Describe what it means to be a constant function.

Find the equation of the right-circular cone in Figure in cylindrical coordinates and compute its volume.

Identify some materials that have a crystalline structure.

In Ptolemy’s Earth-centered model, when would Venus appear directly behind the Sun as viewed from Earth?
a. when it is farthest from Earth
b. never
c. when it is in a crescent phase
d. when it is closest to Earth

Locate the centroid $\bar{z}$ of the homogeneous solid formed by boring a hemispherical hole into the cylinder that is capped with a cone.

In parts (a)-(d), describe how a plane could intersect the double-napped cone to form each conic section.

Ellipse

Graph some of the figures in this section, on the degenerate node, in which the vector $\mathbf{y}^{(2)}$ depends on $t$. In each figure highlight a trajectory that satisfies an initial condition of your choice.

After drawing the Lewis dot structure for $\ce{IF7}$, determine the number of single bond(s), double bond(s), and lone pair(s) on the central atom.

• A. single bond(s) = 3, double bond(s) = 2, lone pair(s) = 1
• B. single bond(s) = 7, double bond(s) = 0, lone pair(s) = 1
• C. single bond(s) = 7, double bond(s) = 0, lone pair(s) = 0
• D. single bond(s) = 1, double bond(s) = 0, lone pair(s) = 0
• E. single bond(s) = 4, double bond(s) = 0, lone pair(s) = 0

The admission of which territory as a free state threatened to upset the balance of power and violate the Missouri Compromise?

Refer to earlier exercise Graphs b through f of given figure are additional sketches of T versus t, of which one or more are impossible to produce. Which is impossible and why?

Construct a circle with a radius of 3 inches. Mark the circumference of the circle into six equal parts, and label the length of each part. Then cut out one sector of the circle and make a cone. a. Explain why the base of the cone is a circle. What are the circumference and radius of the base? b. What is the area of the original circle? What is the area with one sector missing? c. Describe the surface area of the cone, including the base. Use your description to find the surface area.

What is the surface area of a cone with a radius of 7 feet and a slant height of 9 feet? Use 22/7 for pi.

What are the general mechanical properties of ceramic materials?

The initial conditions in the circuit in Fig. are zero. Find the transfer function $\mathbf{I}_o(s) / \mathbf{I}_s(s)$. a. $\frac{s(s+4)}{s^2+4 s+3}$ b. $\frac{s+2}{s^2+3 s+1}$ c. $\frac{s}{s^2+5 s+7}$ d. $\frac{s+3}{s^2+2 s+10}$