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Q: How do you factor 6ab - 6ac plus 6b2 - 6bc?

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6a2 + 5ab - 6b2 = (3a - 2b)(2a + 3b)

b2(b + 6)

6a2 + 5ab - 6b2 = 6a2 + 9ab - 4ab - 6b2 = 3a(2a + 3b) - 2b(2a + 3b) = (2a + 3b)*(3a - 2b)

-3b2(5b - 2)

(3a - 2b)(2a + 3b)

3(2b2 - 5b - 2)

(-3b - 4)(-2b + 5)

Considering the minus sign between 5ab and 6b2 then we have the polynomial as 6a2 + 5ab - 6b2. The polynomial is a quadratic polynomial.Steps to factorize a quadratic polynomial:1 - Multiply first term by third term. 6a2 x (-6b2) = -36a2b22 - If possible break the second term into two terms such that they multiple to -36a2b2. If not then it is factorized by Sridharacharya's formula.5ab can be broken as 9ab + (-4ab).These two terms multiply to give -36a2b2.So we can write 6a2 + 5ab - 6b2 = 6a2 + 9ab + (-4ab) - 6b2.6a2 + 9ab - 4ab - 6b2 = 3a(2a + 3b) - 2b(2a + 3b) = (2a + 3b)(3a - 2b).So the factors are (2a + 3b) and (3a - 2b).

6b^2-13bs-63s^2 is factorised to (2b-9s)(3b+7s)

a2-8a plus 12, if done correctly according to calculus, results in the number 2.

They are 1, 2, 3, 4, 6, 9, 12, 18, 36,1a, 2a, 3a, 4a, 6a, 9a, 12a, 18a, 36a,1b, 2b, 3b, 4b, 6b, 9b, 12b, 18b, 36b,1a2, 2a2, 3a2, 4a2, 6a2, 9a2, 12a2, 18a2, 36a2,1ab, 2ab, 3ab, 4ab, 6ab, 9ab, 12ab, 18ab, 36ab,1b2, 2b2, 3b2, 4b2, 6b2, 9b2, 12b2, 18b2, 36b2.

If a/b=sqrt(6), then a2=6b2 On the other hand, given integers ''a'' and ''b'', because the valuation (i.e., highest power of 2 dividing a number) of 6b2 is odd, while the valuation of a2 is even, they must be distinct integers. Contradiction.

The question is ambiguous because there is no sign shown before the final 6. Assume it is +6 since -6 would make factorisation very difficult. Thus the equation is 6b2 - 13b + 6 = 0 Then 6b2 - 4b - 9b + 6 = 0 or 2b(3b - 2) - 3(3b - 2) = 0 ie (3b - 2)(2b - 3) = 0 then 3b -2 = 0 or 2b - 3 = 0 so 3b =2 or 2b = 3 ie b = 2/3 or b = 3/2

If it were rational, then the square root of 6 would be also since sqrt 24 is sqrt(4x6)=2xsqrt(6) and here is a proof the sqrt(6) is irrational So let's assume by contradiction that the square root of 6 is rational. By definition, that means there are two integers a and b with no common divisors where: a/b = square root of 6. So let's multiply both sides by themselves: (a/b)(a/b) = (square root of 6)(square root of 6) a2/b2 = 6 a2 = 6b2 But this last statement means the RHS (right hand side) is even, because it is a product of integers and one of those integers (at least) is even. So a2 must be even. But any odd number times itself is odd, so if a2 is even, then a is even. Since a is even, there is some integer c that is half of a, or in other words: 2c = a. Now let's replace a with 2c: a2 = 6b2 (2c)2 = (2)(3)b2 2c2 = 3b2 But now we can argue the same thing for b, because the LHS is even, so the RHS must be even and that means b is even. Now this is the contradiction: if a is even and b is even, then they have a common divisor (2). Then our initial assumption must be false, so the square root of 6 cannot be rational.

$6000 the box has a square base of 20 cm x 20 cm and a height of 40 cm. Its all in the calculus b = side of base Cost = 6b2 + (96,000/b) Derivative of Cost = 12b - (96,000/b2) Solve for b ______________________________ I respectfully disagree with your answer. Try using the cube root of 16000. Or, if you prefer rounder numbers, try length = 25, width = 25, height = 25.6. Of course, this is a crude approximation, but you still end up with a total cost of $5715, so I saved you at least $285. If you used exact numbers, you'd end up with $5714 and some change. Matt

