Homework answers and tutorials

Waiting for answer What is the power series of ##f(x)= ln(5x)##? What is it's...
Since the ##int1/(5x)##= ##ln(5x)## get the power series representation of ##1/(5x)##. Algebraically manipulate the equation to get the equation for the sum of the (which is ##Sn= a/(1r)## ). Using this we could use the power series representation of the geometric series ##sumar^(n)## such...
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Waiting for answer How do you find the quotient of 15 divided by 5/6?
##18## Quotient is the answer after you divide one number (dividend) by another (divisor). In this question ##15## is the dividend. Whereas, ##5/6## is the divisor. Calculation:...
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Waiting for answer What is the mathematical formula for the Fstatistic?
here's the mathematical formula. SSR Sum of Squares of Residuals SSRUR  SSR of Unrestricted Model SSRR  SSR of Restricted Model q  number of restriction (the number of independent variables are dropped k  number of independent variables nk1 denominator degrees of freedom
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Waiting for answer A box with a square base and open top must have a volume of...
The Volume of a box with a square base ##x## by ##x## cm and height ##h## cm is ##V=x^2h## The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area. The surface area of the box described is ##A=x^2 +4xh## W...
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Waiting for answer Can a scalar product of two vectors can be negative?
Yes, it can. Note For denoting vector quantities, I will bold the letters. The unbolded letters will be the magnitude, or scalar quantities, of the vectors. Let's first define the scalar (or dot) product. The scalar product of two vectors can either defined as: (1) A ##*## B = AB##cos(theta)#...
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Waiting for answer What is declarative memory?
Declarative memory is sometimes called the explicit memory. The declarative memory refers to your memories that can be recalled consciously. Examples are: world facts, phone numbers...
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Waiting for answer What is an epilogue?
It's a section at the end of a book and/or play that serves as a comment on or a conclusion to what has happened. Usually, the word epilogue is written as a subtitle/chapter heading...
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Waiting for answer How do you find the centerradius form of the equation of th...
Use the equation and plug in the center and the radius. ##(x+2)^2+y^2=25## Recall the equation for a circle: ##(xh)^2+(yk)^2=r^2## Where ##(h,k)## is the center of a circle wit...
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Waiting for answer How do astronomers define a light year?
The problem with the definition of light year (ly) is the duration of year. IAU year is Julian 365.25 days of 86400 s/day. An improved ly is for Gregorian 365.2425 days Light seco...
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Waiting for answer What is the difference between nominal GDP and real GDP?
The difference is in the way both GDP are measured. Suppose we want to differentiate between the nominal and real GDP of the United States in the year 1995. Here are the statistics...
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Waiting for answer How long does it take for a star to form?
For a solartype star, the formation time is about 10 million years; for more massive stars, it takes about 100,000 years. A solartype star forms in about 10 million years. The firs...
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Waiting for answer How many yards are in a tenth of a mile?
There are 176 yards in 1 tenth of a mile. If 1 mile is 1760 yards, then 1 tenth of a mile is 1 divided by 10 which equals 0.1, if you multiply 0.1 by 1760 you get 176 which is the n...
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Waiting for answer How do you find limits using a graph?
Assuming no points of discontinuity, the limit of a function as x approaches some number, c, can be found by finding the value of the function at x = c. In other words, for continuous intervals ##lim_(x c)f(x)=f(c)## Look at the graph of ##f(x)=x^2## below. As ##x 2##,the function value ap...
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Waiting for answer Is the dehydration and hydration of cobalt(II) chloride (##"...
Yes, it is. Anhydrous cobalt(II) chloride, ##"CoCl"""_2##, is actually hygroscopic , which means that it will readily attract water from its surroundings, usually moisture from the a...
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Waiting for answer What is the difference between a discrete uniform distributi...
An uniform distibution is a distribution that gives to all its values the same probability to occur. Continous case: the equal probability is given to all the values into an interval ##[a,b]##, which contains an infinite number of values. the value of the probability will depend on the range of...
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Waiting for answer How do you graph: ##y=3x^27?##
Because x is squared, the nonzero integers for x can be either positive or negative, and the result for y will be the same. The resulting graph will be a parabola. Sample Calculation: ##y=3x^27## If ##x=3##, ##y=3*3^27=3*97=277=20## ##y=20## If ##x=3##, ##y=3*3^27=3*97=277=20## ##y...
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Waiting for answer An astronaut has a mass of 100 kg and has a weight of 370 N...
##g=3.7N##/##kg## The weight(##w##) of an object with mass (##m##) in a gravitational field with strength(##g##) are related by the formula: ##w=mg## ##= g=w/m## In our case: ##=...
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Waiting for answer Write the net ionic equation for the reaction that will occu...
##SO_(3(s))^(2)+2H_((aq))^+rarrSO_(2(g)) +H_2O_((l))##
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Waiting for answer What is the opposite and reciprocal of pi3?
The opposite is what makes ##0## when added The reciprocal is what makes ##1## when multiplied Opposite: Usually you 'flip' the signs: ##pi+3## because ##(pi3)+(pi+3)=0## Recipr...
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Waiting for answer What biomolecules are found in the cell membrane?
Cell membranes contain a variety of biological molecules, notably lipids and proteins. Material is incorporated into the membrane, or deleted from it, by a variety of mechanisms: The cell membrane consists of three classes of amphipathic lipids: phospholipids, glycolipids, and sterols. The amount o...
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