter: I

Question

I need help with #5

whose slope is computed by the centered difference formula and explain why the formula approximates f'(4) Use the centered difference formula to approximate f 4) by completing Table 2. Error b. Approximation 0.1 0.01 0.001 0.0001 Table 2 5. Use the CDF (2) and a table similar to Table 2 to find a good approximation to f(o) for 6. Use the CDF (2) and a table similar to Table 2 to find a good approximation to f(t/6) for Table 3 gives the distance Ait) fallen by a smokejumper t seconds after she opens her chute. Use the forward difference formula (1) with h = 0.5 to estimate the velocity of the skydiver a.

Explanation / Answer

We know approximation by cdf for the first order derivative is given by f’(x0)= (f(x0+h)-f(x0-h))/2h

Here f(x) =1/1+x

F’(0)

Approximate f’(0)

Using above formula

Error

If’(0)-approximate f’(0)I

0.1

-1

-1.01010101

.01010101

0.01

-1

-1.00010001

.00010001

0.001

-1

-1.000001

.000001

0.0001

-1