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FAQ/Walkthrough for Pokemon Mystery Dungeon: Blue Rescue Team Written by HswBaZ or BaZ Version: Final If you want to jump to a specific part of the guide, use Ctrl+F and copy any of the below parts of the Table of Contents. ----------------------------------- ----------------------------------- Table of Contents: 0a. Document License Agreement 0b. Site License Agreement 0c. About the Copyright 1a. Version History 2a. Introduction 3a. The Basics of the Game 3b. Controls 4a. Choosing your Starter/Partner 5a. Walkthrough 5b. Tiny Woods 5c. Thunderwave Cave 5d. Mt. Steel 5e. Sinister Woods 5f. Silent Chasm 5g. Mt. Thunder 5h. Great Canyon 5i. Lapis Cave 5j. Mt. Blaze 5k. Frosty Forest 5l. Mt. Freeze 5m. Uproar Forest 5n. Magma Cavern 5o. Sky Tower 6a. After the Storyline 6b. Dungeons automatically unlocked 6b1. Luminous Cave (How to Evolve) 6b2. Solar Cave 6b3. Waterfall Pond 6c. Dungeons unlocked through Friend Areas 6c1. Wyvern Hill 6c2. Darknight Relic 6c3. Desert Region 6c4. Southern Cavern 6c5. Grand Sea 6c6. Unknown Relic 6c7. Far-Off Sea 6d. New dungeons you can unlock 6d1. Howling Forest 6d2. Stormy Sea 6d3. Fiery Field 6d4. Lightning Field 6d5. Northwind Field 6d6. Mt. Faraway 6d7. Buried Relic 6d8. Northern Range 6d9. Pitfall Valley 6d10. Western Cave 6d11. Silver Trench 6d12. Meteor Cave 6d13. Joyous Tower 6d14. Purity Forest 6d15. Wish Cave 6d16. Murky Cave 6e. Catching them all 6e1. Version-Specific Pokemon 6e2. Dungeon-Specific Pokemon 6e3. Pokemon Through Evolution Only 6f. Reward Statues 6g. Unknown Dungeon Mode 7a. FAQ 8a. Contact Me ----------------------------------- ----------------------------------- =============================== Q: You FAQ is missing _______ A: You can send it to me using the "Contact Me" information below, just make sure that I can interpret what the email is about by the subject or it may be deleted right away as I get a lot of spam and if your email is just "Hi" with an unknown address I may delete it thinking it's spam. I will appreciate any assistance though. Q: How many Pokemon are recruitable in this game? A: All 386 are implemented and recruitable, along with hints to other Pokemon not included (such as Munchlax and Lucario). Q: My Pokemon is XX level why can't I evolve yet? A: You may evolve after the main storyline is over inside of a cave that opens in town. You may only bring 1 Pokemon into the cave at a time. Do a ctrl+F "Luminous Cave" for more details. If I get anymore emails asking how to evolve I will not reply as it's clearly stated multiple times in this FAQ/Walkthrough how to, and it shows me you put no effort forward to look for the answer yourself before emailing me. Q: How do I change my leader? A: You must first go to the Friend Area of the Pokemon you want to make leader, then choose Join Team, then Make Leader. This Pokemon is now your leader and your previous leader is still in your party. Q: Why won't XX event start for me, even though according to your guide it should have started. A: Make sure you have completed any previous events as you may not be able to be working on multiple events at once (Example: Complete the feather to meet the mirage Pokemon, and Unlocking Silver Trench). Q: Where is a great place to get Gummies? A: Uproar forest if you aren't looking for any in particular, bring some X-Ray Specs so you can find them easier on each floor, it nets the most (Grass/Green Gummies). Q: Why can't I catch XX Pokemon? A: First goto Wigglytuff and make sure you have that Pokemon's Friend Area unlocked, once you have that you have to realize some Pokemon have very very low chances, even in the negatives to be recruited. To counter this you will need a high leader level, high team rank, Friend Bow equipped and have your leader deliver the killing blow. Q: Why is it when I go back to capture a legendary bird, Groudon or Rayquaza I cannot reach them? A: You must not be attempting to complete a mission or the dungeon will end right at the "Save Point" area and you will not have access to that dungeons "Peak". Q: Pokemon X has a 100% recruit chance yet I can't recruit him, why? A: This means either your party is too big (some legendaries are 4 body size so you can only bring up to 2 body size with you) or your team leader did not get the final blow on the Pokemon. Also the Pokemon you are trying to catch needs to be adjacent to you. Q: I just evolved my Pokemon and he didn't have the option of learning any moves his evolved form should have learned on this level or on previous levels, why? A: Gulpin is the man, at the end of my Game Basics, I tried to give a quick overview of what Gulpin's shop can do for you, and my favorite option is the "Remember" option. Unlike linking Remember is completely free of charge, and allows you to re-learn any move that your pokmeon has already learned or should have already learned. Good example is evolving Charmander to Charizard, Charizard should have learned Heat Wave on lvl 1, but as you are most likely above lvl 36 it's not really