Problem: In the late 17th century, Gottfried Leibniz proposed the idea of the Latin: vis viva, or living force, which defined as the product of the mass of an object and its velocity squared; he believed that total vis viva was conserved. To account for slowing due to friction, Leibniz theorized that thermal energy consisted of the random motion of the constituent parts of matter, a view shared by Isaac Newton, although it would be more than a century until this was generally accepted. The modern analog of this property, kinetic energy, differs from vis viva only by a factor of two.
In what century did Leibniz propose the idea of Latin: vis viva?
The answer is the following: late 17th century

Problem: Historical narratives of manga tend to focus either on its recent, post-WWII history, or on attempts to demonstrates deep roots in the past, such as to the Choju-jinbutsu-giga picture scroll of the 12th and 13th centuries, or the early 19th-century Hokusai Manga. The first historical overview of Japanese comics was Seiki Hosokibara's Nihon Manga-Shi[i] in 1924. Early post-war Japanese criticism was mostly of a left-wing political nature until the 1986 publication for Tomofusa Kure's Modern Manga: The Complete Picture,[j] which de-emphasized politics in favour of formal aspects, such as structure and a "grammar" of comics. The field of manga studies increased rapidly, with numerous books on the subject appearing in the 1990s. Formal theories of manga have focused on developing a "manga expression theory",[k] with emphasis on spatial relationships in the structure of images on the page, distinguishing the medium from film or literature, in which the flow of time is the basic organizing element. Comics studies courses have proliferated at Japanese universities, and Japan Society for Studies in Cartoon and Comics (ja)[l] was established in 2001 to promote comics scholarship. The publication of Frederik L. Schodt's Manga! Manga! The World of Japanese Comics in 1983 led to the spread of use of the word manga outside Japan to mean "Japanese comics" or "Japanese-style comics".
What was created in 2001 to give students comic scholarships?
The answer is the following: Japan Society for Studies in Cartoon and Comics

Problem: The Government of National Capital Territory of Delhi does not release any economic figures specifically for New Delhi but publishes an official economic report on the whole of Delhi annually. According to the Economic Survey of Delhi, the metropolis has a net State Domestic Product (SDP) of Rs. 83,085 crores (for the year 200405) and a per capita income of Rs. 53,976($1,200). In the year 200809 New Delhi had a Per Capita Income of Rs.1,16,886 ($2,595).It grew by 16.2% to reach Rs.1,35,814 ($3,018) in 200910 fiscal. New Delhi's Per Capita GDP (at PPP) was at $6,860 during 200910 fiscal, making it one of the richest cities in India. The tertiary sector contributes 78.4% of Delhi's gross SDP followed by secondary and primary sectors with 20.2% and 1.4% contribution respectively.
What was the 2004-05 State Domestic Product of Delhi?
The answer is the following: 83,085 crores

Problem: In 255 B.C., Ariarathes III took the title of king and married Stratonice, a daughter of Antiochus II, remaining an ally of the Seleucid kingdom. Under Ariarathes IV, Cappadocia came into relations with Rome, first as a foe espousing the cause of Antiochus the Great, then as an ally against Perseus of Macedon and finally in a war against the Seleucids. Ariarathes V also waged war with Rome against Aristonicus, a claimant to the throne of Pergamon, and their forces were annihilated in 130 BCE. This defeat allowed Pontus to invade and conquer the kingdom.
Cappadocia began it's realtionship with Rome under whom?
The answer is the following:
Ariarathes IV