2 + s(t) -s
-2=4r+s s=-4r-2 or s=-(4r+2)
d[DeltaDirac(t)]/dt
Find I = ∫ sec³ x dx. The answer is I = ½ [ log(sec x + tan x) + sec x tan x ]. * Here is how we may find it: Letting s = sec x, and t = tan x, we have, s² = 1 + t², dt = s² dx = (1 + t²) dx, and ds = st dx. Then, we obtain, dI = s³ dx = s dt. * Now, d(st) = s dt + t ds = dI + t ds = dI + st² dx = dI + s(s² - 1)dx = dI + s³ dx - s dx = 2dI - s dx; whence, 2dI = s dx + d(st). * Also, we have, s = (s² + st) / (s + t), whence s dx = (s² + st) dx / (s + t) = (dt + ds) / (s + t) = d(s + t) / (s + t) = d log(s + t). This gives us, 2dI = d log(s + t) + d(st). Integrating, we easily obtain, I = ½ [ log(s + t) + st ], which is the answer we sought. * Checking that we have arrived at the correct answer, we differentiate back: d(st) / dx = (st)'= st' + ts' = s³ + st² = 2s³ - s. d log(s + t) / dx = log'(s + t) = (s + t)' / (s + t) = (st + s²) / (s + t) = s. Thus, 2I' = [ st + log(s + t) ]' = 2s³; and I' = ½ [ st + log(s + t) ]' = s³, confirming that our answer is correct.
s = Standard form.
yes s s s s s s s s s s s s s s s s s s s s s
nnn s s s s s s s s s s s s s s s s s sss s s s s s
your mom' ss s s s s s s sss s s s s s s s
Words that can be formed: Devastation:AdAdoAdsAid (s)Aide (s)And (s)Anode (s)Ante (s)AntiAnt (s)AteAvidAvoid (s)DaisDate (s)DeistDen (s)DieDiesDiet (s)Diva (s)Divan (s)Dive (s)DoeDoesDoneDoseEatEdit (s)End (s)Eon (s)IdeaIdeasIdesInsetIon (s)ItsNaive (s)NaivestNave (s)NeatNestNet (s)Nit (s)NodNodeNoesNoiseNoseNote (s)NotOdeOdesOneOnsetOven (s)SadSaidSaintSandSatinSeaSendSetonSetSideSiteSitSnotSodSotStaidStainStationStaveSteadSteinStetStone (d)Tad (s)Tan (s)Tat (s)Tea (s)TenTestTideTidesTiedTieTiesTine (s)Tin (s)Tone (s)Ton (s)Tote (s)Tot (s)VainestVainVane (s)VatVein (s)VestVetoVet (s)ViaViand (s)Video (s)Vie (s)VinaVine (s)VitaVitaeVoe (s)Void (s)Vote (s)
The (s) at he end
SPORTSMANSHIP a, aim(s), air(s), am, an, ant(s), amp, apart, apt, art(s), as, ash, at, ham(s), hash, harm(s), harp(s), harsh, hart(s), hasp(s), him, hip(s), his, hiss, hit(s), hop(s), host(s), hot(s), I, import(s), in, is, it, its, ma, man, map(s), mart(s), mash, mar(s), marsh, mass, mast(s), math, miss, mist(s), mop(s), morn(s), moss, most, nap(s), nip(s), nit(s), norm(s), north, nosh, o, oh(s), op(s), or, pan(s), parsnip(s), part(s), pass, past, pat(s), pin(s), pint(s), pi(s), pinto(s), pit(s), pot(s), porn, port(s), posh, pram(s), print(s), prism(s), prom(s), prompt, prop(s), psi(s), ram(s), ramp(s), rant(s), rap(s), rash, rasp(s), rat(s), rim(s), rip(s), roam(s), roast(s), roman, romp(s), rot(s), sap(s), sat, sham(s), sharp(s), shin(s), ship(s), shop(s), short(s), shot(s), sit(s), smash, snap(s), snappish, snapshot(s), snot(s), snort(s), so, sop(s), sot(s), snip(s), snit(s), spam(s), spar(s), spin(s), spit(s), spot(s), sport(s), sportsman, sportsmanship, sprain(s), sprint(s), star(s), stamp(s) staph, stash, stomp(s), storm(s), strain(s), strap(s), strip(s), strop(s), tam(s), tan(s), tap(s), than, thin, this, tin(s), tip(s), to, top(s), train(s), trap(s), tram(s), tramp(s), trash, trim(s), trip(s), tromp(s)
