# Use propagation of error techniques to calculate the following derived quantities with their errors. Give the…

Use propagation of error techniques to calculate the following

derived quantities with their errors. Give the derived error to two

significant figures, and report the value of the derived quantity

with significant figures limited to those of the error. For

instance, if you obtain the value of the derived quantity as 4.9071

and the error as 0.478, you should report your answer

as4.91 0.48.

(a)x= 4.53,

dx= 0.32, y= 34.38,

dy= 0.45. Calculate 5x+

7y.

(b)x= 521.84,

dx= 12.8, y= 47.06,

dy= 5.83. Calculate

8×2+ 5y3.

(c)x=

0.438,dx= 0.026, y= 3.46,

dy= 0.037. Calculate

12xy.

(d)x= 7.23,

dx= 0.64. Calculate

4ex.

(e)x= 638.90,

dx= 54.94. Calculate 30ln

x.