Question

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 as       4.91 ± 0.48.

(a)x= 4.53, d_x= 0.32, y= 34.38, d_y= 0.45. Calculate 5x+ 7y.

(b)x= 521.84, d_x= 12.8, y= 47.06, d_y= 5.83. Calculate 8x²+ 5y³.

(c)x= 0.438,d_x= 0.026, y= 3.46, d_y= 0.037. Calculate 12xy.

(d)x= 7.23, d_x= 0.64. Calculate 4e^x.

(e)x= 638.90, d_x= 54.94. Calculate 30ln x.

Answer 1

Solution:

Co ỵ.lt . 53 DE: О.З.g:34.38 aj 5 06

8 1S 1 18 3- 46

55 20.89 3 S 33 3 χ= 638.90 △n- 30 6 38.O