ACCOMPLISHMENTS a, as, at, ate, ace(s), ache(s), am, assent, aim(s), ale(s), ail(s), ape(s), accomplish(es), accomplishment(s), accent(s), ash(es), aisle, ailment(s), ample, amen(s), ant(s), come(s), com, cope(s), cone(s), con(s), coin(s), comment(s), coal, colt(s), cop(s), cot(s), coast, coat(s), comp(s), compile(s), complies, camp(s), cake, cant(s), cite(s), cost, clomp(s), clone(s), clam(s), chose, choice(s), chip(s), chap(s), chomp(s), chop(s), chain(s), chalice(s), chain(s), chin(s), chit(s), chime(s), clan(s), claim(s), clash(es), china, cleat(s), cheat(s), chat(s), clinch(es), cliche(s) chase(s), chant(s), camisole(s), case(s), en(s), em(s), eat(s), eon(s), echo, hi, ho, hone(s), home(s), hop(s), hope(s), hot, host, hose, heist, hip(s), hat(s), hate(s), haste, him, his, hit(s), he, heap(s), hasp, hail(s), hale, heal(s), heat(s), hilt(s), I, in, is, inset, into, imp, implies, isle, lie(s), ice(s), lie(s), lint, lime(s), lice, lip(s), lemon(s), list, lit, lite, lisp, lace(s), lamp(s), limp, lone, loan(s), loam(s), lot(s), late, last, lame, lane(s), lain, lance(s), lope(s), least, lost, lose, lash, lathe(s), limn(s), limp(s), me, mint(s), map(s), mate(s), mail(s), male(s), mane(s) main(s), mash, men, man, mane(s), mat(s), mate(s), mom(s), moan(s), mile(s), meal(s), mole(s), mote(s), math(s), mine(s), mean(s), meme(s), mesh, mist, mast, no, nope, not(s), note(s), net(s), neat, nap(s), nape(s), nit(s), nite(s), name(s), oat(s), o, oh, omen(s), pen(s), pent, plies, pile(s) poem(s), pone(s), pole(s), past, post, pit(s), pin(s), poet(s), polish, polite, place(s), police, plain, plane(s), sap, sail(s), same, sane, sat, sate(s), slash, slat(s), slit(s), slot(s), sit(s), sot(s), sash, sip(s), slip(s), slap(s), slam(s), slain, sine, sin(s), sect(s), set(s), sit(s), sent, saint(s), silo(s), sole(s), to, toe(s), tap(s), tape(s), tome(s), tone(s), ton(s), top(s), ship(s), shape(s), stale, stamp(s), stomp(s), staple(s), shine(s), slime(s), slim, so, sot(s), some, steal(s), teal(s), team(s), ten(s), tile(s), time(s), tine(s), tin(s), tam(s), tame(s), tamp(s), tan(s), til, tile(s), tail(s), tale(s) tom(s), to, tip(s)
PROFESSIONAL a, an, as, also, aeon, ape(s), are, alp(s), ass, are, apron(s), ale(s), ail(s), arise(s), arose, ear(s), earn(s), es, elf, eon(s), en(s), foal(s), fail(s), for, fore, file(s), far, fan(s), fear(s), fare(s), foil(s), fire(s), flop(s), flan(s), flap(s), flair(s), flare(s), flip(s), floor(s), floss, fool(s), I, ion(s), isle(s), if(s), is, in(s), lane(s), lap(s), leap(s), learn(s), lorn, leaf, lop(s), lip(s), less, lisp(s), loss, loan(s), lean(s), lion(s), loin(s), life, lair(s), liar(s), lore, loaf, lass, no, nope(s), nail(s), nap(s), nip(s), noel(s), noes, nose(s), nor, o, on, one(s), of, oops, pro, pros, pal(s), pool(s), pone(s), pole(s), pile(s), pail(s), pale(s), peal(s), plea(s), pear(s), pare(s), pair(s), pass, prof(s), prone, plan(s), plane(s), plain(s), parole(s), praise(s), role(s), rail(s), ran, real, reap(s), rile(s), ripe, rope(s), rose(s), rise(s), raise(s), rap(s), rip(s), rain(s), roan(s), son(s), sin(s), sine(s), slap(s), slop(s), spoof(s), spool(s), spore(s), spire(s), spear(s), spin(s), spine(s), spoon(s), span(s), spar(s), spoor(s), slip(s), slain, so
