Numerical Analysis and Simulation

25+25+10

50+5+5

If 100-300 is inclusive, the answer is 41.

Hypersomnia is characterized by excessive daytime sleepiness and prolonged nighttime sleep, while narcolepsy involves sudden and uncontrollable episodes of falling asleep, often accompanied by cataplexy (sudden loss of muscle tone). Narcolepsy is a neurological disorder, while hypersomnia can be a symptom of various underlying conditions.

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see related links below for explanation of both

1 fluid ounce (US Customary) is about 29.574 milliliters.

There is very little information in the question to go on, but it looks like the next letter is R - an interval of five letters.

If you are typing the numbers into a computer program or a calculator, just type them, such as 12345678. If you are writing them down for someone else to read them, then you should group them in three's, from the decimal point, such as 12,345,678. Depending on the normal conventions for your country, you might use a period instead of a comma and, for the decimal point, a comma instead of a period.

g

There are 28.349523125 grams in one avoirdupois ounce, so multiply 28.349523125 by 0.3 to get 8.5048569375 grams in 0.3 ounces, and then divide that by 2.8 to get 3.03744890625 2.8 gram "chunks" in 0.3 ounces.

About 1.33 ml.

5.428 grams is 0.1915 avoirdupois ounces. (28.349523125 g/oz)

With the Eyeball Method, the dieter's hand is used to judge portion sizes. For low fat proteins (chicken and fish), the portion should be approximately the size and thickness of the dieter's palm.

The magnitude of an integer is the value of the integer with a positive (plus) sign.

|5| = +5 = 5

|-5| = +5 = 5

It takes more values of the integrand into consideration in forming its estimate. Simpson's uses just three values in the domain of integration. Romberg's uses as many as required to achieve the desired accuracy. Please see the links.

You will not find 21.91 cm on a ruler. The metric side of te ruler is usually graduated in centimetres, with each centimetre divided into 10. So the nearest you will get is 21.9 cm.

Decimal.

this was very easy to do.but you should know how to divide a number by 2.

Eg:-

46/2=23 -0

23/2=11 -1

11/2=5 -1

5/2=2 -1

2/2=1 -0

1/2=0 -1

Answer=101110

Error is the term for the amount of difference between a value and it's approximation, and is represented by either an upper or lower case epsilon (E or ε)

Eabs, absolute error, is |x-x*| where x* is the approximate of x, and gives a value that shows how far away the approximate is as a numerical value

Erel, relative error, is |x-x*| / |x| and gives a value that shows how far away the approximate is as a decimal percentage i.e. if you times the relative error by 100 you get the percentage error of the approximation.

It could be divergent eg 1+1+1+1+...

Or, it could be oscillating eg 1-1+1-1+ ...

So there is no definition for a sequence that is not convergent except non-convergent.

Hindu-Arabic numeral system

By x3 I assume that you mean x3. In which case f(x)=x3-2x+1, and f'(x)=3x2-2.

Therefore our iteration formula is:

xn+1=xn- (xn3-2xn+1)/(3xn2-2)

Starting with x0=0 we get:

x1=0.5

x2=0.6

x3=0.617391304

x4=0.618033095

x5=0.618033988

x6=0.618033988

Starting with x0=0.9 we get:

x1=1.065116279

x2=1.009457333

x3=1.000255451

x4=1.000000195

x5=1

x6=1

Starting with x0=-1.5 we get:

x1=-1.631578947

x2=-1.618183589

x3=-1.618034007

x4=-1.618033989

x5=-1.618033989

The 3 real roots to f(x) are x=-1.618033989, x=0.618033988, and x=1