Homework answers and tutorials

Waiting for answer What are sunspots?
A sunspot is a temporary "cool" region in 's photosphere (the visible surface of the Sun), associated with an active region, with a magnetic field intensity of a few 0.1 T. Sunspots appear darker than the surrounding photosphere (at about 5800 K) because they are cooler (about 3800 K). The darkest,...
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Waiting for answer What is the past tense of "sing"?
The (simple) tense of the verb sing is sang. In English there are different past tenses. I give the form of Past Simple tense. The verb sing is irregular and its past simple form i...
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Waiting for answer What is the derivative of ##y=arctan(4x)##?
Answer ##4/(16x^2 + 1)## Explanation First recall that ##d/dx[arctan x] = 1/(x^2 + 1)##. Via the : 1.) ##d/dx[arctan 4x] = 4/((4x)^2 + 1)## 2.) ##d/dx[arctan 4x] = 4/(16x^2 + 1)## If it isn't clear why ##d/dx[arctan x] = 1/(x^2 + 1)##, continue reading, as I'll walk through proving the ident...
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Waiting for answer What is the area of a circle with circumference of 6.28?
Approximately ##3.14## The formula for circumference of a circle with radius ##r## is ##2 pi r##. The formula for the area of a circle with radius ##r## is ##pi r^2##. ##pi ~~ 3.14...
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Waiting for answer What element is represented by ##[Ar]4s^2 3d^10 4p^1##?
The element is gallium (Ga), which has the 31. ##["Ar"]"4s"^2"3d"^10"4p"^1"## If you look up the element argon, Ar, on , you will see that its atomic number is 18, which means that...
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Waiting for answer How fast does earth rotate near the equator?
Circumference of Earth is 40075 kilometers. 40075/24=1669.7 kilometers per hour. Earth rotates it self once in 24 hours So speed at equator is 1669.7 kilometer per hour\ Actual rota...
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Waiting for answer How do you write ##0.875## as a fraction?
##0.875 = 7/8## Fractions, decimals and percents are all different ways of writing the same value. They are interchangeable. 3 decimal places means you working with thousandths....
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Waiting for answer Which word in the sentence is a predicate nominative? Could...
1st sentence B. prize 2nd sentence A. captain A predicate nominative is a noun or pronoun that renames the subject of the sentence. A predicate nominative follows a linking ve...
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Waiting for answer How do you find a vertical asymptote for y = sec(x)?
The vertical asymptotes of ##y=secx## are ##x={(2n+1)pi}/2##, where ##n## is any integer, which look like this (in red). Let us look at some details. ##y=secx=1/{cosx}## In order to have a vertical asymptote, the (onesided) limit has to go to either ##infty## or ##infty##, which happens when...
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Waiting for answer What is the complementary angle to 42°?
##48^@## Complementary angles are angles that when added, equals to ##90^@##. To find the complementary angle of ##42^@##, simply subtract it from ##90^@##.
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Waiting for answer What does positive and negative connotation mean?
Positive and negative connotations denote how a word or phrase is used positively or negatively in society. Denotation is the dictionary definition of a word. For example, according...
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Waiting for answer How much energy is required to melt a 20.0 lb bag of ice ar...
##3030kJ## Your method is 100% correct, but you made a small calculation error in converting the lb to g, by a factor of 10, resulting in you final answer being out by a factor of 10...
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Waiting for answer What is ##(3pi)/8 ## radians in degrees?
##(3pi)/8## radians ##= 67.5^@## The standard ratio is ##(180^@)/(pi " radians")## ##(3pi)/8 " radians"## ##color(white)("XXX")=(3 cancel(pi))/8 cancel " radians" xx (180^@)/(cancel...
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Waiting for answer What is the meaning of hepatic flexure?
It's the other name for right colic flexure! Since the right colic flexure is related to the (inferior border of) liver, it is also called 'hepatic' flexure.
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Waiting for answer What is the structural formula of cyclobutane?
Cyclobutane, ##C_4H_8##, is a fourmembered carbocycle. Cyclobutane has 2 hydrogen atoms less than does butane, ##C_4H_10##. A chemist would say that the ring has one degree of unsa...
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Waiting for answer What is the valence electron configuration for neon?
It is a noble gas, so it has a full octet, with eight electron dots around the outside of the symbol, Ne, though I can't draw it, you can picture it as two dots on each side of the symbol. As with all noble gases the electron configuration has a full octet of ##s^2 p^6##. IN the case of Neon it wo...
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Waiting for answer What was Roosevelt's goal in creating the SEC and FDIC?
The SEC and FDIC were created to create stability in the US banking system and capital markets for the average consumer. During the 1920s, the stock market boomed. Money flowed in an...
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Waiting for answer How did the 13th, 14th, and 15th amendments affect slavery a...
Slavery was abolished and AfricanAmericans were protected. 13th amendment abolished slavery. 14th granted citizens protection. 15th was male suffrage. However, during the Reconstru...
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Waiting for answer How do you find the integral of ##(t)sec^2(2t)dt##?
Use . Remember that ##tantheta=sintheta/costheta##. Let ##f(t)=t## so that ##f'(t)=1##. Let ##g'(t)=sec^2(2t)## so that ##g(t)=1/2tan(2t)##. Hence ##inttsec^2(2t)dt## ##=t/2tan(2t)1/2inttan(2t)dt## ##=t/2tan(2t)1/2intsin(2t)/cos(2t)dt## ##=t/2tan(2t)+1/4int(2sin(2t))/cos(2t)dt## ##=t/2tan...
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Waiting for answer What is the difference between Intermediate Value Theorem a...
The Intermediate Value Theorem (IVT) says functions that are continuous on an interval ##[a,b]## take on all (intermediate) values between their extremes. The Extreme Value Theorem (EVT) says functions that are continuous on ##[a,b]## attain their extreme values (high and low)....
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