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Two point charges of 0.04 x 10^-6 C and 0.16 x 10^-6 C are 20 cm apart in air. What is the potential energy of the system?
Suppose that equilibrium price in this market were to remain at P2 while equilibrium quantity increases from Q2 to Q4. Which of the following could account for such a change?
1.an increase in income, assuming this is a normal good.
2.an increase in the price of a complement combined with an increase in the price of a factor of production.
3.an increase in the price of a substitute combined with a technological innovation reducing production costs.
4.an increase in the price of a complement combined with a decrease in the price of a factor of production
Find the spring constant k if the spring is stretched a distance 47 m by a suspended weight 19 N. The acceleration of gravity is 9.8 m/s^2. Answer in units of N/m.
Suppose that equilibrium quantity in a market were to remain at Q2 while equilibrium price increases from P2 to P1. Which of the following could account for such a change?
1.an increase in the price of a substitute combined with a technological innovation reducing production costs.
2.a decrease in the price of a substitute combined with a technological innovation reducing production costs.
3.an increase in the price of a complement combined with a decrease in the price of a factor of production.
4.a decrease in the price of a complement combined with an increase in the price of a factor of production.
Read the article by Charmaine Hlongwane, “The British Coloureds of Sophiatown’: The Case of St. Joseph’s Home for Coloured Children, 1923-1998,” New Contree 78, 2 (2017): 24-41 (available on the HIST 112 Efundi site). Then deduce the main arguments from the narrative of St. Joseph’s Home and summarise it into a concise synopsis of 400 words.
“Africa had no history prior to European exploration and colonisation, that there is only the history of Europeans in Africa. The rest is darkness”, her past “the unedifying gyrations of barbarous tribes in picturesque but irrelevant corners of the globe” (Trevor-Roper, 1963: 871).
For the given functions f (x), let x0 = 1, x1 = 1.25, and x2 = 1.6. Construct interpolation polynomials of degree at most one and at most two to approximate f (1.4), and find the absolute error.
a. f (x) = sin πx
b. f (x) =cube root of (x − 1)
c. f (x) = log10 (3x − 1)
d. f (x) = e2x − x
Write an assay in which you discuss the seven -step process of building a logical argument
It’s time for Ronda to start repaying her student loans, which are amortized over the next 10 years. Her first month’s payment due is $396. How much should she expect to pay next month
In this question, you are required to write C++ code that checks whether the number
entered by the user is a happy number or not for 10 cycles/iterations only.
Example: Assume a number 19
Number Computation Result cycle/iterations
19 1
2 + 9
2 82 1
82 8
2 + 2
2 68 2
68 6
2 + 8
2 100 3
100 1
2 + 0
2 +0
2 1 4
