G.5.a.i. Given f[x] = x^(2), use the derivative to try to predict how many accurate decimals of e guarantee 8 accurate decimals of f[e] . Check yourself with a calculation.

G.5.a.iv. Given f[x] = sin[x], predict how many accurate decimals of any old x guarantee 9 accurate decimals of f[x] .

G.5.b.i. Explain the statement: The bigger x is, the more sensitive e^x is to roundoff error.

G.5.b.ii. Explain: No matter what point x you use, you can be assured that k accurate decimals of x guarantee k accurate decimals of Cos[x] .

G.5.b.iii. Explain the statement: Roughly speaking, roundoff error is not much of a problem with Sin[x] or Cos[x] , but roundoff error can become a big problem with e^x .

G.5) Round off. v G. 5.a.i) Given: Clear [f, x]; XA2 Out 21 Use the derivative to try to predict how many accurate decimals of e guarantee 8 accurate decimals of fre Check yourself with a calculation v G. 5.a. iv Given In 31. Clear [f, x]; Sin[x] OutKF Sin [x] Predict how many accurate decimals of any old x guarantee 9 accurate decimals of fix] v G. 5.b.i) Explain the statement: The bigger x s, the more sensitive e is to roundoff error. Tip: Look at plots of the derivative v G., 5.b.ii) Explain No matter what point x you use, you can be assured that k accurate decimals of x guarantee k accurate decimals of Cos v G.5.b .iii) Explain the statement: V Roughly speaking, roundoff error is not much of a problem with SinEx] or Cos x] but roundoff error can become a big problem with ex G.5) Round off. v G. 5.a.i) Given: Clear [f, x]; XA2 Out 21 Use the derivative to try to predict how many accurate decimals of e guarantee 8 accurate decimals of fre Check yourself with a calculation v G. 5.a. iv Given In 31. Clear [f, x]; Sin[x] OutKF Sin [x] Predict how many accurate decimals of any old x guarantee 9 accurate decimals of fix] v G. 5.b.i) Explain the statement: The bigger x s, the more sensitive e is to roundoff error. Tip: Look at plots of the derivative v G., 5.b.ii) Explain No matter what point x you use, you can be assured that k accurate decimals of x guarantee k accurate decimals of Cos v G.5.b .iii) Explain the statement: V Roughly speaking, roundoff error is not much of a problem with SinEx] or Cos x] but roundoff error can become a big problem with ex