Homework answers and tutorials

Waiting for answer What are examples of public goods?
Fireworks display and light house are good examples. Public goods involves the types of goods with two properties 1. non Excludable( there are no boundaries as to who should use the...
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Waiting for answer How do you find the derivative of ##y = cos 2x##?
## dy/dx = 2sin2x ## what we have here is a function 2x inside another function cos . This is known as a function of a function. If we differentiate cosx we get  sinx when we d...
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Waiting for answer How and when did Martin Luther King Jr die?
Martin Luther King, Jr. died on April 4, 1968, he was assassinated by James Earl Ray while standing on his hotel balcony Source: http://www.history.com/thisdayinhistory/drkingis...
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Waiting for answer What are independent trials, and how do they relate to the d...
In Probability we use the term Bernoullian trials for independent trials. A sequence of trials are said to be Bernoullian if (i) there are only two outcomes for each trial ( say a su...
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Waiting for answer If the sum of interior angle measures of a polygon is 900, h...
the polygon is *heptagon (7sided polygon) Sum of interior angles is ##180(n2)## Since sum is ##=900##, ##900=180(n2)## ##900/180=(180(n2))/180## ##900/180=(cancel180(n2))/c...
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Waiting for answer A scale drawing of a building has the scale of 0.5 inches :...
The wall will be ##2 1/2## inches long on the drawing Using ratio: Write 0.5 inches to 6 feet as: ##" "0.5/6## Let the unknown scale down size be ##x## Then...
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Waiting for answer The formula of sulfuric acid is what? (A) ##HCl## (B) ##HNO...
##H_2SO_4## Sulphuric Acid ( the king of chemicals) is a highly corrosive strong mineral acid with the molecular formula ##H_2SO_4## Hope this helps! :)
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Waiting for answer How do you find percent composition from an empirical formul...
For each element, you divide the total mass of its atoms by the empirical formula mass and multiply by 100. EXAMPLE What is the of a compound with the empirical formula ##"CH"_2"...
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Waiting for answer What are the layers of the earth?
Crust, Mantle, Core (Outer and Inner) Crust is the thinnest layer. Its thickness varies, for example the crust in ocean or oceanic crust has it thickness of only about ##8## ##km...
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Waiting for answer How does natural selection lead to adaptation in a populatio...
In natural selection, organisms that suit a certain ecosystem will live while others will die; one of the offsprings may have one thing over the others and adapt to the situation.
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Waiting for answer Can you describe the difference between the coefficient stat...
In essence, the coefficient of static friction is typically larger than the coefficient of kinetic (or dynamic) friction. In essence, the coefficient of static friction is typically...
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Waiting for answer Approximately how many planets are in the universe?
Around ##10^24## planets In this universe there are more than 200 million galaxies. Each has trillions of stars and planets but in our observable universe there are about ##10^24##...
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Waiting for answer What are some examples of syllogisms?
The most famous one is "All humans are mortal. Socrates is human. Hence Socrates is mortal" Which (by the way) he proved by committing suicide. As obvious as it may seem in its simp...
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Waiting for answer What is ##log(5*8)## equal to?
##log(5*8) = 2log(2)+1 ~~ 1.60206## If ##x, y 0## then: ##log(xy) = log(x)+log(y)## (This follows from ##10^(a+b) = 10^a * 10^b## and the definition of common logarithms) ##co...
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Waiting for answer What is the SI unit for temperature?
It is the Kelvin and is assigned the unit symbol K
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Waiting for answer What are the values of the bond angles in SiCl4 ?
The structure of silicon tetrachloride is tetrahedral. Given tetrahedral geometry, ##/_ClSiCl## ##=## ##109.5^@##. ##SiCl_4## is a precise analogue of carbon tetrachloride. Why?
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Waiting for answer How to calculate standard enthalpy formation of Ca(OH)2 from...
We want the standard of formation for ##Ca(OH)_2##. Thus, our required equation is the equation where all the constituent combine to form the compound, i.e.: ##Ca +H_2+O_2 Ca(OH)_2## Let us now write down the given equations: [The first equation mentioned is incorrect, and so I have revised it...
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Waiting for answer It is 3:00pm here, and Australia is 13 hours ahead of us. Wh...
4am the next day I'm going to use a 24hour clock for this question to eliminate the whole "AM/PM" thing. It's "3pm here"  which in a 24 hour clock is 15:00. Australia is 13 hours...
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Waiting for answer How do you find values of δ that correspond to ε=0.1, ε=0.05...
Make ##delta epsilon/5##. We believe that ##lim_(xrarr2)(5x7)=3##. To show this, we need to show that we can make ##abs((5x7)3) epsilon## by making ##abs(x2) delta##. We observe that: ##abs((5x7)3)=abs(5x10)=abs(5(x2))=abs(5)abs(x2)=5abs(x2)##. Makng ##abs((5x7)3) epsilon## ca...
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Waiting for answer How do a wheel and axle work?
The wheel and axle by reducing the effect of friction on an object, thereby creating a mechanical advantage. Here is a very short video which explains it very well:
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