Doing percentages is easy with Soulver. It's great for working out sales tax and discounts. Just type naturally, for example $330 + 10%, $99.95 - 20%. Files & Syncing. Soulver can sync your calculations with iCloud or Dropbox, and email out beautifully formatted emails of your work from inside Soulver.
Purplemath
- MacDrop Download Cracked Mac Apps and Games for Free, Updated Daily with all the Best Most Popular Mac Apps in the Mac App Store.
- Soulver 2.7.1 add to watchlist send us an update. 6 screenshots: runs on: OS X 10.10 or later (Intel only) file size: 6.4 MB main category.
- Base 2 Binary form base 8 Octal form base 10 Decimal form (common used) base 16 Hexadecimal form (hexa) Examples. 3424 (base 10) = 00 (base 2).
First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
MathHelp.com
Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
Acorn 5 4 download free. = 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
(f /g)(x) = (3x + 2)/(4 – 5x)
Content Continues Below
Given f (x) = 2x, g(x) = x + 4, and h(x) = 5 – x3, find (f + g)(2), (h – g)(2), (f × h)(2), and (h / g)(2).
This exercise differs from the previous one in that I not only have to do the operations with the functions, but I also have to evaluate at a particular x-value. To find the answers, I can either work symbolically (like in the previous example) and then evaluate, or else I can find the values of the functions at x = 2 and then work from there. It's probably simpler in this case to evaluate first, so:
f (2) = 2(2) = 4
g(2) = (2) + 4 = 6
h(2) = 5 – (2)3 = 5 – 8 = –3
Now I can evaluate the listed expressions:
(f + g)(2) = f (2) + g(2)
(h – g)(2) = h(2) – g(2)
= –3 – 6 = –9
(f × h)(2) = f (2) × h(2)
(h / g)(2) = h(2) ÷ g(2)
= –3 ÷ 6 = –0.5
Then my answer is:
(f + g)(2) = 10, (h – g)(2) = –9, (f × h)(2) = –12, (h / g)(2) = –0.5
If you work symbolically first, and plug in the x-value only at the end, you'll still get the same results. Either way will work. Evaluating first is usually easier, but the choice is up to you.
You can use the Mathway widget below to practice operations on functions. Try the entered exercise, or type in your own exercise. Then click the button and select 'Solve' to compare your answer to Mathway's. (Or skip the widget and continue with the lesson.)
Movist 1 3 17 download free. Please accept 'preferences' cookies in order to enable this widget.
(Clicking on 'Tap to view steps' on the widget's answer screen will take you to the Mathway site for a paid upgrade.)
Givenf (x) = 3x2 – x + 4, find the simplified form of the following expression, and evaluate at h = 0:
This isn't really a functions-operations question, but something like this often arises in the functions-operations context. This looks much worse than it is, as long as I'm willing to take the time and be careful.
Affiliate
The simplest way for me to proceed with this exercise is to work in pieces, simplifying as I go; then I'll put everything together and simplify at the end.
For the first part of the numerator, I need to plug the expression 'x + h' in for every 'x' in the formula for the function, using what I've learned about function notation, and then simplify:
f(x + h)
= 3(x + h)2 – (x + h) + 4
= 3(x2 + 2xh + h2) – x – h + 4
= 3x2 + 6xh + 3h2 – x – h + 4
The expression for the second part of the numerator is just the function itself:
Now I'll subtract and simplify:
f(x + h) – f(x)
= [3x2 + 6xh + 3h2 – x – h + 4] – [3x2 – x + 4]
= 3x2 + 6xh + 3h2 – x – h + 4 – 3x2 + x – 4
= 3x2 – 3x2 + 6xh + 3h2 – x + x – h + 4 – 4
= 6xh + 3h2 – h
All that remains is to divide by the denominator; factoring lets me simplify:
Now I'm supposed to evaluate at h = 0, so:
6x + 3(0) – 1 = 6x – 1
simplified form: 6x + 3h – 1
value at h = 0: 6x – 1
Affiliate
That's pretty much all there is to 'operations on functions' until you get to function composition. Don't let the notation for this topic worry you; it means nothing more than exactly what it says: add, subtract, multiply, or divide; then simplify and evaluate as necessary. Don't overthink this. It really is this simple.
Oh, and that last example? They put that in there so you can 'practice' stuff you'll be doing in calculus. You likely won't remember this by the time you actually get to calculus, but you'll follow a very similar process for finding something called 'derivatives'.