an option. But, what you can do, is go to Gulpin and choose to relearn Heat Wave for another ability (lets say Scratch). Let's say you don't like Heat Wave and want Scratch back, you can just head right back to Gulpin's shop and Remember Scratch for free again, make sure to experiment with movesets as changing them around is completely free. Q: Where do I get HM ____? A: Dive - Whiscash gives it to you, if you lose it then Solar Cave 10th Floor, requires a Key Waterfall - Solar Cave 15th Floor, requires a Key Surf - Solar Cave 20th Floor, requires ability to cross water Fly - Wyvern Hill 30th Floor, requires a Key Rock Smash - Buried Relic 45th Floor, requires a Key Strength - Buried Relic 60th Floor, requires Rock Smash (ability) Flash - Buried Relic 70th Floor, requires a Key Cut - Buried Relic 80th Floor, requires a Key, ability to cross water and Rock Smash Q: Where do I get keys to get the HMs? A: Keys are located in Solar Cave, Desert Region and Western Cave Q: If I lost HM ___ from dying, can I get a new one? A: Yes, you can retrieve the new HM from the exact spot you found the old one. The only exception to this is HM Dive, as the first one you get is from Whiscash, but subsequent Dives will be found on the 10th Floor of Solar Cave. Q: Where do I get XX Evolution item (Stones included)? A: Sun Stone and Moon Stone are both found in Solar Cave on Floors 1, 10, and 16 (for both stones) Water Stone on the 29th Floor of Northwind Field Thunder Stone on the 29th Floor of Lightning Field Fire Stone on the 29th Floor of Fiery Field Leaf Stone, King's Rock and Up-Grade can only be found in Wish Cave Shops and then only on specific Floors. Deepseascale and Deepseatooth are both found in Grand Sea on Floors 15 (for scale) and 25 (for tooth) Beauty Scarf is found on the 59th Floor of Western Cave, requires a Key Dragonscale is on the 29th Floor of Wvyern Hill Link Cables are easiest found in Solar Cave behind the locked doors as long as you already have the HM's they contain Lunar Ribbon is on the 20th Floor of Northwind Field Sun Ribbon is on the 20th Floor of Wyvern Hill Metal Coat is on the 49th and 50th Floors of Southern Cavern Q: Where is the fastest place to level up? A: Fastest place to level up that I have seen is either the popular 1-room Monster Houses of Lugia's Silver Trench or spending some time on Floors 40-60 and 89-98 in Western Cave where most enemies (Skarmory, Absol, Tyranitar, Alakazam, Charizard, Blastoise) all give over 1000 experience each when killed by a move, and if you manage to get a monster house of them you are looking at upwards of 5000-6000 experience from just that room. If you manage to nab yourself a Tight Belt you can spend a lot more time on these floors just farming the experience. Submitted by Sixftdwarf: Just wanted to let you know I found a neat little trick. If you use a One Room Orb on a floor with a monster house, the whole floor becomes a monster house. A useful trick if you're trying to level, but not as useful if you're barely surviving, like I was at the time I discovered this. Q: Where do I get the Friend Bow? A: The easiest place to get it, in my opinion, is bringing a key to Mt. Faraway on the 30th Floor, you can also get them from Kecleon shops in Joyous Tower. The Friend Bow increases your chance to recruit a Pokemon by 10% when equipped. Q: Where do I get the Tight Belt? A: The Tight Belt is a very rare item that can only be found in a few specific spots. It can appear randomly on Floors 1-5 and 51-54 of Far-off Sea, but the chances are low, Floors 1, 4, 20, 21, 50 and 60 of Purity Forest and Floors 1-4 of Marvelous Sea. It can also be found in Purity Forest shops and as a Buried item in Far-Off Sea. Q: What are Buried Items? A: Buried items may only be found by smashing walls with Rock Smash or having a Pokemon with the ability Pickup along, he will have a chance of picking up a Buried item every level. Also a Ghost Pokemon while traveling through walls can pickup Buried items. Personally, I've had a very hard time getting Buried Items, hopefully you have better luck. --Submitted by OmegaDestroyer -I had a Swampert equipped with a Mobility/Mobile Scarf, and he walked over a part of a wall and found a (TM) Giga Drain hidden in the wall, so I was thinking Ghost-type Pokemon as well as Pokemon using the Mobile Scarf may be able to simply walk over a buried item in a wall to pick it up. I'd also note that Ghost/Mobile are a more efficient way of getting to the items that need Rock Smash, such as the HMs in Buried Relic. --Some more notes on Buried Items On average I would say there are 3-6 items per floor with 4-5 being the norm, don't stop looking after only 3 items. The Pickup ability is not required as Linone does not seem to find any uniquely buried items upon entering a new floor, but from what I have heard he can. When breaking the walls, have both of your Pokemon mobile, breaking them 2 at a time is much more efficient. An item will eventually appear and you can interact with the item as you see fit (picking it up, using