Find the equivalent resistance $R_{e q}$ in the network in Fig.

What is the weight in newtons of an object that has a mass of 0.04 kg?

Show that $p \leftrightarrow q$ is logically equivalent to $\sim p \leftrightarrow \sim q$.

The graph shown gives the weight of a certain person as a function of age. Describe in words how this person's weight varies over time. What do you think happened when this person was 30 years old?

Jared Fogle, the former spokesman for the Subway restaurants (http://en.wikipedia.org/wiki/Jared_Fogle), weighed $193 \mathrm{~kg}$ in 1997 before losing more than $108 \mathrm{~kg}$ in 12 months. A chart showing his possible dramatic weight loss is given in the accompanying figure.

a. Estimate Jared's rate of weight loss when

i) $t=1$

ii) $t=4$

iii) $t=11$

b. When does Jared lose weight most rapidly and what is this rate of weight loss?

c. Use the graphical technique of Example 3 to graph the derivative of weight $W$.

Show that your answers to the previous parts are equivalent.

What is the weight in newtons of an object that has a mass of $0.04 {mg}$,

Why is it more accurate to use a primary standard with a high equivalent mass (the mass required to provide or consume 1 mol of H1) than one with a low equivalent mass?

Write as an equivalent addition; then evaluate $0-(-5)$

Given the network shown in Fig. , find (a) the equivalent inductance at terminals $A-B$ with terminals $C-D$ short circuited, and (b) the equivalent inductance at terminals $C-D$ with terminals $A-B$ open circuited.

How do the crust and mantle respond to the weight of glacial ice?

Phosgene (COCl$_2$) was used as a poison gas in World War I. Give the product that would be formed from the reaction of phosgene with each of the following reagents:

1. one equivalent of methanol

2. excess methanol

3. 3. excess propylamine

4. one equivalent of ethanol followed by one equivalent of methylamine

Convert $5^2=z$ to an equivalent statement involving a logarithm.

Find the Thevenin equivalent of the circuit shown in Fig