s x s or s + s + s + s
A s a, s s s, a a a, a a s, & s a s
Who knows SSS Ds S S S S D S D D D S S S S S S
PROCALGERSTE The longest word is "reportage(s)." Other words include: apogee(s), apostle, caplet(s), captor(s), career(s), cargo(es), caroler (s), carpel(s), carper(s), carpet(s), carport(s), carrel(s), carrot(s), cartel(s), carter(s), caterer(s), celesta, cereal(s), claret(s), clearer, clearest, coarse(r), coaster, corral(s), correlate(s), corsage, cortege(s), crater(s), create(s), creator(s), Creole(s), eaglet(s), elector(s), erector(s), escalop, escargot, escarole, gaoler(s), garote(s), garret(s), garrote(s), garter(s), gelcap(s), Gestapo, goatee(s), grater(s), greater, grocer(s), groper(s), lactose, largest, leaper(s), legate(s), legato(s), locate(s), operate(s), oracle(s), parcel(s), parlor(s), parolee(s), parole(s), parrot(s), patrol(s), pectoral(s), percale(s), percolate (s), pergola(s), petrel(s), petrol, placer(s), plaster, plasterer, plectra, polecat(s), polestar, portage(s), portal(s), porter(s), postage, Praetor(s), prater(s), prelate(s), presage, presort, procreate(s), prorate(s), protege(s), reactor(s), realest, realtor(s), reaper(s), receptor(s), rector(s), regales, regret(s), relapse, relater(s), relate(s), relocate(s), repeal(s), repeat(s), replace(s), report(s), respect, respelt, restore, retrace(s), roaster, roseate, scalper, scarlet, scepter/sceptre, specter/spectre, scraper, scrotal, seaport, select, selector, serrate, spectra, spectral, stapler, storage, terrace(s), toecap(s), tracer(s), treacle(s) Shorter words are: a, as, ape(s), ace(s), age(s) are, ate, cop(s), cope(s), cap(s), cape(s), caper(s), cage(s), care(s), car(s), cat(s), core(s), corps, corpse, crop(s), coal, clap(s), creep(s), east, eat(s), eager, Easter, eel(s), era(s), ego(s), eagle(s), gee, glop, got, get(s), goal(s), gel(s), grasp, gasp, gas, gal(s), great(s), grate(s), grape(s), greet(s), glare(s), grope(s), galore, lo, lore, lope(s), lose, lost, last, lest, late, leer(s), leg(s), lag(s), large, larger, largest, log(s), lace(s), least, later, latest, let(s), lot(s), lop(s), lap(s), opera(s), oat(s), ogre(s), or, ore(s), ogle(s), opal(s), oral(s), pro, parole(s), pal(s), pale(s), peer(s), pear(s), pore(s), pole(s), polar, port(s), pert, part(s), peel(s), peal(s), pace(s), pacer(s), page(s), pager(s), pate(s), pat(s), pare(s), past, paste, post, pot(s), pest, pet(s), peat, prate(s), plate(s), plat(s), place(s), rest, rat(s), rot(s), rote, role(s), rope(s), rage(s), rag(s), race(s), real, reap(s), rap(s), roster, rose, steal, steel, sea, seal, seep, set, sat, sot, sole, stole, soap, staple, step, steer, store, stare, star, steep, scale, scape, slag, slat, slate, slot, slope, sleep, sleet, scope, teal, terse, top(s), tap(s), trip(s), trap(s), tag(s), tog(s), tape(s), trace(s), to, toe(s), tarp(s), tale(s), tar(s), tore, tole