After telling the inner story, the man says that "things change." What do you think has changed since the time of the inner story? What has the man learned?

In what ways do these author's inner lives contrast---or conflict---with the outside world? What role does writing play in the connection between each writer's inner and outer life?

Given that the diameter and average mass of a billiard ball are $5.72 \mathrm{~cm}$ and $165 \mathrm{~g}$, respectively, determine the density of a billiard ball. Assuming that they can be packed like atoms in a metal, determine the density of a collection of billiard balls packed with a simple cubic unit cell, and those packed with a face-centered unit cell. Explain why the three densities are different despite all referring to the same objects.

Rubidium metal has a body-centered cubic structure (with one atom at each lattice point). The density of the metal is $1.532 \mathrm{~g} / \mathrm{cm}^3$. From this information and the atomic mass, calculate the edge length of the unit cell. Now assume that rubidium atoms are spheres. Each corner sphere of the unit cell touches the body-centered sphere. Calculate the radius of a rubidium atom.

Suppose that $\langle u,v\rangle$ is an inner product for a vector space $V$. For any scalar $r>0$, define $\langle\langle u,v\rangle\rangle=r\langle u,v\rangle$. (a) Prove that $\langle\langle u,v\rangle\rangle$ is an inner product on $V$. (b) Why is $\langle\langle u,v\rangle\rangle$ not an inner product if $r\leq 0$?

In an expression of the form f(g(x)), f(x) is called the outer function and g(x) is called the inner function. Give a written description of the chain rule using the words inner and outer.

What is the difference between a galvanic-cell and an electrolytic-cell?

After binding to an infected cell, the cytotoxic T cell ____?

Explain how the signal ing molecules released by an embryonic cell can induce changes in a neighboring cell without entering the cell.

Consider the voltaic cell:
(b) In which half-cell does reduction occur?

A metallic solid with atoms in a face-centered cubic unit cell with an edge length of 392 pm has a density of $21.45\ \mathrm{g} / \mathrm{cm}^{3}.$ Calculate the atomic mass and the atomic radius of the metal. Identify the metal.

A host cell or organism that contains recombinant DNA is referred to as a _______ cell or organism.

A circular path 2 feet wide has an inner diameter of 150 feet. How much farther is it around the outer border of the path than around the inner edge?

How does a cytotoxic T cell destroy its target cell?