Why is the following code wrong? Object r1 = new Rational(-2, 6); Rational r2 = new Rational(1, 45); System.out.println(r2.compareTo(r1));

Calculate the method of moments estimate for the parameter $\theta$ in the probability function

$$p_{X}(k ; \theta)=\theta^{k}(1-\theta)^{1-k}, \quad k=0,1$$

if a sample of size 5 is the set of numbers 0, 0, 1, 0, 1.

The z = 0 plane carries current $\mathbf{K}=10 \mathbf{a}_{x} \mathrm{A} / \mathrm{m}$, while current filament situated at y = 0, z = 6 carries current I along $\mathbf{a}_{x}$. Find I such that H ( 0, 0, 3) = 0.

Two conducting planes are located at x = 0 and x = 50 mm. The zero voltage reference is at x = 20 mm. Given that $\mathbf{E}=-110 \mathbf{a}_{x} V / m$, calculate the conductor voltages.

Bitumen is (a) a form of liquid coal. (b) a degraded type of petroleum. (c) a by-product of natural gas extraction. (d) a fast-forming fossil fuel.

A trust fund has $200,000 to invest. Three alternative investments have been identified, earning 10 percent, 7 percent, and 8 percent, respectively. A goal has been set to earn an annual income of$16,000 on the total investment. One condition set by the trust is that the combined investment in alternatives 2 and 3 should be triple the amount invested in alternative 1. Determine the amount of money which should be invested in each option to satisfy the requirements of the trust fund.

Choose the best answer. Critics of genetically modified organisms as food crops are concerned about I. introduction of new allergens into the food supply. II. loss of genetic diversity in food crops. III. decreases in food production worldwide. (a) I only (b) II only (c) III only (d) I and II

Choose the best answer. Which is an example of a positive externality? (a) Individual farmers exploit a common grazing area. (b) Deforestation causes the loss of valuable ecosystem services. (c) A change in local zoning causes a rise in property value. (d) Selective logging occurs in a nationally managed forest.

Graph the generalized derivative of $g(t)=3 \sin (\pi t / 2) \operatorname{rect}(t)$

Rewrite the expression with positive exponents and simplify. $\frac{9 a^{2} b^{-2}}{3 a^{-1} b}$

Write the following method that displays the bit representation for the last byte in an integer: public static String getBits(int value) For a hint, see Programming Exercise 5.44. Write a program that prompts the user to enter a file name, reads bytes from the file, and displays each byte’s binary representation.

What are the naming conventions for class names, method names, constants, and variables? Which of the following items can be a constant, a method, a variable, or a class according to the Java naming conventions? MAX_VALUE, Test, read, readDouble

For each of the following signals, decide whether it is periodic and, if it is, find the period. (a) $g(t)=28 \sin (400 \pi t)$ (b) $g(t)=14+40 \cos (60 \pi t)$ (c) $\mathrm{g}(t)=5 t-2 \cos (5000 \pi t)$ (d) $g(t)=28 \sin (400 \pi t)+12 \cos (500 \pi t)$ (e) $g(t)=10 \sin (5 t)-4 \cos (7 t)$ (f) $g(t)=4 \sin (3 t)+3 \sin (\sqrt{3} t)$

Write a recursive method that parses a binary number as a string into a decimal integer. The method header is: public static int bin2Dec(String binaryString) Write a test program that prompts the user to enter a binary string and displays its decimal equivalent.