"A standing wave on a rope is represented by the wave function $y(x, t)=(0.020) \sin \left(\frac{1}{2} \pi x\right) \cos (40 \pi t)$, where $x$ and $y$ are in meters and $t$ is in seconds. $(b)$ What is the distance between the nodes of the standing wave? "

Polarization is evidence that light is a(n) ______ wave.

Consider the binary tree $T$ in the given figure.

(a) Find: (i) depth $d$ of $T$; (ii) descendants of $B$.

(b) Traverse $T$ in: (i) preorder; (ii) inorder; (iii) postorder.

(c) Find the terminal nodes of $T$ and the orders they are traversed in (b).

As a sound wave travels, its intensity decreases. Why?

Use the linear wave equation to show that the wave speed of a wave modeled with the wave function

$$y(x, t) = 0.20 m sin(3.00 m^{-1}x + 6.00 s^{-1}t)$$

is v = 2.00 m/s. What are the wavelength and the speed of the wave?

A rope, under a tension of 200 Newton and fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given by $y = (0.10 \text{~m})(\sin \pi x/2) \sin 12\pi t$, where $x = 0$ at one end of the rope, $x$ is in meters, and $t$ is in seconds. If the rope oscillates in a third-harmonic standing wave pattern, what will be the period of oscillation?

Find the equivalent resistance seen by the source in the figure. How many nodes are in the circuit? Assume: $R_{1}=12 \Omega, R_{2}=5 \Omega, R_{3}=8 \Omega, R_{4}=2 \Omega$, and $R_{5}=4 \Omega$.

A, B, C, and D are nodes on a computer network. There are 2 paths between A and C, 2 between B and D, 3 between A and B, and 4 between C and D. Along how many routes can a message from A to D be sent?

Choose the letter that best answers the question or completes the statement. In a transverse wave, the medium vibrates a. at right angles to the wave direction. b. in the same direction as the wave. c. in a direction opposite that of the wave. d. at a $45^{\circ}$ angle to the wave direction.

Suppose current is a reference to a ListNode object and that it currently refers to a specific node in a linked list. Show, in pseudocode, the steps that would delete the node following current. Keep in mind current can refer to the first and last nodes in the list.

State one piece of experimental evidence that light is a wave.

Circle the term that does not belong in each of the following groupings.

1. Antibodies

   Gamma globulin

   Cytokines

   Immunoglobulins

2. Protein

   Complete antigen

   Nucleic acid

   Hapten

3. Lymph nodes

   Liver

   Spleen

   Thymus

   marrow

a) How many separate parts does the circuit in Fig. earlier have? b) How many nodes? c) How many branches are there? d) Assume that the lower node in each part of the circuit is joined by a single conductor. Repeat the calculations in (a)-(c).

Call graphs G and H isomorphic if the nodes of G may be reordered so that it is identical to H. Let ISO=$\{\langle G, H\rangle | G$ and H are isomorphic graphs}. Show that $I S O \in \mathrm{NP}$.