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.