For the following values of x,y, and \(\theta\), find \((z)\) and the error in z \((\delta z)\), using the stated error propagation
method. Also, you should make sure all your answers have the correct number of sigfigs, and that they are in proper
scientific notation.(1 mark each unless otherwise stated)
x = 3.0±0.1
y = -2.0 ± 0.2
\(\theta = 45^\circ \pm 2^\circ\)
k = 5
1. \(z = -\frac{2k\sqrt{x}}{y}\) using the equation method.
2. \(z = \frac{2-k\cos\theta}{x^2}\), using the calculus method. (Note: Think about what the MPE of the angle should be measured
in.)
The next questions are much more challenging. If you do not know the derivatives, use MAPLE or some
other program to get them, or they may be in your text, or if not there, they are definitely in the table of derivatives
in the CRC Handbook of Chemistry and Physics.
3. \(z = \frac{(2x+y)^2}{x}\)
4. \(z = \frac{ln(kx)}{y^2}e^{sin\theta}\)