![Soulver 2 6 5 Soulver 2 6 5](https://www.acqualia.com/media/images/soulver/features/AdvancedFeatures.png)
URL: https://www.purplemath.com/modules/fcnops.htm
6.5×54mm Mannlicher–Schönauer | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Type | Rifle | |||||||||||
Place of origin | Austria-Hungary | |||||||||||
Specifications | ||||||||||||
Parent case | 6.5×53mmR | |||||||||||
Case type | Rimless, bottleneck | |||||||||||
Bullet diameter | .264 in (6.7 mm) | |||||||||||
Neck diameter | .295 in (7.5 mm) | |||||||||||
Shoulder diameter | .428 in (10.9 mm) | |||||||||||
Base diameter | .452 in (11.5 mm) | |||||||||||
Rim diameter | .454 in (11.5 mm) | |||||||||||
Case length | 2.11 in (54 mm) | |||||||||||
Overall length | 3.00 in (76 mm) | |||||||||||
Case capacity | 44.5 gr H2O (2.88 cm3) | |||||||||||
Rifling twist | 1 in 9' | |||||||||||
Primer type | Large Rifle | |||||||||||
Ballistic performance | ||||||||||||
| ||||||||||||
Test barrel length: 17.5 Source(s): Factory advertised velocity |
The 6.5×54mm Mannlicher–Schönauer also known as 6.5×54 Mannlicher–Schönauer Greek is a 6.5 mm (.264' cal.) rifle cartridge used in the Mannlicher–Schönauerrifle. 6.5 mm bullets are typically known for their high ballistic coefficients and sectional density, which gives them great stability in flight, resistance to wind deflection, and high penetrating power.
Hunting use[edit]
A commercial cartridge atop a 10-round box
Walter Dalrymple Maitland 'Karamojo' Bell, who shot more than 1,500 elephants[1] in the period 1895-1930, had a very high regard for the 6.5mm Mannlicher–Schoenauer, using it for approximately 300 of these kills.[2] Daniel Fraser of Edinburgh, Scotland built him a special, lightweight rifle in that calibre. Mirror for roku 2 7 1. He only set it aside when he was unable to acquire dependable ammunition for it, and turned to a .275 Rigby Mauser magazine rifle instead. The .275 Rigby cartridge is interchangeable with the 7×57mm Mauser. Bell's legendary name has remained closely linked with the 7mm Mauser, but the 6.5 Mann.–Sch. was his first preference. [3]
The 6.5×54mm was referred to by the writer Ernest Hemingway as the .256 Mannlicher. Though it never replaced his favorite .30-06 Springfield, he did speak highly of it as a lion cartridge, and it was the favorite of his African guide and professional hunter Phillip Percival.[4] The Kenya game warden and naturalist A. Blaney Percival also favored the 6.5×54mm.[5]
In part, the 6.5×54mm's reputation stems from its use of a 160-grain (10 g) bullet, giving the projectile very high sectional density and therefore penetrating ability. It requires a fast rate-of-twist rifling (about 1 in 9') to stabilize such a long bullet.
Military use[edit]
The 6.5×54mm Mannlicher–Schönauer cartridge was adopted by the Greek Army, along with the Mannlicher–Schönauer rifle in 1903. From 1906 until the German invasion and capitulation of Greece in April 1941, it was the standard military cartridge of the Greek Army. During the German occupation it was used by Greek resistance fighters and during the Greek Civil War (1946 - 1949) by the Greek Gendarmerie, militia units and communist fighters of the Democratic Army of Greece. During the German occupation, Carcano rifles captured during World War II were also converted to 6.5×54mm Mannlicher–Schönauer and used by Greek forces.[6][7]
The Austrian Army used the 6.5×54mm Mannlicher–Schönauer cartridge during World War I. Some Austrian Army regiments and the Polish Legion, were armed with confiscated Mannlicher–Schönauer rifles produced for the Greek Army. Also the Austrian Army used the 6.5×54 Mannlicher–Schönauer cartridge in converted 6.5×50mm Arisaka rifles captured from the Russian Army.
See also[edit]
Soulver 2 6 5 X 4
- 6.5×53mmR - The rimmed Romanian and Dutch service rifle cartridge from the 1890s through World War II
- 6.5×47mm Lapua - a 2005 cartridge that fires the same diameter and weight 9.0g bullet as the 6.5×54mm but achieves a faster muzzle velocity
Soulver 2 6 5 0
References[edit]
- ^'W.D.M. Bell and His Elephants'. Retrieved 26 October 2014.
- ^'W.D.M. Bell and His Elephants'. Retrieved 26 October 2014.
- ^Ganyana, 'The 6.5 X 54 Mannlicher-Schoenauer,' African Hunter 5 (February, 1999)
- ^Ernest Hemingway, Hemingway on Hunting (NY: The Lyons Press, 2001)
- ^A. Blaney Percival, A Game Ranger on Safari (London: Nisbet & Co., 1928)
- ^Christos Sazanidis (Χρήστος Σαζανίδης), Arms of the Greeks (Τα όπλα των Ελλήνων), Thessaloniki (Θεσσαλονίκη), 1995
- ^Hellenic Army General Staff / Army History Directorate (Γενικό Επιτελείο Στρατού / Διεύθυνση Ιστορίας Στρατού), The armament of Greek Army 1868 - 2000 (Οπλισμός Ελληνικού Στρατού 1868 2000), Athens (Αθήνα), 2000
See also[edit]
Retrieved from 'https://en.wikipedia.org/w/index.php?title=6.5×54mm_Mannlicher–Schönauer&oldid=926680006'