5. Evaluate the double integral
=__ (10)__ .

(a) First compute

(b) Solve the differential equation.

(c) Find

(a) Solve for the max um production,, in terms of C and a.

(b) Compute, and C = 1000.

二、問答題 (一) How have financial innovations such as direct deposit of paychecks, electronic payment of bills, and automated teller machines (ATMs) affected the velocity of money and the demand for real money balances?

1、若工資下降所帶來的替代效果小於所得效果，則人們會花更多時間工作。

2、在其他條件不變下，任一商品市場的總收益隨供給的增加而增加。

1. Although socialist ideas can be traced back to the Levellers and Diggers of the seventeenth century, or to Thomas More's Utopia, or even Plato's Republic, socialism did not take shape as a political creed until the early nineteenth century. It developed as a reaction against the emergence of industrial capitalism. Socialism first articulated the interests of artisans and craftsmen threatened by the spread of factory production, but it was soon being linked to the growing industrial working class, the 'factory fodder' of early industrialization. In its earliest forms, socialism tended to have a fundamentalist, Utopian and revolutionary character. Its goal was to abolish a capitalist economy based on market exchange, and replace it with a qualitatively different socialist society, usually to be constructed on the principle of common ownership. The most influential representative of this brand of socialism was Karl Marx, whose ideas provided the foundations for twentieth century communism. During much of the twentieth century, the socialist movement was thus divided into two rival camps. Revolutionary socialists, following the example of Lenin and the Bolsheviks, called themselves communists, while reformist socialists, who practised a form of constitutional politics, embraced what increasingly came to be called social democracy. This rivalry focused not only on the most appropriate means of achieving socialism, but also on the nature of the socialist goal itself. Social democrats turned their backs upon fundamentalist principles such as common ownership and planning, and recast socialism in terms of welfare, redistribution and economic management. Both forms of socialism, however, experienced crises in the late twentieth century that encouraged some to proclaim the 'death of socialism' and the emergence of a post-socialist society. The most dramatic event in this process was the collapse of communism brought about by the eastern European revolutions of 1989-91, but there was also a continued retreat of social democracy from traditional principles, making it, some would argue, indistinguishable from modern liberalism.

2. Most forms of idealism are underpinned by internationalism: that is, the belief that human affairs should be organized according to universal, and not merely national, principles. This, in turn, is usually reflected in the assumption that human affairs, on both the domestic and international levels, are characterized by harmony and cooperation. One of the most influential forms of idealism has been found in liberalism. Although liberals have traditionally accepted the nation as the principal unit of political organization, they have also stressed the importance of interdependence and free trade, arguing quite simply that 'war does not pay'. Such internationalism is also reflected in a faith in collective security and international law, which is embodied in organizations such as the League of Nations and the United Nations. President Woodrow Wilson of the USA, for example, argued that the First World War had resulted from the 'old politics' of militarism and expansionism pursued by multinational empires. In his view, the best antidote to war was the construction of a world of democratic nation-states that were prepared to cooperate in areas of common interest and had no incentive to embark upon conquest or plunder. After years of ridicule and denigration at the hands of realist theorists, idealism was revived in the late twentieth century. What has usually been called neo-idealism reflects disenchantment with the amoral power politics of the superpower era. An early example of this was the attempt by President Carter in the 1970s to restore a moral dimension to US foreign policy by emphasizing that economic and military aid depended on the human-rights records of recipient regimes. The theme of international cooperation and common security was taken up more boldly in the late 1980s by the Soviet president Mikhail Gorbachev, who spoke of a 'common European house', and proclaimed that the doctrine of human rights transcended the ideological rivalry between communism and capitalism

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