How Is The Product Rule Related To Integration By Parts Which Method Do You Like

How is the product rule related to integration by parts?

Which method do you like better: integration by parts or integration by substitution? Explain why, and give an example that is new to this forum.

 
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How Long Would It Take For An Ice Sculpture To Melt Completely Into A Puddle Of

How long would it take for an ice sculpture to melt completely into a puddle of water? The original dimensions were 40″x20″x10″ shaved into a Minnie Mouse with a head of 20″x20″ and a base of 20″x20″? Obviously, this would be a good estimate…days/hours/minutes?? Thanks so much.

 
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How Long Will It Take To Pay Off A Loan Of 52000 At An Annual Rate Of 9 Percent

  1. How long will it take to pay off a loan of ​$52000 at an annual rate of 9 percent compounded monthly if you make monthly payments of ​$750​? Use five decimal places for the monthly percentage rate in your calculations.
 
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How Many Comparisons Are Necessary To Find The Largest And Smallest Of A Set Of

How many comparisons are necessary to find the largest and smallest of a set of n distinct elements? Do not assume the answer must involve sorting. It could but does not need to do so. Try to be as efficient as you can.

 
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How Long Will It Take To Pay Off A Loan Of 46 000 At An Annual Rate Of 9 Percent

How long will it take to pay off a loan of ​$46,000 at an annual rate of 9 percent compounded monthly if you make monthly payments of ​$600​? Use five decimal places for the monthly percentage rate in your calculations.

 
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How Many Chlorides Of Ccl4 Would Be Replaced With Hydrogens To Give Molecules Of

how many chlorides of CCl4 would be replaced with hydrogens to give molecules of C3v and C2v symmetries?repeat for BF3 to give 2v symmetry.Are any of these molecules without Sn axes and therefore optically active?

 
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How Long Will It Take For 25 Of The C 14 Atoms In A Sample Of C 14 To Decay

How long will it take for 25% of the C-14 atoms in a sample of C-14 to decay?     

for this one the answer is t=2400

If a sample of C-14 initially contains 1.6 mmol of C-14, how many millimoles will be left after 2225 years?     

I don’t understand how to solve this.

 
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How Many Cells Does The Human Body Have

Many. It depends on the person dimensions.

Intro

The only way I can see to tackle this problem is “being” a physicist. First of all, this is a quite difficult question, it could take a whole scientific paper to make the right estimation, likely it already exist out there.

Method 1: weighting to know

The first way is comparing the weight of a person with the weight of a single cell:

##N=P/C##

Where: N- number of cell; P- person’s weight; C- cell’s typical weight.

Method 2: measuring to know

The second way is by calculating:

##N=P_V/C_V##

Where: N- number of cells; PV- person’s volume; CV- cell’s volume.

Final remarks

I leave the math to you. A third way is comparing the surfaces instead of volumes in method 2, thus you need to make the calculation for each organ. All these methods will give you an approximation, quite bad, but it is a good starting point.

Some calculationsCell weight[1]. ##3.5*10^-9## Assumptions . All cells are the same, e.g. bones, brain, hair… The majority of the body mass, say 90%, is compacted within cells.

Take a person of 70 Kg, therefore ##2*10^14## cells. Just to compare the world’s population is estimated as ##7*10^9##

Limitations. this calculation is for healthy people, some medical condition such as obesity may alter the cell natural properties such as weight. Further, we took as granted that all cells are the same, wrong! but useful.

There is a high probability that this number is smaller than the real value, just in the brain we have ##1*10^10## [2].

Cited references1. Molecular Cell Biology. 4th edition. See http://www.ncbi.nlm.nih.gov/books/NBK21473/. Accessed on 09 02 2016.2. List of animals by number of neurons. https://en.wikipedia.org/wiki/List_of_animals_by_number_of_neurons. Accessed on 09 02 2016.

 
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How Long Will It Take An Investment To Quadruple If It Earns 8 Compounded Semi A

 Rounded to the nearest quarter year, how long will it take an investment to quadruple if it earns 8% compounded semi-annually? did I did the calculations right or am I missing something ?

So assuming that the initial investment is =P

Then the future value of the investment which is A= 4P

The rate of the interest; r=8%=0.08

The number of compounding period per year= 2

So let time token= t years

In order to solve this problem I will be using the compound interest formula;

A= P(1+r)^nt

4P= P (1+0.08/2)^2t

4= (1.04)^2t

Ln4= 2t In(1.04)

t=In (4)/ 2 In (1.04)

= 17.67 which is approximately equal to = 18 years 

final answer, 18 years

 
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How Many Calories Have You Consumed You Have Consumed 1 760 Calories If You Eat

If you eat the entire bag, how many calories have you consumed?

                          You have  consumed 1,760 calories

If you eat the entire bag, what percent of daily value of fat have you consumed?

If you eat one serving, what percent of the daily value of saturated fat have you consumed?

12

If you eat one serving, how many grams of dietary fiber have you consumed?

1gram

Are there enough servings in this container to reach 100% of the recommended daily value for vitamin C?

no

 
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