it, throwing it, etc.) After knowing all of this, just systematically remove all the walls on every level (this will not work on boss levels such as the Regi's) and reap the rewards. Q: Where is Mew? A: Mew appears in Buried Relic between 36th Floor and 99th Floor as long as you carry the Music Box in your Toolbox (Do not Use it, just have it with you). He may appear more than once between those floors, but he can only appear when you reach the floor (he will be one of the original red dots and cannot come in if you wait). Sometimes he will use Transform and you will see "Mew used Transform" at the bottom which is an easy tipoff he is on this floor, but he will not always use it and his recruit chance is low so let the hunting begin! Q: Where did Skarmory go? He disappeared from Mt. Steel. A: Skarmory can only be caught in Wish Cave (Floor 35+) or Western Cave, (Floor 40-49)so you probably will not have a Skarmory of your own for quite awhile. Q: Why can't I catch the legendary birds? A: They can only be caught after the main storyline is over, they also have a body size of 4, so make sure not to bring more than 2 body size with you. Finally, they do not have 100% recruit chance so be prepared to spend a little while trying to catch all 3. Q: What happens when you spend a very long time on a specific floor? A: There is actually a system built in, that there is a limited number of turns you can spend on a single dungeon floor. If you are approaching that number, you will see messages about a wind blowing or a mysterious Pokemon. If you see those messages it's a hint to find the stairs asap, as if you stay on a floor for the maximum amount of turns you will be blown out of the dungeon (same circumstances as if you had died, losing items, etc.). This applies to every dungeon so don't loiter around too long. Q: What is the best Pokemon to bring into a level 1 dungeon? A: It all comes down to personal preference, I would personally recommend Charizard (it may not level super fast, but it doesn't level as slow as others like Blastoise). His 4 level 1 abilities including Heat Wave are very useful and his stats are fantastic. If you have a personal preference you can e-mail me about it and I'll post your preference and why as long as it's valid reasoning. Q: Why can't I catch a Kecleon? A: First since his base recruit chance is -33.9% you must be lvl 90+ with Friend Bow equipped to get the maximum 34% boost bringing your recruit chance up to 0.1% or 1 in 1000. The Kecleons are lvl 90 and can have any of their possible power-up moves. Another note is they move twice for every one of your turns, so if they can reach you in a single turn, they can also attack you. You will want to come very prepared for this, bringing at least 10 Reviver Seeds, an Escape Orb, Friend Bow, X-Ray Specs and maybe some Oran Berries. You will also want to come alone as your partners will just waste Reviver Seeds, and your leader needs to get the final blow to recruit one anyway. Silver Thorns are a great way to damage them if they are standing far away, so you can also bring some of those. To engage the Kecleons you must first steal from their shop. Before you attempt this make sure you know where the stairs are as you will want to make a break for them once you finally do catch a Kecleon (Escape Orbs are disabled on the floor you are fighting Kecleons). Once engaged, Kecleons will continue to spawn for eternity coming to fight. Since the recruit chance is 1 in 1000 be prepared to spend awhile attempting this, use the X-Ray Specs to find their shops on each floor. Note: If the Kecleons turn you into a decoy (by using Substitute) you can still attack and recruit them, but they will completely ignore you until it wears off. Q: How do I get the dungeons Marvelous Sea, Oddity Cave, Remains Island, and Fantasy Strait, also what is so special about them? A: They are unlocked through Wonder Mail Codes! The following codes are straight from ZombieInfection's Walkthrough located here: Fantasy Strait: Client: Jigglypuff Objective: Find Pikachu. Place: Fantasy Strait B1F Difficulty: B Reward: Red Gummi Wonder Mail: ??M1 CJY? 44?P HF?8 7J6R (...)M?1 Marvelous Sea: Client: Jigglypuff Objective: Find Pikachu. Place: Marvelous Sea B1F Difficulty: B Reward: Red Gummi Wonder Mail: ??MH CJ(...)? 44?P CF?8 7J6R (...)M?1 Oddity Cave: Client: Jigglypuff Objective: Find Pikachu. Place: Oddity Cave B1F Difficulty: B Reward: Red Gummi Wonder Mail: ??MS CJ(...)? 44?P MF?8 7J6R (...)M?1 Remains Island: Client: Jigglypuff Objective: Find Pikachu. Place: Remains Island B1F Difficulty: B Reward: Red Gummi Wonder Mail: ??M4 CJY? 44?P CF?8 7J6R (...)M?1 The sad thing is, they aren't really all that special, they have no new Pokemon, but they are fun to venture through. I've also noted that they seem to have high appearance rates for some of the rarer items in the game. That in itself is worth your time to explore them. Note: These dungeons have between 15-25 Floors each, so they are not too

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