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PHYSICS I · UNIT 1 · CALCULUSSCENEOn the parabola f(x)=x2f(x)=x^2 over [1,3][1,3] the secant is drawn. Find the point cc where the tangent runs parallel to it.f(x)=x2 on [1,3]f(x)=x^2 \text{ on } [1,3]c = 1.86the tangent draws when you send
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PHYSICS I · UNIT 1 · CALCULUS1 of 6Functions, Domains, and RepresentationsA function assigns exactly one output to every input in its domain.f:D⊆R⟶Rf : D \subseteq \mathbb{R} \longrightarrow \mathbb{R}For f(x)=1x−2f(x)=\tfrac{1}{x-2} we need x≠2x \neq 2, so D=R∖{2}D = \mathbb{R}\setminus\{2\}. The number sets nest: N⊂Z⊂Q⊂R\mathbb{N}\subset\mathbb{Z}\subset\mathbb{Q}\subset\mathbb{R}.FormExampleExplicity=3x+2y = 3x + 2Implicitx2+y2=9x^{2}+y^{2}=9Parametric(cos⁡t,  sin⁡t)(\cos t,\; \sin t)
02

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BUSINESS I · UNIT 6 · MATRICESMULTIPLE CHOICEA 2×2 matrix has eigenvalues λ1=3\lambda_1 = 3 and λ2=5\lambda_2 = 5. What is det⁡(A)\det(A)?A15B8C2D−15CHECK
Correct!NEXT
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# AP Biology Study
142 members · 18 online
Pinned: Unit 4 Quiz is live. Try it now →
Alex M.
Alex M.2:01 PM
Has anyone finished the photosynthesis unit yet?
Elena K.
Elena K.2:02 PM
Just did! The AI quiz at the end was really good
Message #AP Biology Study...
Study Call
0:02 · 4 participants
LIVE
Alex M.
The Calvin cycle produces G3P...
Alex M.
Elena K.
Elena K.
Jordan L.
Jordan L.
You
You
Organic reaction maps for the whole unitAP Chemistry 128
Mini-courseKinematics in 6 questions
Physics I 77
Anyone else find the Krebs cycle easier as a loop diagram than a list?
AP Biology 23
Organic reaction maps for the whole unitAP Chemistry 128
Mini-courseKinematics in 6 questions
Physics I 77
Anyone else find the Krebs cycle easier as a loop diagram than a list?
AP Biology 23
Organic reaction maps for the whole unitAP Chemistry 128
Mini-courseKinematics in 6 questions
Physics I 77
Anyone else find the Krebs cycle easier as a loop diagram than a list?
AP Biology 23
Organic reaction maps for the whole unitAP Chemistry 128
Mini-courseKinematics in 6 questions
Physics I 77
Anyone else find the Krebs cycle easier as a loop diagram than a list?
AP Biology 23
Finally understood integration by parts. The trick is picking u so it gets simpler when you differentiate.
Maths Society 41
Timeline: the road to 1939History Club 96
Finally understood integration by parts. The trick is picking u so it gets simpler when you differentiate.
Maths Society 41
Timeline: the road to 1939History Club 96
Finally understood integration by parts. The trick is picking u so it gets simpler when you differentiate.
Maths Society 41
Timeline: the road to 1939History Club 96
Finally understood integration by parts. The trick is picking u so it gets simpler when you differentiate.
Maths Society 41
Timeline: the road to 1939History Club 96
My revision wall for finals weekStudy Together 302
Recursion, drawn outCS Basics 54
My revision wall for finals weekStudy Together 302
Recursion, drawn outCS Basics 54
My revision wall for finals weekStudy Together 302
Recursion, drawn outCS Basics 54
My revision wall for finals weekStudy Together 302
Recursion, drawn outCS Basics 54
Elena K.3h agoMade a 3-question warm-up on equilibrium — try it before the test.Adding more product shifts the equilibrium toward the …reactantsreactantsproductscatalyst✓ Correct! 34 6Sarah K. Q3 finally made Q vs K click. Thank you!
Alex M.5h agoAnnotated my whole titration write-up. 12 2
Jordan L.1d agoUnit 4 summary, 12 pages.
NewestTopUnanswered
▲24▼Why is chlorophyll green rather than black?✓ 3 answers412 viewsResolvedElena K. · 2h ago
▲11▼Is the second derivative test ever inconclusive?2 answers96 viewsOpenAlex M. · 5h ago
▲7▼Best way to memorise the Krebs cycle?0 answers58 viewsOpenJordan L. · 1d ago
▲2▼Does anyone have last year’s mock paper?4 answers231 viewsClosedSam R. · 2d ago
Maths Society · RoomsOpen▲11▼Is the second derivative test ever inconclusive?I know it fails when f″(c) = 0, but is that the only case?Alex M. · 5h ago · 97 views2 ANSWERS▲9▼Yes — f″(c) = 0 is the only inconclusive case. Then it can be a max, a min or neither, so you fall back to the sign of f′ either side.Priya N. · 4h✓ ACCEPTED▲3▼Worth remembering x⁴ and x³ at 0: both have f″ = 0 there, and one is a minimum while the other is not an extremum at all.Tomás R. · 2h✓ ACCEPTED▲0▼So for x³ the sign of f′ never changes across 0 — that is the "neither" case, and the first-derivative test settles it.You · just nowAdd an answer…↑
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Why is momentum conserved in a collision?
✳

Momentum is conserved because the forces the two carts exert on each other are equal and opposite, so the total change cancels. Try it: if the 2 kg cart slows by 3

+Explain it in your own words…↑
DocumentsFlashcardsQuiz
AllScienceMathematicsLanguagesHistory
PDFThermodynamicsMaría G. 142
PDFLinear AlgebraAlex P. 89
IMGAP BiologySarah K. 234
DOCFrench VerbsJules M. 67
IMGWorld HistoryChen W. 178
PDFOrganic ChemLiam R. 95
DOCCognitive ScienceDr. Reyes 311
IMGRecursion NotesPriya N. 58
PDFStatisticsTomás R. 120
DOCSpanish IdiomsMarta L. 74
PDFThe Cold WarWei C. 163
DOCCell RespirationSam R. 91
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Chemistry I — draftUnsavedPreview
STRUCTURE
Unit 1 · Equilibrium
Le ChatelierWhat shifts a systemAdding productRaising temperature+ Question
Reaction quotientQ against KPredicting direction
Unit 2 · Kinetics
Unit 3 · Thermochemistry
+ Unit
Multiple choiceWhich way does the equilibrium shift when you add more product?Towards the reactantsTowards the productsIt does not shift+ OptionWhich way does the equilibrium shift when you add more product?Towards the reactantsTowards the productsIt does not shiftPublish
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