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cheat sheet
- Radical Equations (\(x - \sqrt{\text{expr}} = c\)): Isolate root \(\rightarrow \) square both sides \(\rightarrow \) solve quadratic \(\rightarrow \) always check for extraneous solutions.
- Fractional Exponents (\((ax+b)^{1/3} + c = d\)): Isolate exponent term \(\rightarrow \) cube both sides to eliminate the \(1/3\) power \(\rightarrow \) solve for \(x\).
- Rational Functions (\(\frac{\text{top}}{\text{bottom}}\)): Set \(\text{bottom} \neq 0\). Solve to find
Geography sem 1 kt
प्राकृतिक भुगोलाचा अर्थ स्वरूप आणि व्याप्ती यांची चर्चा करा.
प्राकृतिक भूगोल ही भूगोलाची एक प्रमुख शाखा आहे, ज्यामध्ये पृथ्वीचे नैसर्गिक पर्यावरण, भौतिक घटक आणि त्यांच्यात होणाऱ्या प्रक्रियांचा
bio end of the year one pager
Biology Study Guide Summary:
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- Scientific Method & Measurement: Hypothesis-driven Science starts with a question or hypothesis; Hypothesis is a tentative, testable explanation or prediction based on observations; Theory has been repeatedly tested and consistently supported. Discovery Science focuses on observations and data ("What do we observe?"). Meniscus is the curved line on a graduated cylinder used to measure volume (read from the bottom of the curve, e.g., 5 mL is just below the 5).
engineering mechanics
Question 4: D'Alembert's Principle on Elevator / Lift
Given: Weight W = 1960 N, g = 9.81 m/s2. Mass m = 1960 / 9.81 = 199.8 kg (approx 200 kg using g = 9.8 m/s2).
D'Alembert Equation: Tension T = m*(g + a) for upward accel / downward decel, and T = m*(g - a) for downward accel / upward decel.
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Moving UP with acceleration a = 2 m/s2: T = 1960 + (200 * 2) = 2360 N
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Moving UP with deceleration a = 1.5 m/s2: T = 1960 - (200 * 1.5) = 1660 N
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Moving DOWN with acceleration a = 2 m/s2: T = 1960 - (200
Marathi sem 1 kt
नाटक' या साहित्य प्रकाराच्या व्याख्या स्पष्ट करून शोकात्मिका' या नाट्य प्रकारची सविस्तर माहिती लिहा
नाटक हा वाङ्मयाचा (साहित्याचा) असा एक एकमेव प्रकार आहे, जो केवळ वाचण्यासाठी नसून प्रामुख्याने
Indian Knowledge System
Q1. DEFINE IKS & ANALYZE EACH WORD
Definition: The Indian Knowledge System (IKS) refers to the systematic, continuous, and empirical stream of knowledge traditions developed, tested, and transmitted in the Indian subcontinent across millennia. It spans mathematics, science, medicine, architecture, philosophy, and governance.
Word-by-Word Analysis:
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Indian (Bharatiya): Refers to the indigenous origin within the geographical, cultural, and ecological landscape of ancient India (Bharatvarsha).
Anatomy
Chapter 12 Cheat Sheet – Brain & Spinal Cord
1. Major Regions of the Adult Brain
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Cerebrum – conscious thought, memory, sensation, voluntary movement
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Diencephalon – thalamus, hypothalamus, epithalamus
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Brainstem
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Midbrain
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Pons
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Medulla oblongata
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Cerebellum – balance, posture, coordination
Memory Trick: CDBC
(Cerebrum → Diencephalon → Brainstem → Cerebellum)
2. Ventricles
4 Ventricles
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Right lateral ventricle
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Left lateral ventricle
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Third ventricle
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Fourth ventricle
Rending for Dummies
How To Rend:
1. Decide the Effect of your Rending, and mix and match according to Concept descriptions. Lightning Bolt/Fireball = Forces 3/Prime 2, Dimension Door = Correspondence 3.
2. Make Individuality Test. Base DC = 10 + ((Dominant Concept Rank - 1) x 2) + (5 x No. of Secondary Concepts) + (Secondary Concept Ranks - No. of Secondary Concepts). DC is modified based on described situations in Difficulty Modifier column. Roll is modified based on described situations in Individuality Modifier...
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MACHINE LEARNING — EXAM CHEAT SHEET
Built from your notes' Model Question Paper — the exact questions likely to repeat
MODULE I — ML Foundations & Concept Learning
Q1(a). What is Machine Learning? Applications? [4M]
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Definition: field where computers learn patterns from data/experience instead of being explicitly programmed for every rule.
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Mitchell's formal definition: a program learns from experience E w.r.t. task T and performance measure P, if performance on T (measured by P) improves